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We propose a novel randomized linear programming algorithm for approximating the optimal policy of the discounted Markov decision problem. By leveraging the value-policy duality and binary-tree data structures, the algorithm adaptively…

最优化与控制 · 数学 2019-06-04 Mengdi Wang

We study the problem of online learning in Stackelberg games with side information between a leader and a sequence of followers. In every round the leader observes contextual information and commits to a mixed strategy, after which the…

We consider offline policy optimization (OPO) in contextual bandits, where one is given a fixed dataset of logged interactions. While pessimistic regularizers are typically used to mitigate distribution shift, prior implementations thereof…

机器学习 · 计算机科学 2023-10-27 Lequn Wang , Akshay Krishnamurthy , Aleksandrs Slivkins

Several well-studied online resource allocation problems can be formulated in terms of infinite, increasing sequences of positive values, in which each element is associated with a corresponding allocation value. Examples include problems…

数据结构与算法 · 计算机科学 2021-11-10 Spyros Angelopoulos , Diogo Arsénio , Shahin Kamali

Latent variable models are an elegant framework for capturing rich probabilistic dependencies in many applications. However, current approaches typically parametrize these models using conditional probability tables, and learning relies…

机器学习 · 计算机科学 2012-10-19 Ankur P. Parikh , Le Song , Mariya Ishteva , Gabi Teodoru , Eric P. Xing

In this paper, we investigate optimization problems with nonnegative and orthogonal constraints, where any feasible matrix of size $n \times p$ exhibits a sparsity pattern such that each row accommodates at most one nonzero entry. Our…

最优化与控制 · 数学 2025-11-06 Lei Wang , Xin Liu , Xiaojun Chen

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

数据结构与算法 · 计算机科学 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

最优化与控制 · 数学 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

In this paper, sparsification techniques aided online prediction algorithms in a reproducing kernel Hilbert space are studied for nonstationary time series. The online prediction algorithms as usual consist of the selection of kernel…

信号处理 · 电气工程与系统科学 2022-05-13 Jinhua Guo , Hao Chen , Jingxin Zhang , Sheng Chen

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

机器学习 · 计算机科学 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

We study an online stochastic matching problem in which an algorithm sequentially matches $U$ users to $K$ arms, aiming to maximize cumulative reward over $T$ rounds under budget constraints. Without structural assumptions, computing the…

机器学习 · 计算机科学 2026-02-11 Omer Ben-Porat , Gur Keinan , Rotem Torkan

We propose a novel algorithm for combined unit and layer pruning of deep neural networks that functions during training and without requiring a pre-trained network to apply. Our algorithm optimally trades-off learning accuracy and pruning…

机器学习 · 计算机科学 2025-07-17 Valentin Frank Ingmar Guenter , Athanasios Sideris

Conformal prediction is a valuable tool for quantifying predictive uncertainty of machine learning models. However, its applicability relies on the assumption of data exchangeability, a condition which is often not met in real-world…

机器学习 · 统计学 2024-12-30 Aleksandr Podkopaev , Darren Xu , Kuang-Chih Lee

We study a theoretical and algorithmic framework for structured prediction in the online learning setting. The problem of structured prediction, i.e. estimating function where the output space lacks a vectorial structure, is well studied in…

机器学习 · 计算机科学 2024-06-19 Pierre Boudart , Alessandro Rudi , Pierre Gaillard

Online bidding is a classic optimization problem, with several applications in online decision-making, the design of interruptible systems, and the analysis of approximation algorithms. In this work, we study online bidding under…

计算机科学与博弈论 · 计算机科学 2025-10-30 Spyros Angelopoulos , Bertrand Simon

We study policy optimization in an infinite horizon, $\gamma$-discounted constrained Markov decision process (CMDP). Our objective is to return a policy that achieves large expected reward with a small constraint violation. We consider the…

机器学习 · 计算机科学 2022-04-12 Arushi Jain , Sharan Vaswani , Reza Babanezhad , Csaba Szepesvari , Doina Precup

We introduce a novel approach to perform first-order optimization with orthogonal and unitary constraints. This approach is based on a parametrization stemming from Lie group theory through the exponential map. The parametrization…

机器学习 · 计算机科学 2019-09-23 Mario Lezcano-Casado , David Martínez-Rubio

We propose a sequential minimal optimization method for quantum-classical hybrid algorithms, which converges faster, is robust against statistical error, and is hyperparameter-free. Specifically, the optimization problem of the…

量子物理 · 物理学 2020-11-04 Ken M. Nakanishi , Keisuke Fujii , Synge Todo

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

数据结构与算法 · 计算机科学 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

Parameter-free stochastic optimization aims to design algorithms that are agnostic to the underlying problem parameters while still achieving convergence rates competitive with optimally tuned methods. While some parameter-free methods do…

机器学习 · 计算机科学 2026-04-21 Yuheng Zhao , Yu-Hu Yan , Amit Attia , Tomer Koren , Lijun Zhang , Peng Zhao