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This article studies the problem of online non-parametric change point detection in multivariate data streams. We approach the problem through the lens of kernel-based two-sample testing and introduce a sequential testing procedure based on…

Machine Learning · Statistics 2025-10-31 Florian Kalinke , Shakeel Gavioli-Akilagun

We study a twist on the classic secretary problem, which we term the secretary ranking problem: elements from an ordered set arrive in random order and instead of picking the maximum element, the algorithm is asked to assign a rank, or…

Data Structures and Algorithms · Computer Science 2018-11-16 Sepehr Assadi , Eric Balkanski , Renato Paes Leme

Given a source of iid samples of edges of an input graph $G$ with $n$ vertices and $m$ edges, how many samples does one need to compute a constant factor approximation to the maximum matching size in $G$? Moreover, is it possible to obtain…

Data Structures and Algorithms · Computer Science 2019-07-15 Michael Kapralov , Slobodan Mitrović , Ashkan Norouzi-Fard , Jakab Tardos

Inspired by real-world applications such as the assignment of pupils to schools or the allocation of social housing, the one-sided matching problem studies how a set of agents can be assigned to a set of objects when the agents have…

Data Structures and Algorithms · Computer Science 2023-06-26 Tom Demeulemeester , Dries Goossens , Ben Hermans , Roel Leus

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

Data Structures and Algorithms · Computer Science 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

The influence maximization paradigm has been used by researchers in various fields in order to study how information spreads in social networks. While previously the attention was mostly on efficiency, more recently fairness issues have…

Social and Information Networks · Computer Science 2021-11-10 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi , Hugo Gilbert

Proportional apportionment is the problem of assigning seats to parties according to their relative share of votes. Divisor methods are the de-facto standard solution, used in many countries. In recent literature, there are two algorithms…

Data Structures and Algorithms · Computer Science 2017-12-06 Raphael Reitzig , Sebastian Wild

We investigate a graph probing problem in which an agent has only an incomplete view $G' \subsetneq G$ of the network and wishes to explore the network with least effort. In each step, the agent selects a node $u$ in $G'$ to probe. After…

Social and Information Networks · Computer Science 2017-02-07 Tri P. Nguyen , Hung T. Nguyen , Thang N. Dinh

In the covering version of the pinwheel scheduling problem, a daily task must be assigned to agents under the constraint that agent $i$ can perform the task at most once in any $a_i$-day interval. In this paper, we determine the optimal…

Discrete Mathematics · Computer Science 2025-11-19 Akitoshi Kawamura , Yusuke Kobayashi

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…

Data Structures and Algorithms · Computer Science 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

In a matroid secretary problem, one is presented with a sequence of objects of various weights in a random order, and must choose irrevocably to accept or reject each item. There is a further constraint that the set of items selected must…

Computer Science and Game Theory · Computer Science 2013-01-22 David Harris , Manish Purohit

Computer-based testing is an expanding use of technology offering advantages to teachers and students. We studied Calculus II classes for STEM majors using different testing modes. Three sections with 324 students employed: Paper-and-pencil…

History and Overview · Mathematics 2020-05-13 Lawrence Smolinsky , Brian D. Marx , Gestur Olafsson , Yanxia A. Ma

We consider the prophet inequality problem for (not necessarily bipartite) matching problems with independent edge values, under both edge arrivals and vertex arrivals. We show constant-factor prophet inequalities for the case where the…

Data Structures and Algorithms · Computer Science 2021-08-03 Paul Dütting , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We study distribution testing without direct access to a source of relevant data, but rather to one where only a tiny fraction is relevant. To enable this, we introduce the following verification query model. The goal is to perform a…

Data Structures and Algorithms · Computer Science 2025-09-23 Hadley Black , Christopher Ye

We consider the best-choice problem for independent (not necessarily iid) observations $X_1, \cdots, X_n$ with the aim of selecting the sample minimum. We show that in this full generality the monotone case of optimal stopping holds and the…

Probability · Mathematics 2021-10-13 Alexander Gnedin , Patryk Kozieł , Małgorzata Sulkowska

Prophet inequalities are a cornerstone in optimal stopping and online decision-making. Traditionally, they involve the sequential observation of $n$ non-negative independent random variables and face irrevocable accept-or-reject choices.…

Computer Science and Game Theory · Computer Science 2024-08-22 Sebastian Perez-Salazar , Victor Verdugo

Estimating the density of a distribution from its samples is a fundamental problem in statistics. Hypothesis selection addresses the setting where, in addition to a sample set, we are given $n$ candidate distributions -- referred to as…

Data Structures and Algorithms · Computer Science 2025-10-23 Maryam Aliakbarpour , Zhan Shi , Ria Stevens , Vincent X. Wang

Dealing with distribution shifts is one of the central challenges for modern machine learning. One fundamental situation is the covariate shift, where the input distributions of data change from training to testing stages while the…

Machine Learning · Computer Science 2024-05-28 Yu-Jie Zhang , Zhen-Yu Zhang , Peng Zhao , Masashi Sugiyama

How to efficiently perform network tomography is a fundamental problem in network management and monitoring. A network tomography task usually consists of applying multiple probing experiments, e.g., across different paths or via different…

Networking and Internet Architecture · Computer Science 2025-10-22 Xuchuang Wang , Yu-Zhen Janice Chen , Matheus Guedes de Andrade , Mohammad Hajiesmaili , John C. S. Lui , Ting He , Don Towsley

Let us call a sequence of numbers heapable if they can be sequentially inserted to form a binary tree with the heap property, where each insertion subsequent to the first occurs at a leaf of the tree, i.e. below a previously placed number.…

Data Structures and Algorithms · Computer Science 2010-07-15 John Byers , Brent Heeringa , Michael Mitzenmacher , Georgios Zervas
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