{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:DHKVLLH3KNSPCN5EVJE7KWYPDL","short_pith_number":"pith:DHKVLLH3","schema_version":"1.0","canonical_sha256":"19d555acfb5364f137a4aa49f55b0f1af4cb68616f237007ecad57bf614bd86d","source":{"kind":"arxiv","id":"1903.07214","version":1},"attestation_state":"computed","paper":{"title":"A Control Lyapunov Perspective on Episodic Learning via Projection to State Stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.SY"],"primary_cat":"eess.SY","authors_text":"Aaron D. Ames, Andrew J. Taylor, Hoang M. Le, Meera Krishnamoorthy, Victor D. Dorobantu, Yisong Yue","submitted_at":"2019-03-18T00:50:57Z","abstract_excerpt":"The goal of this paper is to understand the impact of learning on control synthesis from a Lyapunov function perspective. In particular, rather than consider uncertainties in the full system dynamics, we employ Control Lyapunov Functions (CLFs) as low-dimensional projections. To understand and characterize the uncertainty that these projected dynamics introduce in the system, we introduce a new notion: Projection to State Stability (PSS). PSS can be viewed as a variant of Input to State Stability defined on projected dynamics, and enables characterizing robustness of a CLF with respect to the "},"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":"1903.07214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-03-18T00:50:57Z","cross_cats_sorted":["cs.LG","cs.SY"],"title_canon_sha256":"50f986ed39d4ddd3781277aa61c9d56a36502ca01000396b3b69138978a901ba","abstract_canon_sha256":"92e519be967c3be9eaaadfbafa6d6a907d48cf9fe64aab6127c624f18a376450"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:14:14.648823Z","signature_b64":"pJYYHsLp6lf8wtoAMngSMhlv1D3Au9R1ZeznUh5o1vo27P/Lddn5u4g3c7raHZuPYPOAej0fe7SCG7afHIw2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19d555acfb5364f137a4aa49f55b0f1af4cb68616f237007ecad57bf614bd86d","last_reissued_at":"2026-06-04T20:14:14.648280Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:14:14.648280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Control Lyapunov Perspective on Episodic Learning via Projection to State Stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.SY"],"primary_cat":"eess.SY","authors_text":"Aaron D. Ames, Andrew J. Taylor, Hoang M. Le, Meera Krishnamoorthy, Victor D. Dorobantu, Yisong Yue","submitted_at":"2019-03-18T00:50:57Z","abstract_excerpt":"The goal of this paper is to understand the impact of learning on control synthesis from a Lyapunov function perspective. In particular, rather than consider uncertainties in the full system dynamics, we employ Control Lyapunov Functions (CLFs) as low-dimensional projections. To understand and characterize the uncertainty that these projected dynamics introduce in the system, we introduce a new notion: Projection to State Stability (PSS). PSS can be viewed as a variant of Input to State Stability defined on projected dynamics, and enables characterizing robustness of a CLF with respect to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07214","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.07214/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1903.07214","created_at":"2026-06-04T20:14:14.648389+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.07214v1","created_at":"2026-06-04T20:14:14.648389+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07214","created_at":"2026-06-04T20:14:14.648389+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHKVLLH3KNSP","created_at":"2026-06-04T20:14:14.648389+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHKVLLH3KNSPCN5E","created_at":"2026-06-04T20:14:14.648389+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHKVLLH3","created_at":"2026-06-04T20:14:14.648389+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/DHKVLLH3KNSPCN5EVJE7KWYPDL","json":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL.json","graph_json":"https://pith.science/api/pith-number/DHKVLLH3KNSPCN5EVJE7KWYPDL/graph.json","events_json":"https://pith.science/api/pith-number/DHKVLLH3KNSPCN5EVJE7KWYPDL/events.json","paper":"https://pith.science/paper/DHKVLLH3"},"agent_actions":{"view_html":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL","download_json":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL.json","view_paper":"https://pith.science/paper/DHKVLLH3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.07214&json=true","fetch_graph":"https://pith.science/api/pith-number/DHKVLLH3KNSPCN5EVJE7KWYPDL/graph.json","fetch_events":"https://pith.science/api/pith-number/DHKVLLH3KNSPCN5EVJE7KWYPDL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL/action/storage_attestation","attest_author":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL/action/author_attestation","sign_citation":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL/action/citation_signature","submit_replication":"https://pith.science/pith/DHKVLLH3KNSPCN5EVJE7KWYPDL/action/replication_record"}},"created_at":"2026-06-04T20:14:14.648389+00:00","updated_at":"2026-06-04T20:14:14.648389+00:00"}