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We study a many-to-one matching model inspired by school choice, where schools evaluate applicants using multiple rankings rather than a single priority order. We model each school's evaluation with social choice criteria to reflect the…

Computer Science and Game Theory · Computer Science 2026-03-05 Haoyu Song , Thanh Nguyen , Young-san Lin

The Wallenius distribution is a generalisation of the Hypergeometric distribution where weights are assigned to balls of different colours. This naturally defines a model for ranking categories which can be used for classification purposes.…

Methodology · Statistics 2018-06-29 Clara Grazian , Fabrizio Leisen , Brunero Liseo

We show how hidden interesting subelections can be discovered in ordinal elections. An interesting subelection consists of a reasonably large set of voters and a reasonably large set of candidates such that the former have a consistent…

Computer Science and Game Theory · Computer Science 2024-07-29 Łukasz Janeczko , Jérôme Lang , Grzegorz Lisowski , Stanisław Szufa

In the following paper we provide a review and development of sequential Monte Carlo (SMC) methods for option pricing. SMC are a class of Monte Carlo-based algorithms, that are designed to approximate expectations w.r.t a sequence of…

Computation · Statistics 2010-05-27 Ajay Jasra , Pierre Del Moral

Stability Selection was recently introduced by Meinshausen and Buhlmann (2010) as a very general technique designed to improve the performance of a variable selection algorithm. It is based on aggregating the results of applying a selection…

Statistics Theory · Mathematics 2016-04-27 Rajen D. Shah , Richard J. Samworth

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

Methodology · Statistics 2015-11-12 A. B. Owen , J. Wang

The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process is repeated until a consensus emerges. Although the basic…

Statistical Mechanics · Physics 2018-06-06 Michael T. Gastner , Beáta Oborny , Máté Gulyás

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

Evaluating the performance of clustering models is a challenging task where the outcome depends on the definition of what constitutes a cluster. Due to this design, current existing metrics rarely handle multiple clustering models with…

Machine Learning · Computer Science 2025-05-08 Louis Ohl , Fredrik Lindsten

Relevant methods of variable selection have been proposed in model-based clustering and classification. These methods are making use of backward or forward procedures to define the roles of the variables. Unfortunately, these stepwise…

Computation · Statistics 2017-05-03 Gilles Celeux , Cathy Maugis-Rabusseau , Mohammed Sedki

This paper shows that sequential statistical analysis techniques can be generalised to the problem of selecting between alternative forecasting methods using scoring rules. A return to basic principles is necessary in order to show that…

Statistics Theory · Mathematics 2025-05-15 David T. Frazier , Donald S. Poskitt

In this paper we consider a single-server cyclic polling system. Between visits to successive queues, the server is delayed by a random switch-over time. The order in which customers are served in each queue is determined by a priority…

Probability · Mathematics 2014-08-05 Marko Boon , Ivo Adan , Onno Boxma

The voting method, an ensemble approach for fundamental frequency estimation, is empirically known for its robustness but lacks thorough investigation. This paper provides a principled analysis and improvement of this technique. First, we…

Sound · Computer Science 2026-02-03 Junya Koguchi , Tomoki Koriyama

Learning to quantify (a.k.a.\ quantification) is a task concerned with training unbiased estimators of class prevalence via supervised learning. This task originated with the observation that "Classify and Count" (CC), the trivial method of…

Machine Learning · Computer Science 2021-09-22 Alejandro Moreo , Fabrizio Sebastiani

In approval voting, individuals vote for all platforms that they find acceptable. In this situation it is natural to ask: When is agreement possible? What conditions guarantee that some fraction of the voters agree on even a single…

Combinatorics · Mathematics 2021-08-30 Kristen Mazur , Mutiara Sondjaja , Matthew Wright , Carolyn Yarnall

Mutual coherence is a measure of similarity between two opinions. Although the notion comes from philosophy, it is essential for a wide range of technologies, e.g., the Wahl-O-Mat system. In Germany, this system helps voters to find…

Artificial Intelligence · Computer Science 2023-07-06 Gregor Betz , Vera Chekan , Tamara Mchedlidze

Stakeholders quantification plays a basic role in selecting the appropriate requirements because their judgement is a major criteria since not all of them have the same importance. Original proposals quantified stakeholders assigning them a…

Software Engineering · Computer Science 2023-04-25 IM del Aguila , J del Sagrado

In most prediction and estimation situations, scientists consider various statistical models for the same problem, and naturally want to select amongst the best. Hansen et al. (2011) provide a powerful solution to this problem by the…

Methodology · Statistics 2026-01-23 Sebastian Arnold , Georgios Gavrilopoulos , Benedikt Schulz , Johanna Ziegel

We study the problem of fair cohort selection from an unknown population, with a focus on university admissions. We start with the one-shot setting, where the admission policy must be fixed in advance and remain transparent, before…

Machine Learning · Computer Science 2025-08-25 Hortence Phalonne Nana , Christos Dimitrakakis

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

Optimization and Control · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis