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A Casual Chat on Convex Optimization in Machine Learning Data Mining at Iowa Group Qihang Lin 02/09/2014 Optimization Models in Machine Learning • • • • • • LASSO Graphical LASSO Matrix Completion Robust PCA SVM …… LASSO • • • • • • • Linear Regression Ridge Regression L1-Regularized Regression Elastic Net Regression Fused LASSO Group LASSO Multi-Task LASSO Graphical LASSO Matrix Completion Robust PCA 𝐶 =𝐵+𝐴 𝐶 = 𝑈Λ𝑉 𝑇 http://perception.csl.illinois.edu/matrix-rank/introduction.html#PCA SVM Convex Optimization Algorithms • • • • Proximal Gradient Frank-Wolfe (Conditional Gradient) Alternating Direction Method of Multipliers Coordinate Descent