Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models
Explore this paper's citation graph
Summary
It is proposed that GAM's with a ridge penalty provide a practical solution in such circumstances, and a multiple smoothing parameter selection method suitable for use in the presence of such a penalty is developed.
- Type
- article
- Published
- 2004-09-01
- Cited by
- 1,998
- References
- 35
- Access
- Open access
- OpenAlex
- https://openalex.org/W2009499611
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:55942350
Keywords
Smoothing, Model selection, Generalized additive model, Mathematics, Mathematical optimization
References
- Semiparametric Analysis of Variance with Tensor Product Thin Plate Splines
- Generalized Linear Models, 2nd Edn.
- Smoothing Spline Anova Models
- Some Aspects of the Spline Smoothing Approach to Non‐Parametric Regression Curve Fitting
- Discriminant Analysis by Gaussian Mixtures
- Generalized Linear Models (2nd ed.)
- Penalized likelihood regression: General formulation and efficient approximation
- Smoothing spline ANOVA for exponential families, with application to the Wisconsin Epidemiological Study of Diabetic Retinopathy : the 1994 Neyman Memorial Lecture
- Direct generalized additive modeling with penalized likelihood
- Statistical Models in S
- Asymptotic normality of a random point field characteristic
- Approximate inference in generalized linear mixed models
- Fundamentals of matrix computations
- Mixed-Effects Models in S and S-Plus
- Cross-Validating Non-Gaussian Data
- A Comparison of GCV and GML for Choosing the Smoothing Parameter in the Generalized Spline Smoothing Problem
- Automatic Smoothing of Regression Functions in Generalized Linear Models
- Modelling and smoothing parameter estimation with multiple quadratic penalties
- Smoothing noisy data with spline functions
- Thin plate regression splines
Cited by
- Emergence of Asiatic Vibrio Diseases in South America in Phase With El Niño
- Impact of extreme climate and bioinvasion on temporal coupling of spring herring (Clupea harengus m.) larvae and their prey.
- Longitudinal Development of Manual Motor Ability in Autism Spectrum Disorder from Childhood to Mid-Adulthood Relates to Adaptive Daily Living Skills
- Additive Function-on-Function Regression
- Correlates of Sexually Transmitted Infections among South African Women Using Individual and Community Level Factors: Results from Generalized Additive Mixed Models
- Simultaneous Confidence Bands for the Coefficient Function in Functional Regression
- Heterogeneity in Childhood Body Mass Trajectories in relation to Prenatal Phthalate Exposure
- STATISTICAL METHODS FOR EXPLORING NEURONAL INTERACTIONS
- Impacts of Title I Supplemental Educational Services on Student Achievement. Executive Summary. NCEE 2012-4054.
- Bayesian Smoothing of Irregularly-spaced Data Using Fourier Basis Functions
- A Dendrochronological Approach for Analyzing the Geographic Range Structure of Tree Species
- Hybridization as a stimulus for adaptation to a novel environment
- Penalized likelihood estimation of a fixed-effect and a mixed-effect transfer function model
- Investigation into the extent of lipid turnover in the mammalian lens
- Méthodes d'évaluation des ressources marines vivantes pour une exploitation durable
- The changing face of Andean peatlands: the effects of climate and human disturbance on ecosystem structure and function
- The effect of flow on the macrozoobenthos structure in a re-opened oxbow lake: a case study of the Slupia River, northern Poland.
- Some Problems in Model Specification and Inference for Generalized Additive Models
- Population genetics and behavioural ecology of North Atlantic minke whales (Balaenoptera acutorostrata)
- AJAE Appendix for “Agricultural Payments and Land Concentration: A Semi-parametric Spatial Regression Analysis”
Related papers
- Partial regression method to fit a generalized additive model
- GENERALIZED ADDITIVE MODELS FOR DATA WITH CONCURVITY: STATISTICAL ISSUES AND A NOVEL MODEL FITTING APPROACH
- Reluctant additive modeling
- Reluctant generalized additive modeling
- Generalized Additive Modelling of Dependent Frequency and Severity Distributions for Aggregate Claims