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There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

The element distinctness problem takes as input a list $I$ of $n$ values from a totally ordered universe and the goal is to decide whether $I$ contains any duplicates. It is a well-studied problem with a classical worst-case $\Omega(n \log…

Data Structures and Algorithms · Computer Science 2025-11-06 Ivor van der Hoog , Eva Rotenberg , Daniel Rutschmann

We propose Top-N-Rank, a novel family of list-wise Learning-to-Rank models for reliably recommending the N top-ranked items. The proposed models optimize a variant of the widely used discounted cumulative gain (DCG) objective function which…

Information Retrieval · Computer Science 2018-12-20 Junjie Liang , Jinlong Hu , Shoubin Dong , Vasant Honavar

Analogical reasoning depends fundamentally on the ability to learn and generalize about relations between objects. We develop an approach to relational learning which, given a set of pairs of objects…

Methodology · Statistics 2013-08-30 Ricardo Silva , Katherine Heller , Zoubin Ghahramani , Edoardo M. Airoldi

For nonbalanced paired comparisons, a wide variety of ranking methods have been proposed. One of the best popular methods is the Bradley-Terry model in which the ranking of a set of objects is decided by the maximum likelihood estimates…

Methodology · Statistics 2016-11-07 Ting Yan

Given a set of alternatives to be ranked, and some pairwise comparison data, ranking is a least squares computation on a graph. The vertices are the alternatives, and the edge values comprise the comparison data. The basic idea is very…

Numerical Analysis · Computer Science 2011-09-07 Anil N. Hirani , Kaushik Kalyanaraman , Seth Watts

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

This paper concerns the construction of tests for universal hypothesis testing problems, in which the alternate hypothesis is poorly modeled and the observation space is large. The mismatched universal test is a feature-based technique for…

Information Theory · Computer Science 2016-04-18 Dayu Huang , Sean Meyn

We study dynamic $(1-\epsilon)$-approximate rounding of fractional matchings -- a key ingredient in numerous breakthroughs in the dynamic graph algorithms literature. Our first contribution is a surprisingly simple deterministic rounding…

Data Structures and Algorithms · Computer Science 2024-02-26 Sayan Bhattacharya , Peter Kiss , Aaron Sidford , David Wajc

The central problem in this work is to compute a ranking of a set of elements which is "closest to" a given set of input rankings of the elements. We define "closest to" in an established way as having the minimum sum of Kendall-Tau…

Data Structures and Algorithms · Computer Science 2011-08-11 Robert Bredereck

We consider the problem of reconstructing a rank-$k$ $n \times n$ matrix $M$ from a sampling of its entries. Under a certain incoherence assumption on $M$ and for the case when both the rank and the condition number of $M$ are bounded, it…

Machine Learning · Statistics 2017-08-23 David Gamarnik , Quan Li , Hongyi Zhang

We make progress on two important problems regarding attribute efficient learnability. First, we give an algorithm for learning decision lists of length $k$ over $n$ variables using $2^{\tilde{O}(k^{1/3})} \log n$ examples and time…

Machine Learning · Computer Science 2007-05-23 Adam R. Klivans , Rocco A. Servedio

Given a set of data, biclustering aims at finding simultaneous partitions in biclusters of its samples and of the features which are used for representing the samples. Consistent biclusterings allow to obtain correct classifications of the…

Machine Learning · Computer Science 2010-03-18 Antonio Mucherino , Sonia Cafieri

Point patterns are sets or multi-sets of unordered elements that can be found in numerous data sources. However, in data analysis tasks such as classification and novelty detection, appropriate statistical models for point pattern data have…

Machine Learning · Computer Science 2017-02-09 Ba-Ngu Vo , Quang N. Tran , Dinh Phung , Ba-Tuong Vo

\textit{Mallows model} is a widely-used probabilistic framework for learning from ranking data, with applications ranging from recommendation systems and voting to aligning language models with human preferences~\cite{chen2024mallows,…

Machine Learning · Statistics 2025-07-14 Yeganeh Alimohammadi , Kiana Asgari

In Online Learning to Rank (OLTR) the aim is to find an optimal ranking model by interacting with users. When learning from user behavior, systems must interact with users while simultaneously learning from those interactions. Unlike other…

Information Retrieval · Computer Science 2017-11-28 Harrie Oosterhuis , Maarten de Rijke

When building recommendation systems, we seek to output a helpful set of items to the user. Under the hood, a ranking model predicts which of two candidate items is better, and we must distill these pairwise comparisons into the user-facing…

Information Retrieval · Computer Science 2022-07-05 Anastasios N. Angelopoulos , Karl Krauth , Stephen Bates , Yixin Wang , Michael I. Jordan

In this paper, we introduce a novel unsupervised, graph-based filter feature selection technique which exploits the power of topologically constrained network representations. We model dependency structures among features using a family of…

Machine Learning · Computer Science 2023-07-04 Antonio Briola , Tomaso Aste

The problem of relevance ranking consists of sorting a set of objects with respect to a given criterion. Since users may prefer different relevance criteria, the ranking algorithms should be adaptable to the user needs. Two main approaches…

Machine Learning · Computer Science 2023-11-06 Leonardo Rigutini , Tiziano Papini , Marco Maggini , Franco Scarselli

We study the $\ell_0$-Low Rank Approximation Problem, where the goal is, given an $m \times n$ matrix $A$, to output a rank-$k$ matrix $A'$ for which $\|A'-A\|_0$ is minimized. Here, for a matrix $B$, $\|B\|_0$ denotes the number of its…

Data Structures and Algorithms · Computer Science 2018-10-02 Karl Bringmann , Pavel Kolev , David P. Woodruff