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Fairness in ranking models is crucial, as disparities in exposure can disproportionately affect protected groups. Most fairness-aware ranking systems focus on ensuring comparable average exposure for groups across the entire ranked list,…

Machine Learning · Computer Science 2025-09-23 Boyang Zhang , Quanqi Hu , Mingxuan Sun , Qihang Lin , Tianbao Yang

In the noisy population recovery problem of Dvir et al., the goal is to learn an unknown distribution $f$ on binary strings of length $n$ from noisy samples. For some parameter $\mu \in [0,1]$, a noisy sample is generated by flipping each…

Computational Complexity · Computer Science 2016-02-25 Anindya De , Michael Saks , Sijian Tang

This paper introduces a scalable approach for probabilistic top-k similarity ranking on uncertain vector data. Each uncertain object is represented by a set of vector instances that are assumed to be mutually-exclusive. The objective is to…

Databases · Computer Science 2009-07-17 Thomas Bernecker , Hans-Peter Kriegel , Nikos Mamoulis , Matthias Renz , Andreas Zuefle

We consider sequential or active ranking of a set of n items based on noisy pairwise comparisons. Items are ranked according to the probability that a given item beats a randomly chosen item, and ranking refers to partitioning the items…

Machine Learning · Computer Science 2016-09-26 Reinhard Heckel , Nihar B. Shah , Kannan Ramchandran , Martin J. Wainwright

Suppose we are given an $n$-dimensional order-3 symmetric tensor $T \in (\mathbb{R}^n)^{\otimes 3}$ that is the sum of $r$ random rank-1 terms. The problem of recovering the rank-1 components is possible in principle when $r \lesssim n^2$…

Computational Complexity · Computer Science 2023-03-28 Alexander S. Wein

We study the problem of clustering ranking vectors, where each vector represents preferences as an ordered list of distinct integers. Specifically, we focus on the k-centroids ranking vectors clustering problem (KRC), which aims to…

Machine Learning · Computer Science 2025-07-18 Ali Fattahi , Ali Eshragh , Babak Aslani , Meysam Rabiee

We study three classical online problems -- $k$-server, $k$-taxi, and chasing size $k$ sets -- through a lens of smoothed analysis. Our setting allows request locations to be adversarial up to small perturbations, interpolating between…

Data Structures and Algorithms · Computer Science 2025-07-25 Christian Coester , Jack Umenberger

We study two generalizations of classic clustering problems called dynamic ordered $k$-median and dynamic $k$-supplier, where the points that need clustering evolve over time, and we are allowed to move the cluster centers between…

Data Structures and Algorithms · Computer Science 2022-07-26 Shichuan Deng , Jian Li , Yuval Rabani

We propose a simple generalization of standard and empirically successful decision tree learning algorithms such as ID3, C4.5, and CART. These algorithms, which have been central to machine learning for decades, are greedy in nature: they…

Machine Learning · Computer Science 2023-10-27 Guy Blanc , Jane Lange , Chirag Pabbaraju , Colin Sullivan , Li-Yang Tan , Mo Tiwari

The population recovery problem is a basic problem in noisy unsupervised learning that has attracted significant research attention in recent years [WY12,DRWY12, MS13, BIMP13, LZ15,DST16]. A number of different variants of this problem have…

Data Structures and Algorithms · Computer Science 2017-03-07 Anindya De , Ryan O'Donnell , Rocco Servedio

We study theta-joins in general and join predicates with conjunctions and disjunctions of inequalities in particular, focusing on ranked enumeration where the answers are returned incrementally in an order dictated by a given ranking…

Databases · Computer Science 2021-08-31 Nikolaos Tziavelis , Wolfgang Gatterbauer , Mirek Riedewald

In the Priority $k$-Center problem, the input consists of a metric space $(X,d)$, an integer $k$, and for each point $v \in X$ a priority radius $r(v)$. The goal is to choose $k$-centers $S \subseteq X$ to minimize $\max_{v \in X}…

Data Structures and Algorithms · Computer Science 2022-12-21 Tanvi Bajpai , Deeparnab Chakrabarty , Chandra Chekuri , Maryam Negahbani

Data summarization aims at utilizing a small-scale summary to represent massive datasets as a whole, which is useful for visualization and information sipped generation. However, most existing studies of hierarchical summarization only work…

Databases · Computer Science 2024-07-22 Yuqi Chen , Xin Huang , Bilian Chen

We first consider the problem of learning $k$-parities in the on-line mistake-bound model: given a hidden vector $x \in \{0,1\}^n$ with $|x|=k$ and a sequence of "questions" $a_1, a_2, ...\in \{0,1\}^n$, where the algorithm must reply to…

Data Structures and Algorithms · Computer Science 2015-02-19 Arnab Bhattacharyya , Ameet Gadekar , Ninad Rajgopal

In parameterized complexity, it is a natural idea to consider different generalizations of classic problems. Usually, such generalization are obtained by introducing a "relaxation" variable, where the original problem corresponds to setting…

Data Structures and Algorithms · Computer Science 2015-04-27 Ariel Gabizon , Daniel Lokshtanov , Michal Pilipczuk

Top-k queries have been studied intensively in the database community and they are an important means to reduce query cost when only the "best" or "most interesting" results are needed instead of the full output. While some optimality…

Databases · Computer Science 2020-05-04 Nikolaos Tziavelis , Wolfgang Gatterbauer , Mirek Riedewald

We consider the problem of choosing the best of $n$ samples, out of a large random pool, when the sampling of each member is associated with a certain cost. The quality (worth) of the best sample clearly increases with $n$, but so do the…

Statistics Theory · Mathematics 2015-06-16 Joseph D. Skufca , Daniel ben-Avraham

In data summarization we want to choose $k$ prototypes in order to summarize a data set. We study a setting where the data set comprises several demographic groups and we are restricted to choose $k_i$ prototypes belonging to group $i$. A…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Pranjal Awasthi , Jamie Morgenstern

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

We define a general variant of the graph clustering problem where the criterion of density for the clusters is (high) connectivity. In {\sc Clustering to Given Connectivities}, we are given an $n$-vertex graph $G$, an integer $k$, and a…

Data Structures and Algorithms · Computer Science 2018-04-23 Petr A. Golovach , Dimitrios M. Thilikos