{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ODIUMJOXCSC4CNFR4LORODC3EL","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":"0a4c6c818626840bef2af97a09f1ca1cafb4c2cd0535f9839e482f2f8d3c7a26","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-09-29T04:03:08Z","title_canon_sha256":"57ff7de1fbdb9e0bffafaa2c96fcedaf8be52a8cc4a5ec05249c5af49e748c1e"},"schema_version":"1.0","source":{"id":"1810.00144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00144","created_at":"2026-05-18T00:03:27Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00144v2","created_at":"2026-05-18T00:03:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00144","created_at":"2026-05-18T00:03:27Z"},{"alias_kind":"pith_short_12","alias_value":"ODIUMJOXCSC4","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"ODIUMJOXCSC4CNFR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"ODIUMJOX","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:2e632cfbce6446206377a186c5f8139b0740a8f69e8678cca6c50cbf5fe09ee6","target":"graph","created_at":"2026-05-18T00:03:27Z","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":"One popular hypothesis of neural network generalization is that the flat local minima of loss surface in parameter space leads to good generalization. However, we demonstrate that loss surface in parameter space has no obvious relationship with generalization, especially under adversarial settings. Through visualizing decision surfaces in both parameter space and input space, we instead show that the geometry property of decision surface in input space correlates well with the adversarial robustness. We then propose an adversarial robustness indicator, which can evaluate a neural network's int","authors_text":"Chenchen Liu, Fuxun Yu, Liang Zhao, Xiang Chen, Yanzhi Wang","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-09-29T04:03:08Z","title":"Interpreting Adversarial Robustness: A View from Decision Surface in Input Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00144","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:c2d476df2237d03d5c6f406bd0896274cfbf6b38d7ea5295b6bcd337957fac67","target":"record","created_at":"2026-05-18T00:03:27Z","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":"0a4c6c818626840bef2af97a09f1ca1cafb4c2cd0535f9839e482f2f8d3c7a26","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-09-29T04:03:08Z","title_canon_sha256":"57ff7de1fbdb9e0bffafaa2c96fcedaf8be52a8cc4a5ec05249c5af49e748c1e"},"schema_version":"1.0","source":{"id":"1810.00144","kind":"arxiv","version":2}},"canonical_sha256":"70d14625d71485c134b1e2dd170c5b22da1e06c6d44872c17c17c08518dabc77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70d14625d71485c134b1e2dd170c5b22da1e06c6d44872c17c17c08518dabc77","first_computed_at":"2026-05-18T00:03:27.349955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:27.349955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xemFoE53swu/vNDOhSspN6QmC9gkOaZpGZyG4wlfz0HZUli2ELqpzy0Ha5nVwPnNYwlslzrkV0L4IJUva4zkCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:27.350496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2d476df2237d03d5c6f406bd0896274cfbf6b38d7ea5295b6bcd337957fac67","sha256:2e632cfbce6446206377a186c5f8139b0740a8f69e8678cca6c50cbf5fe09ee6"],"state_sha256":"b132af604be67a4b172df48978ed8c126046a3985b585acee081453736778d5d"}