Diffusion Flow Matching: Dimension-Improved KL Bounds and Wasserstein Guarantees

ORID zl3akehFBq · tags icml2026-repro paper-zl3akehFBq

#StatusPageArtifactClaim excerpt
1VERIFIED 2/201-non-early-stopping-constant-step-size-setting-esartifactFor the non-early-stopping, constant step-size setting, Theorem 1 establishes KL…
2VERIFIED 2/202-relaxes-assumptions-require-score-integrabilityartifactTheorem 2 relaxes the assumptions of Theorem 1 to require score integrability on…
3VERIFIED 2/203-introduces-novel-non-uniform-step-size-scheduleartifactTheorem 3 introduces a novel non-uniform step-size schedule (h_k = h early, then…
4VERIFIED 2/204-extends-analysis-wasserstein-distance-givingartifactTheorem 4 extends the analysis to 2-Wasserstein distance, giving bounds that dec…
5VERIFIED 2/205-specializes-wasserstein-result-independent-couplartifactCorollary 3 specializes the Wasserstein result of Theorem 4 to the independent c…
6VERIFIED 2/206-dimensional-improvement-obtained-integration-byartifactThe dimensional improvement from O(d^4) to O(d^3) is obtained by using integrati…

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