{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EDTAFXRLBE6IVEQJOQQXXFDPKO","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":"58581a9ec7a3cb0621ac82bb9b6c99ab903dea0531b8722e7bf9f91b220f75cd","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-13T12:38:27Z","title_canon_sha256":"dde2ce3e809ba38fe423cbae832c4220939bf911aeceb486a5b38cd44c21f93f"},"schema_version":"1.0","source":{"id":"1604.03736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03736","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03736v1","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03736","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"EDTAFXRLBE6I","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EDTAFXRLBE6IVEQJ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EDTAFXRL","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:88e97b766a8966bf5ef2d6b8ed62ff6c3fb4b66c1a3379bccc032cfb5b1a573c","target":"graph","created_at":"2026-05-18T01:17:11Z","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":"Existing approaches to combine both additive and multiplicative neural units either use a fixed assignment of operations or require discrete optimization to determine what function a neuron should perform. However, this leads to an extensive increase in the computational complexity of the training procedure.\n  We present a novel, parameterizable transfer function based on the mathematical concept of non-integer functional iteration that allows the operation each neuron performs to be smoothly and, most importantly, differentiablely adjusted between addition and multiplication. This allows the ","authors_text":"Patrick van der Smagt, Sebastian Urban, Wiebke K\\\"opp","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-13T12:38:27Z","title":"A Differentiable Transition Between Additive and Multiplicative Neurons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03736","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:f7b6db9d789dff0b320b50e7230c8646b1a6ffad9131a6c0b601fd2ae7dc5bbe","target":"record","created_at":"2026-05-18T01:17:11Z","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":"58581a9ec7a3cb0621ac82bb9b6c99ab903dea0531b8722e7bf9f91b220f75cd","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2016-04-13T12:38:27Z","title_canon_sha256":"dde2ce3e809ba38fe423cbae832c4220939bf911aeceb486a5b38cd44c21f93f"},"schema_version":"1.0","source":{"id":"1604.03736","kind":"arxiv","version":1}},"canonical_sha256":"20e602de2b093c8a920974217b946f5384de21e30f750ce53cc60d0637fd8fd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20e602de2b093c8a920974217b946f5384de21e30f750ce53cc60d0637fd8fd4","first_computed_at":"2026-05-18T01:17:11.183686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:11.183686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPHCrUYUcGod1jRyfLLTCb4EVfLP9oeUR63ugTHMnpO6Le48mdQ/+v+HIlmT0R2VEP+TPzre2Wm9jHxxKCD1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:11.184381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b6db9d789dff0b320b50e7230c8646b1a6ffad9131a6c0b601fd2ae7dc5bbe","sha256:88e97b766a8966bf5ef2d6b8ed62ff6c3fb4b66c1a3379bccc032cfb5b1a573c"],"state_sha256":"c0b96445c41eced0e97a9ab3853f60640181631ede5a12780612f7ff497b9ed1"}