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Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

最优化与控制 · 数学 2024-10-04 Hao Hao , Peter Zhang

We consider the nonparametric robust estimation problem for regression models in continuous time with semi-Markov noises. An adaptive model selection procedure is proposed. Under general moment conditions on the noise distribution a sharp…

统计理论 · 数学 2017-03-28 Vlad Barbu , Slim Beltaif , Serguei Pergamenchtchikov

Our goal is to compute a policy that guarantees improved return over a baseline policy even when the available MDP model is inaccurate. The inaccurate model may be constructed, for example, by system identification techniques when the true…

最优化与控制 · 数学 2015-06-17 Yinlam Chow , Marek Petrik , Mohammad Ghavamzadeh

Robust discrete optimization is a highly active field of research where a plenitude of combinations between decision criteria, uncertainty sets and underlying nominal problems are considered. Usually, a robust problem becomes harder to…

最优化与控制 · 数学 2022-01-14 Marc Goerigk , Mohammad Khosravi

Recently, the predicate detection problem was shown to be in the parallel complexity class NC. In this paper, we give the first work-optimal parallel algorithm to solve the predicate detection problem on a distributed computation with $n$…

分布式、并行与集群计算 · 计算机科学 2020-12-03 Rohan Garg

We study oracle complexity of gradient based methods for stochastic approximation problems. Though in many settings optimal algorithms and tight lower bounds are known for such problems, these optimal algorithms do not achieve the best…

最优化与控制 · 数学 2022-06-20 Jingzhao Zhang , Hongzhou Lin , Subhro Das , Suvrit Sra , Ali Jadbabaie

This paper considers the online machine minimization problem, a basic real time scheduling problem. The setting for this problem consists of n jobs that arrive over time, where each job has a deadline by which it must be completed. The goal…

数据结构与算法 · 计算机科学 2018-01-31 Sungjin Im , Benjamin Moseley , Kirk Pruhs , Clifford Stein

In their seminal paper that initiated the field of algorithmic mechanism design, \citet{NR99} studied the problem of designing strategyproof mechanisms for scheduling jobs on unrelated machines aiming to minimize the makespan. They provided…

计算机科学与博弈论 · 计算机科学 2022-09-12 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

人工智能 · 计算机科学 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

统计方法学 · 统计学 2016-01-15 Florencia Leonardi , Peter Bühlmann

Stochastic Programming is a powerful modeling framework for decision-making under uncertainty. In this work, we tackle two-stage stochastic programs (2SPs), the most widely used class of stochastic programming models. Solving 2SPs exactly…

最优化与控制 · 数学 2022-10-14 Justin Dumouchelle , Rahul Patel , Elias B. Khalil , Merve Bodur

This paper considers the computational hardness of computing expected outcomes and deciding (universal) (positive) almost-sure termination of probabilistic programs. It is shown that computing lower and upper bounds of expected outcomes is…

计算机科学中的逻辑 · 计算机科学 2015-06-08 Benjamin Lucien Kaminski , Joost-Pieter Katoen

We present new algorithms for computing many faces in arrangements of lines and segments. Given a set $S$ of $n$ lines (resp., segments) and a set $P$ of $m$ points in the plane, the problem is to compute the faces of the arrangements of…

计算几何 · 计算机科学 2021-10-19 Haitao Wang

Large Language Models (LLMs) achieve impressive accuracy on mathematical reasoning benchmarks, yet their performance drops when problems are modified with simple changes like different names or numbers. Code execution methods, which let…

人工智能 · 计算机科学 2026-05-27 Matthew Kutakh

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

形式语言与自动机理论 · 计算机科学 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

系统与控制 · 电气工程与系统科学 2023-05-29 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least model of a definite program is computed by…

人工智能 · 计算机科学 2018-11-29 Chiaki Sakama , Hien D. Nguyen , Taisuke Sato , Katsumi Inoue

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

Population protocols are a model of distributed computing, in which $n$ agents with limited local state interact randomly, and cooperate to collectively compute global predicates. An extensive series of papers, across different communities,…

分布式、并行与集群计算 · 计算机科学 2017-07-17 Dan Alistarh , James Aspnes , Rati Gelashvili

We consider the hardness of approximation of optimization problems from the point of view of definability. For many NP-hard optimization problems it is known that, unless P = NP, no polynomial-time algorithm can give an approximate solution…

计算机科学中的逻辑 · 计算机科学 2019-08-30 Albert Atserias , Anuj Dawar
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