Title: Using the latest Machine Learning techniques for non-linear regression and newly developed matrix inversion methods to calculate Photometric Redshifts in the Sloan Digital Sky Survey Abstract: I will quickly introduce galaxy photometric redshifts to this diverse audience. I will then discuss our program of calculating these redshifts using non-linear regression techiques from the Machine Learning Community and newly developed methods for inverting large non-sparse matrices that have made this technique very competitive. Collaborators: Ashok Srivastava (NASA/Ames, Intelligent System Division) Les Foster and students (San Jose State University, Department of Mathematics) Paul Gazis (NASA/Ames, Kepler Mission) Jeffrey Scargle (NASA/Ames, Space Sciences Division)