Everything about Generalized functional linear model
Mathematical model for stochastic processes
The generalized functional linear model (GFLM) is an extension of the generalized linear model (GLM) that allows one to regress univariate responses of various types on functional predictors, which are mostly random trajectories generated by a square-integrable stochastic processes. Similarly to GLM, a link function relates the expected value of the response variable to a linear predictor, which in case of GFLM is obtained by forming the scalar product of the random predictor function with a smooth parameter function. Functional Linear Regression, Functional Poisson Regression and Functional Binomial Regression, with the important Functional Logistic Regression included, are special cases of GFLM. Applications of GFLM include classification and discrimination of stochastic processes and functional data. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Generalized functional linear modelA 5-minute orientation
- Skim a recent paper: Truncated estimation in functional generalized linear regression modelsInfluential work since 2022
- Pick up a classic book: Тензорная тригонометрияThe most-reprinted book on the subject
- Read the landmark paper: Generalized functional linear modelsCited 449 times
- Go sideways: Functional additive modelA closely related topic
- Go sideways: Variance functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Generalized functional linear models
Generalized Linear Models with Functional Predictors
Functional Generalized Linear Models with Images as Predictors
Variable selection in generalized functional linear models
Nonparametric inference in generalized functional linear models
Covariate‐adjusted region‐referenced generalized functional linear model for EEG data
Generalized least squares estimation of the functional multivariate linear errors-in-variables model
Extending the Functional Subnetwork Approach to a Generalized Linear Integrate-and-Fire Neuron Model
🆕 Influential since 2022
Truncated estimation in functional generalized linear regression models
Unveiling Schizophrenia: a study with generalized functional linear mixed model via the investigation of functional random effects
Generalized Partially Functional Linear Model with Interaction between Functional Predictors
Generalized functional linear model with a point process predictor
Generalized signed-rank estimation and selection for the functional linear model
📚 Books worth reading
Тензорная тригонометрияNinul Anatoly Sergeevich · 2004
The linear theory of Colombeau generalized functionsM. Nedeljkov, M Nedeljkov · 1998
Generalized concavity in fuzzy optimization and decision analysisJaroslav Ramík, Jaroslav Ramík · 2001
Optimization of Objective FunctionsNinul Anatoly Sergeevich · 2009- 📕Ridge Functions and Applications in Neural NetworksVugar E. Ismailov · 2021
- 📕Advances in Harmonic Analysis and Partial Differential EquationsDonatella Danielli, Irina Mitrea · 2020
- 📕Ordered Algebraic Structures and Related TopicsFabrizio Broglia, Francoise Delon · 2017
- 📕Random operatorsMichael Aizenman · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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