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Journal of the American Statistical Association Volume 113, 2018 - Issue 521
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Theory and Methods

Group Regularized Estimation Under Structural Hierarchy

Yiyuan SheDepartment of Statistics, Florida State University, Tallahassee, FL
,
Zhifeng WangDepartment of Statistics, Florida State University, Tallahassee, FL
&
He JiangDepartment of Statistics, Florida State University, Tallahassee, FL
Pages 445-454 | Received 01 Nov 2015, Published online: 16 May 2018

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Xiao Zhang, Xingjie Shi, Yiming Liu, Xu Liu & Shuangge Ma. (2023) A General Framework for Identifying Hierarchical Interactions and Its Application to Genomics Data. Journal of Computational and Graphical Statistics 32:3, pages 873-883.
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Jingfei Zhang & Yi Li. (2023) High-Dimensional Gaussian Graphical Regression Models with Covariates. Journal of the American Statistical Association 118:543, pages 2088-2100.
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Robert Tibshirani & Jerome Friedman. (2020) A Pliable Lasso. Journal of Computational and Graphical Statistics 29:1, pages 215-225.
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Cheng Wang, Haozhe Chen & Binyan Jiang. (2024) HiQR: An efficient algorithm for high-dimensional quadratic regression with penalties. Computational Statistics & Data Analysis 192, pages 107904.
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He Jiang. (2022) A novel robust structural quadratic forecasting model and applications. Journal of Forecasting 41:6, pages 1156-1180.
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Sanying Feng, Xinyu Zhang, Hui Liang & Lifang Pei. (2022) Model selection for functional linear regression with hierarchical structure. Brazilian Journal of Probability and Statistics 36:2.
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Xingkai Wen & Zhiji Yang. (2022) Classification efficiency of LassoNet model in image recognition. Classification efficiency of LassoNet model in image recognition.
Sanying Feng, Menghan Zhang & Tiejun Tong. (2021) Variable selection for functional linear models with strong heredity constraint. Annals of the Institute of Statistical Mathematics 74:2, pages 321-339.
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Dewei Zhang, Yin Liu & Sam Davanloo Tajbakhsh. (2022) A First-Order Optimization Algorithm for Statistical Learning with Hierarchical Sparsity Structure. INFORMS Journal on Computing 34:2, pages 1126-1140.
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Feng Li, Yajie Li & Sanying Feng. (2021) Estimation for Varying Coefficient Models with Hierarchical Structure. Mathematics 9:2, pages 132.
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Florent Guinot, Marie Szafranski, Julien Chiquet, Anouk Zancarini, Christine Le Signor, Christophe Mougel & Christophe Ambroise. (2020) Fast computation of genome-metagenome interaction effects. Algorithms for Molecular Biology 15:1.
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Mingyuan Jiu, Nelly Pustelnik, Stefan Janaqi, Mériam Chebre, Lin Qi & Philippe Ricoux. (2019) Sparse Hierarchical Interaction Learning with Epigraphical Projection. Journal of Signal Processing Systems 92:7, pages 637-654.
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Sanguo Zhang, Yuan Xue, Qingzhao Zhang, Chenjin Ma, Mengyun Wu & Shuangge Ma. (2019) Identification of gene–environment interactions with marginal penalization. Genetic Epidemiology 44:2, pages 159-196.
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Shaocheng Guo, Songcan Chen & Qing Tian. (2019) Ordinal factorization machine with hierarchical sparsity. Frontiers of Computer Science 14:1, pages 67-83.
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Yao Dong & He Jiang. (2018) A Two-Stage Regularization Method for Variable Selection and Forecasting in High-Order Interaction Model. Complexity 2018, pages 1-12.
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Xiaohan Yan & Jacob Bien. (2017) Hierarchical Sparse Modeling: A Choice of Two Group Lasso Formulations. Statistical Science 32:4.
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