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Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

Optimization and Control · Mathematics 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

The goal of this paper is to investigate an approach for derivative-free optimization that has not received sufficient attention in the literature and is yet one of the simplest to implement and parallelize. It consists of computing…

Optimization and Control · Mathematics 2021-02-22 Hao-Jun Michael Shi , Melody Qiming Xuan , Figen Oztoprak , Jorge Nocedal

This paper addresses the study of derivative-free smooth optimization problems, where the gradient information on the objective function is unavailable. Two novel general derivative-free methods are proposed and developed for minimizing…

Optimization and Control · Mathematics 2023-11-29 Pham Duy Khanh , Boris S. Mordukhovich , Dat Ba Tran

In this work, we are concerned with the worst case complexity analysis of "a posteriori" methods for unconstrained multi-objective optimization problems where objective function values can only be obtained by querying a black box. We…

Optimization and Control · Mathematics 2025-05-26 Giampaolo Liuzzi , Stefano Lucidi

We study decentralized optimization over networks where agents cooperatively minimize a smooth (strongly) convex sum of local losses while communicating only with immediate neighbors. Prevailing decentralized methods require either…

Optimization and Control · Mathematics 2026-05-04 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari

Optimization methods are essential in solving complex problems across various domains. In this research paper, we introduce a novel optimization method called Gaussian Crunching Search (GCS). Inspired by the behaviour of particles in a…

Optimization and Control · Mathematics 2023-07-28 Benny Wong

Zeroth-order optimization aims to minimize an objective function using only function evaluations, and is therefore fundamental in black-box optimization, hyperparameter tuning, bandit learning, and adversarial machine learning. While…

Optimization and Control · Mathematics 2026-04-28 Haishan Ye

Gradient-based optimization is the foundation of deep learning and reinforcement learning. Even when the mechanism being optimized is unknown or not differentiable, optimization using high-variance or biased gradient estimates is still…

Machine Learning · Computer Science 2018-02-27 Will Grathwohl , Dami Choi , Yuhuai Wu , Geoffrey Roeder , David Duvenaud

Derivative-free optimization algorithms play an important role in scientific and engineering design optimization problems, especially when derivative information is not accessible. In this paper, we study the framework of sequential…

Machine Learning · Computer Science 2025-04-16 Tianyi Han , Jingya Li , Zhipeng Guo , Yuan Jin

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…

Machine Learning · Computer Science 2022-11-28 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

A new universal derivative-free optimization method CDOS (Conjugate Direction with Orthogonal Shift) is proposed. The CDOS method was specially developed to solve optimization tasks where the objective function and constraints are black…

Optimization and Control · Mathematics 2011-02-08 Sergey Moiseev

This work presents the convergence rate analysis of stochastic variants of the broad class of direct-search methods of directional type. It introduces an algorithm designed to optimize differentiable objective functions $f$ whose values can…

Optimization and Control · Mathematics 2020-03-09 Kwassi Joseph Dzahini

In this paper, a novel derivative-free pattern search based algorithm for Black-box optimization is proposed over a simplex constrained parameter space. At each iteration, starting from the current solution, new possible set of solutions…

Optimization and Control · Mathematics 2026-04-16 Priyam Das

Stochastic optimization problems with unknown decision-dependent distributions have attracted increasing attention in recent years due to its importance in applications. Since the gradient of the objective function is inaccessible as a…

Optimization and Control · Mathematics 2025-10-30 Yuya Hikima , Akiko Takeda

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

Machine Learning · Computer Science 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

In this paper, we deal with the problem of optimizing a black-box smooth function over a full-dimensional smooth convex set. We study sets of feasible curves that allow to properly characterize stationarity of a solution and possibly carry…

Optimization and Control · Mathematics 2026-04-03 Xiaoxi Jia , Matteo Lapucci , Pierluigi Mansueto

In this paper, we consider derivative free optimization problems, where the objective function is smooth but is computed with some amount of noise, the function evaluations are expensive and no derivative information is available. We are…

Optimization and Control · Mathematics 2019-06-05 Albert S Berahas , Liyuan Cao , Krzysztof Choromanski , Katya Scheinberg

Black box discrete optimization (BBDO) appears in wide range of engineering tasks. Evolutionary or other BBDO approaches have been applied, aiming at automating necessary tuning of system parameters, such as hyper parameter tuning of…

Machine Learning · Computer Science 2018-09-19 Kouhei Nishida , Hernan Aguirre , Shota Saito , Shinichi Shirakawa , Youhei Akimoto

In this paper, we illustrate a novel method for solving optimization problems when derivatives are not explicitly available. We show that combining implicit filtering (IF), an existing derivative free optimization (DFO) method, with a deep…

Optimization and Control · Mathematics 2021-05-20 Brian Irwin , Eldad Haber , Raviv Gal , Avi Ziv

Black-box policy optimization is a class of reinforcement learning algorithms that explores and updates the policies at the parameter level. This class of algorithms is widely applied in robotics with movement primitives or…

Machine Learning · Computer Science 2022-03-22 Marius Memmel , Puze Liu , Davide Tateo , Jan Peters