{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HRJ5QV7GPRSYQYMHKA6GNNPMSJ","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":"1670f3aede311d8f6009d77da895372845643900cd407b3aabe4814590a9bd8a","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T06:51:28Z","title_canon_sha256":"ee63d193e7e3cd72eebf6222f84f6c329feeb2504fa0927f4c091d0c45c891db"},"schema_version":"1.0","source":{"id":"1806.06514","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06514","created_at":"2026-05-18T00:11:17Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06514v2","created_at":"2026-05-18T00:11:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06514","created_at":"2026-05-18T00:11:17Z"},{"alias_kind":"pith_short_12","alias_value":"HRJ5QV7GPRSY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HRJ5QV7GPRSYQYMH","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HRJ5QV7G","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:5cff2279f095a48f8ce5bc46dc4fcd397ab4e461e10e0b192fc2d2391fbb9ef9","target":"graph","created_at":"2026-05-18T00:11:17Z","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":"A large number of objectives have been proposed to train latent variable generative models. We show that many of them are Lagrangian dual functions of the same primal optimization problem. The primal problem optimizes the mutual information between latent and visible variables, subject to the constraints of accurately modeling the data distribution and performing correct amortized inference. By choosing to maximize or minimize mutual information, and choosing different Lagrange multipliers, we obtain different objectives including InfoGAN, ALI/BiGAN, ALICE, CycleGAN, beta-VAE, adversarial auto","authors_text":"Jiaming Song, Shengjia Zhao, Stefano Ermon","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T06:51:28Z","title":"The Information Autoencoding Family: A Lagrangian Perspective on Latent Variable Generative Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06514","kind":"arxiv","version":2},"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":"sha256:9b4f742095f5c12a919722af06988b6c99c1a9b01e2a639ee78e19491dae1987","target":"record","created_at":"2026-05-18T00:11:17Z","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":"1670f3aede311d8f6009d77da895372845643900cd407b3aabe4814590a9bd8a","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-18T06:51:28Z","title_canon_sha256":"ee63d193e7e3cd72eebf6222f84f6c329feeb2504fa0927f4c091d0c45c891db"},"schema_version":"1.0","source":{"id":"1806.06514","kind":"arxiv","version":2}},"canonical_sha256":"3c53d857e67c65886187503c66b5ec9248f27ffe0c7b709509e3f8fbe52b3144","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c53d857e67c65886187503c66b5ec9248f27ffe0c7b709509e3f8fbe52b3144","first_computed_at":"2026-05-18T00:11:17.098033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:17.098033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sL0RP+YNInIBhq4O1UXim0JXPHFPd5U6mCssiXe3jyzz52+CBhPQqgdCvYCSpIZ/nkEoCnvrobIFTL07JeGOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:17.098803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06514","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b4f742095f5c12a919722af06988b6c99c1a9b01e2a639ee78e19491dae1987","sha256:5cff2279f095a48f8ce5bc46dc4fcd397ab4e461e10e0b192fc2d2391fbb9ef9"],"state_sha256":"18d084a23a301e4ad880c173cf46736a856fd7308f7b654baaff25e4b69290e8"}