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Topology attack and defense for graph neural networks: An optimization perspective
Graph neural networks (GNNs) which apply the deep neural networks to graph data have
achieved significant performance for the task of semi-supervised node classification …
achieved significant performance for the task of semi-supervised node classification …
Solving a class of non-convex min-max games using iterative first order methods
Recent applications that arise in machine learning have surged significant interest in solving
min-max saddle point games. This problem has been extensively studied in the convex …
min-max saddle point games. This problem has been extensively studied in the convex …
Weakly-convex–concave min–max optimization: provable algorithms and applications in machine learning
Min–max problems have broad applications in machine learning, including learning with
non-decomposable loss and learning with robustness to data distribution. Convex–concave …
non-decomposable loss and learning with robustness to data distribution. Convex–concave …
Hybrid block successive approximation for one-sided non-convex min-max problems: algorithms and applications
The min-max problem, also known as the saddle point problem, is a class of optimization
problems which minimizes and maximizes two subsets of variables simultaneously. This …
problems which minimizes and maximizes two subsets of variables simultaneously. This …
Efficient search of first-order nash equilibria in nonconvex-concave smooth min-max problems
We propose an efficient algorithm for finding first-order Nash equilibria in min-max problems
of the form \textstylex∈Xy∈YF(x,y), where the objective function is smooth in both variables …
of the form \textstylex∈Xy∈YF(x,y), where the objective function is smooth in both variables …
Min-max optimization without gradients: Convergence and applications to black-box evasion and poisoning attacks
In this paper, we study the problem of constrained min-max optimization in a black-box
setting, where the desired optimizer cannot access the gradients of the objective function but …
setting, where the desired optimizer cannot access the gradients of the objective function but …
An accelerated inexact proximal point method for solving nonconvex-concave min-max problems
This paper presents smoothing schemes for obtaining approximate stationary points of
unconstrained or linearly constrained composite nonconvex-concave min-max (and hence …
unconstrained or linearly constrained composite nonconvex-concave min-max (and hence …
A decentralized parallel algorithm for training generative adversarial nets
Abstract Generative Adversarial Networks (GANs) are a powerful class of generative models
in the deep learning community. Current practice on large-scale GAN training utilizes large …
in the deep learning community. Current practice on large-scale GAN training utilizes large …
Towards better understanding of adaptive gradient algorithms in generative adversarial nets
Adaptive gradient algorithms perform gradient-based updates using the history of gradients
and are ubiquitous in training deep neural networks. While adaptive gradient methods …
and are ubiquitous in training deep neural networks. While adaptive gradient methods …
Convex-concave min-max Stackelberg games
Min-max optimization problems (ie, min-max games) have been attracting a great deal of
attention because of their applicability to a wide range of machine learning problems …
attention because of their applicability to a wide range of machine learning problems …