The codes for pattern regression based individualized behavioral prediction analysis. I have made substantial changes based on our previous codes in paper Cui and Gong, 2018, NeuroImage. I have tested these codes. If there is any problems, send email to [email protected].

We included detailed documentation of ridge regression and relevance vector regression (RVR) in the wiki https://github.com/ZaixuCui/Pattern_Regression_Clean/wiki. The usage of codes of linear regression, lasso and elastic-net is similar to that of ridge regression (https://github.com/ZaixuCui/Pattern_Regression_Clean/wiki/Ridge-regression-manual). The usage of codes of support vector regression is similar to that of relevance vector regression (https://github.com/ZaixuCui/Pattern_Regression_Clean/wiki/RVR-manual).

Citing our related paper will be greatly appreciated if you use these codes.
  Zaixu Cui, Gaolang Gong; 2018, The effect of machine learning regression algorithms and sample size on individualized behavioral prediction with functional connectivity features, NeuroImage, Volume 178, Pages 622-637
  Zaixu Cui, Mengmeng Su, Liangjie Li, Hua Shu, Gaolang Gong; 2018, Individualized Prediction of Reading Comprehension Ability Using Gray Matter Volume, Cerebral Cortex, Volume 28, Issue 5, Pages 1656–1672, https://doi.org/10.1093/cercor/bhx061
  Zaixu Cui, Zhichao Xia, Mengmeng Su, Hua Shu, Gaolang Gong, 2016. Disrupted white matter connectivity underlying developmental dyslexia: A machine learning approach. Hum Brain Mapp 37, 1443-1458.

The scikit-learn library (version: 0.16.1) was used to implement OLS regression, LASSO regression, ridge regression and elastic-net regression (http://scikit-learn.org/) (Pedregosa et al., 2011), the LIBSVM function in MATLAB was used to implement LSVR (https://www.csie.ntu.edu.tw/~cjlin/libsvm/) (Chang and Lin, 2011), the PRoNTo toolbox (http://www.mlnl.cs.ucl.ac.uk/pronto/) was used to implement RVR (Schrouff et al., 2013). Note: Codes for RVR will not work well in Matlab higher than 2012 version.

Generally, I like ridge regression and relevance vector regression algorithms, see Cui and Gong, 2018, NeuroImage.