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In the online (time-series) search problem, a player is presented with a sequence of prices which are revealed in an online manner. In the standard definition of the problem, for each revealed price, the player must decide irrevocably…

数据结构与算法 · 计算机科学 2021-12-06 Spyros Angelopoulos , Shahin Kamali , Dehou Zhang

In the online multiple knapsack problem, an algorithm faces a stream of items, and each item has to be either rejected or stored irrevocably in one of $n$ bins (knapsacks) of equal size. The gain of an~algorithm is equal to the sum of sizes…

数据结构与算法 · 计算机科学 2020-04-29 Marcin Bienkowski , Maciej Pacut , Krzysztof Piecuch

In the context of investment analysis, we formulate an abstract online computing problem called a planning game and develop general tools for solving such a game. We then use the tools to investigate a practical buy-and-hold trading problem…

计算工程、金融与科学 · 计算机科学 2007-05-23 Gen-Huey Chen , Ming-Yang Kao , Yuh-Dauh Lyuu , Hsing-Kuo Wong

We introduce a novel theoretical framework for Return On Investment (ROI) maximization in repeated decision-making. Our setting is motivated by the use case of companies that regularly receive proposals for technological innovations and…

机器学习 · 计算机科学 2021-12-24 Nicolò Cesa-Bianchi , Tommaso Cesari , Yishay Mansour , Vianney Perchet

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

数据结构与算法 · 计算机科学 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

In the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

数据结构与算法 · 计算机科学 2025-06-03 Allan Borodin , Christodoulos Karavasilis

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 consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

数据结构与算法 · 计算机科学 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

机器学习 · 计算机科学 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

投资组合管理 · 定量金融 2009-09-23 Michael J. Neely

We study the problem of estimating the expected reward of the optimal policy in the stochastic disjoint linear bandit setting. We prove that for certain settings it is possible to obtain an accurate estimate of the optimal policy value even…

机器学习 · 计算机科学 2019-12-17 Weihao Kong , Gregory Valiant , Emma Brunskill

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

计算机科学与博弈论 · 计算机科学 2021-11-16 Yasushi Kawase , Hanna Sumita

We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

数据结构与算法 · 计算机科学 2007-06-06 Béla Csaba , András S. Pluhár

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

计算机科学与博弈论 · 计算机科学 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

Given a sequence of independent random variables with a common continuous distribution, we consider the online decision problem where one seeks to minimize the expected value of the time that is needed to complete the selection of a…

概率论 · 数学 2016-09-05 Alessandro Arlotto , Elchanan Mossel , J. Michael Steele

We consider the fundamental problem of selecting $k$ out of $n$ random variables in a way that the expected highest or second-highest value is maximized. This question captures several applications where we have uncertainty about the…

计算机科学与博弈论 · 计算机科学 2020-12-16 Aranyak Mehta , Uri Nadav , Alexandros Psomas , Aviad Rubinstein

Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

数据结构与算法 · 计算机科学 2023-06-07 Mingchen Ma , Christos Tzamos

This paper aims to motivate stochastic optimization problems from a statistical perspective and a statistical learning perspective, where the goal is to maximize the log-likelihood or minimize the population risk. We briefly describe the…

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

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

理论经济学 · 经济学 2020-12-07 Soham R. Phade , Venkat Anantharam
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