Log-FM applies a per-coordinate soft-log transform (with Hill diagnostic) to compress heavy tails for standard flow matching, outperforming baselines on W1, CVaR99 and extreme quantiles across 144 multivariate configurations.
Extreme Value Theory: Technical Details This appendix provides the formal definitions and results from extreme value theory used in the main text
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Tail Annealing for Heavy-Tailed Flow Matching
Log-FM applies a per-coordinate soft-log transform (with Hill diagnostic) to compress heavy tails for standard flow matching, outperforming baselines on W1, CVaR99 and extreme quantiles across 144 multivariate configurations.