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Learning to Rank (LTR) methods generally assume that each document in a top-K ranking is presented in an equal format. However, previous work has shown that users' perceptions of relevance can be changed by varying presentations, i.e.,…

Information Retrieval · Computer Science 2025-07-01 Norman Knyazev , Harrie Oosterhuis

We consider in this paper top-k query answering in social tagging systems, also known as folksonomies. This problem requires a significant departure from existing, socially agnostic techniques. In a network-aware context, one can (and…

Information Retrieval · Computer Science 2012-10-08 Silviu Maniu , Bogdan Cautis

Many applications such as recommendation systems or sports tournaments involve pairwise comparisons within a collection of $n$ items, the goal being to aggregate the binary outcomes of the comparisons in order to recover the latent strength…

Statistics Theory · Mathematics 2023-07-13 Eglantine Karlé , Hemant Tyagi

Learning to rank with implicit feedback is one of the most important tasks in many real-world information systems where the objective is some specific utility, e.g., clicks and revenue. However, we point out that existing methods based on…

Information Retrieval · Computer Science 2020-11-03 Xinyi Dai , Jiawei Hou , Qing Liu , Yunjia Xi , Ruiming Tang , Weinan Zhang , Xiuqiang He , Jun Wang , Yong Yu

Computing reachability probabilities is a fundamental problem in the analysis of probabilistic programs. This paper aims at a comprehensive and comparative account on various martingale-based methods for over- and under-approximating…

Programming Languages · Computer Science 2018-11-16 Toru Takisaka , Yuichiro Oyabu , Natsuki Urabe , Ichiro Hasuo

Rank aggregation based on pairwise comparisons over a set of items has a wide range of applications. Although considerable research has been devoted to the development of rank aggregation algorithms, one basic question is how to efficiently…

Machine Learning · Statistics 2016-12-22 Xi Chen , Kevin Jiao , Qihang Lin

Machine learning models are widely applied in various fields. Stakeholders often use post-hoc feature importance methods to better understand the input features' contribution to the models' predictions. The interpretation of the importance…

Machine Learning · Statistics 2024-04-19 Bitya Neuhof , Yuval Benjamini

Ranking is a ubiquitous method for focusing the attention of human evaluators on a manageable subset of options. Its use as part of human decision-making processes ranges from surfacing potentially relevant products on an e-commerce site to…

Machine Learning · Computer Science 2024-10-31 Richa Rastogi , Thorsten Joachims

We present FastLexRank\footnote{https://github.com/LiMaoUM/FastLexRank}, an efficient and scalable implementation of the LexRank algorithm for text ranking. Designed to address the computational and memory complexities of the original…

Computation and Language · Computer Science 2024-10-03 Mao Li , Frederick Conrad , Johann Gagnon-Bartsch

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

Physics and Society · Physics 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

Large Language Models (LLMs) have significantly impacted many facets of natural language processing and information retrieval. Unlike previous encoder-based approaches, the enlarged context window of these generative models allows for…

Information Retrieval · Computer Science 2024-05-24 Andrew Parry , Sean MacAvaney , Debasis Ganguly

In the unidimensional unfolding model, given m objects in general position there arise 1+m(m-1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects. By changing these m objects, we can generate various…

Combinatorics · Mathematics 2007-07-11 H. Kamiya , P. Orlik , A. Takemura , H. Terao

Low rank approximation of matrices has been well studied in literature. Singular value decomposition, QR decomposition with column pivoting, rank revealing QR factorization (RRQR), Interpolative decomposition etc are classical deterministic…

Numerical Analysis · Mathematics 2016-06-22 N. Kishore Kumar , Jan Shneider

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

Methodology · Statistics 2024-08-27 Michael Pearce , Elena A. Erosheva

Ranking and comparing items is crucial for collecting information about preferences in many areas, from marketing to politics. The Mallows rank model is among the most successful approaches to analyse rank data, but its computational…

Methodology · Statistics 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

Assume in a sample of size M one finds M_i representatives of species i with i=1...N^*. The normalized frequency p^*_i=M_i/M, based on the finite sample, may deviate considerably from the true probabilities p_i. We propose a method to infer…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Thorsten Poeschel , Werner Ebeling , Cornelius Froemmel , Rosa Ramirez

Ranking problems based on pairwise comparisons, such as those arising in online gaming, often involve a large pool of items to order. In these situations, the gap in performance between any two items can be significant, and the smallest and…

Statistics Theory · Mathematics 2022-06-16 Heejong Bong , Alessandro Rinaldo

Randomized rankings have been of recent interest to achieve ex-ante fairer exposure and better robustness than deterministic rankings. We propose a set of natural axioms for randomized group-fair rankings and prove that there exists a…

Machine Learning · Computer Science 2023-05-30 Sruthi Gorantla , Amit Deshpande , Anand Louis

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 give a conjecture for the expected value of the optimal k-assignment in an m x n-matrix, where the entries are all exp(1)-distributed random variables or zeros. We prove this conjecture in the case there is a zero-cost $k-1$-assignment.…

Combinatorics · Mathematics 2007-05-23 Svante Linusson , Johan Waestlund