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In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
Advances in Convex Optimization:Interior-point Methods,Cone Programming, and Applications
Advances in Convex Optimization Interior-point Methods Cone Programming Applications
2015/7/10
In this talk I will give an overview of some major developments in convex optimization that have emerged over the last ten years or so. The basic idea is that convex problems are fundamentally tractab...
Compressed Sensing Based Cone-Beam Computed Tomography Reconstruction with a First-Order Method
cone-beam computed tomography compressed sensing weighted least-squares
2015/7/9
This article considers the problem of reconstructing cone-beam computed tomography (CBCT) images from a set of undersampled and potentially noisy projection measurements. The authors cast the reconstr...
Code Generation for Embedded Second-Order Cone Programming
Code Generation Embedded Second-Order Cone Programming
2015/7/9
This paper describes a framework for generating easily verifiable code to solve convex optimization problems in embedded applications by transforming them into equivalent second-order cone programs. I...