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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

Ranking data arises in a wide variety of application areas but remains difficult to model, learn from, and predict. Datasets often exhibit multimodality, intransitivity, or incomplete rankings---particularly when generated by humans---yet…

Machine Learning · Computer Science 2019-01-29 Stephen Ragain , Johan Ugander

We study the ranking problem in generalized linear bandits. At each time, the learning agent selects an ordered list of items and observes stochastic outcomes. In recommendation systems, displaying an ordered list of the most attractive…

Machine Learning · Statistics 2024-01-03 Amitis Shidani , George Deligiannidis , Arnaud Doucet

Consensus problems for strings and sequences appear in numerous application contexts, ranging from bioinformatics over data mining to machine learning. Closing some gaps in the literature, we show that several fundamental problems in this…

Discrete Mathematics · Computer Science 2019-04-12 Laurent Bulteau , Vincent Froese , Rolf Niedermeier

Many problems in operations research require that constraints be specified in the model. Determining the right constraints is a hard and laborsome task. We propose an approach to automate this process using artificial intelligence and…

Artificial Intelligence · Computer Science 2018-05-30 Mohit Kumar , Stefano Teso , Luc De Raedt

We study the problem of enumerating answers of Conjunctive Queries ranked according to a given ranking function. Our main contribution is a novel algorithm with small preprocessing time, logarithmic delay, and non-trivial space usage during…

Databases · Computer Science 2025-05-21 Shaleen Deep , Paraschos Koutris

We consider supervised learning problems within the positive-definite kernel framework, such as kernel ridge regression, kernel logistic regression or the support vector machine. With kernels leading to infinite-dimensional feature spaces,…

Machine Learning · Computer Science 2013-05-23 Francis Bach

We consider the problem of partial order production: arrange the elements of an unknown totally ordered set T into a target partially ordered set S, by comparing a minimum number of pairs in T. Special cases include sorting by comparisons,…

Data Structures and Algorithms · Computer Science 2010-05-06 Jean Cardinal , Samuel Fiorini , Gwenaël Joret , Raphaël M. Jungers , J. Ian Munro

We introduce a novel approach to perform first-order optimization with orthogonal and unitary constraints. This approach is based on a parametrization stemming from Lie group theory through the exponential map. The parametrization…

Machine Learning · Computer Science 2019-09-23 Mario Lezcano-Casado , David Martínez-Rubio

We consider an online learning to rank setting in which, at each round, an oblivious adversary generates a list of $m$ documents, pertaining to a query, and the learner produces scores to rank the documents. The adversary then generates a…

Machine Learning · Computer Science 2016-08-24 Sougata Chaudhuri , Ambuj Tewari

We propose a new numerical algorithm for computing the tensor rank decomposition or canonical polyadic decomposition of higher-order tensors subject to a rank and genericity constraint. Reformulating this computational problem as a system…

Numerical Analysis · Mathematics 2024-07-02 Simon Telen , Nick Vannieuwenhoven

Learning to Rank has traditionally considered settings where given the relevance information of objects, the desired order in which to rank the objects is clear. However, with today's large variety of users and layouts this is not always…

Information Retrieval · Computer Science 2018-08-29 Harrie Oosterhuis , Maarten de Rijke

An important problem in text-ranking systems is handling the hard queries that form the tail end of the query distribution. The difficulty may arise due to the presence of uncommon, underspecified, or incomplete queries. In this work, we…

Information Retrieval · Computer Science 2024-06-13 Abhijit Anand , Venktesh V , Vinay Setty , Avishek Anand

The low-rank matrix completion problem asks whether a given real matrix with missing values can be completed so that the resulting matrix has low rank or is close to a low-rank matrix. The completed matrix is often required to satisfy…

Computational Complexity · Computer Science 2025-06-24 Dror Chawin , Ishay Haviv

We present an analysis of sets of matrices with rank less than or equal to a specified number $s$. We provide a simple formula for the normal cone to such sets, and use this to show that these sets are prox-regular at all points with rank…

Optimization and Control · Mathematics 2018-09-24 D. Russell Luke

In answer set programming (ASP), answer sets capture solutions to search problems of interest and thus the efficient computation of answer sets is of utmost importance. One viable implementation strategy is provided by translation-based ASP…

Logic in Computer Science · Computer Science 2023-08-31 Tomi Janhunen

Cs\'{a}ji, Jungers, and Blondel prove that while a PageRank optimization problem with edge selection constraints is NP-hard, it can be solved optimally in polynomial time for the unconstrained case. This theoretical result is accompanied by…

Optimization and Control · Mathematics 2024-12-17 Shang-Ru Yang , Yung-Han Liao , Chih-Ching Chien , Hao-Hsiang Wu

Nonconvex regularization has been popularly used in low-rank matrix learning. However, extending it for low-rank tensor learning is still computationally expensive. To address this problem, we develop an efficient solver for use with a…

Machine Learning · Computer Science 2022-05-09 Quanming Yao , Yaqing Wang , Bo Han , James Kwok

In precision-oriented tasks like answer ranking, it is more important to rank many relevant answers highly than to retrieve all relevant answers. It follows that a good ranking strategy would be to learn how to identify the easiest correct…

Information Retrieval · Computer Science 2020-05-22 Sean MacAvaney , Franco Maria Nardini , Raffaele Perego , Nicola Tonellotto , Nazli Goharian , Ophir Frieder

Existing evolutionary algorithms for Constrained Multi-objective Optimization Problems (CMOPs) typically treat all constraints uniformly, overlooking their distinct geometric relationships with the true Constrained Pareto Front (CPF). In…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Ruiqing Sun , Dawei Feng , Sheng Qi , Xing Zhou , Lianghao Li , Bo Ding , Yijie Wang , Rui Wang , Huaimin Wang