{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MQ5DYJBFMTGQG33L4HKGU4PAXX","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":"0ce4d73608d135704b3369ac4e23aeea1ec197b2198fe150f2829c9299407fee","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-05-27T19:10:45Z","title_canon_sha256":"8d3fe788f2c939a954e595794004507f108b9873bc161cc63e588917b2ef66d0"},"schema_version":"1.0","source":{"id":"2605.29013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29013","created_at":"2026-05-29T01:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29013v1","created_at":"2026-05-29T01:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29013","created_at":"2026-05-29T01:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"MQ5DYJBFMTGQ","created_at":"2026-05-29T01:04:43Z"},{"alias_kind":"pith_short_16","alias_value":"MQ5DYJBFMTGQG33L","created_at":"2026-05-29T01:04:43Z"},{"alias_kind":"pith_short_8","alias_value":"MQ5DYJBF","created_at":"2026-05-29T01:04:43Z"}],"graph_snapshots":[{"event_id":"sha256:aa565091850caff55b624313ce4b7923d3aebc4dd27517f2765cbcc0af63a153","target":"graph","created_at":"2026-05-29T01:04:43Z","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/2605.29013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a moving horizon estimation (MHE)-based training method for feedforward neural networks (FNNs) with rectified linear unit (ReLU) activation functions to determine their ideal weights from a control-theoretic perspective. This allows for a rigorous theoretical analysis of the trained network. First, we reformulate the FNN as a dynamical system with the weights as states. Then, we investigate the local observability of such a system. For two-layer FNNs with fixed output weights, we derive a sufficient condition under which the observability rank condition holds, ensurin","authors_text":"Matthias A. M\\\"uller, Victor G. Lopez, Yi Yang","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-05-27T19:10:45Z","title":"Local Observability and Moving Horizon Estimation-based Training of Feedforward Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29013","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:ac40c717f423fe2b24b4eb8bc03885f14ce9add75f986e7fc00762dc5fbbec6e","target":"record","created_at":"2026-05-29T01:04:43Z","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":"0ce4d73608d135704b3369ac4e23aeea1ec197b2198fe150f2829c9299407fee","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-05-27T19:10:45Z","title_canon_sha256":"8d3fe788f2c939a954e595794004507f108b9873bc161cc63e588917b2ef66d0"},"schema_version":"1.0","source":{"id":"2605.29013","kind":"arxiv","version":1}},"canonical_sha256":"643a3c242564cd036f6be1d46a71e0bdd37b0d6b719c805a3c11b25296cc79e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"643a3c242564cd036f6be1d46a71e0bdd37b0d6b719c805a3c11b25296cc79e7","first_computed_at":"2026-05-29T01:04:43.441526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:04:43.441526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPyOG3b8dhF0D4xxsx8jr1cfKo2UZLD3EzOmYP2IxS4HLhiRScRUb2GB/0zchHeckQsx8v102y73z8ugCy6jDg==","signature_status":"signed_v1","signed_at":"2026-05-29T01:04:43.441929Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac40c717f423fe2b24b4eb8bc03885f14ce9add75f986e7fc00762dc5fbbec6e","sha256:aa565091850caff55b624313ce4b7923d3aebc4dd27517f2765cbcc0af63a153"],"state_sha256":"6513bf6e43cd4eda4f4319f6f7d94015e6031082895223cd6a51786cc667f768"}