J. Portegies

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20122024

most citedUniversal Approximation in Dropout Neural Networks

11 citations · 13 across the 9 of their papers we have counts for

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math.MG2018

Embedding of $R C D^{*} (K, N)$ spaces in $L^{2}$ via eigenfunctions

Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies +1

In this paper we study the family of embeddings $Φ_{t}$ of a compact $R C D^{*} (K, N)$ space $(X, d, m)$ into $L^{2} (X, m)$ via eigenmaps. Extending part of the classical results by Bérard, Bé…

math.MG2017

Continuity of nonlinear eigenvalues in $C D (K, \infty)$ spaces with respect to measured Gromov-Hausdorff convergence

Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies

In this note we prove in the nonlinear setting of $C D (K, \infty)$ spaces the stability of the Krasnoselskii spectrum of the Laplace operator $- Δ$ under measured Gromov-Hausdorff con…

math.MG2017

Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property for Configurations

Rostislav Matveev, Jacobus W. Portegies

The entropy of a finite probability space $X$ measures the observable cardinality of large independent products $X^{\otimes n}$ of the probability space. If two probability spaces…

Embedding of RCD∗(K,N) spaces in L2 via eigenfunctions

Continuity of nonlinear eigenvalues in CD(K,∞) spaces with respect to measured Gromov-Hausdorff convergence

Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property for Configurations

Embedding of $R C D^{*} (K, N)$ spaces in $L^{2}$ via eigenfunctions

Continuity of nonlinear eigenvalues in $C D (K, \infty)$ spaces with respect to measured Gromov-Hausdorff convergence