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相关论文: Min-Max Optimization without Gradients: Convergenc…

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We consider a generic min-max multi-objective bilevel optimization problem with applications in robust machine learning such as representation learning and hyperparameter optimization. We design MORBiT, a novel single-loop gradient…

机器学习 · 计算机科学 2023-03-08 Alex Gu , Songtao Lu , Parikshit Ram , Lily Weng

In this work, we consider a distributed multi-agent stochastic optimization problem, where each agent holds a local objective function that is smooth and convex, and that is subject to a stochastic process. The goal is for all agents to…

最优化与控制 · 数学 2022-10-12 Elissa Mhanna , Mohamad Assaad

This paper proposes a black-box adversarial attack method to automatic speech recognition systems. Some studies have attempted to attack neural networks for speech recognition; however, these methods did not consider the robustness of…

声音 · 计算机科学 2024-07-09 Shoma Ishida , Satoshi Ono

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

机器学习 · 计算机科学 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu

Iterative optimization is central to modern artificial intelligence (AI) and provides a crucial framework for understanding adaptive systems. This review provides a unified perspective on this subject, bridging classic theory with neural…

机器学习 · 计算机科学 2025-10-22 Jesús García Fernández , Nasir Ahmad , Marcel van Gerven

We consider regression problems with binary weights. Such optimization problems are ubiquitous in quantized learning models and digital communication systems. A natural approach is to optimize the corresponding Lagrangian using variants of…

机器学习 · 计算机科学 2020-12-01 Nisan Chiprut , Amir Globerson , Ami Wiesel

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Generative Adversarial Networks are notoriously challenging to train. The underlying minmax optimization is highly susceptible to the variance of the stochastic gradient and the rotational component of the associated game vector field. To…

Under mild regularity conditions, gradient-based methods converge globally to a critical point in the single-loss setting. This is known to break down for vanilla gradient descent when moving to multi-loss optimization, but can we hope to…

最优化与控制 · 数学 2021-01-19 Alistair Letcher

We study the problem of zero-order optimization of a strongly convex function. The goal is to find the minimizer of the function by a sequential exploration of its values, under measurement noise. We study the impact of higher order…

机器学习 · 计算机科学 2022-11-28 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

In this paper, we propose a general class of algorithms for optimizing an extensive variety of nonsmoothly penalized objective functions that satisfy certain regularity conditions. The proposed framework utilizes the…

统计计算 · 统计学 2011-01-24 Elizabeth D. Schifano , Robert L. Strawderman , Martin T. Wells

Adversarial training has gained great popularity as one of the most effective defenses for deep neural network and more generally for gradient-based machine learning models against adversarial perturbations on data points. This paper…

机器学习 · 计算机科学 2023-05-25 Haotian Gu , Xin Guo , Xinyu Li

Minimax optimization recently is widely applied in many machine learning tasks such as generative adversarial networks, robust learning and reinforcement learning. In the paper, we study a class of nonconvex-nonconcave minimax optimization…

最优化与控制 · 数学 2025-04-23 Feihu Huang , Chunyu Xuan , Xinrui Wang , Siqi Zhang , Songcan Chen

We design Local LMO - a new projection-free gradient-type method for constrained optimization. The key algorithmic idea is to replace the global linear minimization oracle over the constraint set used by Frank-Wolfe (FW) with a local linear…

最优化与控制 · 数学 2026-05-12 Peter Richtárik , Kaja Gruntkowska , Hanmin Li

Large pre-trained language models (PLMs) have garnered significant attention for their versatility and potential for solving a wide spectrum of natural language processing (NLP) tasks. However, the cost of running these PLMs may be…

计算与语言 · 计算机科学 2023-05-18 Chengcheng Han , Liqing Cui , Renyu Zhu , Jianing Wang , Nuo Chen , Qiushi Sun , Xiang Li , Ming Gao

Evaluating the adversarial robustness of machine learning models using gradient-based attacks is challenging. In this work, we show that hyperparameter optimization can improve fast minimum-norm attacks by automating the selection of the…

机器学习 · 计算机科学 2023-10-13 Giuseppe Floris , Raffaele Mura , Luca Scionis , Giorgio Piras , Maura Pintor , Ambra Demontis , Battista Biggio

We propose a reduced-space formulation for optimizing over trained neural networks where the network's outputs and derivatives are evaluated on a GPU. To do this, we treat the neural network as a "gray box" where intermediate variables and…

机器学习 · 计算机科学 2025-12-10 Robert Parker , Oscar Dowson , Nicole LoGiudice , Manuel Garcia , Russell Bent

We are focusing on bound constrained global optimization problems, whose objective functions are computationally expensive black-box functions and have multiple local minima. The recently popular Metric Stochastic Response Surface (MSRS)…

机器学习 · 统计学 2014-10-24 Yilun Wang , Christine A. Shoemaker

Deep neural networks (DNNs) are one of the most prominent technologies of our time, as they achieve state-of-the-art performance in many machine learning tasks, including but not limited to image classification, text mining, and speech…

机器学习 · 统计学 2017-11-03 Pin-Yu Chen , Huan Zhang , Yash Sharma , Jinfeng Yi , Cho-Jui Hsieh

Constrained optimization of the parameters of a simulator plays a crucial role in a design process. These problems become challenging when the simulator is stochastic, computationally expensive, and the parameter space is high-dimensional.…

最优化与控制 · 数学 2023-11-28 Atul Agrawal , Kislaya Ravi , Phaedon-Stelios Koutsourelakis , Hans-Joachim Bungartz