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math.PR2026
Algorithmic threshold for high-dimensional projection pursuit I: general theory
Brice Huang, Mark Sellke, Nike Sun
We study a null model of high-dimensional projection pursuit: we are given points sampled i.i.d. from a standard gaussian in dimensions, where with $M/N\toα\…
math.PR2026
A Counterexample to the Gaussian Completely Monotone Conjecture
Yuzhou Gu, Mark Sellke
We provide an explicit probability measure on for which the fifth time derivative of the entropy along the heat flow is positive at some time. This disproves the Gauss…
math.PR2026
On Anti-Confinement Estimates for Self-Repelling Random Walks
Tobias Schmidt, Mark Sellke
We study a class of -dimensional random walks, including the two-dimensional simple random walk, reweighted by a self-repelling Gibbsian pair potential. We prove lower bounds on…