{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DHAUCKQE66VKSJIYUHGZABSVTE","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":"ff4742445a2a45b36b8e98023f21849cc691d1b47aa2641c93185626d9fa8954","cross_cats_sorted":["cs.LG","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-11-21T03:09:07Z","title_canon_sha256":"4f0f012214192a809d4b3525108312f00045a368908e716bc69912ea7c15e9c9"},"schema_version":"1.0","source":{"id":"2111.10722","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10722","created_at":"2026-06-30T02:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10722v4","created_at":"2026-06-30T02:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10722","created_at":"2026-06-30T02:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"DHAUCKQE66VK","created_at":"2026-06-30T02:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"DHAUCKQE66VKSJIY","created_at":"2026-06-30T02:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"DHAUCKQE","created_at":"2026-06-30T02:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:9194cb1d69ccb16344576bdbd4e193da8ecc135d352b12ab55e51074e9a55f77","target":"graph","created_at":"2026-06-30T02:18:02Z","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/2111.10722/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel deterministic sampling method, EVI-MMD, to approximate a target distribution $\\rho^*$ by minimizing the kernel discrepancy, also known as the Maximum Mean Discrepancy (MMD). Leveraging the energetic variational inference framework (Wang et al., 2021), we transform the MMD minimization problem into solving a dynamic system of Ordinary Differential Equations (ODEs) for particles. The implicit Euler scheme is employed to solve the ODE system, leading to a proximal minimization problem at each iteration, which is efficiently addressed using optimization algorithms such as L-BFGS","authors_text":"Chun Liu, Lulu Kang, Yindong Chen, Yiwei Wang","cross_cats":["cs.LG","stat.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-11-21T03:09:07Z","title":"A Deterministic Sampling Method via Maximum Mean Discrepancy Flow with Adaptive Kernel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10722","kind":"arxiv","version":4},"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":"sha256:46d6c43c46fa40d6f1180553cd3a7dafdf9bdf5f880a77709d537d44d6725df3","target":"record","created_at":"2026-06-30T02:18:02Z","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":"ff4742445a2a45b36b8e98023f21849cc691d1b47aa2641c93185626d9fa8954","cross_cats_sorted":["cs.LG","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2021-11-21T03:09:07Z","title_canon_sha256":"4f0f012214192a809d4b3525108312f00045a368908e716bc69912ea7c15e9c9"},"schema_version":"1.0","source":{"id":"2111.10722","kind":"arxiv","version":4}},"canonical_sha256":"19c1412a04f7aaa92518a1cd900655991836a3e63380f558142e1cff3ca10e6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19c1412a04f7aaa92518a1cd900655991836a3e63380f558142e1cff3ca10e6c","first_computed_at":"2026-06-30T02:18:02.992032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:18:02.992032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YmkTmbhP22iP+/A24fI8smDL7egaXd7VGpkXGNgAZWiSxYg5rfJ1mmeJKu10IbzSVqGDHLYHtNZAKRO0S3kMDw==","signature_status":"signed_v1","signed_at":"2026-06-30T02:18:02.992821Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.10722","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46d6c43c46fa40d6f1180553cd3a7dafdf9bdf5f880a77709d537d44d6725df3","sha256:9194cb1d69ccb16344576bdbd4e193da8ecc135d352b12ab55e51074e9a55f77"],"state_sha256":"52286a1cbebb4266777bb5207fd3836eb70d18e6127c0c0792ae5681f3cc0694"}