Everything about Functional regression
Type of regression analysis
Functional regression is a version of regression analysis when responses or covariates include functional data. Functional regression models can be classified into four types depending on whether the responses or covariates are functional or scalar: (i) scalar responses with functional covariates, (ii) functional responses with scalar covariates, (iii) functional responses with functional covariates, and (iv) scalar or functional responses with functional and scalar covariates. In addition, functional regression models can be linear, partially linear, or nonlinear. In particular, functional polynomial models, functional single and multiple index models and functional additive models are three special cases of functional nonlinear models. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Functional regressionA 5-minute orientation
- Skim a recent paper: Functional linear regression with Huber lossInfluential work since 2022
- Pick up a classic book: Gaussian process regression analysis for functional dataThe most-reprinted book on the subject
- Read the landmark paper: Prediction in functional linear regressionCited 424 times
- Go sideways: Functional data analysisA closely related topic
- Go sideways: Lasso (statistics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Prediction in functional linear regression
Functional Regression
Penalized Functional Regression
Functional linear regression that’s interpretable
Partial functional linear regression
Functional quadratic regression
Generalized Multilevel Functional Regression
Functional sliced inverse regression analysis
🆕 Influential since 2022
📚 Books worth reading
- 📕Gaussian process regression analysis for functional dataJian Qing Shi · 2011
L₁-statistical analysis and related methodsYadolah Dodge · 1992
Biological aging measurementWard Dean · 1986- 📕Metric relationships transformed into sign relationshipsTore Thonstad · 1961
Focus on Nonlinear Analysis Research · 2013- 📕On the identification and estimation of multiple input transfer function models with autocorrelated errorsMarkku Rahiala · 1985
- 📕The negative exponential with cumulative errorM. Bryan Danford · 1968
- 📕Local bandwidth selection in nonparametric kernel regressionMichael Brockmann · 1993
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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