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This paper proposes a new method for solving the well-known rank aggregation problem from pairwise comparisons using the method of low-rank matrix completion. The partial and noisy data of pairwise comparisons is transformed into a matrix…

Machine Learning · Statistics 2018-06-15 Tal Levy , Alireza Vahid , Raja Giryes

Label ranking is a prediction task which deals with learning a mapping between an instance and a ranking (i.e., order) of labels from a finite set, representing their relevance to the instance. Boosting is a well-known and reliable ensemble…

Machine Learning · Computer Science 2020-09-24 Lihi Dery , Erez Shmueli

The task of learning to pick a single preferred example out a finite set of examples, an "optimal choice problem", is a supervised machine learning problem with complex, structured input. Problems of optimal choice emerge often in various…

Artificial Intelligence · Computer Science 2017-07-07 Marina Sapir

Dataset scaling, also known as normalization, is an essential preprocessing step in a machine learning pipeline. It is aimed at adjusting attributes scales in a way that they all vary within the same range. This transformation is known to…

Machine Learning · Computer Science 2022-12-26 Lucas B. V. de Amorim , George D. C. Cavalcanti , Rafael M. O. Cruz

We introduce a novel framework for analyzing sorting algorithms in pairwise ranking prompting (PRP), re-centering the cost model around LLM inferences rather than traditional pairwise comparisons. While classical metrics based on comparison…

Computation and Language · Computer Science 2025-06-02 Juan Wisznia , Cecilia Bolaños , Juan Tollo , Giovanni Marraffini , Agustín Gianolini , Noe Hsueh , Luciano Del Corro

The sequential analysis of series often requires nonparametric procedures, where the most powerful ones frequently use rank transformations. Re-ranking the data sequence after each new observation can become too intensive computationally.…

Statistics Theory · Mathematics 2018-12-27 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

Text classification has long been a staple within Natural Language Processing (NLP) with applications spanning across diverse areas such as sentiment analysis, recommender systems and spam detection. With such a powerful solution, it is…

Computation and Language · Computer Science 2021-12-06 Amir Atapour-Abarghouei , Stephen Bonner , Andrew Stephen McGough

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

Information Retrieval · Computer Science 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy…

Machine Learning · Computer Science 2023-12-19 Elad Hazan , Adam Tauman Kalai , Varun Kanade , Clara Mohri , Y. Jennifer Sun

We consider the problem of ranking $n$ experts according to their abilities, based on the correctness of their answers to $d$ questions. This is modeled by the so-called crowd-sourcing model, where the answer of expert $i$ on question $k$…

Statistics Theory · Mathematics 2025-12-25 Alexandra Carpentier , Nicolas Verzelen

The widespread use of the internet has led to an overwhelming amount of data, which has resulted in the problem of information overload. Recommender systems have emerged as a solution to this problem by providing personalized…

Information Retrieval · Computer Science 2024-08-15 Hui Fang , Xu Feng , Lu Qin , Zhu Sun

Several studies point out different causes of performance degradation in supervised machine learning. Problems such as class imbalance, overlapping, small-disjuncts, noisy labels, and sparseness limit accuracy in classification algorithms.…

Machine Learning · Computer Science 2020-04-17 Gustavo A. Valencia-Zapata , Carolina Gonzalez-Canas , Michael G. Zentner , Okan Ersoy , Gerhard Klimeck

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

We consider bi-objective ranking and selection problems, where the goal is to correctly identify the Pareto optimal solutions among a finite set of candidates for which the two objective outcomes have been observed with uncertainty (e.g.,…

Machine Learning · Statistics 2024-03-29 Sebastian Rojas Gonzalez , Juergen Branke , Inneke van Nieuwenhuyse

View materialization, index selection, and plan caching are well-known techniques for optimization of query processing in database systems. The essence of these tasks is to select and save a subset of the most useful candidates…

Databases · Computer Science 2025-01-28 Sergey Zinchenko , Denis Ponomaryov

Feature-based algorithm selection aims to automatically find the best one from a portfolio of optimization algorithms on an unseen problem based on its landscape features. Feature-based algorithm selection has recently received attention in…

Neural and Evolutionary Computing · Computer Science 2022-04-27 Ryoji Tanabe

Many set selection and ranking algorithms have recently been enhanced with diversity constraints that aim to explicitly increase representation of historically disadvantaged populations, or to improve the overall representativeness of the…

Artificial Intelligence · Computer Science 2019-06-06 Ke Yang , Vasilis Gkatzelis , Julia Stoyanovich

Max-norm regularizer has been extensively studied in the last decade as it promotes an effective low-rank estimation for the underlying data. However, such max-norm regularized problems are typically formulated and solved in a batch manner,…

Machine Learning · Statistics 2016-05-17 Jie Shen , Huan Xu , Ping Li

We deliver a call to arms for probabilistic numerical methods: algorithms for numerical tasks, including linear algebra, integration, optimization and solving differential equations, that return uncertainties in their calculations. Such…

Numerical Analysis · Mathematics 2016-02-17 Philipp Hennig , Michael A Osborne , Mark Girolami