24 August 2017 Framed frames for data frames
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Abstract
We present a computationally efficient, data-driven procedure for constructing linear isometric embeddings of high-dimensional data (data frames) into spaces of smooth images, and thereby obtain tight frame dictionaries for the data space using tight frame dictionaries for the image space (“framed frames” – wavelets, curvelets, shearlets, etc.). Experiments indicate that data are more compressible in these induced dictionaries when compared to compressibility in terms of principal components.
Conference Presentation
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Nate Strawn, "Framed frames for data frames", Proc. SPIE 10394, Wavelets and Sparsity XVII, 103941A (24 August 2017); doi: 10.1117/12.2274778; https://doi.org/10.1117/12.2274778
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