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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

This work proposes the application of independent component analysis to the problem of ranking different alternatives by considering criteria that are not necessarily statistically independent. In this case, the observed data (the criteria…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Guilherme D. Pelegrina , Leonardo T. Duarte , João M. T. Romano

Feature selection methods are usually evaluated by wrapping specific classifiers and datasets in the evaluation process, resulting very often in unfair comparisons between methods. In this work, we develop a theoretical framework that…

Machine Learning · Statistics 2016-10-11 Cláudia Pascoal , M. Rosário Oliveira , António Pacheco , Rui Valadas

Motivated by applications to goodness of fit testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The…

Statistics Theory · Mathematics 2013-07-24 Hanxiang Peng , Anton Schick

In peer review, reviewers are usually asked to provide scores for the papers. The scores are then used by Area Chairs or Program Chairs in various ways in the decision-making process. The scores are usually elicited in a quantized form to…

Information Retrieval · Computer Science 2022-04-13 Yusha Liu , Yichong Xu , Nihar B. Shah , Aarti Singh

Learning distributed sentence representations remains an interesting problem in the field of Natural Language Processing (NLP). We want to learn a model that approximates the conditional latent space over the representations of a logical…

Computation and Language · Computer Science 2018-03-08 Yikang Shen , Shawn Tan , Chin-Wei Huang , Aaron Courville

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

Given an i.i.d. sample drawn from some probability distribution on a finite set, the best (in the sense of least variance) linear unbiased estimator (BLUE) of the average of any quantity with respect to that distribution is the sample…

Statistics Theory · Mathematics 2025-07-28 Bastiaan J. Braams

There are phenomena that cannot be measured without subjective testing. However, subjective testing is a complex issue with many influencing factors. These interplay to yield either precise or incorrect results. Researchers require a tool…

Multimedia · Computer Science 2020-09-29 Jakub Nawała , Lucjan Janowski , Bogdan Ćmiel , Krzysztof Rusek

Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has…

Information Theory · Computer Science 2018-10-29 Pradeep Kr. Banerjee , Johannes Rauh , Guido Montúfar

A general framework is that the estimators of a distribution are obtained by minimizing a function (the estimating function) and they are assessed through another function (the assessment function). The estimating and assessment functions…

Statistics Theory · Mathematics 2022-01-14 Daniel Commenges , Cécile Proust-Lima , Cécilia Samieri , Benoit Liquet

The conditional mutual information I(X;Y|Z) measures the average information that X and Y contain about each other given Z. This is an important primitive in many learning problems including conditional independence testing, graphical model…

Information Theory · Computer Science 2017-10-16 Arman Rahimzamani , Sreeram Kannan

Rankings and scores are two common data types used by judges to express preferences and/or perceptions of quality in a collection of objects. Numerous models exist to study data of each type separately, but no unified statistical model…

Methodology · Statistics 2022-09-02 Michael Pearce , Elena A. Erosheva

A design-based individual prediction approach is developed based on the expected cross-validation results, given the sampling design and the sample-splitting design for cross-validation. Whether the predictor is selected from an ensemble of…

Machine Learning · Statistics 2023-01-24 Li-Chun Zhang , Danhyang Lee

Over the years, numerous rank estimators for factor models have been proposed in the literature. This article focuses on information criterion-based rank estimators and investigates their consistency in rank selection. The gap conditions…

Statistics Theory · Mathematics 2024-07-30 Toshinari Morimoto , Hung Hung , Su-Yun Huang

We address the rating-inference problem, wherein rather than simply decide whether a review is "thumbs up" or "thumbs down", as in previous sentiment analysis work, one must determine an author's evaluation with respect to a multi-point…

Computation and Language · Computer Science 2007-05-23 Bo Pang , Lillian Lee

To date, most probabilistic reasoning systems have relied on a fixed belief network constructed at design time. The network is used by an application program as a representation of (in)dependencies in the domain. Probabilistic inference…

Artificial Intelligence · Computer Science 2013-03-25 Robert P. Goldman , John S. Breese

We consider estimating the proportion of random variables for two types of composite null hypotheses: (i) the means or medians of the random variables belonging to a non-empty, bounded interval; (ii) the means or medians of the random…

Statistics Theory · Mathematics 2025-03-24 Xiongzhi Chen

Following discussions in 2010 and 2011, scientometric evaluators have increasingly abandoned relative indicators in favor of comparing observed with expected citation ratios. The latter method provides parameters with error values allowing…

Digital Libraries · Computer Science 2018-08-30 Loet Leydesdorff , Tobias Opthof

Many latent (factorized) models have been proposed for recommendation tasks like collaborative filtering and for ranking tasks like document or image retrieval and annotation. Common to all those methods is that during inference the items…

Machine Learning · Computer Science 2012-10-19 Jason Weston , John Blitzer