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Many web systems rank and present a list of items to users, from recommender systems to search and advertising. An important problem in practice is to evaluate new ranking policies offline and optimize them before they are deployed. We…

Machine Learning · Computer Science 2018-06-15 Shuai Li , Yasin Abbasi-Yadkori , Branislav Kveton , S. Muthukrishnan , Vishwa Vinay , Zheng Wen

The problem of ranking/ordering instances, instead of simply classifying them, has recently gained much attention in machine learning. In this paper we formulate the ranking problem in a rigorous statistical framework. The goal is to learn…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Gábor Lugosi , Nicolas Vayatis

For better or for worse, rankings of institutions, such as universities, schools and hospitals, play an important role today in conveying information about relative performance. They inform policy decisions and budgets, and are often…

Statistics Theory · Mathematics 2010-11-11 Peter Hall , Hugh Miller

Many problems in statistics and machine learning can be formulated as model selection problems, where the goal is to choose an optimal parsimonious model among a set of candidate models. It is typical to conduct model selection by…

Methodology · Statistics 2024-04-29 Qingyuan Zhang , Hien Duy Nguyen

Feature selection is a key step when dealing with high dimensional data. In particular, these techniques simplify the process of knowledge discovery from the data by selecting the most relevant features out of the noisy, redundant and…

Machine Learning · Computer Science 2024-02-09 Alaiz-Rodriguez , R. , Parnell , A. C

Mutual information has been successfully adopted in filter feature-selection methods to assess both the relevancy of a subset of features in predicting the target variable and the redundancy with respect to other variables. However,…

Machine Learning · Computer Science 2019-07-18 Mario Beraha , Alberto Maria Metelli , Matteo Papini , Andrea Tirinzoni , Marcello Restelli

This paper considers ranking inference of $n$ items based on the observed data on the top choice among $M$ randomly selected items at each trial. This is a useful modification of the Plackett-Luce model for $M$-way ranking with only the top…

Methodology · Statistics 2023-01-09 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

Decision-making often involves ranking and selection. For example, to assemble a team of political forecasters, we might begin by narrowing our choice set to the candidates we are confident rank among the top 10% in forecasting ability.…

Methodology · Statistics 2022-08-04 Dillon Bowen

A version of the secretary problem is considered. The ranks of items, whose values are independent, identically distributed random variables $X_1,X_2,...,X_n$ from a uniform distribution on $[0; 1]$, are observed sequentially by the grader.…

Optimization and Control · Mathematics 2020-11-23 Krzysztof Szajowski

Ranking functions that are used in decision systems often produce disparate results for different populations because of bias in the underlying data. Addressing, and compensating for, these disparate outcomes is a critical problem for fair…

Machine Learning · Computer Science 2024-04-23 Abraham Gale , Amélie Marian

Abstaining classifiers have the option to abstain from making predictions on inputs that they are unsure about. These classifiers are becoming increasingly popular in high-stakes decision-making problems, as they can withhold uncertain…

Machine Learning · Statistics 2023-11-10 Yo Joong Choe , Aditya Gangrade , Aaditya Ramdas

We consider a generalization of an important class of high-dimensional inference problems, namely spiked symmetric matrix models, often used as probabilistic models for principal component analysis. Such paradigmatic models have recently…

Information Theory · Computer Science 2020-05-19 Jean Barbier , Galen Reeves

Selective classifiers improve model reliability by abstaining on inputs the model deems uncertain. However, few practical approaches achieve the gold-standard performance of a perfect-ordering oracle that accepts examples exactly in order…

Machine Learning · Computer Science 2025-10-27 Stephan Rabanser , Nicolas Papernot

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

Matrices with low-rank structure are ubiquitous in scientific computing. Choosing an appropriate rank is a key step in many computational algorithms that exploit low-rank structure. However, estimating the rank has been done largely in an…

Numerical Analysis · Mathematics 2024-01-08 Maike Meier , Yuji Nakatsukasa

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data from which it was created. There are many indices used for…

Discrete Mathematics · Computer Science 2020-01-28 Konrad Kułakowski , Dawid Talaga

As the final stage of recommender systems, re-ranking presents ordered item lists to users that best match their interests. It plays such a critical role and has become a trending research topic with much attention from both academia and…

Information Retrieval · Computer Science 2025-04-08 Qunwei Li , Linghui Li , Jianbin Lin , Wenliang Zhong

The comparison of benchmark error sets is an essential tool for the evaluation of theories in computational chemistry. The standard ranking of methods by their Mean Unsigned Error is unsatisfactory for several reasons linked to the…

Methodology · Statistics 2020-09-29 Pascal Pernot , Andreas Savin

A central question in random matrix theory is universality. When an emergent phenomena is observed from a large collection of chosen random variables it is natural to ask if this behavior is specific to the chosen random variable or if the…

Probability · Mathematics 2021-01-13 Jake Koenig , Hoi Nguyen

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained…

Machine Learning · Computer Science 2007-05-23 Kagan Tumer , Joydeep Ghosh
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