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Sequential decision tasks with incomplete information are characterized by the exploration problem; namely the trade-off between further exploration for learning more about the environment and immediate exploitation of the accrued…

人工智能 · 计算机科学 2013-02-21 Grigoris I. Karakoulas

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

最优化与控制 · 数学 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

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 the classic problem in which a Searcher must locate a hidden point, also called the Hider in a network, starting from a root point. The network may be either bounded or unbounded, thus generalizing well-known settings such as…

最优化与控制 · 数学 2019-08-07 Spyros Angelopoulos , Thomas Lidbetter

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

人工智能 · 计算机科学 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

In each step of the $p$-processor cup game on $n$ cups, a filler distributes up to $p$ units of water among the cups, subject only to the constraint that no cup receives more than $1$ unit of water; an emptier then removes up to $1$ unit of…

数据结构与算法 · 计算机科学 2019-10-31 William Kuszmaul

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

社会与信息网络 · 计算机科学 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

This article studies the Minimum Spanning Tree Problem under Explorable Uncertainty as well as a related vertex uncertainty version of the problem. We particularly consider special instance types, including cactus graphs, for which we…

数据结构与算法 · 计算机科学 2022-11-29 Corinna Mathwieser , Eranda Cela

Ranking and selection (R&S) aims to select the best alternative with the largest mean performance from a finite set of alternatives. Recently, considerable attention has turned towards the large-scale R&S problem which involves a large…

统计方法学 · 统计学 2025-09-09 Zaile Li , Weiwei Fan , L. Jeff Hong

Information theory has explained the organization of many biological phenomena, from the physiology of sensory receptive fields to the variability of certain DNA sequence ensembles. Some scholars have proposed that information should…

其他定量生物学 · 定量生物学 2010-10-25 Edward K. Agarwala , Hillel J. Chiel , Peter J. Thomas

We study countably infinite stochastic 2-player games with reachability objectives. Our results provide a complete picture of the memory requirements of $\varepsilon$-optimal (resp. optimal) strategies. These results depend on the size of…

计算机科学与博弈论 · 计算机科学 2024-07-03 Stefan Kiefer , Richard Mayr , Mahsa Shirmohammadi , Patrick Totzke

Taking into account future risk is essential for an autonomously operating robot to find online not only the best but also a safe action to execute. In this paper, we build upon the recently introduced formulation of probabilistic…

人工智能 · 计算机科学 2024-11-12 Andrey Zhitnikov , Vadim Indelman

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

We consider the problem of finding an incremental solution to a cardinality-constrained maximization problem that not only captures the solution for a fixed cardinality, but also describes how to gradually grow the solution as the…

数据结构与算法 · 计算机科学 2023-05-03 Yann Disser , Max Klimm , Kevin Schewior , David Weckbecker

We consider a decision network on an undirected graph in which each node corresponds to a decision variable, and each node and edge of the graph is associated with a reward function whose value depends only on the variables of the…

概率论 · 数学 2009-12-03 David Gamarnik , David Goldberg , Theophane Weber

Speculative sampling (SpS) has been successful in accelerating the decoding throughput of auto-regressive large language models by leveraging smaller draft models. SpS strictly enforces the generated distribution to match that of the…

机器学习 · 计算机科学 2026-04-08 Yongchang Hao , Lili Mou

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

最优化与控制 · 数学 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

人工智能 · 计算机科学 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

We consider caching in cellular networks in which each base station is equipped with a cache that can store a limited number of files. The popularity of the files is known and the goal is to place files in the caches such that the…

网络与互联网体系结构 · 计算机科学 2017-11-27 Konstantin Avrachenkov , Jasper Goseling , Berksan Serbetci

We consider single-sink network flow problems. An instance consists of a capacitated graph (directed or undirected), a sink node $t$ and a set of demands that we want to send to the sink. Here demand $i$ is located at a node $s_i$ and…

数据结构与算法 · 计算机科学 2015-05-18 F. Bruce Shepherd , Adrian Vetta