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Feature importance methods using unrestricted permutations are flawed due to extrapolation errors; such errors appear in all non-trivial variable importance approaches. We propose three new approaches: conditional model reliance and…

Machine Learning · Statistics 2026-04-14 Emanuele Borgonovo , Francesco Cappelli , Xuefei Lu , Elmar Plischke , Cynthia Rudin

This paper introduces a novel framework for enhancing Random Forest classifiers by integrating probabilistic feature sampling and hyperparameter tuning via Simulated Annealing. The proposed framework exhibits substantial advancements in…

Machine Learning · Computer Science 2025-11-12 Kowshik Balasubramanian , Andre Williams , Ismail Butun

We propose a procedure for assigning a relevance measure to each explanatory variable in a complex predictive model. We assume that we have a training set to fit the model and a test set to check the out of sample performance. First, the…

Machine Learning · Statistics 2020-02-17 Pedro Delicado , Daniel Peña

Model interpretation is one of the key aspects of the model evaluation process. The explanation of the relationship between model variables and outputs is relatively easy for statistical models, such as linear regressions, thanks to the…

Machine Learning · Computer Science 2013-12-05 Anna Palczewska , Jan Palczewski , Richard Marchese Robinson , Daniel Neagu

Identifying key product features that influence consumer preferences is essential in the fashion industry. In this study, we introduce a robust methodology to ascertain the most impactful features in fashion product images, utilizing past…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Xiaomin Li , Junyi Sha

We study prediction and estimation problems using empirical risk minimization, relative to a general convex loss function. We obtain sharp error rates even when concentration is false or is very restricted, for example, in heavy-tailed…

Machine Learning · Statistics 2014-10-14 Shahar Mendelson

One way to interpret neural model predictions is to highlight the most important input features---for example, a heatmap visualization over the words in an input sentence. In existing interpretation methods for NLP, a word's importance is…

Computation and Language · Computer Science 2022-09-07 Shi Feng , Eric Wallace , Alvin Grissom , Mohit Iyyer , Pedro Rodriguez , Jordan Boyd-Graber

The performance of machine learning models is determined by the quality of their learned features. They should be invariant under irrelevant data variation but sensitive to task-relevant details. To visualize whether this is the case, we…

Machine Learning · Computer Science 2026-03-24 Armand Rousselot , Joran Wendebourg , Ullrich Köthe

Not all real-world data are labeled, and when labels are not available, it is often costly to obtain them. Moreover, as many algorithms suffer from the curse of dimensionality, reducing the features in the data to a smaller set is often of…

Machine Learning · Computer Science 2022-05-19 Chiara Balestra , Florian Huber , Andreas Mayr , Emmanuel Müller

With machine learning models being increasingly used to aid decision making even in high-stakes domains, there has been a growing interest in developing interpretable models. Although many supposedly interpretable models have been proposed,…

Artificial Intelligence · Computer Science 2021-08-17 Forough Poursabzi-Sangdeh , Daniel G. Goldstein , Jake M. Hofman , Jennifer Wortman Vaughan , Hanna Wallach

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

Machine learning is a data-driven field, and the quality of the underlying datasets plays a crucial role in learning success. However, high performance on held-out test data does not necessarily indicate that a model generalizes or learns…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Nicolas M. Müller , Jochen Jacobs , Jennifer Williams , Konstantin Böttinger

In the context of supervised parametric models, we introduce the concept of e-values. An e-value is a scalar quantity that represents the proximity of the sampling distribution of parameter estimates in a model trained on a subset of…

Machine Learning · Statistics 2022-07-19 Subhabrata Majumdar , Snigdhansu Chatterjee

Interpretability is an important area of research for safe deployment of machine learning systems. One particular type of interpretability method attributes model decisions to input features. Despite active development, quantitative…

Machine Learning · Computer Science 2019-11-06 Mengjiao Yang , Been Kim

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtain robust estimates. The weight, attached to each score contribution, is evaluated by comparing the statistical data depth at the model…

Methodology · Statistics 2018-02-16 Claudio Agostinelli

Let $Y$ be a Gaussian vector whose components are independent with a common unknown variance. We consider the problem of estimating the mean $\mu$ of $Y$ by model selection. More precisely, we start with a collection…

Statistics Theory · Mathematics 2009-04-03 Yannick Baraud , Christophe Giraud , Sylvie Huet

Deciding whether a model provides a good description of data is often based on a goodness-of-fit criterion summarized by a p-value. Although there is considerable confusion concerning the meaning of p-values, leading to their misuse, they…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Frederik Beaujean , Allen Caldwell , Daniel Kollar , Kevin Kroeninger

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

Removing information from a machine learning model is a non-trivial task that requires to partially revert the training process. This task is unavoidable when sensitive data, such as credit card numbers or passwords, accidentally enter the…

Machine Learning · Computer Science 2023-08-08 Alexander Warnecke , Lukas Pirch , Christian Wressnegger , Konrad Rieck

Leveraging the large body of work devoted in recent years to describe redundancy and synergy in multivariate interactions among random variables, we propose a novel approach to quantify cooperative effects in feature importance, one of the…

Data Analysis, Statistics and Probability · Physics 2025-03-14 Marlis Ontivero-Ortega , Luca Faes , Jesus M Cortes , Daniele Marinazzo , Sebastiano Stramaglia
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