{"paper":{"title":"On the Robustness of Distribution Support under Diffusion Guidance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Guided diffusion processes keep samples close to the target support when given exact score functions.","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Nisha Chandramoorthy, Ruijia Cao, Yuchen Wu","submitted_at":"2026-05-08T04:12:02Z","abstract_excerpt":"Diffusion guidance is a powerful technique that enables controllable and high-fidelity sample generation with diffusion models. At a high level, it modifies the score function by incorporating a guidance term that steers the generative process toward a desired condition. Despite its empirical success, the theoretical properties of diffusion guidance remain largely unexplored, and it is not well understood why it consistently produces high-quality samples.\n  In this work, we explain the effectiveness of diffusion guidance by establishing a robustness of support property. Specifically, we show t"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we show that, given exact access to the score functions, guided diffusion processes almost always generate samples that remain close to the target support.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The analysis requires exact access to the score functions of the diffusion process and applies specifically to discretization schemes induced by exponential integrators for DDIM and DDPM.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Guided diffusion generates samples near the target distribution support under exact score access, explaining its empirical success in producing plausible outputs.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Guided diffusion processes keep samples close to the target support when given exact score functions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"6c7c8808b623e9c03134e576030a632d9cc6cbac223c0b306ed267c3418e7871"},"source":{"id":"2605.07220","kind":"arxiv","version":2},"verdict":{"id":"37d8e4d7-9247-4233-b405-92bd75efc988","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-11T02:23:32.189360Z","strongest_claim":"we show that, given exact access to the score functions, guided diffusion processes almost always generate samples that remain close to the target support.","one_line_summary":"Guided diffusion generates samples near the target distribution support under exact score access, explaining its empirical success in producing plausible outputs.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The analysis requires exact access to the score functions of the diffusion process and applies specifically to discretization schemes induced by exponential integrators for DDIM and DDPM.","pith_extraction_headline":"Guided diffusion processes keep samples close to the target support when given exact score functions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.07220/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T11:22:03.301957Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-20T06:34:43.513547Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T17:01:19.490233Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T12:00:45.490418Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"13828d66a53b1def17e50cdf0421b4fc003596d70fd757fc0314233139a13084"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e25f9c1761d684a43a12f4643e863492ee150a063411c15e47b5708e2d1ba74c"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}