{"as_of":"2026-08-17T14:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:37c0b7ca3fa29d5a589f88ed741096a03a0ebb210fdf608b0cdb499f4cd94a03","coverage":[{"denominator":71,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":71,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T10:54:53.492019Z","state":"measured"},{"denominator":71,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":71,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2504.17258/citation-record","integrity":"/paper/2504.17258/integrity","json":"/paper/2504.17258/citation-record.json","paper":"/paper/2504.17258"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.004769Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.004769Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:e5928ee09b6f6c3af149d35f019fbf5190eeb9e638eda66b3c78ff4c2402cf2d","observation_id":"d2cf573f-79ca-4251-8416-dd77ad695c82","resolution":{"observed_at":"2026-08-16T10:54:53.004769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:55.056997Z","title":"Roto-translation covariant convolutional networks for medical image analysis","venue":null,"work_id":"df93f963-140b-4d58-8274-eec34ee19ab0","year":2018},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.015313Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:aa5e809c38e013419c6ce54fa5c99718e05864893ce969905b41e5cb54c59b44","observation_id":"ddb99d4b-4dae-4a3b-8636-d1204a799a57","resolution":{"observed_at":"2026-08-16T10:54:55.062978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:55.028971Z","title":"A program to build E(N) -equivariant steerable CNNs","venue":null,"work_id":"3b787393-6720-42f2-bdaf-847fe4d11229","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.029022Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:5df6700b680ce41960a59b88d22b9691523d59ef5475f3cf1e428f141e262d8e","observation_id":"996eff96-3725-46d1-a7aa-335923c013a5","resolution":{"observed_at":"2026-08-16T10:54:55.035688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:55.004078Z","title":"Truly shift-invariant convolutional neural networks","venue":null,"work_id":"eaf76c4b-23c6-4580-ab49-e2fe75ce04cf","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.036464Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:a39d1cfcb2c2e9938e16345b4aa0354b5a1d3683f9f48cb6203b4d08b1c3b19f","observation_id":"e66a05dd-7072-4133-b2e5-9b996414d4fc","resolution":{"observed_at":"2026-08-16T10:54:55.010236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.981921Z","title":"Sampling theory for graph signals","venue":null,"work_id":"dc501305-7504-457c-a705-dee76686c7a9","year":2015},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.044445Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:28fa8ed6a8c2598871500d1c2b81db7371493407587b1bb6a561d34cce46b227","observation_id":"743e2385-28ca-4066-b870-8b2831c4a674","resolution":{"observed_at":"2026-08-16T10:54:54.988604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.947212Z","title":"Discrete signal processing on graphs: Sampling theory","venue":null,"work_id":"9059353b-083a-4152-89c2-a155adfe57ab","year":2015},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.051201Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:563af802a179730965a89c1d3d43f2333e2672c7ce1d5f7d9b9ed200b0f04bc8","observation_id":"43e124c3-7f14-410d-a4c2-b81a16fe952f","resolution":{"observed_at":"2026-08-16T10:54:54.959176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.909308Z","title":"An analysis of single-layer networks in unsupervised feature learning","venue":null,"work_id":"ba12bd19-a1f9-408c-9a11-1851f801e71d","year":2011},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.057779Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8044cb317a08dd54bca96fbd4e254338b7d61c8c77931be64ede16a9348edec7","observation_id":"e728ffc4-a413-4fcb-bf46-0d53005aaf67","resolution":{"observed_at":"2026-08-16T10:54:54.916555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.887917Z","title":"Group equivariant convolutional networks","venue":null,"work_id":"30aad22d-cb67-4a3d-9a14-f3bee556113d","year":2016},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.063806Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:fa96230668fd552cebaba1f2e7f07951a77d0e4fcdd5b4d5a72d8d28463a46c8","observation_id":"6e91d549-16de-4b08-a677-2b62d8b0f6a3","resolution":{"observed_at":"2026-08-16T10:54:54.894047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.868281Z","title":"Steerable CNNs","venue":null,"work_id":"edd340c6-1c65-424f-bfc8-1672b2c8ce40","year":2017},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.068750Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:14b3aadb896c17166baec03bd1b26d5e65d2daec6c3c07633e7abc7cbc4f7ee6","observation_id":"9fe113f2-9cd0-4290-afbf-d212471ae815","resolution":{"observed_at":"2026-08-16T10:54:54.875023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.832064Z","title":"A general theory of equivariant CNNs on homogeneous spaces","venue":null,"work_id":"aa3d2adb-d67b-4c37-bd59-1695ee176bba","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.074830Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:f937e89f738aa484fd673301cbce05d78501eeeccdaba893e572eff7380a477e","observation_id":"019a337a-c666-442e-aeb1-cef9d65d9eda","resolution":{"observed_at":"2026-08-16T10:54:54.839561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.802530Z","title":"The MNIST database of handwritten digit images for machine learning research","venue":null,"work_id":"1b1e08ee-83f4-4c76-87ff-2566ff04531c","year":2012},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.085463Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:809b140ab08bdaf042b39c80c3f4920595ad978659c1a3cd3fe9b9df76531724","observation_id":"004ba2d9-c505-482c-906d-4830d86942c0","resolution":{"observed_at":"2026-08-16T10:54:54.812013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.773868Z","title":"Groups and the sampling theorem","venue":null,"work_id":"2b55e284-ebf4-4bd9-a7fd-9e33d0a7cae1","year":2007},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.091404Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:cc0d882a83edfe3ac2f2576411437938832c3a59a559de8f8167147651c329d3","observation_id":"433f2ddc-a6b9-4992-b467-b16fdf51006c","resolution":{"observed_at":"2026-08-16T10:54:54.787070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.752735Z","title":"Learning Laplacian matrix in smooth graph signal representations","venue":null,"work_id":"938180bc-1283-46df-9246-0fd7a2029b14","year":2016},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.096626Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:1359d8d13468741af2c50f3bd3408bd7eae17e1a39e5bfaea4bb96615b270b71","observation_id":"c7a143bb-25e4-4850-aa6c-562f9505ef2a","resolution":{"observed_at":"2026-08-16T10:54:54.759011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.735085Z","title":"An image is worth 16x16 words: Transformers for image recognition at scale","venue":null,"work_id":"1606f147-c422-4308-bf09-bf4b49d5bc30","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.103199Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:1df6e83fa21f62d49c27eb79545c4aa0656a57308a95dd36b43f117551dc99c5","observation_id":"cf05f9ae-2e14-44c7-8dd9-a331891e1ddc","resolution":{"observed_at":"2026-08-16T10:54:54.740437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.717392Z","title":"A new perspective on building efficient and expressive 3D equivariant graph neural networks","venue":null,"work_id":"f8bfe117-7ecc-4f7f-b73d-60632a1a8c10","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.108040Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:423744d8d9aba1e0d11c12adc1953e1df42b5a77be2e3754df3b26cea4fa7345","observation_id":"44caf76b-2e64-4d11-8d02-da98e75612ea","resolution":{"observed_at":"2026-08-16T10:54:54.722763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.699888Z","title":"A generalized sampling theorem for locally compact abelian groups","venue":null,"work_id":"091f409d-345c-4537-b53f-c36895358a16","year":1994},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.116923Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:5f7402eca0bf6c5c5bd3dec97aa8acba58d82e056d454344bd3d4519b0c2e011","observation_id":"3b40e15e-965b-42b5-a3ce-e028970ccd08","resolution":{"observed_at":"2026-08-16T10:54:54.705257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.677938Z","title":"A course in abstract harmonic analysis","venue":null,"work_id":"879b032c-1d3f-4069-8107-7bf1c91fbdc2","year":2016},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.123479Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:9621dc445e50e53a94b97a7e57f38de8db75be9166aef974def42933e2e5ac90","observation_id":"992f74ea-8dad-4f01-ac99-845b63c1f462","resolution":{"observed_at":"2026-08-16T10:54:54.683242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.656673Z","title":"Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position","venue":null,"work_id":"a9c6ff4f-4abd-4796-ac32-2949faa90fa1","year":1980},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.128891Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:c5968286856089e553d3b3051eb6aa1ca4f19859a0946eed29fc4b1510e8d2a2","observation_id":"3a3d6cb9-1c89-43a8-bbd0-575c4863bbeb","resolution":{"observed_at":"2026-08-16T10:54:54.664589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.634465Z","title":"The lie derivative for measuring learned equivariance","venue":null,"work_id":"afbf48ba-d6c6-44fd-8a5c-0c2c9194773e","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.134352Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:7d5c058e6014632dab356e56aea20ebacb49e7f5dd7bd79a653f58f296423a28","observation_id":"1767b2a3-0c15-4ff2-998f-9c4207c623ec","resolution":{"observed_at":"2026-08-16T10:54:54.640805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.611963Z","title":"Deep models of interactions across sets","venue":null,"work_id":"63defeae-f402-4fdc-bf87-0425beee3dca","year":2018},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.139993Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:56483315109d90e481d58e4cf4efe2368379c08c1996e6cd7cad5dcad48ecedb","observation_id":"47c2ff3b-9a1b-4aa0-be3f-f65dac9aecc7","resolution":{"observed_at":"2026-08-16T10:54:54.620096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.146853Z","title":"Deep residual learning for image recognition","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.146853Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:85dac5e1fa24d1735cb43fe9094c3a276ddf1e2dd7caae89649213b5811fae4d","observation_id":"f460ac5e-d7ba-4533-a640-c2f3fb34c525","resolution":{"observed_at":"2026-08-16T10:54:53.146853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.575207Z","title":"Algebra: a graduate course, volume 100","venue":null,"work_id":"6c260618-70c9-4bec-a84e-ddc64f3f1daa","year":2009},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.152937Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:293af928c719c1bac01e3282806acfea893a09c06f7caa3e748ff147242518ef","observation_id":"c137e07e-eaf7-4cf8-ab52-d46e7bf9133f","resolution":{"observed_at":"2026-08-16T10:54:54.582441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.550957Z","title":"Alias-free generative adversarial networks","venue":null,"work_id":"798267c8-8c7e-4aa8-913e-cfff41456139","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.158424Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:43d4ddd0678523324ff96f3d9888e31f73ec2efa90630095f741cf0d0807c2fb","observation_id":"cc033cb7-f9c5-4182-9351-0c26253de8bb","resolution":{"observed_at":"2026-08-16T10:54:54.559207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.531839Z","title":"On the generalization of equivariance and convolution in neural networks to the action of compact groups","venue":null,"work_id":"faf90edc-12ac-48a1-a144-ed8f9bdc2b60","year":2018},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.164105Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:4482ad5ff5d6b9c143a66b5725e645cb6a2ec3cd9f67da1701d6191d29696908","observation_id":"6066743f-8ae5-400b-adf2-5e86065564e9","resolution":{"observed_at":"2026-08-16T10:54:54.538557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.510677Z","title":"A software package for sequential quadratic programming","venue":null,"work_id":"499cb4c6-f5f1-42f4-93de-426cd718270f","year":1988},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.173244Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:5eef61e50db67de2fdaf3d0d3cc92790b92d0d11bf6a5df2617de38a8b13593f","observation_id":"13a32910-0f0b-4cff-8df5-c672451a946c","resolution":{"observed_at":"2026-08-16T10:54:54.516413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.183801Z","title":"Learning multiple layers of features from tiny images","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.183801Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:864cb121a234d7a53e9147d46693b6971c37a67841b8b53c05383d66a95e7291","observation_id":"2b007e7d-0b17-4035-91bd-dfeb9fdad797","resolution":{"observed_at":"2026-08-16T10:54:53.183801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.480303Z","title":"Object recognition with gradient-based learning","venue":null,"work_id":"d9c54a3b-e076-4f2f-be6d-ecbef8a5fee5","year":1999},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.190231Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:7253edaa9cd92c64e89696314e195a761b38bfee095f67846b2b76f1aa0080fc","observation_id":"9aab1663-ecc4-4442-ac58-8117f66fa3c6","resolution":{"observed_at":"2026-08-16T10:54:54.485955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.459785Z","title":"Equiformer: Equivariant graph attention transformer for 3d atomistic graphs","venue":null,"work_id":"19e354ba-d9d6-4f91-98b8-f33569e8c7ca","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.197619Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:b2e45b458d1af2be033bc7176fc15ed68d2f2216cb8c8b3d40cd85bf1610d8d4","observation_id":"97906b8f-f2b2-470f-b329-de57c2ea51ed","resolution":{"observed_at":"2026-08-16T10:54:54.466136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.436956Z","title":"PIC : permutation invariant critic for multi-agent deep reinforcement learning","venue":null,"work_id":"3c6df7d7-929e-4b33-a4f4-6992a58db89c","year":2020},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.203697Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:2270309a39fd93aec05ad4c83b586b0171c42a8c89cbe704ec5618c53e89e15a","observation_id":"4ddcb3b3-1394-4cc4-884e-72a0bca38f84","resolution":{"observed_at":"2026-08-16T10:54:54.444537Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.413410Z","title":"Semantic tracklets: An object-centric representation for visual multi-agent reinforcement learning","venue":null,"work_id":"30a18c98-27a4-4077-84c4-dd203b911478","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.208796Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:5512a70e71b9915ab0ef960c6a2a1c1d0966f82e5d284121bc029e00be289157","observation_id":"dbc1e145-868a-48ee-ac81-c7358d93fea7","resolution":{"observed_at":"2026-08-16T10:54:54.421754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.392275Z","title":"Swin transformer: Hierarchical vision transformer using shifted windows","venue":null,"work_id":"0f84c365-5b69-403f-81f4-79b75c3146a1","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.214585Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8a2feb9e07036c4a41fe0fb1688ce7fc99d0df66c043a005fcb70da4a8aa8475","observation_id":"5c8fa92e-3b12-4f45-a84d-4caa3b9a3dda","resolution":{"observed_at":"2026-08-16T10:54:54.400088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.369970Z","title":"A ConvNet for the 2020s","venue":null,"work_id":"5c0e0934-262e-4491-86d2-8ff5b5f91952","year":2022},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.222582Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8a92aee0c1788643fd59c0ba253cbad67c6c8c7f252dcac2bfcbdcbebd75eb75","observation_id":"6927b26b-8cc8-4eb6-8aea-210ced02173b","resolution":{"observed_at":"2026-08-16T10:54:54.377184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.346886Z","title":"Invariant and equivariant graph networks","venue":null,"work_id":"496580a9-2f2e-4ff1-b916-2dde99e674a0","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.228752Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:048f4bcf074f754192092c29e1c14e51310fd01728baa78ca7f432abb5d1a2bf","observation_id":"36eb4da3-f486-4efa-b63b-c352afdccce8","resolution":{"observed_at":"2026-08-16T10:54:54.354743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.324398Z","title":"A novel sampling theorem on the rotation group","venue":null,"work_id":"dff84a2e-d86e-42dd-a14c-e63eeb7a3ffd","year":2015},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.236004Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:1489d835e7db6714c278b92dd3b4ef6330cb1edd3e20241d8a1cd76ff047a5e3","observation_id":"a18ea53e-5ed1-42e1-907c-fabd31e49f20","resolution":{"observed_at":"2026-08-16T10:54:54.331207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.303509Z","title":"S peq N ets: Sparsity-aware permutation-equivariant graph networks","venue":null,"work_id":"fecbb763-3620-483b-ad6f-21ef78502864","year":2022},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.243191Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:4f5bf04bdb191812ac1bc14ecfdb4ddc59a6d5ae0e15d0eb9d611e283e8f4a6e","observation_id":"b8a00813-3e6f-41e7-89db-bea0b3869282","resolution":{"observed_at":"2026-08-16T10:54:54.309628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.276779Z","title":"Neural networks for learning counterfactual G -invariances from single environments","venue":null,"work_id":"16c72d04-cc59-4153-b708-eba0b08ff759","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.249669Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8cc3c1d3d198b73f8b110c9eb05ba7da36f4c0f772c7b0888e15295b5a5fb532","observation_id":"6fd4e6f6-4d32-4395-bed7-f29607881367","resolution":{"observed_at":"2026-08-16T10:54:54.283746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.258497Z","title":"Geometric invariant theory","venue":null,"work_id":"2e020951-df7e-41b1-adf3-cff4f2031c86","year":1994},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.257784Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:ae1e9b16d317059f4f7a5232076cc1475c7ac2e9c24d96e1dfbac8c0b6d23029","observation_id":"281d4266-5b6e-4fd7-a73f-4057cb3d983d","resolution":{"observed_at":"2026-08-16T10:54:54.264942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.235357Z","title":"Cyclic spectral analysis of continuous-phase modulated signals","venue":null,"work_id":"0864aeb5-f936-431b-8ed3-286ddca89a1d","year":2001},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.265094Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:6fa2846d38231ccd01dae4f541a565ffb19909a5dad0a686d77949bcde0daea2","observation_id":"3981c8d1-b288-47a2-bbc1-27ee55a04d24","resolution":{"observed_at":"2026-08-16T10:54:54.242644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.212631Z","title":"The completeness of the primitive representations of a closed continuous group","venue":null,"work_id":"73624de4-0a72-4e15-b9e3-18c4f24de6f5","year":1927},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.271774Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:a2d4649cbdfaccf9d96d22c7284ad53c980bc97a9fc7f48b0e0f542b74770c49","observation_id":"246bd03a-44cb-46ba-8857-e2b92e820c90","resolution":{"observed_at":"2026-08-16T10:54:54.221720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.188741Z","title":"Truly scale-equivariant deep nets with Fourier layers","venue":null,"work_id":"bc700177-65cb-4582-9b58-cefc0921ac22","year":2024},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.277417Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:3d727bb2895b202ddead6704172e9cdcfc752c8bef66f596c95259fe0e698a9d","observation_id":"993d86aa-6752-4638-ab33-2c97c99717eb","resolution":{"observed_at":"2026-08-16T10:54:54.194595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.166654Z","title":"Yeh, Jean Kossaifi, Kamyar Azizzadenesheli, and Anima Anandkumar","venue":null,"work_id":"7c0b7235-cc31-4544-abde-89ea864acb75","year":2024},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.283536Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:5854d581a7a9e8421e4e9d500d453647890ccb8d236d1e4d77bf66e989690291","observation_id":"6f1beeda-1e0e-475c-9fd0-1a03e79d6118","resolution":{"observed_at":"2026-08-16T10:54:54.173157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.148548Z","title":"Deep learning with sets and point clouds","venue":null,"work_id":"8c148e4d-1757-4cc9-a4e8-f2d8bc19fbe1","year":2017},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.289560Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:ba4dd61f9afa998c429e96cbe29ada02a44481126aa1b4629fb6bc1613486e96","observation_id":"dc98eb68-6ade-4adb-8c39-795e3419f3fc","resolution":{"observed_at":"2026-08-16T10:54:54.154095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.127773Z","title":"Learnable polyphase sampling for shift invariant and equivariant convolutional networks","venue":null,"work_id":"3e4caf0e-1f21-459b-9803-027639553d9f","year":2022},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.296366Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:783eadedc8e8a00b570c0fd959140b66788c76a6ce5f3093f282c9eba780bcc0","observation_id":"b374ce22-ae1d-4798-b366-4ec50c6b25f6","resolution":{"observed_at":"2026-08-16T10:54:54.134556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.103534Z","title":"Making vision transformers truly shift-equivariant","venue":null,"work_id":"e73a15e4-8ea7-4e28-a9bb-f413b6f969da","year":2024},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.306911Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:3d6cab47c59a764a92022115a5a9ed5eb1072fead4b46ab8dd3f3164d8031867","observation_id":"a6b47e72-ac08-4ae5-a5c9-f445d1606e4b","resolution":{"observed_at":"2026-08-16T10:54:54.109669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.080374Z","title":"Romero and Jean-Baptiste Cordonnier","venue":null,"work_id":"01fc4dc2-31ac-41f3-a739-c253ccb7322b","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.315390Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:302b845ddcd6e623d504205b83e4bce20b29d206dd090d60dfcc30cd8b758003","observation_id":"521b63ba-3a47-4f6e-8c34-95fb7702e770","resolution":{"observed_at":"2026-08-16T10:54:54.086523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.053824Z","title":"Communication in the presence of noise","venue":null,"work_id":"43d5e8e5-d798-4531-9e69-4fb5c28c73d1","year":1949},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.321293Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:53bc0769c3adfd4b2c39ea2c7595fa6cc5871663ebd932b3168e61a6fa73434d","observation_id":"49a75fef-1995-4a54-ab54-d63b82e29c8e","resolution":{"observed_at":"2026-08-16T10:54:54.063427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.031492Z","title":"The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains","venue":null,"work_id":"7fc792d0-16d5-4c65-8a5b-e1b4641f18bd","year":2013},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.326603Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:ea70a43a0455f646d5ae4e1d01490d759957703fae9d0ee320806185415dedee","observation_id":"230a5ed9-8ef1-4519-af64-ca00d7e48554","resolution":{"observed_at":"2026-08-16T10:54:54.037299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:54.011086Z","title":"Fourier analysis on finite groups with applications in signal processing and system design","venue":null,"work_id":"c7924a08-220b-44f1-b1cb-61e1f9c132b5","year":2005},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.331964Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:109c65f0050a15502e8eb943c0424d215c5ce0a1fa6f3946f99bfbf3f87d138c","observation_id":"863dac85-b6c3-4af6-9fb0-c2a0523932fc","resolution":{"observed_at":"2026-08-16T10:54:54.016947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.987984Z","title":"Equivariant transformer networks","venue":null,"work_id":"4560e8ea-59c6-4b60-9a8b-9628182cf678","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.338836Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:4e9243b6fb233932a05861904a60ee1217a86686ca2c9f0fb4b4f297ddc3f5b2","observation_id":"032b0c1c-dbb7-4731-8292-acea64cc7962","resolution":{"observed_at":"2026-08-16T10:54:53.993882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.967973Z","title":"Cyclic LTI systems in digital signal processing","venue":null,"work_id":"cea64c6a-2004-4f0f-8456-f5dcac38c979","year":1999},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.344730Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:f78e5ba622da708e329847ef25d6814b95c23a2cee50d7dd024d4b4e9bacce1a","observation_id":"0e1720ab-52ad-45c3-9cad-4fad470c07c7","resolution":{"observed_at":"2026-08-16T10:54:53.974259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.950044Z","title":"Impact of aliasing on generalization in deep convolutional networks","venue":null,"work_id":"cbab7f61-c3e8-4cea-8c34-dd2ac26e1948","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.354916Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:75bc3179c587a9526c7b2b535df4412e4919b78c66ab22a72614900fd409fd81","observation_id":"227e2560-9fda-4603-9511-0e5e0b8827b2","resolution":{"observed_at":"2026-08-16T10:54:53.955957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.362050Z","title":"Foundations of signal processing","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.362050Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:aab7037032fff350b7a88a06a1627c3ee45ee5f1c4529ed71110b6b3e2689982","observation_id":"ebd64c5d-2b5e-4658-8495-0c150d52cafb","resolution":{"observed_at":"2026-08-16T10:54:53.362050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.920931Z","title":"A general theory of correct, incorrect, and extrinsic equivariance","venue":null,"work_id":"173ce48d-cf61-4e92-b9d6-a22f7ea4ccc4","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.368682Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:300f47757f7846b21ed837c728f768c3a1010edaa840019ea0e1d3d810222efe","observation_id":"5a1be088-41bb-4d60-9689-67e4ef89fcb2","resolution":{"observed_at":"2026-08-16T10:54:53.926152Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.902863Z","title":"General E(2) -equivariant steerable CNNs","venue":null,"work_id":"3f0b4285-53ff-4582-abf2-dd962844e0ff","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.378430Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8ea233f6059cdd6bbb333ff964517ebea4a86d3b84358ea2842853998661650c","observation_id":"2dbac473-bc19-4274-aa07-5cf8d48a511e","resolution":{"observed_at":"2026-08-16T10:54:53.909394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.881661Z","title":"Learning steerable filters for rotation equivariant CNNs","venue":null,"work_id":"1a7c22ef-9a08-4b8d-b00e-fee7917e2a8b","year":2018},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.384833Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:4af3ffd76ec2c596d37462d4f0550a08a61f8e96fa8de5c373dc332f8a594a98","observation_id":"6f8e9dcd-dae4-408f-8d3f-4abef34a6419","resolution":{"observed_at":"2026-08-16T10:54:53.888498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.860352Z","title":"Deep scale-spaces: Equivariance over scale","venue":null,"work_id":"e46be406-432e-49f6-9734-cc1387038904","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.391518Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:1d675902d4d0b5f79a92a36386e7ea457b80e680dac5766a3bd3852e2efc357d","observation_id":"9a01bddd-7a2b-4893-b7ef-da50aebbf32c","resolution":{"observed_at":"2026-08-16T10:54:53.867090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.837088Z","title":"CvT : Introducing convolutions to vision transformers","venue":null,"work_id":"f346048a-cc23-4990-9abf-7547e33e453f","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.396466Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:94b7fd627024ee74b0dc188db2305d5d50b8d1d3de6c18b94dc55fb108759bb0","observation_id":"f889dd79-4ca2-4c70-959b-7820d0c3a97e","resolution":{"observed_at":"2026-08-16T10:54:53.844646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.814950Z","title":"Group equivariant subsampling","venue":null,"work_id":"362b4f0f-4311-4a2f-a7e9-28750d00d454","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.403741Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:232487cbd8dfc4c3a48fd0d360600397873858b79ccb2ee8766af59b729f68fa","observation_id":"037335ee-254c-4979-bf61-df216ce3ef6d","resolution":{"observed_at":"2026-08-16T10:54:53.820582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.795330Z","title":"E (2) -equivariant vision transformer","venue":null,"work_id":"be9c8fd0-b241-4cfc-94af-24caa5991aad","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.408946Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:b50e50635c0600544a46fd7beb62d58280c1e0f98666a01697b14f38f7f04b9b","observation_id":"15b3eba3-919c-49c4-83de-2450421fcaf6","resolution":{"observed_at":"2026-08-16T10:54:53.801821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.770010Z","title":"Deep nets with subsampling layers unwittingly discard useful activations at test-time","venue":null,"work_id":"f5262446-9fe0-4003-a2f9-154c993ef796","year":2024},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.415974Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:ee5d3a9c4a68547510bda9cb242b0f877e79ff9edb1e8a61a81cdc9c94336d94","observation_id":"2cafdfd1-fb35-4958-a7c4-4a8c198c6302","resolution":{"observed_at":"2026-08-16T10:54:53.776774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.749617Z","title":"Chirality nets for human pose regression","venue":null,"work_id":"291af4f7-df05-40e6-9409-5e8e3b032dcf","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.424671Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:d48e386b6e4668f3816a4a86e05965502a2ae54627d60d3ec4a715dc463395b9","observation_id":"fb716160-7497-439f-87c0-4b758c77dc92","resolution":{"observed_at":"2026-08-16T10:54:53.755855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.729006Z","title":"Diverse generation for multi-agent sports games","venue":null,"work_id":"dffa743c-7e15-4a87-97d6-df2f6cbf2127","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.431876Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8681a45cdd5f24050526ffe2dd7678b4b16dad65f35cc4c2322cc6b44bc9ecdb","observation_id":"e8fc33f2-fab7-4707-ad8e-2358c85c4341","resolution":{"observed_at":"2026-08-16T10:54:53.736128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.702545Z","title":"Equivariance discovery by learned parameter-sharing","venue":null,"work_id":"1bd73422-9f8a-4776-99e0-5351c794fde1","year":2022},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.437690Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:d97e12b20a3e4d809b05ca073148cea6bd728a587cf8d2718704be659925d517","observation_id":"8688d97b-35cb-4e20-8f44-b0c5d8b0ec19","resolution":{"observed_at":"2026-08-16T10:54:53.712408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.682931Z","title":"Deep sets","venue":null,"work_id":"5cdd429d-f4f0-4c15-8c17-bc32cf0a2259","year":2017},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.443694Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:3b31ba644a2e0a771cb2f9a4d108b7770a3dcaa745a46d31bb9c3ad7f0979e44","observation_id":"8ede1dce-cfb8-4e0c-8bbe-3dc32621a4cf","resolution":{"observed_at":"2026-08-16T10:54:53.690909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.661244Z","title":"Dive into deep learning","venue":null,"work_id":"d62984b8-15b0-4257-bee8-6e07196d174c","year":2023},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.449316Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:654ea8ae5e42be77f03d3b616aea371daaf222b1f4e8d0bd20d03ea3249a9126","observation_id":"22c67ef6-967b-4f40-a313-e2848ce313a2","resolution":{"observed_at":"2026-08-16T10:54:53.667327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.642906Z","title":"Making convolutional networks shift-invariant again","venue":null,"work_id":"562e1020-77b5-4874-b9a8-33de2030839f","year":2019},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.459705Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:db3e7a6a71d4f740ca107e6d9aac223426bf3dad0197d0086395f64ba292b874","observation_id":"482ca4e9-74fc-48d7-aae8-9edd198d61be","resolution":{"observed_at":"2026-08-16T10:54:53.648632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.11839","last_updated":"2021-09-24T09:32:10Z","snapshot_observed_at":"2026-08-16T17:54:21.494506Z","submitted_at":"2021-09-24T09:32:10Z","title":"Frequency Pooling: Shift-Equivalent and Anti-Aliasing Downsampling","version":1},"cited_work":{"arxiv_id":"2109.11839","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.11839","snapshot_observed_at":"2026-08-16T10:54:53.570655Z","title":"Frequency Pooling: Shift-Equivalent and Anti-Aliasing Downsampling","venue":"cs.CV","work_id":"cee2b607-012f-46d4-95d4-329eeec0610b","year":2021},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.465486Z"},"links":{"cited_paper":"/paper/2109.11839","citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:8b71637da47eed5a8cb059d4f2eaef801d0aa8975fd098a46d02895747c4dce6","observation_id":"4a38da77-7f5c-4c60-880a-a1cdf9338b45","resolution":{"observed_at":"2026-08-16T10:54:53.578759Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.623409Z","title":"Delving deeper into anti-aliasing in ConvNets","venue":null,"work_id":"1138d78a-28f2-4efb-a1f8-a6e83cc223a0","year":2020},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.472110Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:c61b3ceeed9e2e8fb28a5fee34c297d66a7a281935d6b22659825f22d7f6ea4d","observation_id":"6cc8bce5-ee43-4e94-ab7b-aacdfe613547","resolution":{"observed_at":"2026-08-16T10:54:53.628782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.479076Z","title":"@esa (Ref","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.479076Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:a7432ac36f316a4e538410ec3a242c1f4d992ffd0c18a4c17d01b341a47fa0c3","observation_id":"45ceccb5-ec2a-4952-80b2-1012b47d188e","resolution":{"observed_at":"2026-08-16T10:54:53.479076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:53.485110Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.485110Z"},"links":{"citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:9922d70dbabe2cfd9fe77a7293c2007fdfa3ea0593946ad5c9c7cb6a2762c729","observation_id":"b1db7736-fb8f-484b-9c28-93632d85c04c","resolution":{"observed_at":"2026-08-16T10:54:53.485110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.02984","last_updated":"2024-06-18T15:01:13Z","snapshot_observed_at":"2026-08-16T16:26:23.364061Z","submitted_at":"2022-10-06T15:20:55Z","title":"The Lie Derivative for Measuring Learned Equivariance","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.02984","snapshot_observed_at":"2026-08-16T10:54:53.492019Z","title":"Yeh and Jean Kossaifi and Kamyar Azizzadenesheli and Anima Anandkumar , booktitle= Proc","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-16T10:54:53.492019Z"},"links":{"cited_paper":"/paper/2210.02984","citing_paper":"/paper/2504.17258"},"observation_digest":"sha256:3f23ad6097f010475459b8db1bcae8b545efa44c4273845aea9fb172edba0467","observation_id":"05901831-368f-42f2-8360-9c1c80937f2e","resolution":{"observed_at":"2026-08-16T10:54:53.492019Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2504.17258","last_updated":"2025-04-24T05:29:51Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T19:13:14.988363Z","submitted_at":"2025-04-24T05:29:51Z","title":"Group Downsampling with Equivariant Anti-aliasing"},"reference_resolution":{"displayed":71,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":63},"total_outbound_references":71},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2504.17258."}