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Derivative-free optimization algorithms are particularly useful for tackling blackbox optimization problems where the objective function arises from complex and expensive procedures that preclude the use of classical gradient-based methods.…

Optimization and Control · Mathematics 2026-03-31 El Houcine Bergou , Youssef Diouane , Vyacheslav Kungurtsev , Clément W. Royer

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

Optimization and Control · Mathematics 2025-11-03 Damilola Fasiku , Wentao Tang

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

This work concerns the evolutionary approaches to distributed stochastic black-box optimization, in which each worker can individually solve an approximation of the problem with nature-inspired algorithms. We propose a distributed evolution…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Xiaoyu He , Zibin Zheng , Chuan Chen , Yuren Zhou , Chuan Luo , Qingwei Lin

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

Optimization and Control · Mathematics 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

With the growing deployment of sequential recommender systems in e-commerce and other fields, their black-box interfaces raise security concerns: models are vulnerable to extraction and subsequent adversarial manipulation. Existing…

Information Retrieval · Computer Science 2026-02-13 Hongyue Zhang , Mingming Li , Dongqin Liu , Hui Wang , Yaning Zhang , Xi Zhou , Honglei Lv , Jiao Dai , Jizhong Han

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

We perform a comprehensive study on the performance of derivative free optimization (DFO) algorithms for the generation of targeted black-box adversarial attacks on Deep Neural Network (DNN) classifiers assuming the perturbation energy is…

Machine Learning · Computer Science 2020-12-04 Giuseppe Ughi , Vinayak Abrol , Jared Tanner

In this paper, we consider mixed-integer nonsmooth constrained optimization problems whose objective/constraint functions are available only as the output of a black-box zeroth-order oracle (i.e., an oracle that does not provide derivative…

Optimization and Control · Mathematics 2021-07-02 Tommaso Giovannelli , Giampaolo Liuzzi , Stefano Lucidi , Francesco Rinaldi

Black-box global optimization aims at minimizing an objective function whose analytical form is not known. To do so, many state-of-the-art methods rely on sampling-based strategies, where sampling distributions are built in an iterative…

Optimization and Control · Mathematics 2024-09-30 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

Optimizing functions without access to gradients is the remit of black-box methods such as evolution strategies. While highly general, their learning dynamics are often times heuristic and inflexible - exactly the limitations that…

Neural and Evolutionary Computing · Computer Science 2023-03-03 Robert Tjarko Lange , Tom Schaul , Yutian Chen , Tom Zahavy , Valentin Dallibard , Chris Lu , Satinder Singh , Sebastian Flennerhag

With the growth of data and necessity for distributed optimization methods, solvers that work well on a single machine must be re-designed to leverage distributed computation. Recent work in this area has been limited by focusing heavily on…

Machine Learning · Computer Science 2016-08-04 Chenxin Ma , Jakub Konečný , Martin Jaggi , Virginia Smith , Michael I. Jordan , Peter Richtárik , Martin Takáč

Structured optimization problems are ubiquitous in fields like data science and engineering. The goal in structured optimization is using a prescribed set of points, called atoms, to build up a solution that minimizes or maximizes a given…

Optimization and Control · Mathematics 2021-01-14 Andrea Cristofari , Francesco Rinaldi

Robust machine learning is currently one of the most prominent topics which could potentially help shaping a future of advanced AI platforms that not only perform well in average cases but also in worst cases or adverse situations. Despite…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Pu Zhao , Sijia Liu , Pin-Yu Chen , Nghia Hoang , Kaidi Xu , Bhavya Kailkhura , Xue Lin

Distributed computation is a framework used to break down a complex computational task into smaller tasks and distributing them among computational nodes. Erasure correction codes have recently been introduced and have become a popular…

Information Theory · Computer Science 2021-08-17 Royee Yosibash , Ram Zamir

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

Optimization and Control · Mathematics 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

Although a large number of optimization algorithms have been proposed for black box optimization problems, the no free lunch theorems inform us that no algorithm can beat others on all types of problems. Different types of optimization…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Yaodong He , Shiu Yin Yuen

Several low-bandwidth distributable black-box optimization algorithms in the family of finite differences such as Evolution Strategies have recently been shown to perform nearly as well as tailored Reinforcement Learning methods in some…

Machine Learning · Computer Science 2023-01-20 Matthew Allen , John Raisbeck , Hakho Lee

Solving for adversarial examples with projected gradient descent has been demonstrated to be highly effective in fooling the neural network based classifiers. However, in the black-box setting, the attacker is limited only to the query…

Machine Learning · Computer Science 2022-10-19 Seungyong Moon , Gaon An , Hyun Oh Song

Many studies have been done to prove the vulnerability of neural networks to adversarial example. A trained and well-behaved model can be fooled by a visually imperceptible perturbation, i.e., an originally correctly classified image could…

Computer Vision and Pattern Recognition · Computer Science 2019-06-24 YiGui Luo , RuiJia Yang , Wei Sha , WeiYi Ding , YouTeng Sun , YiSi Wang
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