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We develop and analyze algorithms for instrumental variable regression by viewing the problem as a conditional stochastic optimization problem. In the context of least-squares instrumental variable regression, our algorithms neither require…

机器学习 · 统计学 2024-05-31 Xuxing Chen , Abhishek Roy , Yifan Hu , Krishnakumar Balasubramanian

The significant presence of demand charges in electric bills motivates large-load customers to utilize energy storage to reduce the peak procurement from the grid. We herein study the problem of energy storage allocation for peak…

数据结构与算法 · 计算机科学 2022-09-20 Yanfang Mo , Qiulin Lin , Minghua Chen , Si-Zhao Joe Qin

This study develops an online predictive optimization framework for dynamically operating a transit service in an area of crowd movements. The proposed framework integrates demand prediction and supply optimization to periodically redesign…

机器学习 · 统计学 2020-02-25 Inon Peled , Kelvin Lee , Yu Jiang , Justin Dauwels , Francisco C. Pereira

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

机器学习 · 计算机科学 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

数据结构与算法 · 计算机科学 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

We propose a novel algorithm for online resource allocation with non-stationary customer arrivals and unknown click-through rates. We assume multiple types of customers arrive in a nonstationary stochastic fashion, with unknown arrival…

机器学习 · 计算机科学 2024-06-04 Xiaoyue Zhang , Hanzhang Qin , Mabel C. Chou

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

数据结构与算法 · 计算机科学 2020-06-11 Martin Olsen , Allan Gross

This article provides convergence analysis of online stochastic gradient descent algorithms for functional linear models. Adopting the characterizations of the slope function regularity, the kernel space capacity, and the capacity of the…

机器学习 · 统计学 2022-09-27 Xin Guo , Zheng-Chu Guo , Lei Shi

We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns. This can be recast as a specific stochastic optimization…

机器学习 · 统计学 2020-01-17 Xavier Fontaine , Shie Mannor , Vianney Perchet

This paper considers a time-varying optimization problem associated with a network of systems, with each of the systems shared by (and affecting) a number of individuals. The objective is to minimize cost functions associated with the…

最优化与控制 · 数学 2022-03-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

The online randomized primal-dual method has widespread applications in online algorithm design and analysis. A key challenge is identifying an appropriate function space, $F$, in which we search for an optimal updating function $f \in F$…

数据结构与算法 · 计算机科学 2025-12-16 Pan Xu

In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is…

最优化与控制 · 数学 2021-11-30 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

最优化与控制 · 数学 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

This paper investigates the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a lot of applications in many areas, such as wireless sensor…

最优化与控制 · 数学 2020-07-14 Xiuxian Li , Xinlei Yi , Lihua Xie

This paper establishes performance guarantees for online algorithms that schedule stochastic, nonpreemptive jobs on unrelated machines to minimize the expected total weighted completion time. Prior work on unrelated machine scheduling with…

数据结构与算法 · 计算机科学 2020-05-14 Varun Gupta , Benjamin Moseley , Marc Uetz , Qiaomin Xie

Reinforcement Learning (RL) has achieved state-of-the-art results in domains such as robotics and games. We build on this previous work by applying RL algorithms to a selection of canonical online stochastic optimization problems with a…

We study a type of Online Linear Programming (OLP) problem that maximizes the objective function with stochastic inputs. The performance of various algorithms that analyze this type of OLP is well studied when the stochastic inputs follow…

最优化与控制 · 数学 2022-10-04 Owen Shen

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

This paper proposes a new formulation for the dynamic resource allocation problem, which converts the traditional MDP model with known parameters and no capacity constraints to a new model with uncertain parameters and a resource capacity…

最优化与控制 · 数学 2020-11-10 Onur Demiray , Evrim Didem Güneş , Lerzan Örmeci

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-05-21 Jiashuo Jiang