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Comparison data arises in many important contexts, e.g. shopping, web clicks, or sports competitions. Typically we are given a dataset of comparisons and wish to train a model to make predictions about the outcome of unseen comparisons. In…

Machine Learning · Statistics 2018-07-25 Stephen Ragain , Alexander Peysakhovich , Johan Ugander

Learning to rank is an effective recommendation approach since its introduction around 2010. Famous algorithms such as Bayesian Personalized Ranking and Collaborative Less is More Filtering have left deep impact in both academia and…

Information Retrieval · Computer Science 2022-12-21 Hao Wang

Deciding which large language model (LLM) to use is a complex challenge. Pairwise ranking has emerged as a new method for evaluating human preferences for LLMs. This approach entails humans evaluating pairs of model outputs based on a…

Computation and Language · Computer Science 2025-02-18 Roland Daynauth , Christopher Clarke , Krisztian Flautner , Lingjia Tang , Jason Mars

In preference modelling, it is essential to determine the number of questions and their arrangements to ask from the decision maker. We focus on incomplete pairwise comparison matrices, and provide the optimal filling in patterns, which…

Optimization and Control · Mathematics 2025-09-04 Zsombor Szádoczki , Sándor Bozóki

The power of multiple testing procedures can be increased by using weighted p-values (Genovese, Roeder and Wasserman 2005). We derive the optimal weights and we show that the power is remarkably robust to misspecification of these weights.…

Statistics Theory · Mathematics 2007-06-13 Larry Wasserman , Kathryn Roeder

Inference methods are often formulated as variational approximations: these approximations allow easy evaluation of statistics by marginalization or linear response, but these estimates can be inconsistent. We show that by introducing…

Machine Learning · Statistics 2017-04-27 Jack Raymond , Federico Ricci-Tersenghi

A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a…

Data Analysis, Statistics and Probability · Physics 2014-11-06 Yordan Karadzhov

Semantic Embedding Models (SEMs) have become a core component in information retrieval and natural language processing due to their ability to model semantic relevance. However, despite its growing applications in search engines, few…

Information Retrieval · Computer Science 2026-01-06 Mengze Hong , Di Jiang , Zichang Guo , Chen Jason Zhang

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

Algorithms for computing equilibria, optima, and fixed points in nonconvex problems often depend sensitively on practitioner-chosen initial conditions. When uniqueness of a solution is of interest, a common heuristic is to run such…

Econometrics · Economics 2026-02-17 Moeen Nehzati , Diego Cussen

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not…

Machine Learning · Computer Science 2025-06-03 Roman Plaud , Alexandre Perez-Lebel , Matthieu Labeau , Antoine Saillenfest , Thomas Bonald

We analyze different methods of sorting and selecting a set of objects by their intrinsic value, via pairwise comparisons whose outcome is uncertain. After discussing the limits of repeated Round Robins, two new methods are presented: The…

Statistical Mechanics · Physics 2016-08-31 Paolo Laureti , Joachim Mathiesen , Yi-Cheng Zhang

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Gene expression datasets are usually of high dimensionality and therefore require efficient and effective methods for identifying the relative importance of their attributes. Due to the huge size of the search space of the possible…

Machine Learning · Computer Science 2022-06-10 Fernando Jiménez , Gracia Sánchez , José Palma , Luis Miralles-Pechuán , Juan Botía

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…

Gradient-based solvers risk convergence to local optima, leading to incorrect researcher inference. Heuristic-based algorithms are able to ``break free" of these local optima to eventually converge to the true global optimum. However, given…

Econometrics · Economics 2024-01-17 Zachary Porreca

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

Methodology · Statistics 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data,…

Numerical Analysis · Mathematics 2020-02-11 Toby Sanders , Rodrigo B. Platte , Robert D. Skeel

This paper considers mathematical programs, whose constraints are expressed by a parameterized vector equilibrium problem. The latter is a well recognized framework, which is able to cover multicriteria optimization, vector variational…

Optimization and Control · Mathematics 2022-10-18 Amos Uderzo