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We study a marginal empirical likelihood approach in scenarios when the number of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the parameters of interest are systematically…

Statistics Theory · Mathematics 2013-11-07 Jinyuan Chang , Cheng Yong Tang , Yichao Wu

This paper is about variable selection with the random forests algorithm in presence of correlated predictors. In high-dimensional regression or classification frameworks, variable selection is a difficult task, that becomes even more…

Methodology · Statistics 2016-04-19 Baptiste Gregorutti , Bertrand Michel , Philippe Saint-Pierre

Existing image recognition techniques based on convolutional neural networks (CNNs) basically assume that the training and test datasets are sampled from i.i.d distributions. However, this assumption is easily broken in the real world…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Kazuki Adachi , Shin'ya Yamaguchi

Instrumental variable methods provide useful tools for inferring causal effects in the presence of unmeasured confounding. To apply these methods with large-scale data sets, a major challenge is to find valid instruments from a possibly…

Methodology · Statistics 2024-09-24 Xinyi Zhang , Linbo Wang , Stanislav Volgushev , Dehan Kong

Kernel methods provide a flexible and theoretically grounded approach to nonlinear and nonparametric learning. While memory and run-time requirements hinder their applicability to large datasets, many low-rank kernel approximations, such as…

Machine Learning · Statistics 2024-04-15 Mateus P. Otto , Rafael Izbicki

We introduce xplainfi, an R package built on top of the mlr3 ecosystem for global, loss-based feature importance methods for machine learning models. Various feature importance methods exist in R, but significant gaps remain, particularly…

Machine Learning · Computer Science 2026-03-17 Lukas Burk , Fiona Katharina Ewald , Giuseppe Casalicchio , Marvin N. Wright , Bernd Bischl

Randomization inference is a widely-used and appealing approach for analyzing treatment effects in randomized experiments, as it is finite-sample valid and does not require any distributional assumptions. However, naive application of…

Econometrics · Economics 2026-05-12 Xinran Li , Peizan Sheng , Zeyang Yu

Data mining is a widely used technology for various real-life applications of data analytics and is important to discover valuable association rules in transaction databases. Interesting itemset mining plays an important role in many…

Databases · Computer Science 2021-03-12 Yanling Cui , Wensheng Gan , Hong Lin , Weimin Zheng

Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

An essential technique for diagnosing brain disorders is electrophysiological source imaging (ESI). While model-based optimization and deep learning methods have achieved promising results in this field, the accurate selection and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Linyong Zou , Liang Zhang , Xiongfei Wang , Jia-Hong Gao , Yi Sun , Shurong Sheng , Kuntao Xiao , Wanli Yang , Pengfei Teng , Guoming Luan , Zhao Lv , Zikang Xu

From a machine learning point of view, identifying a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this…

Machine Learning · Computer Science 2017-05-23 Pietro Cassara , Alessandro Rozza , Mirco Nanni

Understanding the contribution of individual features in predictive models remains a central goal in interpretable machine learning, and while many model-agnostic methods exist to estimate feature importance, they often fall short in…

Machine Learning · Computer Science 2025-07-08 Ivan Lazic , Chiara Barà , Marta Iovino , Sebastiano Stramaglia , Niksa Jakovljevic , Luca Faes

With the advent of Big Data era, data reduction methods are highly demanded given its ability to simplify huge data, and ease complex learning processes. Concretely, algorithms that are able to filter relevant dimensions from a set of…

Machine Learning · Computer Science 2018-04-17 Sergio Ramírez-Gallego , Salvador García , Ning Xiong , Francisco Herrera

In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements, and specifically analyze the interaction between FRI techniques and the underlying sampling methods. We first obtain a…

Information Theory · Computer Science 2016-11-18 Zvika Ben-Haim , Tomer Michaeli , Yonina C. Eldar

When used in the context of decision theory, feature importance expresses how much changing the value of a feature can change the model outcome (or the utility of the outcome), compared to other features. Feature importance should not be…

Artificial Intelligence · Computer Science 2023-08-08 Kary Främling

In many studies, we want to determine the influence of certain features on a dependent variable. More specifically, we are interested in the strength of the influence -- i.e., is the feature relevant? -- and, if so, how the feature…

Machine Learning · Statistics 2023-03-03 Yannick Gerstorfer , Lena Krieg , Max Hahn-Klimroth

Deep models produce a number of features in each internal layer. A key problem in applications such as feature compression for remote inference is determining how important each feature is for the task(s) performed by the model. The problem…

Image and Video Processing · Electrical Eng. & Systems 2024-05-16 Saeed Ranjbar Alvar , Ivan V. Bajić

Feature selection has drawn much attention over the last decades in machine learning because it can reduce data dimensionality while maintaining the original physical meaning of features, which enables better interpretability than feature…

Machine Learning · Computer Science 2022-09-27 Yiwen Liao , Jochen Rivoir , Raphaël Latty , Bin Yang

Practitioners use feature importance to rank and eliminate weak predictors during model development in an effort to simplify models and improve generality. Unfortunately, they also routinely conflate such feature importance measures with…

Machine Learning · Computer Science 2020-06-09 Terence Parr , James D. Wilson , Jeff Hamrick
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