Harmonic Analysis and Big Data

Reading Materials:

W. Czaja, E. J. King, Anisotropic shearlet transforms for L^2(R^k) Mathematische Nachrichten vol. 287, no. 8-9, pp 903--916, (2014).

M. Belkin, P. Niyogi, Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput. 13, 1373-1397 (2003)

R.R. Coifman, S. Lafon, Diffusion maps, Applied and Computational Harmonic Analysis, Vol 21, July 2006, pp 5-30.

W. Czaja, M. Ehler, Schroedinger Eigenmaps for the Analysis of Bio-Medical Data, IEEE Trans. Pattern Anal. Mach. Intell., vol. 35(5) (2013), pp. 1274-1280.

W. Sun, A. Halevy, J. J. Benedetto, W. Czaja, W. Li, C. Liu, B. Shi, R. Wang, Nonlinear dimensionality reduction via the ENH-LTSA method for hyperspectral image classification, IEEE J-STARS, vol. 7 (2014), no. 2, pp. 375-387

Lecture Notes: L1-2 , L3-4 , L5-6