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Regularized M-estimators are used in diverse areas of science and engineering to fit high-dimensional models with some low-dimensional structure. Usually the low-dimensional structure is encoded by the presence of the (unknown) parameters…

Statistics Theory · Mathematics 2014-10-14 Jason D. Lee , Yuekai Sun , Jonathan E. Taylor

The increasing volume of ecologically and biologically relevant data has revealed a wide collection of emergent patterns in living systems. Analyzing different datasets, ranging from metabolic gene-regulatory to species interaction…

Physics and Society · Physics 2019-12-13 Daniel M. Busiello , Samir Suweis , Jorge Hidalgo , Amos Maritan

The multinomial probit model is a popular tool for analyzing choice behaviour as it allows for correlation between choice alternatives. Because current model specifications employ a full covariance matrix of the latent utilities for the…

Econometrics · Economics 2021-03-25 Ruben Loaiza-Maya , Didier Nibbering

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

Methodology · Statistics 2020-04-30 Papamichalis Marios

For machine learning models to be reliable and trustworthy, their decisions must be interpretable. As these models find increasing use in safety-critical applications, it is important that not just the model predictions but also their…

Machine Learning · Computer Science 2023-12-19 Sandesh Kamath , Sankalp Mittal , Amit Deshpande , Vineeth N Balasubramanian

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

Machine Learning · Computer Science 2025-02-07 Jakob Bach

In this paper we argue that conventional unitary-invariant measures of recommender system (RS) performance based on measuring differences between predicted ratings and actual user ratings fail to assess fundamental RS properties. More…

Information Retrieval · Computer Science 2024-04-29 Tung Nguyen , Jeffrey Uhlmann

Background: Significance analysis plays a major role in identifying and ranking genes, transcription factor binding sites, DNA methylation regions, and other high-throughput features for association with disease. We propose a new approach,…

Methodology · Statistics 2017-01-10 Andrew E. Jaffe , John D. Storey , Hongkai Ji , Jeffrey T. Leek

Many-Objective Feature Selection (MOFS) approaches use four or more objectives to determine the relevance of a subset of features in a supervised learning task. As a consequence, MOFS typically returns a large set of non-dominated…

Machine Learning · Computer Science 2023-12-01 Uchechukwu F. Njoku , Alberto Abelló , Besim Bilalli , Gianluca Bontempi

Reliable estimation of feature contributions in machine learning models is essential for trust, transparency and regulatory compliance, especially when models are proprietary or otherwise operate as black boxes. While permutation-based…

Machine Learning · Statistics 2025-12-24 Albert Dorador

Stability is a general notion that quantifies the sensitivity of a learning algorithm's output to small change in the training dataset (e.g. deletion or replacement of a single training sample). Such conditions have recently been shown to…

Machine Learning · Computer Science 2011-08-18 Stephane Ross , J. Andrew Bagnell

Interpretability is a crucial aspect of machine learning models that enables humans to understand and trust the decision-making process of these models. In many real-world applications, the interpretability of models is essential for legal,…

Machine Learning · Statistics 2023-07-18 Shree Charran R , Sandipan Das Mahapatra

Consistent confirmations obtained independently of each other lend credibility to a scientific result. We refer to results satisfying this consistency as reproducible and assume that reproducibility is a desirable property of scientific…

Other Statistics · Statistics 2019-06-19 Berna Devezer , Luis G. Nardin , Bert Baumgaertner , Erkan Buzbas

While model selection is a well-studied topic in parametric and nonparametric regression or density estimation, selection of possibly high-dimensional nuisance parameters in semiparametric problems is far less developed. In this paper, we…

Methodology · Statistics 2023-09-06 Yifan Cui , Eric Tchetgen Tchetgen

The growth of data today poses a challenge in management and inference. While feature extraction methods are capable of reducing the size of the data for inference, they do not help in minimizing the cost of data storage. On the other hand,…

Machine Learning · Computer Science 2022-03-04 Thu Nguyen , Thanh Nhan Phan , Van Nhuong Nguyen , Thanh Binh Nguyen , Pål Halvorsen , Michael Riegler

Advances in machine learning technologies have led to increasingly powerful models in particular in the context of big data. Yet, many application scenarios demand for robustly interpretable models rather than optimum model accuracy; as an…

Machine Learning · Computer Science 2020-05-07 Lukas Pfannschmidt , Jonathan Jakob , Fabian Hinder , Michael Biehl , Peter Tino , Barbara Hammer

Predictions from machine learning algorithms can vary across random seeds, inducing instability in downstream debiased machine learning estimators. We formalize random seed stability via a concentration condition and prove that subbagging…

Methodology · Statistics 2026-04-21 Nicholas Williams , Alejandro Schuler

The amount of data for machine learning (ML) applications is constantly growing. Not only the number of observations, especially the number of measured variables (features) increases with ongoing digitization. Selecting the most appropriate…

Machine Learning · Computer Science 2021-11-25 Konstantin Hopf , Sascha Reifenrath

Antimicrobial protocols - using substances such as antibiotics or disinfectants - remain the preferred option for preventing the spread of pathogenic bacteria. However, bacteria can develop mechanisms to reduce their antimicrobial…

Populations and Evolution · Quantitative Biology 2026-02-17 Nerea Martínez-López , Niclas Nordholt , Frank Schreiber , Míriam R. García

Data science projects often involve various machine learning (ML) methods that depend on data, code, and models. One of the key activities in these projects is the selection of a model or algorithm that is appropriate for the data analysis…

Machine Learning · Computer Science 2023-11-27 Cristina Tavares , Nathalia Nascimento , Paulo Alencar , Donald Cowan