{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MCDUHFIREODTQNV26JC45TK6ET","short_pith_number":"pith:MCDUHFIR","canonical_record":{"source":{"id":"1008.4988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-08-30T02:44:19Z","cross_cats_sorted":[],"title_canon_sha256":"10d5c89042da548b1bb488b0f363c31742904f26da3bf04a98575c858b07a13f","abstract_canon_sha256":"f2a95c9973d53006257192857b82a769732f062d75c2a249ba017885f55e0b2c"},"schema_version":"1.0"},"canonical_sha256":"608743951123873836baf245cecd5e24db72559c5d8df4c98caa001f7491b13c","source":{"kind":"arxiv","id":"1008.4988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4988","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4988v1","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4988","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"MCDUHFIREODT","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MCDUHFIREODTQNV2","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MCDUHFIR","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MCDUHFIREODTQNV26JC45TK6ET","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-08-30T02:44:19Z","cross_cats_sorted":[],"title_canon_sha256":"10d5c89042da548b1bb488b0f363c31742904f26da3bf04a98575c858b07a13f","abstract_canon_sha256":"f2a95c9973d53006257192857b82a769732f062d75c2a249ba017885f55e0b2c"},"schema_version":"1.0"},"canonical_sha256":"608743951123873836baf245cecd5e24db72559c5d8df4c98caa001f7491b13c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:43.282307Z","signature_b64":"04MAUPDaaOxoRayOftk77kLFEXDuHYbKHRnGDY2ro1+Ja6OTuotuLeBwjGfxcEOOrgKBm5rwEUqRTCIHjS3HCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"608743951123873836baf245cecd5e24db72559c5d8df4c98caa001f7491b13c","last_reissued_at":"2026-05-18T04:41:43.281852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:43.281852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4988","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":"2026-05-18T04:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Cd53Dfe8MzZkuPsxadENaGosZ/wbDcivsgkWOpzKlr/QA9Qfw93vv0BEzCE0blDLKoXKhzNJ0L4S8iaLvSBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:02:14.927352Z"},"content_sha256":"9635697670cbbfd0a56d27176616c2bbd8212d723ceaea67b8dab4ec2984ce37","schema_version":"1.0","event_id":"sha256:9635697670cbbfd0a56d27176616c2bbd8212d723ceaea67b8dab4ec2984ce37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MCDUHFIREODTQNV26JC45TK6ET","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sparse Group Restricted Boltzmann Machines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Cahngyong Niu, Heng Luo, Ruimin Shen","submitted_at":"2010-08-30T02:44:19Z","abstract_excerpt":"Since learning is typically very slow in Boltzmann machines, there is a need to restrict connections within hidden layers. However, the resulting states of hidden units exhibit statistical dependencies. Based on this observation, we propose using $l_1/l_2$ regularization upon the activation possibilities of hidden units in restricted Boltzmann machines to capture the loacal dependencies among hidden units. This regularization not only encourages hidden units of many groups to be inactive given observed data but also makes hidden units within a group compete with each other for modeling observe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4988","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":"2026-05-18T04:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FA2p0uCvjpFwJoyvkGcdZolVcn9ZExQWVacuA0Jz9WGH29VdtEupY4pRU/vLyRLd5pDEYIGaNpSNDBPCgQJfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:02:14.927696Z"},"content_sha256":"a455afc854c517fa052440d85b048c79f0c6088fe8b2fcf4add0c5e6821fa332","schema_version":"1.0","event_id":"sha256:a455afc854c517fa052440d85b048c79f0c6088fe8b2fcf4add0c5e6821fa332"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MCDUHFIREODTQNV26JC45TK6ET/bundle.json","state_url":"https://pith.science/pith/MCDUHFIREODTQNV26JC45TK6ET/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MCDUHFIREODTQNV26JC45TK6ET/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":"2026-06-02T19:02:14Z","links":{"resolver":"https://pith.science/pith/MCDUHFIREODTQNV26JC45TK6ET","bundle":"https://pith.science/pith/MCDUHFIREODTQNV26JC45TK6ET/bundle.json","state":"https://pith.science/pith/MCDUHFIREODTQNV26JC45TK6ET/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MCDUHFIREODTQNV26JC45TK6ET/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MCDUHFIREODTQNV26JC45TK6ET","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":"f2a95c9973d53006257192857b82a769732f062d75c2a249ba017885f55e0b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-08-30T02:44:19Z","title_canon_sha256":"10d5c89042da548b1bb488b0f363c31742904f26da3bf04a98575c858b07a13f"},"schema_version":"1.0","source":{"id":"1008.4988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4988","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4988v1","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4988","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"MCDUHFIREODT","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MCDUHFIREODTQNV2","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MCDUHFIR","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:a455afc854c517fa052440d85b048c79f0c6088fe8b2fcf4add0c5e6821fa332","target":"graph","created_at":"2026-05-18T04:41:43Z","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":"Since learning is typically very slow in Boltzmann machines, there is a need to restrict connections within hidden layers. However, the resulting states of hidden units exhibit statistical dependencies. Based on this observation, we propose using $l_1/l_2$ regularization upon the activation possibilities of hidden units in restricted Boltzmann machines to capture the loacal dependencies among hidden units. This regularization not only encourages hidden units of many groups to be inactive given observed data but also makes hidden units within a group compete with each other for modeling observe","authors_text":"Cahngyong Niu, Heng Luo, Ruimin Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-08-30T02:44:19Z","title":"Sparse Group Restricted Boltzmann Machines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4988","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":"sha256:9635697670cbbfd0a56d27176616c2bbd8212d723ceaea67b8dab4ec2984ce37","target":"record","created_at":"2026-05-18T04:41:43Z","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":"f2a95c9973d53006257192857b82a769732f062d75c2a249ba017885f55e0b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2010-08-30T02:44:19Z","title_canon_sha256":"10d5c89042da548b1bb488b0f363c31742904f26da3bf04a98575c858b07a13f"},"schema_version":"1.0","source":{"id":"1008.4988","kind":"arxiv","version":1}},"canonical_sha256":"608743951123873836baf245cecd5e24db72559c5d8df4c98caa001f7491b13c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"608743951123873836baf245cecd5e24db72559c5d8df4c98caa001f7491b13c","first_computed_at":"2026-05-18T04:41:43.281852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:43.281852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"04MAUPDaaOxoRayOftk77kLFEXDuHYbKHRnGDY2ro1+Ja6OTuotuLeBwjGfxcEOOrgKBm5rwEUqRTCIHjS3HCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:43.282307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9635697670cbbfd0a56d27176616c2bbd8212d723ceaea67b8dab4ec2984ce37","sha256:a455afc854c517fa052440d85b048c79f0c6088fe8b2fcf4add0c5e6821fa332"],"state_sha256":"68db6a0b1b12edca4bf0993067b8da7273d2a28cc7810a7dd079dc066bd1d3dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBMRLRVwDfbxaEFZ2E9+Ss8UIH4pLbEyrUxGznpufWXZW9LCRYS/BouGxAhYPMikRvFbO8MGpSkGOMfqYDfkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:02:14.929718Z","bundle_sha256":"1a59ac6c1adaf724627a27367517807c6f765da06cee37a4e01fbcf98612fd1f"}}