Web Page: http://www.math.ucdavis.edu/~saito/
Office: MSB 2142
Naoki Saito’s research focus has been on applied and computational harmonic analysis, which is a discipline to study:
- efficient, meaningful, and interpretable representations of data objects (e.g., signals and images) and operators (e.g., singular integral operators) defined on various domains (e.g., regular lattices; manifolds; or graphs);
- fast computational algorithms to operate on them; and
- their wide-range applications including those in computer science, electrical engineering, geophysics, neuroscience, and statistics.
- 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.
- 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.
- Y. Nakatsukasa, N. Saito, and E. Woei, "Mysteries around the graph Laplacian eigenvalue 4," Linear Algebra and its Applications, 438(8), 3231-3246, 2013.
- N. Saito, " Data analysis and representation on a general domain using eigenfunctions of Laplacian," Applied and Computational Harmonic Analysis, 25(1), 68-97, 2008.
- K. Yamatani and N. Saito, "Improvement of DCT-based compression algorithms using Poisson's equation," IEEE Transactions on Image Processing, 15(12), 3672-3689, 2006.
- N. Saito, R. R. Coifman, F. B. Geshwind, and F. Warner, "Discriminant feature extraction using empirical probability density estimation and a local basis library," Pattern Recognition, 35(12), 2841-2852, 2002.
- N. Saito, "Image approximation and modeling via least statistically-dependent bases," Pattern Recognition, 34(9), 1765-1784, 2001.
- N. Saito and R. R. Coifman, "Local discriminant bases and their applications," Journal of Mathematical Imaging and Vision, 5(4), 337-358, 1995.
- N. Saito, "Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion," in Wavelets in Geophysics (E. Foufoula-Georgiou and P. Kumar, eds.), Chap. XI, 299-324, Academic Press, San Diego, CA, 1994.
- N. Saito and G. Beylkin, "Multiresolution representations using the auto-correlation functions of compactly supported wavelets," IEEE Transactions on Signal Processing, 41(12), 3584-3590, 1993; Erratum: 45(3), 768, 1997.
Honors and Awards
- Best Author Award from the Japan Society for Industrial and Applied Mathematics (JSIAM), Sep. 2016.
- JSIAM Letters Best Paper Award (jointly with Jeff Irion) from the Japan Society for Industrial and Applied Mathematics (JSIAM), Sep. 2016.
- Presidential Early Career Award for Scientists and Engineers (PECASE), Oct. 2000.
- Office of Naval Research Young Investigator Award, Feb. 2000.
- Election to Senior membership of IEEE, Dec. 1999.
- The Henri G. Doll Award (the highest honor in the technical papers within the Schlumberger organization), Jun. 1997.
- Best Paper Award for the Wavelet Applications in Signal and Image Processing II, SPIE - The International Society for Optical Engineering, International Symposium, Jul. 1994.
Last updated: 2021-05-24