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One of the most important steps toward interpretability and explainability of neural network models is feature selection, which aims to identify the subset of relevant features. Theoretical results in the field have mostly focused on the…

Machine Learning · Computer Science 2020-10-19 Vu Dinh , Lam Si Tung Ho

Neural network potentials are a powerful tool for atomistic simulations, allowing to accurately reproduce \textit{ab initio} potential energy surfaces with computational performance approaching classical force fields. A central component of…

Disordered Systems and Neural Networks · Physics 2023-12-27 Johannes Sandberg , Thomas Voigtmann , Emilie Devijver , Noel Jakse

In regression problems where covariates can be naturally grouped, the group Lasso is an attractive method for variable selection since it respects the grouping structure in the data. We study the selection and estimation properties of the…

Statistics Theory · Mathematics 2010-11-30 Fengrong Wei , Jian Huang

Simultaneous feature selection and non-linear function estimation is challenging in modeling, especially in high-dimensional settings where the number of variables exceeds the available sample size. In this article, we investigate the…

Machine Learning · Statistics 2026-01-05 Bin Luo , Susan Halabi

In many high dimensional classification or regression problems set in a biological context, the complete identification of the set of informative features is often as important as predictive accuracy, since this can provide mechanistic…

Machine Learning · Computer Science 2020-03-02 Yuxin Sun , Benny Chain , Samuel Kaski , John Shawe-Taylor

Much work has been done recently to make neural networks more interpretable, and one obvious approach is to arrange for the network to use only a subset of the available features. In linear models, Lasso (or $\ell_1$-regularized) regression…

Machine Learning · Statistics 2021-06-17 Ismael Lemhadri , Feng Ruan , Louis Abraham , Robert Tibshirani

In this paper, we propose an adaptive group Lasso deep neural network for high-dimensional function approximation where input data are generated from a dynamical system and the target function depends on few active variables or few linear…

Machine Learning · Computer Science 2021-12-06 Lam Si Tung Ho , Nicholas Richardson , Giang Tran

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

Machine Learning · Statistics 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

Classification with a sparsity constraint on the solution plays a central role in many high dimensional machine learning applications. In some cases, the features can be grouped together so that entire subsets of features can be selected or…

Machine Learning · Computer Science 2014-09-05 Nikhil Rao , Robert Nowak , Christopher Cox , Timothy Rogers

Despite their dominance in vision and language, deep neural networks often underperform relative to tree-based models on tabular data. To bridge this gap, we incorporate five key inductive biases into deep learning: robustness to irrelevant…

Machine Learning · Statistics 2026-03-24 Kry Yik Chau Lui , Cheng Chi , Kishore Basu , Yanshuai Cao

Many data sets consist of variables with an inherent group structure. The problem of group selection has been well studied, but in this paper, we seek to do the opposite: our goal is to select at least one variable from each group in the…

Methodology · Statistics 2015-05-29 Frederick Campbell , Genevera I. Allen

Feature selection aims to identify the most pattern-discriminative feature subset. In prior literature, filter (e.g., backward elimination) and embedded (e.g., Lasso) methods have hyperparameters (e.g., top-K, score thresholding) and tie to…

Machine Learning · Computer Science 2024-03-07 Wangyang Ying , Dongjie Wang , Haifeng Chen , Yanjie Fu

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi

We propose an adaptive node feature selection approach for graph neural networks (GNNs) that identifies and removes unnecessary features during training. The ability to measure how features contribute to model output is key for interpreting…

Machine Learning · Computer Science 2026-05-04 Ali Azizpour , Madeline Navarro , Santiago Segarra

Multitask learning can be effective when features useful in one task are also useful for other tasks, and the group lasso is a standard method for selecting a common subset of features. In this paper, we are interested in a less restrictive…

Machine Learning · Computer Science 2013-11-25 Nikhil Rao , Christopher Cox , Robert Nowak , Timothy Rogers

Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

Methodology · Statistics 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys

Generalized additive model is a powerful statistical learning and predictive modeling tool that has been applied in a wide range of applications. The need of high-dimensional additive modeling is eminent in the context of dealing with high…

Methodology · Statistics 2021-07-08 Kaixu Yang , Tapabrata Maiti

Along with the desire to address more complex problems, feature selection methods have gained in importance. Feature selection methods can be classified into wrapper method, filter method, and embedded method. Being a powerful embedded…

Machine Learning · Computer Science 2021-08-30 Akihito Sudo , Teng Teck Hou , Masaki Yamaguchi , Yoshinori Tone

Large neural network models have high predictive power but may suffer from overfitting if the training set is not large enough. Therefore, it is desirable to select an appropriate size for neural networks. The destructive approach, which…

Machine Learning · Computer Science 2021-09-28 Lam Si Tung Ho , Vu Dinh

Feature selection aims to identify the optimal feature subset for enhancing downstream models. Effective feature selection can remove redundant features, save computational resources, accelerate the model learning process, and improve the…

Machine Learning · Computer Science 2024-12-19 Nanxu Gong , Wangyang Ying , Dongjie Wang , Yanjie Fu
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