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In this work, we propose a modified Bayesian Information Criterion (BIC) specifically designed for mixture models and hierarchical structures. This criterion incorporates the determinant of the Hessian matrix of the log-likelihood function,…

Logistic regression is by far the most widely used classifier in real-world applications. In this paper, we benchmark the state-of-the-art active learning methods for logistic regression and discuss and illustrate their underlying…

Machine Learning · Statistics 2018-07-04 Yazhou Yang , Marco Loog

Using predictive adaptive arithmetic coding and the Minimum Description Length principle, we derive an efficient tool for model selection problems : the RIC information criterion. We then present an extension of these coding techniques to…

Methodology · Statistics 2007-05-23 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

Building classification models that predict a binary class label on the basis of high dimensional multi-omics datasets poses several challenges, due to the typically widely differing characteristics of the data layers in terms of number of…

Methodology · Statistics 2020-08-04 Alessandra Cabassi , Denis Seyres , Mattia Frontini , Paul D. W. Kirk

The area under the receiver operating characteristic curve (AUC) is often used to evaluate the performance of clinical prediction models. Recently, a more refined strategy has been proposed to examine a partial area under the curve (pAUC),…

Applications · Statistics 2016-06-22 Travis Gerke , Svitlana Tyekucheva , Lorelei Mucci , Giovanni Parmigiani

Akaike's Bayesian information criterion (ABIC) has been widely used in geophysical inversion and beyond. However, little has been done to investigate its statistical aspects. We present an alternative derivation of the marginal distribution…

Methodology · Statistics 2023-02-10 Peiliang Xu

Traditional robust recommendation methods view atypical user-item interactions as noise and aim to reduce their impact with some kind of noise filtering technique, which often suffers from two challenges. First, in real world, atypical…

Information Retrieval · Computer Science 2022-01-19 Ziwen Du , Ning Yang , Zhonghua Yu , Philip S. Yu

As AI systems become increasingly autonomous, reliably aligning their decision-making with human preferences is essential. Inverse reinforcement learning (IRL) offers a promising approach to infer preferences from demonstrations. These…

Machine Learning · Computer Science 2025-09-22 Ondrej Bajgar , Dewi S. W. Gould , Jonathon Liu , Alessandro Abate , Konstantinos Gatsis , Michael A. Osborne

Regression is a fundamental prediction task common in data-centric engineering applications that involves learning mappings between continuous variables. In many engineering applications (e.g.\ structural health monitoring), feature-label…

Information coefficient (IC) is a widely used metric for measuring investment managers' skills in selecting stocks. However, its adequacy and effectiveness for evaluating stock selection models has not been clearly understood, as IC from a…

Computational Finance · Quantitative Finance 2020-10-20 Feng Zhang , Ruite Guo , Honggao Cao

When performing regression or classification, we are interested in the conditional probability distribution for an outcome or class variable Y given a set of explanatoryor input variables X. We consider Bayesian models for this task. In…

Machine Learning · Computer Science 2013-02-08 David Heckerman , Christopher Meek

We introduce a generalized information criterion that contains other well-known information criteria, such as Bayesian information Criterion (BIC) and Akaike information criterion (AIC), as special cases. Furthermore, the proposed spectral…

Methodology · Statistics 2023-08-21 L. Martino , R. San Millan-Castillo , E. Morgado

Accurate model selection is a fundamental requirement for statistical analysis. In many real-world applications of graphical modelling, correct model structure identification is the ultimate objective. Standard model validation procedures…

Machine Learning · Statistics 2019-08-28 Robert O'Shea

In high-dimensional data settings, additional information on the features is often available. Examples of such external information in omics research are: (a) p-values from a previous study, (b) a summary of prior information, and (c) omics…

The growing use of model-selection principles in ecology for statistical inference is underpinned by information criteria (IC) and cross-validation (CV) techniques. Although IC techniques, such as Akaike's Information Criterion, have been…

Methodology · Statistics 2022-03-10 Luke Yates , Zach Aandahl , Shane A. Richards , Barry W. Brook

A stochastic search method, the so-called Adaptive Subspace (AdaSub) method, is proposed for variable selection in high-dimensional linear regression models. The method aims at finding the best model with respect to a certain model…

Computation · Statistics 2021-04-20 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

For prediction models developed on clustered data that do not account for cluster heterogeneity in model parameterization, it is crucial to use cluster-based validation to assess model generalizability on unseen clusters. This paper…

Methodology · Statistics 2025-06-23 Jiaxing Qiu , Douglas E. Lake , Pavel Chernyavskiy , Teague R. Henry

A thorough understanding of the interaction between the target agent and surrounding agents is a prerequisite for accurate trajectory prediction. Although many methods have been explored, they assign correlation coefficients to surrounding…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Shiji Huang , Lei Ye , Min Chen , Wenhai Luo , Dihong Wang , Chenqi Xu , Deyuan Liang

The theoretical foundation for a number of model selection criteria is established in the context of inhomogeneous point processes and under various asymptotic settings: infill, increasing domain, and combinations of these. For…

Statistics Theory · Mathematics 2021-06-11 Achmad Choiruddin , Jean-François Coeurjolly , Rasmus Waagepetersen

Many important modeling tasks in linear regression, including variable selection (in which slopes of some predictors are set equal to zero) and simplified models based on sums or differences of predictors (in which slopes of those…

Methodology · Statistics 2020-09-22 Sen Tian , Clifford M. Hurvich , Jeffrey S. Simonoff