{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LHNMJUYORF67U2VOBBGUXJDFZG","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":"b167d18db862188cefd61a69cea78563ea6cdc56183731175a3146900003ea49","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-09T15:16:55Z","title_canon_sha256":"927431903c0ff5670fd076d0b1cb699045a90a272fb6823e8ed95323b9e412ac"},"schema_version":"1.0","source":{"id":"1811.03963","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03963","created_at":"2026-05-18T00:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03963v1","created_at":"2026-05-18T00:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03963","created_at":"2026-05-18T00:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"LHNMJUYORF67","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LHNMJUYORF67U2VO","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LHNMJUYO","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:bed3b70a72ec2fcf78753293980df4b7e92244ed30860aa50bfcac746d5d1a74","target":"graph","created_at":"2026-05-18T00:01:11Z","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":"Sum-product networks (SPNs) represent an emerging class of neural networks with clear probabilistic semantics and superior inference speed over graphical models. This work reveals a strikingly intimate connection between SPNs and tensor networks, thus leading to a highly efficient representation that we call tensor SPNs (tSPNs). For the first time, through mapping an SPN onto a tSPN and employing novel optimization techniques, we demonstrate remarkable parameter compression with negligible loss in accuracy.","authors_text":"Ching-Yun Ko, Cong Chen, Kim Batselier, Ngai Wong, Yuke Zhang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-09T15:16:55Z","title":"Deep Compression of Sum-Product Networks on Tensor Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03963","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:d1331e9aa4d69c09eaf236b04bb73e6e348ac907abe9032cbe1c7f02f46d801e","target":"record","created_at":"2026-05-18T00:01:11Z","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":"b167d18db862188cefd61a69cea78563ea6cdc56183731175a3146900003ea49","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-09T15:16:55Z","title_canon_sha256":"927431903c0ff5670fd076d0b1cb699045a90a272fb6823e8ed95323b9e412ac"},"schema_version":"1.0","source":{"id":"1811.03963","kind":"arxiv","version":1}},"canonical_sha256":"59dac4d30e897dfa6aae084d4ba465c9952b1f6360c81d2cc8a9c67b923331db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59dac4d30e897dfa6aae084d4ba465c9952b1f6360c81d2cc8a9c67b923331db","first_computed_at":"2026-05-18T00:01:11.413105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:11.413105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Qw+Y7PdliU4AxRckrl5sbq54zPCaOq2My4LQWg8A0cbi2G+WhSVDdaF7k9s642/2xL5Li4Cd7v5RgAIitS+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:11.413687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03963","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1331e9aa4d69c09eaf236b04bb73e6e348ac907abe9032cbe1c7f02f46d801e","sha256:bed3b70a72ec2fcf78753293980df4b7e92244ed30860aa50bfcac746d5d1a74"],"state_sha256":"e02e9549ca257369dd83610b7f775898cc0713f83a2d1a3e9d8e998e95565a02"}