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Zeroth-order optimization addresses problems where gradient information is inaccessible or impractical to compute. While most existing methods rely on first-order approximations, incorporating second-order (curvature) information can, in…

Machine Learning · Computer Science 2025-07-09 Dongyoon Kim , Sungjae Lee , Wonjin Lee , Kwang In Kim

Zeroth-order methods are extensively used in machine learning applications where gradients are infeasible or expensive to compute, such as black-box attacks, reinforcement learning, and language model fine-tuning. Existing optimization…

Machine Learning · Computer Science 2025-11-12 Liang Zhang , Bingcong Li , Kiran Koshy Thekumparampil , Sewoong Oh , Michael Muehlebach , Niao He

In this work, we focus on the study of stochastic zeroth-order (ZO) optimization which does not require first-order gradient information and uses only function evaluations. The problem of ZO optimization has emerged in many recent machine…

Machine Learning · Statistics 2020-12-22 Pranay Sharma , Kaidi Xu , Sijia Liu , Pin-Yu Chen , Xue Lin , Pramod K. Varshney

This paper considers a consensus optimization problem, where all the nodes in a network, with access to the zeroth-order information of its local objective function only, attempt to cooperatively achieve a common minimizer of the sum of…

Optimization and Control · Mathematics 2024-06-17 Chengan Wang , Zichong Ou , Jie Lu

We focus on the problem of black-box adversarial attacks, where the aim is to generate adversarial examples using information limited to loss function evaluations of input-output pairs. We use Bayesian optimization~(BO) to specifically…

Machine Learning · Computer Science 2019-10-01 Satya Narayan Shukla , Anit Kumar Sahu , Devin Willmott , J. Zico Kolter

We focus on the problem of adversarial attacks against models on discrete sequential data in the black-box setting where the attacker aims to craft adversarial examples with limited query access to the victim model. Existing black-box…

Machine Learning · Computer Science 2022-06-20 Deokjae Lee , Seungyong Moon , Junhyeok Lee , Hyun Oh Song

Recent studies show deep neural networks (DNNs) are extremely vulnerable to the elaborately designed adversarial examples. Adversarial learning with those adversarial examples has been proved as one of the most effective methods to defend…

Machine Learning · Computer Science 2022-07-05 Yaguan Qian , Yuqi Wang , Bin Wang , Zhaoquan Gu , Yuhan Guo , Wassim Swaileh

Despite the great achievements of the modern deep neural networks (DNNs), the vulnerability/robustness of state-of-the-art DNNs raises security concerns in many application domains requiring high reliability. Various adversarial attacks are…

Machine Learning · Computer Science 2020-02-20 Pu Zhao , Pin-Yu Chen , Siyue Wang , Xue Lin

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…

Machine Learning · Statistics 2017-11-03 Pin-Yu Chen , Huan Zhang , Yash Sharma , Jinfeng Yi , Cho-Jui Hsieh

An algorithm is proposed for solving optimization problems arising in neural network training for supervised learning. The unique feature of the algorithm is the use of an auxiliary loss, in addition to the original loss employed for model…

Optimization and Control · Mathematics 2026-05-11 Yunlang Zhu , Lingjun Guo , Zahra Khatti , Xiaoyi Qu , Chia-Yuan Wu , Lara Zebiane , Frank E. Curtis

We consider the zeroth-order optimization problem in the huge-scale setting, where the dimension of the problem is so large that performing even basic vector operations on the decision variables is infeasible. In this paper, we propose a…

Optimization and Control · Mathematics 2021-08-17 HanQin Cai , Yuchen Lou , Daniel McKenzie , Wotao Yin

Deep Learning has become popular due to its vast applications in almost all domains. However, models trained using deep learning are prone to failure for adversarial samples and carry a considerable risk in sensitive applications. Most of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Satyadwyoom Kumar , Saurabh Gupta , Arun Balaji Buduru

Recent studies have shown that adversarial examples in state-of-the-art image classifiers trained by deep neural networks (DNN) can be easily generated when the target model is transparent to an attacker, known as the white-box setting.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-03 Chun-Chen Tu , Paishun Ting , Pin-Yu Chen , Sijia Liu , Huan Zhang , Jinfeng Yi , Cho-Jui Hsieh , Shin-Ming Cheng

Zeroth-order optimization is a fundamental research topic that has been a focus of various learning tasks, such as black-box adversarial attacks, bandits, and reinforcement learning. However, in theory, most complexity results assert a…

Optimization and Control · Mathematics 2023-08-03 Pengyun Yue , Long Yang , Cong Fang , Zhouchen Lin

The zeroth-order optimization has been widely used in machine learning applications. However, the theoretical study of the zeroth-order optimization focus on the algorithms which approximate (first-order) gradients using (zeroth-order)…

Machine Learning · Computer Science 2023-08-02 Haishan Ye

In this study, we delve into an emerging optimization challenge involving a black-box objective function that can only be gauged via a ranking oracle-a situation frequently encountered in real-world scenarios, especially when the function…

Machine Learning · Computer Science 2024-04-16 Zhiwei Tang , Dmitry Rybin , Tsung-Hui Chang

Zeroth-order optimization (ZO) has been a powerful framework for solving black-box problems, which estimates gradients using zeroth-order data to update variables iteratively. The practical applicability of ZO critically depends on the…

Optimization and Control · Mathematics 2026-03-03 Ruiyang Jin , Yuke Zhou , Yujie Tang , Jie Song , Siyang Gao

Zeroth-order (ZO) optimization is a subset of gradient-free optimization that emerges in many signal processing and machine learning applications. It is used for solving optimization problems similarly to gradient-based methods. However, it…

Machine Learning · Computer Science 2020-06-23 Sijia Liu , Pin-Yu Chen , Bhavya Kailkhura , Gaoyuan Zhang , Alfred Hero , Pramod K. Varshney

Zeroth-order methods have become important tools for solving problems where we have access only to function evaluations. However, the zeroth-order methods only using gradient approximations are $n$ times slower than classical first-order…

Optimization and Control · Mathematics 2022-02-10 Erik Berglund , Sarit Khirirat , Xiaoyu Wang

Second-order optimization uses curvature information about the objective function, which can help in faster convergence. However, such methods typically require expensive computation of the Hessian matrix, preventing their usage in a…

Machine Learning · Computer Science 2022-11-03 Mohamed Elsayed , A. Rupam Mahmood
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