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Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

In this paper, we provide a novel algorithm for solving planning and learning problems of Markov decision processes. The proposed algorithm follows a policy iteration-type update by using a rank-one approximation of the transition…

Optimization and Control · Mathematics 2025-10-23 Arman Sharifi Kolarijani , Tolga Ok , Peyman Mohajerin Esfahani , Mohamad Amin Sharif Kolarijani

Random hypothesis sampling lies at the core of many popular robust fitting techniques such as RANSAC. In this paper, we propose a novel hypothesis sampling scheme based on incremental computation of distances between partial rankings…

Computer Vision and Pattern Recognition · Computer Science 2011-06-02 Hoi Sim Wong , Tat-Jun Chin , Jin Yu , David Suter

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 introduce the problem of ranking with slot constraints, which can be used to model a wide range of application problems -- from college admission with limited slots for different majors, to composing a stratified cohort of eligible…

Information Retrieval · Computer Science 2023-10-30 Wentao Guo , Andrew Wang , Bradon Thymes , Thorsten Joachims

In-degree, PageRank, number of visits and other measures of Web page popularity significantly influence the ranking of search results by modern search engines. The assumption is that popularity is closely correlated with quality, a more…

Information Retrieval · Computer Science 2009-09-29 Sandeep Pandey , Sourashis Roy , Christopher Olston , Junghoo Cho , Soumen Chakrabarti

In many real-world applications of machine learning classifiers, it is essential to predict the probability of an example belonging to a particular class. This paper proposes a simple technique for predicting probabilities based on…

Machine Learning · Computer Science 2012-06-22 Aditya Menon , Xiaoqian Jiang , Shankar Vembu , Charles Elkan , Lucila Ohno-Machado

Comparing the top $k$ elements between two or more ranked results is a common task in many contexts and settings. A few measures have been proposed to compare top $k$ lists with attractive mathematical properties, but they face a number of…

Information Theory · Computer Science 2013-10-02 Arun Konagurthu , James Collier

Intervals have been generated in many applications (e.g., temporal databases), and they are often associated with weights, such as prices. This paper addresses the problem of processing top-k weighted stabbing queries on interval data.…

Databases · Computer Science 2024-05-24 Daichi Amagata , Junya Yamada , Yuchen Ji , Takahiro Hara

We study the classical, randomized Ranking algorithm which is known to be $(1 - \frac{1}{e})$-competitive in expectation for the Online Bipartite Matching Problem. We give a tail inequality bound, namely that Ranking is $(1 - \frac{1}{e} -…

Data Structures and Algorithms · Computer Science 2021-12-15 Milena Mihail , Thorben Tröbst

Given an incomplete ratings data over a set of users and items, the preference completion problem aims to estimate a personalized total preference order over a subset of the items. In practical settings, a ranked list of top-$k$ items from…

Social and Information Networks · Computer Science 2019-04-16 Shameem A Puthiya Parambath , Nishant Vijayakumar , Sanjay Chawla

An exponential-time exact algorithm is provided for the task of clustering n items of data into k clusters. Instead of seeking one partition, posterior probabilities are computed for summary statistics: the number of clusters, and pairwise…

Computation · Statistics 2013-10-04 Jukka Kohonen , Jukka Corander

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman

We propose a novel combinatorial inference framework to conduct general uncertainty quantification in ranking problems. We consider the widely adopted Bradley-Terry-Luce (BTL) model, where each item is assigned a positive preference score…

Machine Learning · Statistics 2021-10-04 Yue Liu , Ethan X. Fang , Junwei Lu

Motivated by the mode estimation problem of an unknown multivariate probability density function, we study the problem of identifying the point with the minimum k-th nearest neighbor distance for a given dataset of n points. We study the…

Machine Learning · Statistics 2020-10-27 Anirudh Singhal , Subham Pirojiwala , Nikhil Karamchandani

We consider the problem of ranking $N$ objects starting from a set of noisy pairwise comparisons provided by a crowd of equal workers. We assume that objects are endowed with intrinsic qualities and that the probability with which an object…

Information Retrieval · Computer Science 2020-02-27 Evgenia Christoforou , Alessandro Nordio , Alberto Tarable , Emilio Leonardi

Ranks estimated from data are uncertain and this poses a challenge in many applications. However, estimated ranks are deterministic functions of estimated parameters, so the uncertainty in the ranks must be determined by the uncertainty in…

Methodology · Statistics 2023-06-22 Justin Rising

We consider the problem of ranking $n$ players from partial pairwise comparison data under the Bradley-Terry-Luce model. For the first time in the literature, the minimax rate of this ranking problem is derived with respect to the Kendall's…

Statistics Theory · Mathematics 2021-01-22 Pinhan Chen , Chao Gao , Anderson Y. Zhang

Recent work has proposed stochastic Plackett-Luce (PL) ranking models as a robust choice for optimizing relevance and fairness metrics. Unlike their deterministic counterparts that require heuristic optimization algorithms, PL models are…

Information Retrieval · Computer Science 2021-07-08 Harrie Oosterhuis

We propose RoBiRank, a ranking algorithm that is motivated by observing a close connection between evaluation metrics for learning to rank and loss functions for robust classification. The algorithm shows a very competitive performance on…

Machine Learning · Statistics 2014-08-22 Hyokun Yun , Parameswaran Raman , S. V. N. Vishwanathan
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