{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XHRA4IJXS3QDUSVBOXJG45B3UM","short_pith_number":"pith:XHRA4IJX","schema_version":"1.0","canonical_sha256":"b9e20e213796e03a4aa175d26e743ba31a4a71ed17421d888c1a3937729c6754","source":{"kind":"arxiv","id":"1406.4205","version":1},"attestation_state":"computed","paper":{"title":"Replicating Kernels with a Short Stride Allows Sparse Reconstructions with Fewer Independent Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"q-bio.QM","authors_text":"Dylan M. Paiton, Garrett T. Kenyon, Peter F. Schultz, Wei Lu","submitted_at":"2014-06-17T01:07:48Z","abstract_excerpt":"In sparse coding it is common to tile an image into nonoverlapping patches, and then use a dictionary to create a sparse representation of each tile independently. In this situation, the overcompleteness of the dictionary is the number of dictionary elements divided by the patch size. In deconvolutional neural networks (DCNs), dictionaries learned on nonoverlapping tiles are replaced by a family of convolution kernels. Hence adjacent points in the feature maps (V1 layers) have receptive fields in the image that are translations of each other. The translational distance is determined by the dim"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1406.4205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2014-06-17T01:07:48Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"dbca0f33b50822168c9b60f7bc4c56d265877f9a9edf67c06b7112f5dd29d956","abstract_canon_sha256":"465789f50a7740de85937afdb8e3cbbb7afc3b1b3952844f10eac86f0d0db4ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:38.167578Z","signature_b64":"jPXmGe/oKHJyjnZTBeTjEbmUdz7Nv318yRk8Kq9j/zCMOErC1U7mc59biLUD/GFk67XpLlMU+7g0A7g+VCSHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9e20e213796e03a4aa175d26e743ba31a4a71ed17421d888c1a3937729c6754","last_reissued_at":"2026-05-18T02:49:38.167094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:38.167094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Replicating Kernels with a Short Stride Allows Sparse Reconstructions with Fewer Independent Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"q-bio.QM","authors_text":"Dylan M. Paiton, Garrett T. Kenyon, Peter F. Schultz, Wei Lu","submitted_at":"2014-06-17T01:07:48Z","abstract_excerpt":"In sparse coding it is common to tile an image into nonoverlapping patches, and then use a dictionary to create a sparse representation of each tile independently. In this situation, the overcompleteness of the dictionary is the number of dictionary elements divided by the patch size. In deconvolutional neural networks (DCNs), dictionaries learned on nonoverlapping tiles are replaced by a family of convolution kernels. Hence adjacent points in the feature maps (V1 layers) have receptive fields in the image that are translations of each other. The translational distance is determined by the dim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4205","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1406.4205","created_at":"2026-05-18T02:49:38.167163+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.4205v1","created_at":"2026-05-18T02:49:38.167163+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4205","created_at":"2026-05-18T02:49:38.167163+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHRA4IJXS3QD","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHRA4IJXS3QDUSVB","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHRA4IJX","created_at":"2026-05-18T12:28:57.508820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM","json":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM.json","graph_json":"https://pith.science/api/pith-number/XHRA4IJXS3QDUSVBOXJG45B3UM/graph.json","events_json":"https://pith.science/api/pith-number/XHRA4IJXS3QDUSVBOXJG45B3UM/events.json","paper":"https://pith.science/paper/XHRA4IJX"},"agent_actions":{"view_html":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM","download_json":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM.json","view_paper":"https://pith.science/paper/XHRA4IJX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.4205&json=true","fetch_graph":"https://pith.science/api/pith-number/XHRA4IJXS3QDUSVBOXJG45B3UM/graph.json","fetch_events":"https://pith.science/api/pith-number/XHRA4IJXS3QDUSVBOXJG45B3UM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM/action/storage_attestation","attest_author":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM/action/author_attestation","sign_citation":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM/action/citation_signature","submit_replication":"https://pith.science/pith/XHRA4IJXS3QDUSVBOXJG45B3UM/action/replication_record"}},"created_at":"2026-05-18T02:49:38.167163+00:00","updated_at":"2026-05-18T02:49:38.167163+00:00"}