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In statistical learning framework with regressions, interactions are the contributions to the response variable from the products of the explanatory variables. In high-dimensional problems, detecting interactions is challenging due to…

Methodology · Statistics 2019-10-01 Cheng Yong Tang , Ethan X. Fang , Yuexiao Dong

The lack of interpretability is an inevitable problem when using neural network models in real applications. In this paper, an explainable neural network based on generalized additive models with structured interactions (GAMI-Net) is…

Machine Learning · Statistics 2021-06-03 Zebin Yang , Aijun Zhang , Agus Sudjianto

Distributed statistical learning has become a popular technique for large-scale data analysis. Most existing work in this area focuses on dividing the observations, but we propose a new algorithm, DDAC-SpAM, which divides the features under…

Machine Learning · Computer Science 2023-07-11 Yifan He , Ruiyang Wu , Yong Zhou , Yang Feng

Automated high-stake decision-making such as medical diagnosis requires models with high interpretability and reliability. As one of the interpretable and reliable models with good prediction ability, we consider Sparse High-order…

Machine Learning · Statistics 2021-06-10 Diptesh Das , Vo Nguyen Le Duy , Hiroyuki Hanada , Koji Tsuda , Ichiro Takeuchi

Bridging the gap between data-rich training regimes and observation-sparse deployment conditions remains a central challenge in spatiotemporal field reconstruction, particularly when target domains exhibit distributional shifts,…

Machine Learning · Computer Science 2026-01-30 Xingyue Zhang , Yuxuan Bao , Mars Liyao Gao , J. Nathan Kutz

We study high-dimensional sparse estimation under three natural constraints: communication constraints, local privacy constraints, and linear measurements (compressive sensing). Without sparsity assumptions, it has been established that…

Data Structures and Algorithms · Computer Science 2022-03-15 Jayadev Acharya , Clément L. Canonne , Ziteng Sun , Himanshu Tyagi

Finding statistically significant high-order interaction features in predictive modeling is important but challenging task. The difficulty lies in the fact that, for a recent applications with high-dimensional covariates, the number of…

Machine Learning · Statistics 2015-06-29 S. Suzumura , K. Nakagawa , K. Tsuda , I. Takeuchi

High-dimensional linear regression with interaction effects is broadly applied in research fields such as bioinformatics and social science. In this paper, we first investigate the minimax rate of convergence for regression estimation in…

Statistics Theory · Mathematics 2018-04-10 Chenglong Ye , Yuhong Yang

There is currently a large gap in performance between the statistically rigorous methods like linear regression or additive splines and the powerful deep methods using neural networks. Previous works attempting to close this gap have failed…

Machine Learning · Computer Science 2023-11-08 James Enouen , Yan Liu

Quadratic regression goes beyond the linear model by simultaneously including main effects and interactions between the covariates. The problem of interaction estimation in high dimensional quadratic regression has received extensive…

Methodology · Statistics 2019-01-23 Cheng Wang , Binyan Jiang , Liping Zhu

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

Additive nonparametric regression models provide an attractive tool for variable selection in high dimensions when the relationship between the response and predictors is complex. They offer greater flexibility compared to parametric…

Machine Learning · Statistics 2016-07-12 Garret Vo , Debdeep Pati

Data-driven discovery of model equations is a powerful approach for understanding the behavior of dynamical systems in many scientific fields. In particular, the ability to learn mathematical models from data would benefit systems biology,…

Machine Learning · Computer Science 2025-11-04 G. Pillonetto , A. Giaretta , A. Aravkin , M. Bisiacco , T. Elston

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. This paper develops a sparse additive model focused on estimation of treatment effect-modification with simultaneous…

Methodology · Statistics 2020-06-02 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

Interpretable machine learning has demonstrated impressive performance while preserving explainability. In particular, neural additive models (NAM) offer the interpretability to the black-box deep learning and achieve state-of-the-art…

Machine Learning · Statistics 2022-02-28 Shiyun Xu , Zhiqi Bu , Pratik Chaudhari , Ian J. Barnett

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. In this work we show how shape constraints such as convexity/concavity and their extensions, can be integrated into additive…

Machine Learning · Computer Science 2017-05-03 Junming Yin , Yaoliang Yu

We introduce a new algorithm, called adaptive sparse backfitting algorithm, for solving high dimensional Sparse Additive Model (SpAM) utilizing symmetric, non-negative definite smoothers. Unlike the previous sparse backfitting algorithm,…

Machine Learning · Statistics 2014-11-13 Yan Li

We present a new class of methods for high-dimensional nonparametric regression and classification called sparse additive models (SpAM). Our methods combine ideas from sparse linear modeling and additive nonparametric regression. We derive…

Statistics Theory · Mathematics 2008-04-09 Pradeep Ravikumar , John Lafferty , Han Liu , Larry Wasserman

Deep latent generative models have attracted increasing attention due to the capacity of combining the strengths of deep learning and probabilistic models in an elegant way. The data representations learned with the models are often…

Machine Learning · Computer Science 2023-04-04 Zhao Xu , Daniel Onoro Rubio , Giuseppe Serra , Mathias Niepert

Causal disentanglement has great potential for capturing complex situations. However, there is a lack of practical and efficient approaches. It is already known that most unsupervised disentangling methods are unable to produce identifiable…

Machine Learning · Computer Science 2023-11-14 Heejeong Nam
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