Online Smooth Backfitting for Generalized Additive Models

We propose an online smoothing backfitting method for generalized additive models coupled with local linear estimation. The idea can be extended to general nonlinear optimization problems. The strategy is to use an appropriate-order expansion to approximate the nonlinear equations and store the coef...

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Bibliographic Details
Published in:Journal of the American Statistical Association Vol. 119; no. 546; pp. 1215 - 1228
Main Authors: Yang, Ying, Yao, Fang, Zhao, Peng
Format: Journal Article
Language:English
Published: Alexandria Taylor & Francis 02.04.2024
Taylor & Francis Ltd
Subjects:
Additives
Algorithmic convergence
Algorithms
Americans
Candidates
Computation
Computational efficiency
cost effectiveness
equations
Estimation
Internet
Nonlinear equations
Online learning
Optimization
Statistical efficiency
Statistics
Streaming data
system optimization
ISSN:0162-1459, 1537-274X, 1537-274X
Online Access:Get full text
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Summary:We propose an online smoothing backfitting method for generalized additive models coupled with local linear estimation. The idea can be extended to general nonlinear optimization problems. The strategy is to use an appropriate-order expansion to approximate the nonlinear equations and store the coefficients as sufficient statistics which can be updated in an online manner by the dynamic candidate bandwidth method. We investigate the statistical and algorithmic convergences of the proposed method. By defining the relative statistical efficiency and computational cost, we further establish a framework to characterize the tradeoff between estimation performance and computation performance. Simulations and real data examples are provided to illustrate the proposed method and algorithm. Supplementary materials for this article are available online.
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ISSN:0162-1459
1537-274X
1537-274X
DOI:10.1080/01621459.2023.2182213