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It was recently shown [7, 9] that "properly built" linear and polyhedral estimates nearly attain minimax accuracy bounds in the problem of recovery of unknown signal from noisy observations of linear images of the signal when the signal set…

Optimization and Control · Mathematics 2023-12-25 Yannis Bekri , Anatoli Juditsky , Arkadi Nemirovski

This paper investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

We present a framework to train a structured prediction model by performing smoothing on the inference algorithm it builds upon. Smoothing overcomes the non-smoothness inherent to the maximum margin structured prediction objective, and…

Machine Learning · Statistics 2019-02-11 Krishna Pillutla , Vincent Roulet , Sham M. Kakade , Zaid Harchaoui

Estimating hyperparameters has been a long-standing problem in machine learning. We consider the case where the task at hand is modeled as the solution to an optimization problem. Here the exact gradient with respect to the hyperparameters…

Optimization and Control · Mathematics 2023-11-16 Matthias J. Ehrhardt , Lindon Roberts

We develop a first-order (pseudo-)gradient approach for optimizing functions over the stationary distribution of discrete-time Markov chains (DTMC). We give insights into why solving this optimization problem is challenging and show how…

Optimization and Control · Mathematics 2024-07-23 Nanne A. Dieleman , Joost Berkhout , Bernd Heidergott

In this work, we present an efficient gradient projection method for solving a class of stochastic optimal control problem with expected integral state constraint. The first order optimality condition system consisting of forward-backward…

Optimization and Control · Mathematics 2024-12-24 Qiming Wang , Wenbin Liu

Many quantum many-body wavefunctions, such as Jastrow-Slater, tensor network, and neural quantum states, are studied with the variational Monte Carlo technique, where stochastic optimization is usually performed to obtain a faithful…

Strongly Correlated Electrons · Physics 2025-08-21 Ruojing Peng , Garnet Kin-Lic Chan

We deal with the problem of gradient estimation for stochastic differentiable relaxations of algorithms, operators, simulators, and other non-differentiable functions. Stochastic smoothing conventionally perturbs the input of a…

Machine Learning · Computer Science 2024-10-11 Felix Petersen , Christian Borgelt , Aashwin Mishra , Stefano Ermon

In this work, we present a novel algorithm design methodology that finds the optimal algorithm as a function of inequalities. Specifically, we restrict convergence analyses of algorithms to use a prespecified subset of inequalities, rather…

Optimization and Control · Mathematics 2024-03-25 Chanwoo Park , Ernest K. Ryu

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

Offline optimization is an emerging problem in many experimental engineering domains including protein, drug or aircraft design, where online experimentation to collect evaluation data is too expensive or dangerous. To avoid that, one has…

Machine Learning · Computer Science 2024-05-10 Yassine Chemingui , Aryan Deshwal , Trong Nghia Hoang , Janardhan Rao Doppa

Generalized additive index models (GAIMs) offer a flexible semiparametric framework for capturing complex data relationships, balancing the interpretability of parametric models with the flexibility of nonparametric approaches. However,…

Methodology · Statistics 2026-05-29 Ziyu Peng , Linglingzhi Zhu , Yao Xie

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

Computer Science and Game Theory · Computer Science 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti

Personalised interactive systems such as recommender systems require selecting relevant items from massive catalogs dependent on context. Reward-driven offline optimisation of these systems can be achieved by a relaxation of the discrete…

Information Retrieval · Computer Science 2023-05-30 Otmane Sakhi , David Rohde , Alexandre Gilotte

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

Meta-learning has been proposed as a promising machine learning topic in recent years, with important applications to image classification, robotics, computer games, and control systems. In this paper, we study the problem of using…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Yunian Pan , Tao Li , Quanyan Zhu

In physics and engineering, many processes are modeled using non-differentiable black-box simulators, making the optimization of such functions particularly challenging. To address such cases, inspired by the Gradient Theorem, we propose…

We propose a novel method for gradient-based optimization of black-box simulators using differentiable local surrogate models. In fields such as physics and engineering, many processes are modeled with non-differentiable simulators with…

Machine Learning · Computer Science 2020-09-30 Sergey Shirobokov , Vladislav Belavin , Michael Kagan , Andrey Ustyuzhanin , Atılım Güneş Baydin

We derive a policy gradient theorem for Cumulative Prospect Theory (CPT) objectives in finite-horizon Reinforcement Learning (RL), generalizing the standard policy gradient theorem and encompassing distortion-based risk objectives as…

Machine Learning · Computer Science 2026-02-18 Olivier Lepel , Anas Barakat

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

Computer Science and Game Theory · Computer Science 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod
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