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A structure called a decision making problem is considered. The set of outcomes (consequences) is partially ordered according to the decision maker's preferences. The problem is how these preferences affect a decision maker to prefer one of…

Category Theory · Mathematics 2007-05-23 Victor V. Rozen , Grigori Zhitomirski

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

Methodology · Statistics 2025-10-08 Rahul Singh , Ori Davidov

The widely used Plackett-Luce ranking model assumes that individuals rank items by making repeated choices from a universe of items. But in many cases the universe is too big for people to plausibly consider all options. In the choice…

Machine Learning · Computer Science 2025-05-09 Ben Aoki-Sherwood , Catherine Bregou , David Liben-Nowell , Kiran Tomlinson , Thomas Zeng

In this paper, we propose an innovative approach to thoroughly explore dataset features that introduce bias in downstream machine-learning tasks. Depending on the data format, we use different techniques to map instances into a similarity…

Machine Learning · Computer Science 2024-11-11 Samira Maghool , Paolo Ceravolo

PageRank and the Bradley-Terry model are competing approaches to ranking entities such as teams in sports tournaments or journals in citation networks. The Bradley-Terry model is a classical statistical method for ranking based on paired…

Methodology · Statistics 2024-02-13 David Antony Selby

We introduce a new model for online ranking in which the click probability factors into an examination and attractiveness function and the attractiveness function is a linear function of a feature vector and an unknown parameter. Only…

Machine Learning · Statistics 2019-05-28 Shuai Li , Tor Lattimore , Csaba Szepesvári

The real-valued Jaccard and coincidence indices, in addition to their conceptual and computational simplicity, have been verified to be able to provide promising results in tasks such as template matching, tending to yield peaks that are…

Machine Learning · Computer Science 2021-11-23 Luciano da F. Costa

The Distributed Cooperative Modeling System (DCMS) solves complex decision problems involving a lot of participants with different viewpoints by network based distributed modeling and multi-template aggregation. This thesis aims at…

Artificial Intelligence · Computer Science 2014-03-04 Menghan Wang

We present an improved library for the ranking problem called RPLIB. RPLIB includes the following data and features. (1) Real and artificial datasets of both pairwise data (i.e., information about the ranking of pairs of items) and feature…

Databases · Computer Science 2022-06-24 Paul E. Anderson , Brandon Tat , Charlie Ward , Amy N. Langville , Kathryn E. Pedings-Behling

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

Motivated by the theory of self-duality which provides a variational formulation and resolution for non self-adjoint partial differential equations \cite{G1, G2}, we propose new templates for solving large non-symmetric linear systems. The…

Numerical Analysis · Mathematics 2008-01-28 Nassif Ghoussoub , Amir Moradifam

Humans inevitably develop a sense of the relationships between objects, some of which are based on their appearance. Some pairs of objects might be seen as being alternatives to each other (such as two pairs of jeans), while others may be…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Julian McAuley , Christopher Targett , Qinfeng Shi , Anton van den Hengel

It is known that there is a duality between the Davey--Stewartson type coupled systems and a class of integrable two--dimensional Toda type lattices. More precisely, the coupled systems are generalized symmetries for the lattices and the…

Exactly Solvable and Integrable Systems · Physics 2024-12-04 I. T. Habibullin , A. R. Khakimova

Topic modeling is a popular method used to describe biological count data. With topic models, the user must specify the number of topics $K$. Since there is no definitive way to choose $K$ and since a true value might not exist, we develop…

Applications · Statistics 2022-03-10 Julia Fukuyama , Kris Sankaran , Laura Symul

Predicting the answer to a product-related question is an emerging field of research that recently attracted a lot of attention. Answering subjective and opinion-based questions is most challenging due to the dependency on…

Computation and Language · Computer Science 2021-05-20 Ohad Rozen , David Carmel , Avihai Mejer , Vitaly Mirkis , Yftah Ziser

We propose a test of fairness in score-based ranking systems called matched pair calibration. Our approach constructs a set of matched item pairs with minimal confounding differences between subgroups before computing an appropriate measure…

We first present a Priestley-style dualitiy for the classes of algebras that are the algebraic counterpart of some congruential, finitary and filter-distributive logic with theorems. Then we analyze which properties of the dual spaces…

Logic · Mathematics 2025-10-14 María Esteban , Ramon Jansana

The idea of using multi-task learning approaches to address the joint extraction of entity and relation is motivated by the relatedness between the entity recognition task and the relation classification task. Existing methods using…

Computation and Language · Computer Science 2020-09-18 Kai Sun , Richong Zhang , Samuel Mensah , Yongyi Mao , Xudong Liu

This study deals with the missing link prediction problem: the problem of predicting the existence of missing connections between entities of interest. We address link prediction using coupled analysis of relational datasets represented as…

Machine Learning · Computer Science 2012-08-31 Beyza Ermiş , Evrim Acar , A. Taylan Cemgil

Recent surge of interests in cognitive assessment has led to the developments of novel statistical models for diagnostic classification. Central to many such models is the well-known Q-matrix, which specifies the item-attribute…

Methodology · Statistics 2011-06-06 Jingchen Liu , Gongjun Xu , Zhiliang Ying
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