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A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a single forkstack, or dually, which permutations of a fixed input…

离散数学 · 计算机科学 2007-05-23 M. H. Albert , M. D. Atkinson

We study different online optimization problems in the random-order model. There is a finite set of bins with known capacity and a finite set of items arriving in a random order. Upon arrival of an item, its size and its value for each of…

数据结构与算法 · 计算机科学 2025-04-03 Max Klimm , Martin Knaack

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

机器学习 · 计算机科学 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

统计方法学 · 统计学 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

While modern general-purpose computing systems have ample amounts of memory, it is still the case that embedded computer systems, such as in a refrigerator, are memory limited; hence, such embedded systems motivate the need for strictly…

数据结构与算法 · 计算机科学 2026-03-09 Ofek Gila , Michael T. Goodrich , Vinesh Sridhar

Shepherding involves herding a swarm of agents (\emph{sheep}) by another a control agent (\emph{sheepdog}) towards a goal. Multiple approaches have been documented in the literature to model this behaviour. In this paper, we present a…

机器人学 · 计算机科学 2020-08-31 Saber Elsayed , Hemant Singh , Essam Debie , Anthony Perry , Benjamin Campbell , Robert Hunjet , Hussein Abbass

We study the fair k-set selection problem where we aim to select $k$ sets from a given set system such that the (weighted) occurrence times that each element appears in these $k$ selected sets are balanced, i.e., the maximum (weighted)…

数据结构与算法 · 计算机科学 2025-05-20 Shi Li , Chenyang Xu , Ruilong Zhang

This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit. Based on the well known DSatur algorithm for the classic Coloring…

离散数学 · 计算机科学 2017-10-27 Isabel Méndez-Díaz , Graciela Nasini , Daniel Severin

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

最优化与控制 · 数学 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

Addressing a complex real-world optimization problem is a challenging task. The chance-constrained knapsack problem with correlated uniform weights plays an important role in the case where dependent stochastic components are considered. We…

数据结构与算法 · 计算机科学 2021-02-12 Yue Xie , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Segregation of garbage is a primary concern in many nations across the world. Even though we are in the modern era, many people still do not know how to distinguish between organic and recyclable waste. It is because of this that the world…

计算机视觉与模式识别 · 计算机科学 2022-02-25 Jash Shah , Sagar Kamat

In 2007, Alexander Shapovalov posed an old twist on the classical coin weighing problem by asking for strategies that manage to conceal the identities of specific coins while providing general information on the number of fake coins. In…

组合数学 · 数学 2016-09-26 Tanya Khovanova , Rafael M. Saavedra

In computer science, sorting algorithms are crucial for data processing and machine learning. Large datasets and high efficiency requirements provide challenges for comparison-based algorithms like Quicksort and Merge sort, which achieve…

数据结构与算法 · 计算机科学 2024-10-01 Amin Amini

Stochastic gradient descent (SGD) is the workhorse of modern machine learning. Sometimes, there are many different potential gradient estimators that can be used. When so, choosing the one with the best tradeoff between cost and variance is…

机器学习 · 计算机科学 2020-10-23 Tomas Geffner , Justin Domke

Order picking is the problem of collecting a set of products in a warehouse in a minimum amount of time. It is currently a major bottleneck in supply-chain because of its cost in time and labor force. This article presents two exact and…

数据结构与算法 · 计算机科学 2018-06-05 Lucie Pansart , Nicolas Catusse , Hadrien Cambazard

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

机器学习 · 计算机科学 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

In parallel and distributed environments, generational evolutionary algorithms often do not exploit the full potential of the computation system since they have to wait until the entire population is evaluated before starting selection…

数据结构与算法 · 计算机科学 2018-04-17 Ilya Yakupov , Maxim Buzdalov

We present a general technique for garbage collecting old versions for multiversion concurrency control that simultaneously achieves good time and space complexity. Our technique takes only $O(1)$ time on average to reclaim each version and…

分布式、并行与集群计算 · 计算机科学 2021-12-20 Naama Ben-David , Guy E. Blelloch , Panagiota Fatourou , Eric Ruppert , Yihan Sun , Yuanhao Wei

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

信息检索 · 计算机科学 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Shellsort is a sorting method that is attractive due to its simplicity, yet it takes effort to analyze its efficiency. The heart of the algorithm is the gap sequence chosen a priori and used during sorting. The selection of this gap…

数据结构与算法 · 计算机科学 2023-01-03 Oscar Skean , Richard Ehrenborg , Jerzy W. Jaromczyk