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Optimization methods for frame conditioning and application to graph Laplacian scaling

A frame is scalable if each of its vectors can be rescaled in such a way that the resulting set becomes a Parseval frame. In this paper, we consider four different optimization problems for determining if a frame is scalable. We offer some algorithms to solve these problems. We then apply and extend our methods to the problem of reweighing (finite) graph so as to minimize the condition number of the resulting Laplacian.

preprint2016arXivOpen access
Radu BalanMathew BeguéChae ClarkKasso A. Okoudjou
math.OCmath.FA
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Open access4 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Radu BalanMathew BeguéChae ClarkKasso A. Okoudjou

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