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We study set selection problems where the weights are uncertain. Instead of its exact weight, only an uncertainty interval containing its true weight is available for each element. In some cases, some solutions are universally optimal;…

数据结构与算法 · 计算机科学 2024-04-29 Christoph Dürr , Arturo Merino , José A. Soto , José Verschae

We introduce a search problem generalizing the typical setting of Binary Search on the line. Similar to the setting for Binary Search, a target is chosen adversarially on the line, and in response to a query, the algorithm learns whether…

数据结构与算法 · 计算机科学 2023-03-14 Calvin Leng , David Kempe

Reward-free reinforcement learning (RL) considers the setting where the agent does not have access to a reward function during exploration, but must propose a near-optimal policy for an arbitrary reward function revealed only after…

机器学习 · 计算机科学 2022-06-22 Andrew Wagenmaker , Yifang Chen , Max Simchowitz , Simon S. Du , Kevin Jamieson

In this paper, we study the Markovian Pandora's Box Problem, where decisions are governed by both order constraints and Markovianly correlated rewards, structured within a shared directed acyclic graph. To the best of our knowledge,…

计算机科学与博弈论 · 计算机科学 2025-02-04 Yuanyuan Yang , Ruimin Zhang , Jamie Morgenstern , Haifeng Xu

Safe reinforcement learning aims to learn the optimal policy while satisfying safety constraints, which is essential in real-world applications. However, current algorithms still struggle for efficient policy updates with hard constraint…

机器学习 · 计算机科学 2022-06-20 Linrui Zhang , Li Shen , Long Yang , Shixiang Chen , Bo Yuan , Xueqian Wang , Dacheng Tao

We study the online bin packing problem under two stochastic settings. In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the minimum number of unit-sized bins. First, we study bin packing…

数据结构与算法 · 计算机科学 2025-03-05 Nikhil Ayyadevara , Rajni Dabas , Arindam Khan , K. V. N. Sreenivas

We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

数据结构与算法 · 计算机科学 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae

The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem…

数据结构与算法 · 计算机科学 2015-08-07 Abdolahad Noori Zehmakan

We study algorithms for average-cost reinforcement learning problems with value function approximation. Our starting point is the recently proposed POLITEX algorithm, a version of policy iteration where the policy produced in each iteration…

机器学习 · 计算机科学 2019-08-29 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari , Gellert Weisz

Interdiction problems ask about the worst-case impact of a limited change to an underlying optimization problem. They are a natural way to measure the robustness of a system, or to identify its weakest spots. Interdiction problems have been…

最优化与控制 · 数学 2015-11-10 Stephen R. Chestnut , Rico Zenklusen

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

数据结构与算法 · 计算机科学 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

We present approximation algorithms for maximum independent set of pseudo-disks in the plane, both in the weighted and unweighted cases. For the unweighted case, we prove that a local search algorithm yields a \PTAS. For the weighted case,…

计算几何 · 计算机科学 2011-03-09 Timothy M. Chan , Sariel Har-Peled

Assortment optimization refers to the problem of designing a slate of products to offer potential customers, such as stocking the shelves in a convenience store. The price of each product is fixed in advance, and a probabilistic choice…

计算机科学与博弈论 · 计算机科学 2017-11-09 Nicole Immorlica , Brendan Lucier , Jieming Mao , Vasilis Syrgkanis , Christos Tzamos

We consider a parallel version of a classical Bayesian search problem. $k$ agents are looking for a treasure that is placed in one of the boxes indexed by $\mathbb{N}^+$ according to a known distribution $p$. The aim is to minimize the…

分布式、并行与集群计算 · 计算机科学 2017-05-17 Amos Korman , Yoav Rodeh

Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the…

数据结构与算法 · 计算机科学 2024-03-28 Leszek Gąsieniec , Benjamin Smith , Sebastian Wild

While dynamic policies have historically formed the foundation of most influential papers dedicated to the joint replenishment problem, we are still facing profound gaps in our structural understanding of optimal such policies as well as in…

数据结构与算法 · 计算机科学 2025-06-24 Danny Segev

There has been growing progress on theoretical analyses for provably efficient learning in MDPs with linear function approximation, but much of the existing work has made strong assumptions to enable exploration by conventional exploration…

机器学习 · 计算机科学 2020-10-23 Andrea Zanette , Alessandro Lazaric , Mykel J. Kochenderfer , Emma Brunskill

We consider the problem of allocating a set $I$ of $m$ indivisible resources (items) to a set $P$ of $n$ customers (players) competing for the resources. Each resource $j \in I$ has a same value $v_j > 0$ for a subset of customers…

数据结构与算法 · 计算机科学 2016-10-12 Kamyar Khodamoradi , Ramesh Krishnamurti , Arash Rafiey , Georgios Stamoulis

The Consensus Clustering problem has been introduced as an effective way to analyze the results of different microarray experiments. The problem consists of looking for a partition that best summarizes a set of input partitions (each…

数据结构与算法 · 计算机科学 2009-07-13 Paola Bonizzoni , Gianluca Della Vedova , Riccardo Dondi

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