Cover Image

A mean curvature flow arising in adversarial training

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bungert, Leon, Laux, Tim, Stinson, Kerrek
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Machine Learning 28A75, 35D40, 49J45, 53E10, 68T05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning
by: Bungert, Leon, et al.
Published: (2022)

Equivalence of weak solution concepts for mean curvature flow
by: Laux, Tim, et al.
Published: (2025)

Median filter method for mean curvature flow using a random Jacobi algorithm
by: Ullrich, Anton, et al.
Published: (2024)

Generic level sets in mean curvature flow are BV solutions
by: Ullrich, Anton, et al.
Published: (2023)

Existence of flat flows for volume-preserving mean curvature flow with contact angle
by: Jang, Jiwoong
Published: (2025)

Generic mean curvature flow with obstacles
by: Laux, Tim, et al.
Published: (2025)

Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term
by: Bulanyi, Bohdan, et al.
Published: (2025)

Plastic limit of a viscoplastic Burgers equation -- A toy model for sea-ice dynamics
by: Liu, Xin, et al.
Published: (2026)

A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
by: Kubin, Andrea, et al.
Published: (2025)

Survey on topological methods for Allen--Cahn equations and systems
by: Andrade, João Henrique, et al.
Published: (2026)

From bubbles to clusters: Multiple solutions to the Allen--Cahn system
by: de Andrade, João Henrique, et al.
Published: (2024)

Partial regularity and higher integrability for A-quasiconvex variational problems
by: Li, Zhuolin, et al.
Published: (2024)

Partial regularity for $\mathscr{A}$-quasiconvex variational problems of linear growth
by: Irving, Christopher, et al.
Published: (2026)

Convergence of graph Dirichlet energies and graph Laplacians on intersecting manifolds of varying dimensions
by: Bungert, Leon, et al.
Published: (2025)

Homogenization of quadratic convolution energies in periodically perforated domains
by: Braides, Andrea, et al.
Published: (2019)

Existence of weak mean curvature flow with prescribed contact angle via elliptic regularization
by: Tashiro, Kiichi
Published: (2024)

Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers, and Brown's Fundamental Theorem
by: Di Fratta, Giovanni, et al.
Published: (2025)

An efficient volume-preserving MBO scheme for data clustering and classification
by: Krämer, Fabius, et al.
Published: (2024)

A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
by: Davoli, Elisa, et al.
Published: (2024)

Obstacle Mean Curvature Flow: Efficient Approximation and Convergence Analysis
by: Krämer, Fabius, et al.
Published: (2025)

Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of $p$-capacitary potentials
by: Cabezas-Rivas, Esther, et al.
Published: (2024)

On the relaxation of polyconvex functionals with linear growth under strict convergence in $BV$
by: Scala, Riccardo
Published: (2025)

A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
by: Jang, Jiwoong
Published: (2023)

Sharp Boundary Growth Rate Estimate of the Singular Equation $-Δu=u^{-γ}$ in a Critical Cone
by: Wu, Leyun, et al.
Published: (2025)

Compactness for $GSBV^p$ via concentration-compactness
by: Feldman, William M, et al.
Published: (2025)

Dimension reduction of fractional Sobolev seminorms on thin domains
by: Braides, Andrea, et al.
Published: (2026)

Time global existence of generalized BV flow via the Allen--Cahn equation
by: Tashiro, Kiichi
Published: (2023)

Optimal convergence rate to the nonrelativistic limit of Chandrasekhar variational model for Neutron stars
by: Chen, Yuanhui, et al.
Published: (2024)

Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach
by: Gonzálvez, Irene, et al.
Published: (2024)

A two-player zero-sum probabilistic game that approximates the mean curvature flow
by: Gonzalvez, Irene, et al.
Published: (2025)

Strong existence for free discontinuity problems in linear elasticity
by: Friedrich, Manuel, et al.
Published: (2024)

Weighted, Multiphase, Volume-Preserving Mean Curvature Flow as Limit of the MBO Scheme on Manifolds
by: Krämer, Fabius
Published: (2025)

Second-order asymptotics of fractional Gagliardo seminorms as $s\to1^-$ and convergence of the associated gradient flows
by: Kubin, Andrea, et al.
Published: (2024)

Minimizing movements for the generalized power mean curvature flow
by: Bellettini, Giovanni, et al.
Published: (2024)

Isometric Immersions and Weak Solutions to the Darboux Equation
by: Cao, Wentao, et al.
Published: (2025)

On an obstacle problem for the Brakke flow with a generalized right-angle boundary condition
by: Nik, Katerina, et al.
Published: (2024)

Boundary vortices in the presence of a magnetic field
by: Awashra, Khalida, et al.
Published: (2025)

A comparison principle based on couplings of partial integro-differential operators
by: Della Corte, Serena, et al.
Published: (2024)

Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
by: Buet, Blanche, et al.
Published: (2025)

Strong convergence of sequences with vanishing relative entropy
by: Alves, Nuno J., et al.
Published: (2024)