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Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

人工智能 · 计算机科学 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

We continue the study of selection and sorting of $n$ numbers under the adversarial comparator model, where comparisons can be adversarially tampered with if the arguments are sufficiently close. We derive a randomized sorting algorithm…

数据结构与算法 · 计算机科学 2025-09-09 Chris Trevisan

We provide a polynomial algorithm to find the value and an optimal strategy for a generalization of the Pig game. Modeled as a competitive Markov decision process, the corresponding Bellman equations can be decoupled leading to systems of…

概率论 · 数学 2018-08-22 Fabián Crocce , Ernesto Mordecki

Sorting is one of the fundamental problems in computer science. Playing a role in many processes, it has a lower complexity bound imposed by $\mathcal{O}(n\log{n})$ when executing on a sequential machine. This limit can be brought down to…

硬件体系结构 · 计算机科学 2025-07-23 Daniel Bascones , Borja Morcillo

A common goal in observational research is to estimate marginal causal effects in the presence of confounding variables. One solution to this problem is to use the covariate distribution to weight the outcomes such that the data appear…

统计方法学 · 统计学 2020-08-18 Kevin P. Josey , Elizabeth Juarez-Colunga , Fan Yang , Debashis Ghosh

Using non-linear difference equations, combined with symbolic computations, we make a detailed study of the running times of numerous variants of the celebrated Quicksort algorithms, where we consider the variants of single-pivot and…

数据结构与算法 · 计算机科学 2020-02-27 Yukun Yao

A new algorithm, Guidesort, for sorting in the uniprocessor variant of the parallel disk model (PDM) of Vitter and Shriver is presented. The algorithm is deterministic and executes a number of (parallel) I/O operations that comes within a…

数据结构与算法 · 计算机科学 2019-02-18 Torben Hagerup

We consider the problem of sorting $n$ elements subject to persistent random comparison errors. In this problem, each comparison between two elements can be wrong with some fixed (small) probability $p$, and comparing the same pair of…

数据结构与算法 · 计算机科学 2025-08-28 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna

The rise of algorithmic decision-making has created an explosion of research around the fairness of those algorithms. While there are many compelling notions of individual fairness, beginning with the work of Dwork et al., these notions…

数据结构与算法 · 计算机科学 2022-10-07 Konstantina Bairaktari , Huy Le Nguyen , Jonathan Ullman

TimSort is a well-established sorting algorithm whose running time depends on how sorted the input already is. Recently, Eppstein, Goodrich, Illickan, and To designed algorithms inspired by TimSort for Pareto front, planar convex hull, and…

计算几何 · 计算机科学 2025-12-09 Ivor van der Hoog , Eva Rotenberg , Daniel Rutschmann

We study the following metric distortion problem: there are two finite sets of points, $V$ and $C$, that lie in the same metric space, and our goal is to choose a point in $C$ whose total distance from the points in $V$ is as small as…

计算机科学与博弈论 · 计算机科学 2020-09-08 Vasilis Gkatzelis , Daniel Halpern , Nisarg Shah

While SGD, which samples from the data with replacement is widely studied in theory, a variant called Random Reshuffling (RR) is more common in practice. RR iterates through random permutations of the dataset and has been shown to converge…

机器学习 · 计算机科学 2022-02-07 Amirkeivan Mohtashami , Sebastian Stich , Martin Jaggi

One of the key difficulties in using estimation-of-distribution algorithms is choosing the population size(s) appropriately: Too small values lead to genetic drift, which can cause enormous difficulties. In the regime with no genetic drift,…

神经与进化计算 · 计算机科学 2023-09-11 Benjamin Doerr , Weijie Zheng

We consider the problem of finding a low-cost allocation and ordering of tasks between a team of robots in a d-dimensional, uncertain, landscape, and the sensitivity of this solution to changes in the cost function. Various algorithms have…

最优化与控制 · 数学 2023-06-29 Katie Clinch , Tony A. Wood , Chris Manzie

We study the problem of circular seriation, where we are given a matrix of pairwise dissimilarities between $n$ objects, and the goal is to find a {\em circular order} of the objects in a manner that is consistent with their dissimilarity.…

数据结构与算法 · 计算机科学 2021-06-11 Santiago Armstrong , Cristóbal Guzmán , Carlos A. Sing-Long

We propose an algorithm named best-scored random forest for binary classification problems. The terminology "best-scored" means to select the one with the best empirical performance out of a certain number of purely random tree candidates…

机器学习 · 统计学 2019-05-28 Hanyuan Hang , Xiaoyu Liu , Ingo Steinwart

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

数据结构与算法 · 计算机科学 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

A challenge in fair algorithm design is that, while there are compelling notions of individual fairness, these notions typically do not satisfy desirable composition properties, and downstream applications based on fair classifiers might…

数据结构与算法 · 计算机科学 2022-04-07 Konstantina Bairaktari , Paul Langton , Huy L. Nguyen , Niklas Smedemark-Margulies , Jonathan Ullman

This paper introduces a new comparison base stable sorting algorithm, named RS sort. RS Sort involves only the comparison of pair of elements in an array which ultimately sorts the array and does not involve the comparison of each element…

数据结构与算法 · 计算机科学 2014-07-23 Harsh Ranjan , Sumit Agarwal , Niraj Kumar Singh

We study maximum selection and sorting of $n$ numbers using pairwise comparators that output the larger of their two inputs if the inputs are more than a given threshold apart, and output an adversarially-chosen input otherwise. We consider…

数据结构与算法 · 计算机科学 2016-06-10 Jayadev Acharya , Moein Falahatgar , Ashkan Jafarpour , Alon Orlitsky , Ananda Theertha Suresh