Laplace Variational Approximation for Semiparametric Regression in the Presence of Heteroskedastic Errors
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Summary
A mean field variational approximation with an embedded Laplace approximation to account for the nonconjugate structure is derived, which properly accounting for the smooth heteroscedasticity leads to significant improvements in posterior inference for key physical characteristics of an organic molecule.
- Type
- article
- Published
- 2016-01-02
- Cited by
- 5
- References
- 38
- Access
- Open access
- OpenAlex
- https://openalex.org/W27667910
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:22254059
Keywords
Human sexuality, Aged care, Permissive, Test (biology), Nursing
References
- Pattern Recognition and Machine Learning
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- On Information and Sufficiency
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- Variational inference in nonconjugate models
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- Variational Inference for Generalized Linear Mixed Models Using Partially Noncentered Parametrizations
- ON SEMIPARAMETRIC REGRESSION WITH O'SULLIVAN PENALIZED SPLINES
- Bayesian Methods for Neural Networks and Related Models
- Locally Adaptive Semiparametric Estimation of the Mean and Variance Functions in Regression Models
- Fixed-Form Variational Posterior Approximation through Stochastic Linear Regression
- Using Infer.NET for Statistical Analyses
- Spatially Adaptive Bayesian Penalized Splines With Heteroscedastic Errors
- Variational Bayesian Inference for Parametric and Nonparametric Regression With Missing Data
- Explaining Variational Approximations
- Data augmentation for support vector machines
- DRAM: Efficient adaptive MCMC
- Determination of the molecular weight of proteins in solution from a single small-angle X-ray scattering measurement on a relative scale
- Splines, knots, and penalties
Cited by
- Variational Inference: A Review for Statisticians
- Variational inference for heteroscedastic and longitudinal regression models
- Minimum Mean Squared Error Estimation of the Radius of Gyration in Small-Angle X-Ray Scattering Experiments
- Variational Bayesian Learning and Semiparametric Models on the Double Exponential Family
- Escalating burden and spatial clustering of multidrug-resistant Pseudomonas aeruginosa in belize: A nationwide retrospective analysis, 2018–2024
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