{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SUJROI6QJ666M5YIVAMKNKKJHX","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":"cf5bcdb974fe4b1e62c7b00bd4aa52acb73e24110697106b15f8a002cf7fbd1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-02-05T09:58:08Z","title_canon_sha256":"2860d39b24ebe02a2be8566ad0d351c9ad1dc5522a93efc72dcea715d6fb9101"},"schema_version":"1.0","source":{"id":"1902.01618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01618","created_at":"2026-05-17T23:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01618v1","created_at":"2026-05-17T23:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01618","created_at":"2026-05-17T23:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"SUJROI6QJ666","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SUJROI6QJ666M5YI","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SUJROI6Q","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:3fe4ee25923dc2523c4e657354a89b2b837d2485224e40da9a0fdeac3734034f","target":"graph","created_at":"2026-05-17T23:54:47Z","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"},"paper":{"abstract_excerpt":"The goal of this paper is to investigate the theoretical properties, the training algorithm, and the predictive control applications of Echo State Networks (ESNs), a particular kind of Recurrent Neural Networks. First, a condition guaranteeing incremetal global asymptotic stability is devised. Then, a modified training algorithm allowing for dimensionality reduction of ESNs is presented. Eventually, a model predictive controller is designed to solve the tracking problem, relying on ESNs as the model of the system. Numerical results concerning the predictive control of a nonlinear process for p","authors_text":"Enrico Terzi, Luca Bugliari Armenio, Marcello Farina, Riccardo Scattolini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-02-05T09:58:08Z","title":"Echo State Networks: analysis, training and predictive control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01618","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:d58af0a5253201ee6ab76720888e09f63d7e7cf2947861852ee65445b88f6cba","target":"record","created_at":"2026-05-17T23:54:47Z","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":"cf5bcdb974fe4b1e62c7b00bd4aa52acb73e24110697106b15f8a002cf7fbd1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-02-05T09:58:08Z","title_canon_sha256":"2860d39b24ebe02a2be8566ad0d351c9ad1dc5522a93efc72dcea715d6fb9101"},"schema_version":"1.0","source":{"id":"1902.01618","kind":"arxiv","version":1}},"canonical_sha256":"95131723d04fbde67708a818a6a9493df28b97ab71c52fe481aa441c4d1b822a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95131723d04fbde67708a818a6a9493df28b97ab71c52fe481aa441c4d1b822a","first_computed_at":"2026-05-17T23:54:47.133281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:47.133281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"13J5yPAICbCehgx/8tteT0UJP8hV78Eo5RpDaqerf3UJUhikcU0zFDvgwakR0qG1q62O79ml+WhW+H4lNLE4DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:47.133864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.01618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d58af0a5253201ee6ab76720888e09f63d7e7cf2947861852ee65445b88f6cba","sha256:3fe4ee25923dc2523c4e657354a89b2b837d2485224e40da9a0fdeac3734034f"],"state_sha256":"b22cc037595403b7d5958231fed1167bb56937431f2d0d783848f91fff0e3be2"}