{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:45IE4TJYZORMSJMQLLCWEEUHT7","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":"153cfd7a4e3fe24aafc5faad3f5bf783dcdbab6fa78fb6b88de72d631db0a7a9","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-10-27T09:08:29Z","title_canon_sha256":"9208f782be1d7129f8b0e21912bdf70f09230258a92f4967e0f85dd971b9331a"},"schema_version":"1.0","source":{"id":"1710.10035","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10035","created_at":"2026-05-18T00:01:38Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10035v2","created_at":"2026-05-18T00:01:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10035","created_at":"2026-05-18T00:01:38Z"},{"alias_kind":"pith_short_12","alias_value":"45IE4TJYZORM","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"45IE4TJYZORMSJMQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"45IE4TJY","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:a46ce87c6dfb01451fcf797f85d1dfb316c6dd7651585dcd183cb72bb0aca338","target":"graph","created_at":"2026-05-18T00:01:38Z","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":"We propose a generalization of convolutional neural networks (CNNs) to irregular domains, through the use of a translation operator on a graph structure. In regular settings such as images, convolutional layers are designed by translating a convolutional kernel over all pixels, thus enforcing translation equivariance. In the case of general graphs however, translation is not a well-defined operation, which makes shifting a convolutional kernel not straightforward. In this article, we introduce a methodology to allow the design of convolutional layers that are adapted to signals evolving on irr","authors_text":"Bastien Pasdeloup, Dominique Pastor, Jean-Charles Vialatte, Pascal Frossard, Vincent Gripon","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-10-27T09:08:29Z","title":"Convolutional neural networks on irregular domains based on approximate vertex-domain translations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10035","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":"sha256:0cf4e350f5434fafe26952fba918d92583a94ea7abe1dfd1280372f272c68cfb","target":"record","created_at":"2026-05-18T00:01:38Z","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":"153cfd7a4e3fe24aafc5faad3f5bf783dcdbab6fa78fb6b88de72d631db0a7a9","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-10-27T09:08:29Z","title_canon_sha256":"9208f782be1d7129f8b0e21912bdf70f09230258a92f4967e0f85dd971b9331a"},"schema_version":"1.0","source":{"id":"1710.10035","kind":"arxiv","version":2}},"canonical_sha256":"e7504e4d38cba2c925905ac56212879fc1b2fe56114c97b77a797c862cf75a3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7504e4d38cba2c925905ac56212879fc1b2fe56114c97b77a797c862cf75a3d","first_computed_at":"2026-05-18T00:01:38.904712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:38.904712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"caKoS5eEuOcybFu6iQgUJ9wHkdP49u5EIn/4lNRJGpKO/+iw/ok6Aga1n5AtECb3G3vnRsmJeeXc4NKWgUM3CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:38.905211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10035","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cf4e350f5434fafe26952fba918d92583a94ea7abe1dfd1280372f272c68cfb","sha256:a46ce87c6dfb01451fcf797f85d1dfb316c6dd7651585dcd183cb72bb0aca338"],"state_sha256":"902e93d44b8e05070a876ff4a783447dfda52c584874befaf94863032bfd3274"}