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Geometric programming duals of channel capacity and rate distortion
Channel capacity convex optimization duality free energy geometric programming rate distortion
2015/8/11
We show that the Lagrange dual problems of the channel capacity problem with input cost and the rate distortion problem are simple geometric programs. Upper bounds on channel capacity and lower bounds...
Geometric programming applications to EDA problems
Distributed sensor network sensor linear measurement gaussian noise the data
2015/8/11
Geometric programming (GP) describes a type of optimization problem that has been known since the 1970s, but recently has attracted more attention for several reasons. The first is the development of ...
Power control in lognormal fading wireless channels with uptime probability specifications via robust geometric programming
Lognormal decline power control wireless transmitter random geometry application geometric programming
2015/8/10
This paper concerns power control in lognormal fading wireless channels with correlated interference. We consider an outage-based quality of service (QoS) specification, which requires the uptime prob...
A tutorial on geometric programming
Convex optimization Geometric programming Generalized geometric programming Interior-point methods
2015/8/10
A geometric program (GP) is a type of mathematical optimization problem characterized by objective and constraint functions that have a special form. Recently developed solution methods can solve even...
Optimized slowdown in real-time task systems via geometric programming
Reduction system optimize the slow periodicity power characteristics slow factors
2015/8/10
In “Optimized slowdown in real-time task systems”, Jejurikar and Gupta investigated energy savings due to optimal slowdown of periodic tasks in real-time task systems, where tasks have varying power c...
Tractable approximate robust geometric programming
Geometric programming linear programming piecewise-linear function robust geometric programming robust linear programming robust optimization
2015/8/10
The optimal solution of a geometric program (GP) can be sensitive to variations in the problem data. Robust geometric programming can systematically alleviate the sensitivity problem by explicitly inc...