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QoS and fairness constrained convex optimization of resource allocation for wireless cellular and ad hoc networks
Wireless cellular network distribution network resources optimization
2015/8/11
For wireless cellular and ad hoc networks with QoS constraints, we propose a suite of problem formulations that allocate network resources to optimize SIR, maximize throughput, and minimize delay. The...
Tractable fitting with convex polynomials via sum-of-squares
Set data the sum of squares polynomial convex piecewise polynomial piecewise polynomial set
2015/8/10
We consider the problem of fitting given data(u1, y1),...,(um, ym) where ui ∈ Rn and yi ∈ R with a convex polynomial f. A technique to solve this problem using sum of squares polynomials is pres...
Automatic code generation for real-time convex optimization
Convex optimization embedded systems signal processing automatic control data
2015/8/7
This chapter concerns the use of convex optimization in real-time embedded systems, in areas such as signal processing, automatic control, real-time estimation, real-time resource allocation and decis...
Real-time convex optimization in signal processing
Convex optimization signal processing coefficient of algorithm filtering array design
2015/8/7
Convex optimization has been used in signal processing for a long time, to choose coefficients for use in fast (linear) algorithms, such as in filter or array design; more recently, it has been used t...
Templates for Convex Cone Problems with Applications to Sparse Signal Recovery
Optimal first-order methods Nesterov’s accelerated descent algorithms proximal algorithms conic duality smoothing by conjugation the Dantzig selector the LASSO nuclearnorm minimization
2015/6/17
This paper develops a general framework for solving a variety of convex cone problems that frequently arise in signal processing, machine learning, statistics, and other fields. The approach works as ...
PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
Exact and Stable Signal Recovery Magnitude Measurements Convex Programming
2015/6/17
Suppose we wish to recover a signal x ∈ Cn from m intensity measurements of the form |hx, zii|2, i = 1, 2, . . . , m; that is, from data in which phase information is missing. We prove that if the vec...