9 citations · 9 across the 11 of their papers we have counts for
11 papers
Caffarelli Estimates under Lipschitz Perturbations
Maja Gwóźdź
We study dimension-free differential estimates for Brenier maps under first-order perturbations of the two marginals. Caffarelli's contraction theorem yields such estimates when th…
Dimension-Free Lipschitz Bounds for Brenier Maps to Compactly Supported Log-Concave Targets
Maja Gwozdz
We fix an integer and a symmetric positive-definite matrix . Let be finite, set \[ Z_μ:=\int_{\mathbb{R}^d}e^{-V(x…
Entropic optimal transport need not select a zero-temperature limit
Maja Gwozdz
We construct a compact metric space with an atomless probability measure and a bounded Lipschitz cost for which the entropic optimal-transport minimisers have no zero-temperature w…
Sharp Continuity Moduli for Dirichlet Heat Flow in Boundary-Reservoir Transport Metrics
Maja Gwozdz
Let be a bounded open set and let be the killed Dirichlet heat semigroup. We prove the sharp fixed-time power-scale modulus of for the Figal…
Failure of ambient closed-set large-deviation upper bounds in entropic optimal transport
Maja Gwozdz
Large-deviation upper bounds on compact sets do not, in general, extend to arbitrary closed sets without additional tightness. We show that this obstruction already occurs in stati…
Instability of the ray-monotone selector for -optimal transport
Maja Gwozdz
For the distance cost , the set of -optimal plans is generally not a singleton. Under the classical absolute-continuity hypotheses in the Euclidean case…
No weakly factor-universal cellular automaton
Maja Gwozdz
Hochman asked whether there exists a cellular automaton such that every cellular automaton is a factor of in the dynamical sense. In particular, we do not require the facto…
Green--Wasserstein Inequality on Compact Surfaces
Maja Gwozdz
Let be a compact connected two-dimensional Riemannian manifold without boundary. In this note, we answer a question posed by Steinerberger: can one remove the $\sqrt{\log n…
Bi-Lipschitz Smoothing under Ricci and Injectivity Bounds
Maja Gwozdz
We prove that a complete Riemannian manifold with a positive uniform lower bound on injectivity radius and a positive uniform lower bound on Ricci curvature admits an -cl…
Composing Modeling and Simulation with Machine Learning in Julia
Chris Rackauckas, Ranjan Anantharaman, Alan Edelman +10
In this paper we introduce JuliaSim, a high-performance programming environment designed to blend traditional modeling and simulation with machine learning. JuliaSim can build acce…
Multilingual Cross-domain Perspectives on Online Hate Speech
Tom De Smedt, Sylvia Jaki, Eduan Kotzé +4
In this report, we present a study of eight corpora of online hate speech, by demonstrating the NLP techniques that we used to collect and analyze the jihadist, extremist, racist,…