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Discrete-time input/output models, also called infinite impulse response (IIR) models or autoregressive moving average (ARMA) models, are useful for online identification as they can be efficiently updated using recursive least squares…

系统与控制 · 电气工程与系统科学 2024-04-18 Brian Lai , Dennis S. Bernstein

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

人工智能 · 计算机科学 2014-11-17 R. A Helzerman , M. P. Harper

In optimization or machine learning problems we are given a set of items, usually points in some metric space, and the goal is to minimize or maximize an objective function over some space of candidate solutions. For example, in clustering…

机器学习 · 计算机科学 2020-11-19 Dan Feldman

Boolean Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

计算机科学中的逻辑 · 计算机科学 2014-02-17 Joao Marques-Silva , Mikolas Janota

We study the online variant of the Min-Sum Set Cover (MSSC) problem, a generalization of the well-known list update problem. In the MSSC problem, an algorithm has to maintain the time-varying permutation of the list of $n$ elements, and…

数据结构与算法 · 计算机科学 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize the value of the ranking? These applications exhibit strong diminishing returns: Redundancy…

机器学习 · 计算机科学 2014-07-07 Daniel Golovin , Andreas Krause , Matthew Streeter

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

最优化与控制 · 数学 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a representative solution from it, and finally obtain a solution…

数据结构与算法 · 计算机科学 2015-06-23 Vahab Mirrokni , Morteza Zadimoghaddam

In large-scale data processing scenarios, data often arrive in sequential streams generated by complex systems that exhibit drifting distributions and time-varying system parameters. This nonstationarity challenges theoretical analysis, as…

机器学习 · 计算机科学 2026-02-13 Yifei Jin , Xin Zheng , Lei Guo

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

最优化与控制 · 数学 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

An algorithm for extracting identity submatrices of small rank and pivotal units from large and sparse matrices is proposed. The procedure has already been satisfactorily applied for solving the label switching problem in Bayesian mixture…

统计计算 · 统计学 2016-11-04 Leonardo Egidi , Roberta Pappadà , Francesco Pauli , Nicola Torelli

In the classical non-adaptive group testing setup, pools of items are tested together, and the main goal of a recovery algorithm is to identify the "complete defective set" given the outcomes of different group tests. In contrast, the main…

信息论 · 计算机科学 2016-03-01 Abhay Sharma , Chandra R. Murthy

Constrained submodular function maximization has been used in subset selection problems such as selection of most informative sensor locations. While these models have been quite popular, the solutions Constrained submodular function…

数据结构与算法 · 计算机科学 2020-10-15 Alfredo Torrico , Mohit Singh , Sebastian Pokutta , Nika Haghtalab , Joseph , Naor , Nima Anari

We study an online mixed discrete and continuous optimization problem where a decision maker interacts with an unknown environment for a number of $T$ rounds. At each round, the decision maker needs to first jointly choose a discrete and a…

最优化与控制 · 数学 2024-08-27 Lintao Ye , Ming Chi , Zhi-Wei Liu , Xiaoling Wang , Vijay Gupta

We present a new algorithm for determining the satisfiability of conjunctions of non-linear polynomial constraints over the reals, which can be used as a theory solver for satisfiability modulo theory (SMT) solving for non-linear real…

符号计算 · 计算机科学 2021-06-17 Erika Ábrahám , James H. Davenport , Matthew England , Gereon Kremer

In many security and healthcare systems, the detection and diagnosis systems use a sequence of sensors/tests. Each test outputs a prediction of the latent state and carries an inherent cost. However, the correctness of the predictions…

机器学习 · 计算机科学 2019-03-05 Arun Verma , Manjesh K. Hanawal , Csaba Szepesvári , Venkatesh Saligrama

We present an SMT-based symbolic model checking algorithm for safety verification of recursive programs. The algorithm is modular and analyzes procedures individually. Unlike other SMT-based approaches, it maintains both "over-" and…

计算机科学中的逻辑 · 计算机科学 2014-05-27 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki

We propose a new unbiased estimator for estimating the utility of the optimal stopping problem. The MUSE, short for Multilevel Unbiased Stopping Estimator, constructs the unbiased Multilevel Monte Carlo (MLMC) estimator at every stage of…

统计计算 · 统计学 2022-12-29 Zhengqing Zhou , Guanyang Wang , Jose Blanchet , Peter W. Glynn