{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GYL3CREDZJ4FT4EPKXE4EUOB32","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3bf8ac27ad06d0c2060f2939fe3ec1562704e4798925ae58609a6f75dc08939b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T15:10:33Z","title_canon_sha256":"49b11cf289c8db185b4391fd62e98fe343dc5b483129a9d95e823b1907442509"},"schema_version":"1.0","source":{"id":"2605.25124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25124","created_at":"2026-05-26T02:04:19Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25124v1","created_at":"2026-05-26T02:04:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25124","created_at":"2026-05-26T02:04:19Z"},{"alias_kind":"pith_short_12","alias_value":"GYL3CREDZJ4F","created_at":"2026-05-26T02:04:19Z"},{"alias_kind":"pith_short_16","alias_value":"GYL3CREDZJ4FT4EP","created_at":"2026-05-26T02:04:19Z"},{"alias_kind":"pith_short_8","alias_value":"GYL3CRED","created_at":"2026-05-26T02:04:19Z"}],"graph_snapshots":[{"event_id":"sha256:8296eefcfef231413c30d1da114caff3c5ec022bb6847307c0bc33456d34d5e5","target":"graph","created_at":"2026-05-26T02:04:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.25124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Gini Multidimensional Scaling (Gini MDS) framework extends the Euclidean multidimensional scaling. We introduce a Gini pseudo-distance based on values and their ranks that depends on a fine-tunable hyperparameter. This pseudo-distance allows flexible exploration of latent configurations, enabling embeddings that best match observed dissimilarities. The Gini MDS is shown to be robust to noise and outliers, making it well-suited for real-world applications. We provide experiments on 16 UCI datasets with outliers and on MNIST images with noise to show that the Gini MDS outperforms the Euclide","authors_text":"Cassandra Mussard, St\\'ephane Mussard","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T15:10:33Z","title":"Optimizing Multidimensional Scaling in Gini Metric Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25124","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6590154761bad94edb18e69ff1af3985ea95a4860872c0a930add6af8a8860e6","target":"record","created_at":"2026-05-26T02:04:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3bf8ac27ad06d0c2060f2939fe3ec1562704e4798925ae58609a6f75dc08939b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T15:10:33Z","title_canon_sha256":"49b11cf289c8db185b4391fd62e98fe343dc5b483129a9d95e823b1907442509"},"schema_version":"1.0","source":{"id":"2605.25124","kind":"arxiv","version":1}},"canonical_sha256":"3617b14483ca7859f08f55c9c251c1de83c7f954ba3f12ce638f84e012af408e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3617b14483ca7859f08f55c9c251c1de83c7f954ba3f12ce638f84e012af408e","first_computed_at":"2026-05-26T02:04:19.161149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:19.161149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+I96N7v6o4SejXvb+hsyosEhMbHitR0/TqGOeBrs08cHSqWvhEYSEBjtv8Ge5kbFoamCcHSvj5nPngIEMdgBw==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:19.161950Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6590154761bad94edb18e69ff1af3985ea95a4860872c0a930add6af8a8860e6","sha256:8296eefcfef231413c30d1da114caff3c5ec022bb6847307c0bc33456d34d5e5"],"state_sha256":"5e174e7d3539d3732b50d6c19b06f8c097a83dbfc5f37b0ead3eb9957b4b938d"}