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Subset selection for multiple linear regression aims to construct a regression model that minimizes errors by selecting a small number of explanatory variables. Once a model is built, various statistical tests and diagnostics are conducted…

机器学习 · 统计学 2020-09-04 Seokhyun Chung , Young Woong Park , Taesu Cheong

We introduce and analyse a new, extremely simple, randomised sorting algorithm: - choose a pair of indices $\{i, j\}$ according to some distribution $q$; - sort the elements in positions $i$ and $j$ of the array in ascending order. Choosing…

数据结构与算法 · 计算机科学 2025-02-10 Sam Olesker-Taylor

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

统计方法学 · 统计学 2015-11-12 A. B. Owen , J. Wang

We propose novel algorithms for sequence prediction based on ideas from stringology. These algorithms are time and space efficient and satisfy mistake bounds related to particular stringological complexity measures of the sequence. In this…

形式语言与自动机理论 · 计算机科学 2026-03-31 Vanessa Kosoy

Two-phase sampling is commonly adopted for reducing cost and improving estimation efficiency. In many two-phase studies, the outcome and some cheap covariates are observed for a large sample in Phase I, and expensive covariates are obtained…

统计方法学 · 统计学 2025-10-14 Qingning Zhou , Kin Yau Wong

Randomized algorithms provide solutions to two ubiquitous problems: (1) the distributed calculation of a principal component analysis or singular value decomposition of a highly rectangular matrix, and (2) the distributed calculation of a…

分布式、并行与集群计算 · 计算机科学 2024-04-09 Huamin Li , Yuval Kluger , Mark Tygert

In this work we propose and analyze a simple randomized algorithm to find a satisfiable assignment for a Boolean formula in conjunctive normal form (CNF) having at most 3 literals in every clause. Given a k-CNF formula phi on n variables,…

数据结构与算法 · 计算机科学 2020-08-11 Subhas Kumar Ghosh , Janardan Misra

In this paper we consider the one-dimensional dynamical evolution of a particle traveling at constant speed and performing, at a given rate, random reversals of the velocity direction. The particle is subject to stochastic resetting,…

统计力学 · 物理学 2021-10-25 Mattia Radice

This paper investigates the issue of determining the dimensions of row and column factor spaces in matrix-valued data. Exploiting the eigen-gap in the spectrum of sample second moment matrices of the data, we propose a family of randomised…

统计方法学 · 统计学 2022-09-29 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

We consider the Top-$K$ selection problem, which aims to identify the largest $K$ elements in an array. Top-$K$ selection arises in many machine learning algorithms and often becomes a bottleneck on accelerators, which are optimized for…

机器学习 · 计算机科学 2026-05-14 Yashas Samaga , Varun Yerram , Spandana Raj Babbula , Prateek Jain , Praneeth Netrapalli

Quantum signal processing (QSP) provides a systematic framework for implementing a polynomial transformation of a linear operator, and unifies nearly all known quantum algorithms. In parallel, recent works have developed randomized…

量子物理 · 物理学 2025-03-26 John M. Martyn , Patrick Rall

We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

理论经济学 · 经济学 2026-02-04 Tohya Sugano

We study the design of storage-efficient algorithms for emulating atomic shared memory over an asynchronous, distributed message-passing system. Our first algorithm is an atomic single-writer multi-reader algorithm based on a novel…

分布式、并行与集群计算 · 计算机科学 2018-06-27 Marwen Zorgui , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zhiying Wang

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

分布式、并行与集群计算 · 计算机科学 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg

With the growing availability of experimental loophole-free Bell tests, it has become possible to implement a new class of device-independent random number generators whose output can be certified to be uniformly random without requiring a…

Suppose we observe a Poisson process in real time for which the intensity may take on two possible values $\lambda_0$ and $\lambda_1$. Suppose further that the priori probability of the true intensity is not given. We solve a minimax…

统计理论 · 数学 2025-04-25 Hongwei Mei

In this paper, we introduce a powerful technique based on Leave-one-out analysis to the study of low-rank matrix completion problems. Using this technique, we develop a general approach for obtaining fine-grained, entrywise bounds for…

机器学习 · 统计学 2020-06-18 Lijun Ding , Yudong Chen

In this paper we consider the classic scheduling problem of minimizing total weighted completion time on unrelated machines when jobs have release times, i.e, $R | r_{ij} | \sum_j w_j C_j$ using the three-field notation. For this problem, a…

数据结构与算法 · 计算机科学 2016-06-29 Sungjin Im , Shi Li

A {\em leader election} algorithm is an elimination process that divides recursively into tow subgroups an initial group of n items, eliminates one subgroup and continues the procedure until a subgroup is of size 1. In this paper the biased…

数据结构与算法 · 计算机科学 2007-05-23 Hanene Mohamed

Reinforcement learning (RL) so far has limited real-world applications. One key challenge is that typical RL algorithms heavily rely on a reset mechanism to sample proper initial states; these reset mechanisms, in practice, are expensive to…

机器学习 · 计算机科学 2023-07-25 Hoai-An Nguyen , Ching-An Cheng
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