Research Interest: Applied and computational harmonic analysis; graph signal processing and analysis, statistical signal/image processing and analysis; feature extraction, pattern recognition, classification, and regression; data compression; elliptic PDEs, Laplacian eigenfunctions, boundary value problems, potential theory; geophysical inverse problems; human and machine perception (auditory and visual systems); computationalneuroscience; data sonification

Five Relevant Publications:

1. N. Saito and Y. Shao, "eGHWT: The extended Generalized Haar-Walsh Transform," Journal of Mathematical Imaging and Vision, 64(3), 261-283, 2022.
2. A. Cloninger, H. Li, and N. Saito, "Natural graph wavelet packet dictionaries," special issue on Harmonic Analysis on Combinatorial Graphs, Journal of Fourier Analysis and Applications, 27, Article #41, 2021.
3. J. Irion and N. Saito, "Efficient approximation and denoising of graph signals using the multiscale basis dictionaries," IEEE Transactions on Signal and Information Processing over Networks, 3(3), 607-616, 2017.
4. Y. Nakatsukasa, N. Saito, and E. Woei, "Mysteries around the graph Laplacian eigenvalue 4," Linear Algebra and its Applications, 438(8), 3231-3246, 2013.
5. N. Saito, " Data analysis and representation on a general domain using eigenfunctions of Laplacian," Applied and Computational Harmonic Analysis, 25(1), 68-97, 2008.