{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:DUKSUCWHCG3253XWU5HESBKAJD","short_pith_number":"pith:DUKSUCWH","canonical_record":{"source":{"id":"1901.02470","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-08T19:03:48Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"34f6a25223713737e1a23a23a4735cb86c98fba8c69b4ea90de3887cd1ab194d","abstract_canon_sha256":"b0a4f572e06134b9a1d46160d05da185ecad1db7b1b412733d3033e4527c34f9"},"schema_version":"1.0"},"canonical_sha256":"1d152a0ac711b7aeeef6a74e49054048ff36cbf58bc64eb9ae7e5d809d5c9866","source":{"kind":"arxiv","id":"1901.02470","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02470","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02470v2","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02470","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"DUKSUCWHCG32","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DUKSUCWHCG3253XW","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DUKSUCWH","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:DUKSUCWHCG3253XWU5HESBKAJD","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02470","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-08T19:03:48Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"34f6a25223713737e1a23a23a4735cb86c98fba8c69b4ea90de3887cd1ab194d","abstract_canon_sha256":"b0a4f572e06134b9a1d46160d05da185ecad1db7b1b412733d3033e4527c34f9"},"schema_version":"1.0"},"canonical_sha256":"1d152a0ac711b7aeeef6a74e49054048ff36cbf58bc64eb9ae7e5d809d5c9866","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:50.140554Z","signature_b64":"Q7c49uRddvMzs3vN5/9LvWCos9dPMrcmoxsqpp9Dsl31hq8dWgNNiJ8lJSBaG93Hxv0nCyBrxWcFbu8l3huADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d152a0ac711b7aeeef6a74e49054048ff36cbf58bc64eb9ae7e5d809d5c9866","last_reissued_at":"2026-05-17T23:43:50.139889Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:50.139889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02470","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wM7SE0tEJSlQAF3VQTNdW2oASzQpDfXb+2vXXQBl5YhL4FH69qKqY41wmL8q5ITVYCbMVwNuwxCC5zrMyqOTCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:34:31.128416Z"},"content_sha256":"5fa29ee0c47ad9164776656e52b4498dfd57533ed46ed895c6397ec5bbfc8565","schema_version":"1.0","event_id":"sha256:5fa29ee0c47ad9164776656e52b4498dfd57533ed46ed895c6397ec5bbfc8565"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:DUKSUCWHCG3253XWU5HESBKAJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bilinear Bandits with Low-rank Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Kwang-Sung Jun, Rebecca Willett, Robert Nowak, Stephen Wright","submitted_at":"2019-01-08T19:03:48Z","abstract_excerpt":"We introduce the bilinear bandit problem with low-rank structure in which an action takes the form of a pair of arms from two different entity types, and the reward is a bilinear function of the known feature vectors of the arms. The unknown in the problem is a $d_1$ by $d_2$ matrix $\\mathbf{\\Theta}^*$ that defines the reward, and has low rank $r \\ll \\min\\{d_1,d_2\\}$. Determination of $\\mathbf{\\Theta}^*$ with this low-rank structure poses a significant challenge in finding the right exploration-exploitation tradeoff. In this work, we propose a new two-stage algorithm called \"Explore-Subspace-T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02470","kind":"arxiv","version":2},"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":"2026-05-17T23:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rNB7n5L7B0cpgDsxDP4OzHyYhbZyWZ3A7govrO4/bGqF9jGQVBV8KyRC20yxjuWaGQptBjLJyUP7Ei/XToYhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:34:31.128776Z"},"content_sha256":"42f14fbb6c19995e3e1dea7702042e239f0e2604f2da04967c93486872634202","schema_version":"1.0","event_id":"sha256:42f14fbb6c19995e3e1dea7702042e239f0e2604f2da04967c93486872634202"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUKSUCWHCG3253XWU5HESBKAJD/bundle.json","state_url":"https://pith.science/pith/DUKSUCWHCG3253XWU5HESBKAJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUKSUCWHCG3253XWU5HESBKAJD/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":"2026-05-27T03:34:31Z","links":{"resolver":"https://pith.science/pith/DUKSUCWHCG3253XWU5HESBKAJD","bundle":"https://pith.science/pith/DUKSUCWHCG3253XWU5HESBKAJD/bundle.json","state":"https://pith.science/pith/DUKSUCWHCG3253XWU5HESBKAJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUKSUCWHCG3253XWU5HESBKAJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DUKSUCWHCG3253XWU5HESBKAJD","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":"b0a4f572e06134b9a1d46160d05da185ecad1db7b1b412733d3033e4527c34f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-08T19:03:48Z","title_canon_sha256":"34f6a25223713737e1a23a23a4735cb86c98fba8c69b4ea90de3887cd1ab194d"},"schema_version":"1.0","source":{"id":"1901.02470","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02470","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02470v2","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02470","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"DUKSUCWHCG32","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DUKSUCWHCG3253XW","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DUKSUCWH","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:42f14fbb6c19995e3e1dea7702042e239f0e2604f2da04967c93486872634202","target":"graph","created_at":"2026-05-17T23:43:50Z","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 introduce the bilinear bandit problem with low-rank structure in which an action takes the form of a pair of arms from two different entity types, and the reward is a bilinear function of the known feature vectors of the arms. The unknown in the problem is a $d_1$ by $d_2$ matrix $\\mathbf{\\Theta}^*$ that defines the reward, and has low rank $r \\ll \\min\\{d_1,d_2\\}$. Determination of $\\mathbf{\\Theta}^*$ with this low-rank structure poses a significant challenge in finding the right exploration-exploitation tradeoff. In this work, we propose a new two-stage algorithm called \"Explore-Subspace-T","authors_text":"Kwang-Sung Jun, Rebecca Willett, Robert Nowak, Stephen Wright","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-08T19:03:48Z","title":"Bilinear Bandits with Low-rank Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02470","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":"sha256:5fa29ee0c47ad9164776656e52b4498dfd57533ed46ed895c6397ec5bbfc8565","target":"record","created_at":"2026-05-17T23:43:50Z","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":"b0a4f572e06134b9a1d46160d05da185ecad1db7b1b412733d3033e4527c34f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-08T19:03:48Z","title_canon_sha256":"34f6a25223713737e1a23a23a4735cb86c98fba8c69b4ea90de3887cd1ab194d"},"schema_version":"1.0","source":{"id":"1901.02470","kind":"arxiv","version":2}},"canonical_sha256":"1d152a0ac711b7aeeef6a74e49054048ff36cbf58bc64eb9ae7e5d809d5c9866","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d152a0ac711b7aeeef6a74e49054048ff36cbf58bc64eb9ae7e5d809d5c9866","first_computed_at":"2026-05-17T23:43:50.139889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:50.139889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q7c49uRddvMzs3vN5/9LvWCos9dPMrcmoxsqpp9Dsl31hq8dWgNNiJ8lJSBaG93Hxv0nCyBrxWcFbu8l3huADA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:50.140554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02470","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fa29ee0c47ad9164776656e52b4498dfd57533ed46ed895c6397ec5bbfc8565","sha256:42f14fbb6c19995e3e1dea7702042e239f0e2604f2da04967c93486872634202"],"state_sha256":"b16b1265b752b0e58cfd37eccf73705c1db7ba7c8e32d025dd06b97a48a80534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8YHP9qXaOo+eUW5XP71NtpFhouyFTDf/N39HGN48auAlznNgll9BUH09u4RopfxkzxrO1gQyiiJxed3H03CLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:34:31.131126Z","bundle_sha256":"68caa58d71aaae7472b1084bdc295000184230bf70c7e61b946f0df6369da86d"}}