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This documentation is for astroML version 0.4

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Chapter 8: Regression and Model Fitting

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Chapter 8: Regression and Model Fitting¶

This chapter covers linear and nonlinear regression and model fitting, including strategies which are robust to data error and the presence of outliers.

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Inline Bayesian Linear Regression¶

../../_images/fig_regression_mu_z_1_thumb.png

Cosmology Regression Example¶

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Ridge and Lasso: Geometric Interpretation¶

../../_images/fig_rbf_ridge_mu_z_1_thumb.png

Regularized Regression Example¶

../../_images/fig_nonlinear_mu_z_1_thumb.png

Nonlinear cosmology fit to mu vs z¶

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Total Least Squares Figure¶

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Huber Loss Function¶

../../_images/fig_huber_loss_1_thumb.png

Huber Loss Function¶

../../_images/fig_outlier_rejection_1_thumb.png

Perform Outlier Rejection with MCMC¶

../../_images/fig_gp_example_1_thumb.png

Gaussian Process Example¶

../../_images/fig_gp_mu_z_1_thumb.png

Cosmology Regression Example¶

../../_images/fig_cross_val_A_1_thumb.png

Cross Validation Examples: Part 1¶

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Cross Validation Examples: part 2¶

../../_images/fig_cross_val_C_1_thumb.png

Cross Validation Examples¶

../../_images/fig_cross_val_D_1_thumb.png

Cross Validation Examples: Part 4¶