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In this work, we consider multiobjective optimization problems with both bound constraints on the variables and general nonlinear constraints, where objective and constraint function values can only be obtained by querying a black box.…

Optimization and Control · Mathematics 2022-04-15 Giampaolo Liuzzi , Stefano Lucidi

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

In this work we consider unconstrained optimization problems. The objective function is known through a zeroth order stochastic oracle that gives an estimate of the true objective function. To solve these problems, we propose a…

Optimization and Control · Mathematics 2025-08-04 Alberto De Santis , Giampaolo Liuzzi , Stefano Lucidi

In this paper we consider constrained optimization problems where both the objective and constraint functions are of the black-box type. Furthermore, we assume that the nonlinear inequality constraints are non-relaxable, i.e. their values…

Optimization and Control · Mathematics 2026-01-13 Andrea Brilli , Giampaolo Liuzzi , Stefano Lucidi

In this paper we consider bound-constrained mixed-integer optimization problems where the objective function is differentiable w.r.t.\ the continuous variables for every configuration of the integer variables. We mainly suggest to exploit…

Optimization and Control · Mathematics 2026-01-19 Matteo Lapucci , Giampaolo Liuzzi , Stefano Lucidi , Pierluigi Mansueto

In this work, the joint use of a mixed penalty-interior point method and direct search is proposed, to address {nonlinear} constrained derivative-free optimization problems. A merit function is considered, wherein the set of nonlinear…

Optimization and Control · Mathematics 2026-01-19 Andrea Brilli , Ana L. Custódio , Giampaolo Liuzzi , Everton J. Silva

In this paper, we propose a new method based on the Sliding Algorithm from Lan(2016, 2019) for the convex composite optimization problem that includes two terms: smooth one and non-smooth one. Our method uses the stochastic noised…

Optimization and Control · Mathematics 2021-06-16 Aleksandr Beznosikov , Eduard Gorbunov , Alexander Gasnikov

In this work, we propose the joint use of a mixed penalty-interior point method and direct search, for addressing nonlinearly constrained derivative-free optimization problems. A merit function is considered, wherein the set of nonlinear…

Optimization and Control · Mathematics 2025-09-16 Andrea Brilli , Ana L. Custódio , Giampaolo Liuzzi , Everton J. Silva

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

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

Gradient-free/zeroth-order methods for black-box convex optimization have been extensively studied in the last decade with the main focus on oracle calls complexity. In this paper, besides the oracle complexity, we focus also on iteration…

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

We present new methods for solving a broad class of bound-constrained nonsmooth composite minimization problems. These methods are specially designed for objectives that are some known mapping of outputs from a computationally expensive…

Optimization and Control · Mathematics 2023-09-11 Jeffrey Larson , Matt Menickelly

This paper deals with stochastic optimization problems involving Markovian noise with a zero-order oracle. We present and analyze a novel derivative-free method for solving such problems in strongly convex smooth and non-smooth settings…

Optimization and Control · Mathematics 2026-01-06 Boris Prokhorov , Semyon Chebykin , Alexander Gasnikov , Aleksandr Beznosikov

This paper explores a method for solving constrained optimization problems when the derivatives of the objective function are unavailable, while the derivatives of the constraints are known. We allow the objective and constraint function to…

Optimization and Control · Mathematics 2024-02-20 Melody Qiming Xuan , Jorge Nocedal

In this paper, we present a novel derivative-free optimization framework for solving unconstrained stochastic optimization problems. Many problems in fields ranging from simulation optimization to reinforcement learning involve settings…

Optimization and Control · Mathematics 2024-04-19 Raghu Bollapragada , Cem Karamanli , Stefan M. Wild

In this paper we present an inexact zeroth-order method suitable for the solution nonsmooth and nonconvex stochastic composite optimization problems, in which the objective is split into a real-valued Lipschitz continuous stochastic…

Optimization and Control · Mathematics 2025-12-11 Spyridon Pougkakiotis , Dionysis Kalogerias

We introduce a novel distributed derivative-free optimization framework that is resilient to stragglers. The proposed method employs coded search directions at which the objective function is evaluated, and a decoding step to find the next…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-16 Burak Bartan , Mert Pilanci

We consider the problem of optimizing the sum of a smooth, nonconvex function for which derivatives are unavailable, and a convex, nonsmooth function with easy-to-evaluate proximal operator. Of particular focus is the case where the smooth…

Optimization and Control · Mathematics 2024-07-23 Yanjun Liu , Kevin H. Lam , Lindon Roberts

We propose and analyze a model-based derivative-free (DFO) algorithm for solving bound-constrained optimization problems where the objective function is the composition of a smooth function and a vector of black-box functions. We assume…

Optimization and Control · Mathematics 2024-01-03 Frank E. Curtis , Shima Dezfulian , Andreas Wächter
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