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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...
Detecting sparse cone alternatives for Gaussian random fields, with an application to fMRI
random elds Euler characteristic kinematic formulae volumes of tubes expansion order-restricted inference multivari-ate one-sided hypotheses non-negative least squares.
2012/9/19
Our problem is to nd a good approximation to the P-value of the maximum of a random eld of test statistics for a cone alternative at each point in a sample of Gaussian random elds. These test stati...
A simple and numerical stable algorithm for solving the cone projection problem based on a Gram-Schmidt process
cone projection algorithm convexity constraints convexity test simulations Gram-Schmidt
2012/9/19
We are presenting a simple and numerical stable algorithm for the solution of the cone projection problem which is suitable for relative small data sets and for simulation purposes needed for con-vexi...
Exist time and Green function of cone for symmetric stable processes
symmetric stable process harmonic measure Green function exit time cone
2009/9/22
We obtain estimates of the harmonic measure and the
expectation of the exit time of a bounded cone for symmetric a-stable
processes XI in Rd (a~(O,2)d, 2 3). This enables us to study the
asymptotic...
Size-and-Shape Cone, Shape Disk and Configuration Densities for the Elliptical Models
Size-and-Shape Cone Shape Disk Configuration Densities the Elliptical Models
2009/9/17
Size-and-Shape Cone, Shape Disk and Configuration Densities for the Elliptical Models。