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Additive model information


In statistics, an additive model (AM) is a nonparametric regression method. It was suggested by Jerome H. Friedman and Werner Stuetzle (1981)[1] and is an essential part of the ACE algorithm. The AM uses a one-dimensional smoother to build a restricted class of nonparametric regression models. Because of this, it is less affected by the curse of dimensionality than a p-dimensional smoother. Furthermore, the AM is more flexible than a standard linear model, while being more interpretable than a general regression surface at the cost of approximation errors. Problems with AM, like many other machine-learning methods, include model selection, overfitting, and multicollinearity.

  1. ^ Friedman, J.H. and Stuetzle, W. (1981). "Projection Pursuit Regression", Journal of the American Statistical Association 76:817–823. doi:10.1080/01621459.1981.10477729

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Additive model

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In statistics, an additive model (AM) is a nonparametric regression method. It was suggested by Jerome H. Friedman and Werner Stuetzle (1981) and is an...

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Generalized additive model

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In statistics, a generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth...

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Functional additive models

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In statistics, functional additive models (FAM) can be viewed as extensions of generalized functional linear models where the linearity assumption between...

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Color mixing

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color mixing models, depending on the relative brightness of the resultant mixture: additive, subtractive, and average. In these models, mixing black...

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Additive

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an arithmetic concept Additive color, as opposed to subtractive color Additive model, a statistical regression model Additive synthesis, an audio synthesis...

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Primary color

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combination of primary colors can be predicted by an appropriate mixing model (e.g., additive, subtractive) that reflects the physics of how light interacts with...

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Additive color

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Additive color or additive mixing is a property of a color model that predicts the appearance of colors made by coincident component lights, i.e. the perceived...

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RGB color model

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The RGB color model is an additive color model in which the red, green and blue primary colors of light are added together in various ways to reproduce...

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Analysis of variance

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the partitioning of sums of squares, experimental techniques and the additive model. Laplace was performing hypothesis testing in the 1770s. Around 1800...

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Ensemble learning

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each next base model on the up-weighted errors of the previous base model’s errors, producing an additive model to reduce the final model errors — also...

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Magenta

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is a purplish-red color. On color wheels of the RGB (additive) and CMY (subtractive) color models, it is located precisely midway between blue and red...

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Generalized linear model

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multilevel models and as mixed model. In general, fitting GLMMs is more computationally complex and intensive than fitting GEEs. Generalized additive models (GAMs)...

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Projection pursuit regression

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statistical model developed by Jerome H. Friedman and Werner Stuetzle that extends additive models. This model adapts the additive models in that it first...

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Functional regression

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functional additive models are three special cases of functional nonlinear models. Functional linear models (FLMs) are an extension of linear models (LMs)...

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3D printing

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3D printing or additive manufacturing is the construction of a three-dimensional object from a CAD model or a digital 3D model. It can be done in a variety...

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Functional data analysis

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models, functional single and multiple index models and functional additive models are three special cases of functional nonlinear regression models....

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Decomposition of time series

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an additive model can be thought of as y t = T t + C t + S t + I t , {\displaystyle y_{t}=T_{t}+C_{t}+S_{t}+I_{t},} whereas a multiplicative model would...

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Additive synthesis

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Additive synthesis example A bell-like sound generated by additive synthesis of 21 inharmonic partials Problems playing this file? See media help. Additive...

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CMYK color model

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and white light minus blue leaves yellow. In additive color models, such as RGB, white is the "additive" combination of all primary colored lights, and...

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Threshold model

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Visscher & Wray 2015, "Concepts and Misconceptions about the Polygenic Additive Model Applied to Disease", Hilker et al. 2017, "Heritability of schizophrenia...

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LogitBoost

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framework. Specifically, if one considers AdaBoost as a generalized additive model and then applies the cost function of logistic regression, one can derive...

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Data envelopment analysis

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a model". Omega. 44 (C): 1–4. doi:10.1016/j.omega.2013.09.004. Cooper, William Wager; Seiford, Lawrence; Zhu, Joe (2000). "A unified additive model approach...

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Backfitting algorithm

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fit a generalized additive model. It was introduced in 1985 by Leo Breiman and Jerome Friedman along with generalized additive models. In most cases, the...

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Multivariate adaptive regression spline

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partitioning that allows for continuous models, which can provide a better fit for numerical data. Generalized additive models. Unlike MARS, GAMs fit smooth loess...

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Additive smoothing

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In statistics, additive smoothing, also called Laplace smoothing or Lidstone smoothing, is a technique used to smooth count data, eliminating issues caused...

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Vector generalized linear model

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Tibshirani, R. J. (1990). Generalized Additive Models. London:Chapman and Hall. Wood, S. N. (2017). Generalized Additive Models: An Introduction with R (second ed...

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