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3 papers
Spectrum of Fractal Interpolation Functions
Nikolaos Vasiloglou, Petros Maragos
In this paper we compute the Fourier spectrum of the Fractal Interpolation Functions FIFs as introduced by Michael Barnsley. We show that there is an analytical way to compute them…
Learning Isometric Separation Maps
Nikolaos Vasiloglou, Alexander G. Gray, David V. Anderson
Maximum Variance Unfolding (MVU) and its variants have been very successful in embedding data-manifolds in lower dimensional spaces, often revealing the true intrinsic dimension. I…
Non-Negative Matrix Factorization, Convexity and Isometry
Nikolaos Vasiloglou, Alexander G. Gray, David V. Anderson
In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data…