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Selective classification (or classification with a reject option) pairs a classifier with a selection function to determine whether or not a prediction should be accepted. This framework trades off coverage (probability of accepting a…

Machine Learning · Computer Science 2023-02-23 Andrea Pugnana , Salvatore Ruggieri

In this work, we develop a stochastic model of gene gain and loss with the aim of inferring when (if at all) in evolutionary history and association between two genes arises. The data we consider is a species tree along with information on…

Populations and Evolution · Quantitative Biology 2023-09-07 Jiahao Diao , Malgorzata M. O'Reilly , Barbara R. Holland

Inference for high-dimensional logistic regression models using penalized methods has been a challenging research problem. As an illustration, a major difficulty is the significant bias of the Lasso estimator, which limits its direct…

Methodology · Statistics 2024-10-29 Yuming Zhang , Stéphane Guerrier , Runze Li

This technical note considers the sampling of outcomes that provide the greatest amount of information about the structure of underlying world models. This generalisation furnishes a principled approach to structure learning under a…

Neurons and Cognition · Quantitative Biology 2025-12-25 Karl Friston , Lancelot Da Costa , Alexander Tschantz , Conor Heins , Christopher Buckley , Tim Verbelen , Thomas Parr

We study model selection by the Bayesian information criterion (BIC) in fixed-dimensional exploratory factor analysis over a fixed finite family of compact covariance classes. Our main result shows that the BIC is strongly consistent for…

Statistics Theory · Mathematics 2026-04-10 Hien Duy Nguyen , Kei Hirose

Model order selection (MOS) in linear regression models is a widely studied problem in signal processing. Techniques based on information theoretic criteria (ITC) are algorithms of choice in MOS problems. This article proposes a novel…

Information Theory · Computer Science 2019-01-30 Sreejith Kallummil , Sheetal Kalyani

Data-driven model discovery (DDMD) algorithms are powerful tools for extracting interpretable symbolic models from data. However, identifying the model that best balances goodness-of-fit and sparsity is often a laborious process requiring…

Quantitative Methods · Quantitative Biology 2026-02-26 Michael C Chung , Alen Zacharia , Juan Guan

General regression and classification models are constructed as linear combinations of simple rules derived from the data. Each rule consists of a conjunction of a small number of simple statements concerning the values of individual input…

Applications · Statistics 2008-11-12 Jerome H. Friedman , Bogdan E. Popescu

This paper aims to review the methodology behind the generalized linear models which are used in analyzing the actuarial situations instead of the ordinary multiple linear regression. We introduce how to assess the adequacy of the model…

Statistical Finance · Quantitative Finance 2016-11-09 Murwan H. M. A. Siddig

We propose a new model selection method, the posterior averaging information criterion, for Bayesian model assessment from a predictive perspective. The theoretical foundation is built on the Kullback-Leibler divergence to quantify the…

Methodology · Statistics 2020-09-22 Shouhao Zhou

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

Machine Learning · Statistics 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

Recent development in computing, sensing and crowd-sourced data have resulted in an explosion in the availability of quantitative information. The possibilities of analyzing this so-called Big Data to inform research and the decision-making…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Nguyen Ho , Huy Vo , Mai Vu , Torben Bach Pedersen

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

Methodology · Statistics 2022-05-12 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

Incentive mechanisms for crowdsourcing are designed to incentivize financially self-interested workers to generate and report high-quality labels. Existing mechanisms are often developed as one-shot static solutions, assuming a certain…

Computer Science and Game Theory · Computer Science 2018-06-04 Zehong Hu , Yitao Liang , Yang Liu , Jie Zhang

Concept bottleneck models (CBMs) are interpretable neural networks that first predict labels for human-interpretable concepts relevant to the prediction task, and then predict the final label based on the concept label predictions. We…

Machine Learning · Computer Science 2023-04-28 Kushal Chauhan , Rishabh Tiwari , Jan Freyberg , Pradeep Shenoy , Krishnamurthy Dvijotham

Agentic applications based on large language models increasingly rely on multi-step interaction loops involving planning, action execution, and environment feedback. While such systems are now deployed at scale, improving them…

Artificial Intelligence · Computer Science 2026-04-02 Shuguang Chen , Adil Hafeez , Salman Paracha

For multivariate regularly random vectors of dimension $d$, the dependence structure of the extremes is modeled by the so-called angular measure. When the dimension $d$ is high, estimating the angular measure is challenging because of its…

Methodology · Statistics 2025-05-29 Lucas Butsch , Vicky Fasen-Hartmann

We consider the estimation of regression models on strata defined using a categorical covariate, in order to identify interactions between this categorical covariate and the other predictors. A basic approach requires the choice of a…

Statistics Theory · Mathematics 2016-11-09 Edouard Ollier , Vivian Viallon

Incentive design constitutes a foundational paradigm for influencing the behavior of strategic agents, wherein a system planner (principal) publicly commits to an incentive mechanism designed to align individual objectives with collective…

Optimization and Control · Mathematics 2026-04-08 Georgios Vasileiou , Lantian Zhang , Silun Zhang

This commentary regards a recent simulation study conducted by Aouni, Gaudel-Dedieu and Sebastien, evaluating the performance of different versions of matching-adjusted indirect comparison (MAIC) in an anchored scenario with a common…

Methodology · Statistics 2022-03-29 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio
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