{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RWQG2IVUEVFXDRZO56M5UZTWN2","short_pith_number":"pith:RWQG2IVU","canonical_record":{"source":{"id":"1508.06092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-25T09:51:35Z","cross_cats_sorted":["cs.NE"],"title_canon_sha256":"d08b1ff0e4a339a5e3d3d9ed0f8f15f8839640fb296eed7593aada9f654d6516","abstract_canon_sha256":"249ff94790a75ef07ce337bc8d805c4931312126ee9e78ba512677362730df81"},"schema_version":"1.0"},"canonical_sha256":"8da06d22b4254b71c72eef99da66766e9692895a65fd7d4b7c29093e63d7a9c8","source":{"kind":"arxiv","id":"1508.06092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06092","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06092v1","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06092","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"RWQG2IVUEVFX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RWQG2IVUEVFXDRZO","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RWQG2IVU","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RWQG2IVUEVFXDRZO56M5UZTWN2","target":"record","payload":{"canonical_record":{"source":{"id":"1508.06092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-25T09:51:35Z","cross_cats_sorted":["cs.NE"],"title_canon_sha256":"d08b1ff0e4a339a5e3d3d9ed0f8f15f8839640fb296eed7593aada9f654d6516","abstract_canon_sha256":"249ff94790a75ef07ce337bc8d805c4931312126ee9e78ba512677362730df81"},"schema_version":"1.0"},"canonical_sha256":"8da06d22b4254b71c72eef99da66766e9692895a65fd7d4b7c29093e63d7a9c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:46.884586Z","signature_b64":"gYM6MRGcrDuFUG4igdjZ+FsEQ7AVkDuRWZT95XISW9tM9eBVZrV6hP9rLFge3lp2GImKHjkA1ksKDnI43r2lCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8da06d22b4254b71c72eef99da66766e9692895a65fd7d4b7c29093e63d7a9c8","last_reissued_at":"2026-05-18T01:34:46.883979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:46.883979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.06092","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37D5wVXhlENxS0f+tf0EAr89HMlVc6D2oNeyaSYU9cFG3DgMV0TikD3n8e36vqNb/NfnRyVMDToCOYm+lXhaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:55:56.120421Z"},"content_sha256":"59aa94c87cae69f706470a4c9b5026881299dc73033670e1bc004a5cd2a0dbce","schema_version":"1.0","event_id":"sha256:59aa94c87cae69f706470a4c9b5026881299dc73033670e1bc004a5cd2a0dbce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RWQG2IVUEVFXDRZO56M5UZTWN2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An analysis of numerical issues in neural training by pseudoinversion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE"],"primary_cat":"cs.LG","authors_text":"L. Rubini, M. Gai, P. Gallinari, R. Cancelliere, R. Deluca","submitted_at":"2015-08-25T09:51:35Z","abstract_excerpt":"Some novel strategies have recently been proposed for single hidden layer neural network training that set randomly the weights from input to hidden layer, while weights from hidden to output layer are analytically determined by pseudoinversion. These techniques are gaining popularity in spite of their known numerical issues when singular and/or almost singular matrices are involved. In this paper we discuss a critical use of Singular Value Analysis for identification of these drawbacks and we propose an original use of regularisation to determine the output weights, based on the concept of cr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06092","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8kE7ufnG8mD34iurhO9qX7HGc4JSqkF82J2KKnD5EWGIPXPkYttxeYF/CxfbDRTzGtvTPxkuabfTdIuDDvZNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:55:56.121047Z"},"content_sha256":"608db9a44097b6fb71549f7b2d73fc1f7a308dd89f99fcd029f7cda94e01bf52","schema_version":"1.0","event_id":"sha256:608db9a44097b6fb71549f7b2d73fc1f7a308dd89f99fcd029f7cda94e01bf52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/bundle.json","state_url":"https://pith.science/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T14:55:56Z","links":{"resolver":"https://pith.science/pith/RWQG2IVUEVFXDRZO56M5UZTWN2","bundle":"https://pith.science/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/bundle.json","state":"https://pith.science/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RWQG2IVUEVFXDRZO56M5UZTWN2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RWQG2IVUEVFXDRZO56M5UZTWN2","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":"249ff94790a75ef07ce337bc8d805c4931312126ee9e78ba512677362730df81","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-25T09:51:35Z","title_canon_sha256":"d08b1ff0e4a339a5e3d3d9ed0f8f15f8839640fb296eed7593aada9f654d6516"},"schema_version":"1.0","source":{"id":"1508.06092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06092","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06092v1","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06092","created_at":"2026-05-18T01:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"RWQG2IVUEVFX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RWQG2IVUEVFXDRZO","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RWQG2IVU","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:608db9a44097b6fb71549f7b2d73fc1f7a308dd89f99fcd029f7cda94e01bf52","target":"graph","created_at":"2026-05-18T01:34:46Z","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":"Some novel strategies have recently been proposed for single hidden layer neural network training that set randomly the weights from input to hidden layer, while weights from hidden to output layer are analytically determined by pseudoinversion. These techniques are gaining popularity in spite of their known numerical issues when singular and/or almost singular matrices are involved. In this paper we discuss a critical use of Singular Value Analysis for identification of these drawbacks and we propose an original use of regularisation to determine the output weights, based on the concept of cr","authors_text":"L. Rubini, M. Gai, P. Gallinari, R. Cancelliere, R. Deluca","cross_cats":["cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-25T09:51:35Z","title":"An analysis of numerical issues in neural training by pseudoinversion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06092","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":"sha256:59aa94c87cae69f706470a4c9b5026881299dc73033670e1bc004a5cd2a0dbce","target":"record","created_at":"2026-05-18T01:34:46Z","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":"249ff94790a75ef07ce337bc8d805c4931312126ee9e78ba512677362730df81","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-25T09:51:35Z","title_canon_sha256":"d08b1ff0e4a339a5e3d3d9ed0f8f15f8839640fb296eed7593aada9f654d6516"},"schema_version":"1.0","source":{"id":"1508.06092","kind":"arxiv","version":1}},"canonical_sha256":"8da06d22b4254b71c72eef99da66766e9692895a65fd7d4b7c29093e63d7a9c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8da06d22b4254b71c72eef99da66766e9692895a65fd7d4b7c29093e63d7a9c8","first_computed_at":"2026-05-18T01:34:46.883979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:46.883979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gYM6MRGcrDuFUG4igdjZ+FsEQ7AVkDuRWZT95XISW9tM9eBVZrV6hP9rLFge3lp2GImKHjkA1ksKDnI43r2lCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:46.884586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.06092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59aa94c87cae69f706470a4c9b5026881299dc73033670e1bc004a5cd2a0dbce","sha256:608db9a44097b6fb71549f7b2d73fc1f7a308dd89f99fcd029f7cda94e01bf52"],"state_sha256":"d82f39cc6b5e2bc9ba804e42570d8f7c3a01ef8111485d6fcdc9dd2b1c87a276"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dllUzvAliwOflXsZHOrvlDSwySh12KX2ADLVIyuqrHEfy+t+1N6SJuK0dADU97TwobsnIcdy0oZ2lY0Vc+SBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:55:56.124350Z","bundle_sha256":"9654a5428c735513402eba220d71834e626cf2ef383013f646b29eb997be5808"}}