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Graph Implementations for Nonsmooth Convex Programs
Convex optimization nonsmooth optimization optimization modeling languages semidefinite programming
2015/7/9
We describe graph implementations, a generic method for representing a convex function via its epigraph, described in a disciplined convex programming framework. This simple and natural idea allows a ...
Robust Beamforming via Worst-Case SINR Maximization
Beamforming convex optimization signal-to-interference-plus-noise ratio (SINR)
2015/7/9
Minimum variance beamforming, which uses a weight vector that maximizes the signal to interference plus noise ratio (SINR), is often sensitive to estimation error and uncertainty in the parameters, st...
A Minimax Theorem with Applications to Machine Learning, Signal Processing, and Finance
convex optimization minimax theorem robust optimization
2015/7/9
This paper concerns a fractional function of the form x^Ta/sqrt{x^TBx}, where B is positive definite. We consider the game of choosing x from a convex set, to maximize the function, and choosing (a,B)...
Linear Models Based on Noisy Data and the Frisch Scheme
linear models factor analysis identifi cation
2015/7/8
We address the problem of identifying linear relations among variables based on noisy measurements. This is a central question in the search for structure in large data sets. Often a key assumption is...