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Advances in convex optimization: Interior-point methods, cone programming, and applications
Convex optimization linear programming nonlinear convex programming program robust
2015/8/11
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...
An efficient method for large-scale l1-regularized convex loss minimization
Convex loss logistic regression newsgroups data set
2015/8/10
Convex loss minimization with l1 regularization has been proposed as a promising method for feature selection in classification (e.g., l1-regularized logistic regression) and regression (e.g., l1-regu...
Temperature-aware processor frequency assignment for MPSoCs using convex optimization
Temperature-aware thermal MPSoCs convex optimization
2015/8/10
The increasing processing capability of Multi-Processor Systems-on-Chips (MPSoCs) is leading to an increase in chip power dissipation, which in turn leads to significant increase in chip temperature. ...
Temperature control of high-performance multi-core platforms using convex optimization
Thermal-aware design temperature control dynamic frequency scaling static and dynamic optimization
2015/8/10
With technology advances, the number of cores integrated on a chip and their speed of operation is increasing. This, in turn is leading to a significant increase in chip temperature. Temperature gradi...
CVXGEN: A Code Generator for Embedded Convex Optimization
Convex optimization Code generation Embedded optimization
2015/8/7
CVXGEN is a software tool that takes a high level description of a convex optimization problem family, and automatically generates custom C code that compiles into a reliable, high speed solver for th...
PID design by convex-concave optimization
PID controller optimize the design can robustness constraints convex-concave programming data
2015/8/7
This paper describes how PID controllers can be designed by optimizing performance subject to robustness constraints. The optimization problem is solved using convex-concave programming. The method ad...
Variations and extensions of the convex-concave procedure
Convex-concave process convex optimization programming standard procedures initialization algorithm
2015/8/7
We investigate the convex-concave procedure (CCP), a local heuristic that utilizes the tools of convex optimization to find local optima of difference of convex (DC) programming problems. The class of...
Matrix-free convex optimization modeling
Convex optimization modeling framework convex optimization into the program linear function matrix graphic coding
2015/8/7
We introduce a convex optimization modeling framework that transforms a convex optimization problem expressed in a form natural and convenient for the user into an equivalent cone program in a way tha...
Disciplined convex stochastic programming: A new framework for stochastic optimization
Convex stochastic programming modeling mathematics DCSP modeling
2015/8/7
We introduce disciplined convex stochastic programming (DCSP), a modeling framework that can significantly lower the barrier for modelers to specify and solve convex stochastic optimization problems, ...
Design of stabilizing state feedback for delay systems via convex optimization
stabilizing state feedback delay systems convex optimization
2015/7/13
For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay ...
Closed-Loop Convex Formulation of Classical and Singular Value Loop Shaping
Closed-Loop Convex Formulation Classical Singular Value Loop Shaping
2015/7/13
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Efficient Convex Optimization for Engineering Design
Optimization numerical methods linear programming robust control convex programming interior-point methods
2015/7/13
Many problems in engineering analysis and design can be cast as convex optimization problems, often nonlinear and nondifferentiable. We give a high-level description of recently developed interior-poi...
Semidefinite Programming Relaxations of Non-Convex Problems in Control and Combinatorial Optimization
Semidefinite Programming Relaxations Non-Convex Problems Control Combinatorial Optimization
2015/7/13
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
Antenna Array Pattern Synthesis via Convex Optimization
Antenna Array Pattern Synthesis Convex Optimization
2015/7/13
We show that a variety of antenna array pattern synthesis problems can be expressed as convex optimization problems, which can be (numerically) solved with great efficiency by recently developed inter...
FIR Filter Design via Spectral Factorization and Convex Optimization
FIR Filter Design Spectral Factorization Convex Optimization
2015/7/13
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...