Consensus stepFirst-order Nash equilibriumMin–max problemsTo solve min–max optimization problems, decentralized adaptive methods have been presented over multi-agent networks. In the non-convex non-concave structure, however, existing decentralized adaptive min–max methods may be divergence due to the...
Can we use Deb's NSGA in MATLAB for a Min-Max Optimization problem?Any references available..? 댓글 수: 0 댓글을 달려면 로그인하십시오. 이 질문에 답변하려면 로그인하십시오.답...
In this paper, we introduce a new class of algorithms for solving the mixed-integer bilevel min–max optimization problem. This problem involves two players, a leader and a follower, who play a Stackelberg game. In particular, the leader seeks to minimize over a set of discrete variables ...
Min-max optimization在对抗攻击中多考虑如下三个问题 (三个变体): Problem 1: Ensemble Attack over Multiple Models Problem 2: Universal Perturbation over Multiple Examples Problem 3: Adversarial Attack over Data Transformations 利用Min-max attack generation和learnable domain weights ( w )的好处有 与人为...
We consider the robust (or min-max) optimization problem $$J^*:=\\max_{\\mathbf{y}\\in{\\Omega}}\\min_{\\mathbf{x}}\\{f(\\mathbf{x},\\mathbf{y}): (\\mathbf{x},\\mathbf{y})\\in\\mathbf{\\Delta}\\}$$ where f is a polynomial and $${\\mathbf{\\Delta}\\subset\...
The definition of an instance of a combinatorial optimization problem requires to specify parameters, in particular coefficients of the objective function, which may be uncertain or imprecise. Uncertainty/imprecision can be structured through the concept of scenario which corresponds to an assignment of ...
目前所有主流的 Generative Adversarial Network (GAN) 都是使用的Adam算法来进行优化,如果有同学尝试过使用SGDA (Stochastic Gradient Descent-Ascent) 一定会发现,训练效果比较差,大多数情况下我们的网络只能生成出一些 noise,那么为什么在 minimization problem中,这两个优化器效果相差不大,但是在min-max optimization (...
In this study, we consider a continuous min--max optimization problem minx∈Xmaxy∈Yf(x,y) whose objective function is a black-box. We propose a novel approach to minimize the worst-case objective function F(x)=maxyf(x,y) directly using a covariance matrix adaptation evolution strategy (...
Let a social decision problem \((N,{\mathcal {X}},V)\) be given. If the parametric optimization problem (2) admits a continuous solution map \(\xi \,{:}\;\varDelta _N\rightarrow {\mathcal {X}}\), then the problem \((N,{\mathcal {X}},V)\) is simplicial, with Pareto ...
Some trajectory-following algorithms for min-max optimization T.L. Vincent, B.S. Goh, and, K.L. Teo Abstract. We consider a class of nonlinear min-max optimization problems subject to boundedness constraints on the decision vectors. Three algorithms are developed for finding the min-max point...