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In this paper, we develop a simple and fast online algorithm for solving a class of binary integer linear programs (LPs) arisen in general resource allocation problem. The algorithm requires only one single pass through the input data and…

数据结构与算法 · 计算机科学 2020-07-07 Xiaocheng Li , Chunlin Sun , Yinyu Ye

This paper proposes an adaptive randomization procedure for two-stage randomized controlled trials. The method uses data from a first-wave experiment in order to determine how to stratify in a second wave of the experiment, where the…

计量经济学 · 经济学 2022-07-06 Max Tabord-Meehan

Given $n$ colored balls, we want to detect if more than $\lfloor n/2\rfloor$ of them have the same color, and if so find one ball with such majority color. We are only allowed to choose two balls and compare their colors, and the goal is to…

数据结构与算法 · 计算机科学 2016-05-02 Paweł Gawrychowski , Jukka Suomela , Przemysław Uznański

In this paper, we study three asymptotic regimes that can be applied to ranking and selection (R&S) problems with general sample distributions. These asymptotic regimes are constructed by sending particular problem parameters (probability…

概率论 · 数学 2017-05-18 Jing Dong , Yi Zhu

Executing various sequences of system functions in a system under test represents one of the primary techniques in software testing. The natural way to create effective, consistent and efficient test sequences is to model the system under…

软件工程 · 计算机科学 2019-12-05 Miroslav Bures , Bestoun S. Ahmed

The aim of this article is to employ the Lazy Set algorithm as an example for a mathematical framework for proving the linearizability of distributed systems. The proof in this approach is divided into two stages of lower and higher…

计算机科学中的逻辑 · 计算机科学 2018-11-05 Uri Abraham

Scientific theories can often be formulated using equality and order constraints on the relative effects in a linear regression model. For example, it may be expected that the effect of the first predictor is larger than the effect of the…

统计方法学 · 统计学 2019-05-01 Joris Mulder , Anton Olsson-Collentine

We consider the classical sequential binary hypothesis testing problem in which there are two hypotheses governed respectively by distributions $P_0$ and $P_1$ and we would like to decide which hypothesis is true using a sequential test. It…

信息论 · 计算机科学 2020-07-01 Yonglong Li , Vincent Y. F. Tan

In an influential article Papadimitriou [FOCS 1991] proved that a local search algorithm called WalkSAT finds a satisfying assignment of a satisfiable 2-CNF with $n$ variables in $O(n^2)$ expected time. Variants of the WalkSAT algorithm…

Among the biggest challenges in property-based testing (PBT) is the constrained random generation problem: given a predicate on program values, randomly sample from the set of all values satisfying that predicate, and only those values.…

We propose a method for arbitrary textual style transfer (TST)--the task of transforming a text into any given style--utilizing general-purpose pre-trained language models. Our method, Prompt-and-Rerank, is based on a mathematical…

计算与语言 · 计算机科学 2022-05-24 Mirac Suzgun , Luke Melas-Kyriazi , Dan Jurafsky

We perform randomized benchmarking on neutral atomic quantum bits (qubits) confined in an optical lattice. Single qubit gates are implemented using microwaves, resulting in a measured error per randomized computational gate of 1.4(1) x…

量子物理 · 物理学 2010-11-16 S. Olmschenk , R. Chicireanu , K. D. Nelson , J. V. Porto

In this paper, we consider sequential testing over a single-sensor, a single-decision center setup. At each time instant $t$, the sensor gets $k$ samples $(k>0)$ and describes the observed sequence until time $t$ to the decision center over…

信息论 · 计算机科学 2021-09-20 Sadaf Salehkalaibar , Vincent Y. F. Tan

In this article we consider a simple step stress set up under the cumulative exposure model assumption. At each stress level the lifetime distribution of the experimental units are assumed to follow the generalized exponential distribution.…

应用统计 · 统计学 2017-07-18 Debashis Samanta , Debasis Kundu , Ayon Ganguly

A common disadvantage in existing distribution-free two-sample testing approaches is that the computational complexity could be high. Specifically, if the sample size is $N$, the computational complexity of those two-sample tests is at…

统计方法学 · 统计学 2017-07-18 Cheng Huang , Xiaoming Huo

Primality generation is the cornerstone of several essential cryptographic systems. The problem has been a subject of deep investigations, but there is still a substantial room for improvements. Typically, the algorithms used have two parts…

密码学与安全 · 计算机科学 2022-03-07 Vassil Dimitrov , Luigi Vigneri , Vidal Attias

In this paper, we combine the operator splitting methodology for abstract evolution equations with that of stochastic methods for large-scale optimization problems. The combination results in a randomized splitting scheme, which in a given…

数值分析 · 数学 2022-10-12 Monika Eisenmann , Tony Stillfjord

A synchronizing word of a deterministic finite complete automaton is a word whose action maps every state to a single one. Finding a shortest or a short synchronizing word is a central computational problem in the theory of synchronizing…

形式语言与自动机理论 · 计算机科学 2022-07-13 Marek Szykuła , Adam Zyzik

The well known snapshot primitive in concurrent programming allows for n-asynchronous processes to write values to an array of single-writer registers and, for each process, to take a snapshot of these registers. In this paper we provide a…

分布式、并行与集群计算 · 计算机科学 2015-02-11 Gal Amram , Lior Mizrahi , Gera Weiss

Pseudorandom values are often generated as 64-bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly-random bounded…

数据结构与算法 · 计算机科学 2025-04-08 Nevin Brackett-Rozinsky , Daniel Lemire