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Feedback optimization enables autonomous optimality seeking of a dynamical system through its closed-loop interconnection with iterative optimization algorithms. Among various iteration structures, model-based approaches require the…

Optimization and Control · Mathematics 2026-05-26 Zhiyu He , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

In this paper, we study the standard formulation of an optimization problem when the computation of gradient is not available. Such a problem can be classified as a "black box" optimization problem, since the oracle returns only the value…

Optimization and Control · Mathematics 2024-09-30 Aleksandr Lobanov , Nail Bashirov , Alexander Gasnikov

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

This paper deals with the black-box optimization problem. In this setup, we do not have access to the gradient of the objective function, therefore, we need to estimate it somehow. We propose a new type of approximation JAGUAR, that…

Optimization and Control · Mathematics 2024-12-03 Andrey Veprikov , Aleksandr Bogdanov , Vladislav Minashkin , Aleksandr Beznosikov

Gradient-based optimization is the workhorse of deep learning, offering efficient and scalable training via backpropagation. However, exposing gradients during training can leak sensitive information about the underlying data, raising…

Machine Learning · Computer Science 2026-01-06 Ismail Labiad , Mathurin Videau , Matthieu Kowalski , Marc Schoenauer , Alessandro Leite , Julia Kempe , Olivier Teytaud

Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic optimization…

Machine Learning · Statistics 2025-09-22 Manushi Welandawe , Michael Riis Andersen , Aki Vehtari , Jonathan H. Huggins

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

Neural and Evolutionary Computing · Computer Science 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Most successful stochastic black-box optimizers, such as CMA-ES, use rankings of the individual samples to obtain a new search distribution. Yet, the use of rankings also introduces several issues such as the underlying optimization…

Machine Learning · Statistics 2022-06-14 Maximilian Hüttenrauch , Gerhard Neumann

Black-box algorithms are designed to optimize functions without relying on their underlying analytical structure or gradient information, making them essential when gradients are inaccessible or difficult to compute. Traditional methods for…

Machine Learning · Computer Science 2026-01-21 Yedidya Kfir , Elad Sarafian , Sarit Kraus , Yoram Louzoun

Black-box variational inference is widely used in situations where there is no proof that its stochastic optimization succeeds. We suggest this is due to a theoretical gap in existing stochastic optimization proofs: namely the challenge of…

Machine Learning · Computer Science 2023-12-25 Justin Domke , Guillaume Garrigos , Robert Gower

We introduce a novel approach for analyzing the performance of first-order black-box optimization methods. We focus on smooth unconstrained convex minimization over the Euclidean space $R^d$. Our approach relies on the observation that by…

Optimization and Control · Mathematics 2012-06-15 Yoel Drori , Marc Teboulle

We present a novel algorithm -- convex natural evolutionary strategies (CoNES) -- for optimizing high-dimensional blackbox functions by leveraging tools from convex optimization and information geometry. CoNES is formulated as an…

Machine Learning · Computer Science 2020-07-21 Sushant Veer , Anirudha Majumdar

We present an optimal gradient method for smooth strongly convex optimization. The method is optimal in the sense that its worst-case bound on the distance to an optimal point exactly matches the lower bound on the oracle complexity for the…

Optimization and Control · Mathematics 2022-06-15 Adrien Taylor , Yoel Drori

We investigate the convergence properties of a class of iterative algorithms designed to minimize a potentially non-smooth and noisy objective function, which may be algebraically intractable and whose values may be obtained as the output…

Computation · Statistics 2025-12-04 Christophe Andrieu , Nicolas Chopin , Ettore Fincato , Mathieu Gerber

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

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

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often…

Machine Learning · Computer Science 2020-06-09 Cong Ma , Kaizheng Wang , Yuejie Chi , Yuxin Chen

Gradient boosting is a state-of-the-art prediction technique that sequentially produces a model in the form of linear combinations of simple predictors---typically decision trees---by solving an infinite-dimensional convex optimization…

Statistics Theory · Mathematics 2017-07-18 Gérard Biau , Benoît Cadre

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

Research on new optimization algorithms is often funded based on the motivation that such algorithms might improve the capabilities to deal with real-world and industrially relevant optimization challenges. Besides a huge variety of…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Ramses Sala , Ralf Müller