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We consider online optimization problems with time-varying linear equality constraints. In this framework, an agent makes sequential decisions using only prior information. At every round, the agent suffers an environment-determined loss…

最优化与控制 · 数学 2023-08-01 Jean-Luc Lupien , Antoine Lesage-Landry

We consider the problem of reinforcement learning under safety requirements, in which an agent is trained to complete a given task, typically formalized as the maximization of a reward signal over time, while concurrently avoiding…

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

理论经济学 · 经济学 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

The challenges of black box optimization arise due to imprecise responses and limited output information. This article describes new results on optimizing multivariable functions using an Order Oracle, which provides access only to the…

最优化与控制 · 数学 2024-09-20 Boris Chervonenkis , Andrei Krasnov , Alexander Gasnikov , Aleksandr Lobanov

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

性能 · 计算机科学 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

The navigation problem is classically approached in two steps: an exploration step, where map-information about the environment is gathered; and an exploitation step, where this information is used to navigate efficiently. Deep…

机器人学 · 计算机科学 2019-01-08 Vikas Dhiman , Shurjo Banerjee , Brent Griffin , Jeffrey M Siskind , Jason J Corso

Although well-established in general reinforcement learning (RL), value-based methods are rarely explored in constrained RL (CRL) for their incapability of finding policies that can randomize among multiple actions. To apply value-based…

机器学习 · 计算机科学 2022-06-28 Tianchi Cai , Wenpeng Zhang , Lihong Gu , Xiaodong Zeng , Jinjie Gu

We study online capacitated resource allocation, a natural generalization of online stochastic max-weight bipartite matching. This problem is motivated by ride-sharing and Internet advertising applications, where online arrivals may have…

数据结构与算法 · 计算机科学 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

最优化与控制 · 数学 2019-04-10 Rui Zhang , Quanyan Zhu

This study investigates an optimal consumption--investment problem in which the unobserved stock trend is modulated by a hidden Markov chain that represents different economic regimes. In the classical approach, the hidden state is…

数理金融 · 定量金融 2023-07-21 Kexin Chen , Hoi Ying Wong

We study the problem of minimizing a multivariate polynomial function over the unit hypercube. By representing the polynomial through a hypergraph and exploiting its sparsity structure, we establish a new sufficient condition under which…

最优化与控制 · 数学 2026-04-29 Aida Khajavirad

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

概率论 · 数学 2015-03-17 James Y. Zhao

In this work we study of competitive situations among users of a set of global resources. More precisely we study the effect of cost policies used by these resources in the convergence time to a pure Nash equilibrium. The work is divided in…

计算机科学与博弈论 · 计算机科学 2011-03-28 Vissarion Fisikopoulos

A novel algorithm was recently presented to utilize emerging time dependent probability density data to extract molecular potential energy surfaces. This paper builds on the previous work and seeks to enhance the capabilities of the…

化学物理 · 物理学 2009-11-07 Lukas Kurtz , Herschel Rabitz , Regina de Vivie-Riedle

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

投资组合管理 · 定量金融 2015-10-21 Thomas Lim , Marie-Claire Quenez

Sample selection approaches are popular in robust learning from noisy labels. However, how to properly control the selection process so that deep networks can benefit from the memorization effect is a hard problem. In this paper, motivated…

机器学习 · 计算机科学 2020-09-21 Quanming Yao , Hansi Yang , Bo Han , Gang Niu , James Kwok

We study the policy evaluation problem in an online multi-reward multi-policy discounted setting, where multiple reward functions must be evaluated simultaneously for different policies. We adopt an $(\epsilon,\delta)$-PAC perspective to…

机器学习 · 计算机科学 2025-08-19 Alessio Russo , Aldo Pacchiano

This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

机器学习 · 计算机科学 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

We consider the problem of sampling from a discrete and structured distribution as a sequential decision problem, where the objective is to find a stochastic policy such that objects are sampled at the end of this sequential process…

机器学习 · 计算机科学 2024-05-29 Tristan Deleu , Padideh Nouri , Nikolay Malkin , Doina Precup , Yoshua Bengio

We consider a dynamic assortment selection problem, where in every round the retailer offers a subset (assortment) of $N$ substitutable products to a consumer, who selects one of these products according to a multinomial logit (MNL) choice…

机器学习 · 计算机科学 2018-07-03 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi
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