Applied and Computational Harmonic Analysis Reading
Seminar (Spring, 2011)
Course: MAT 290
CRN: 39769
Class: Friday 4:10pm-5:40pm, 2240 MSB
Organizer: Naoki Saito
Office: 2142 MSB
Phone: 754-2121
Email:saito@math.ucdavis.edu
This quarter, we will read some recent papers on
a variety of important topics in the area of Applied and Computational Harmonic
Analysis, in particular, those related to data analysis on graphs/networks and
machine learning.
Any participant who actually makes a classroom presentation on a paper selected
from the following list will receive 3 credit units. The other participants
will receive 1 credit unit (attendance will be checked).
Apr. 1: Organizational Meeting
- Determine the meeting schedule, groupings of the
participants depending on the themes of the papers.
Apr. 8-15 Stephanie Chan & Haoyang Liu:
- R. R. Coifman & M. Gavish: Harmonic analysis of digital data bases, in Wavelets and Multiscale Analysis: Theory and Applications (J. Cohen & A. Zayed, eds.), Birkhauser, 2011.
- M. Gavish, B. Nadler, & R. R. Coifman: Multiscale wavelets on trees, graphs and high dimensional data: theory and applications to semi supervised learning, in Proc. 27th Intern. Conf. Machine Learning (J. Fürnkranz and T. Joachims, eds.), pp.367-374, Omnipress, 2010; With supplementary material.
Apr. 22-29: Jeff Irion & Arcade Tseng:
- F. Chung & S.-T. Yau: Discrete Green's functions, Journal of Combinatorial Theory, Series A, vol.91, pp.191-214, 2000.
- W. Kook: Combinatorial Green's function of a graph and applications to networks, Advances in Applied Mathematics, vol.46, no.1-4, pp.417-423, 2011.
May 13-20: Chuan Qin:
May 27-Jun. 3: Wenjing Liao & Chelsea Weaver:
- A. Buades, B. Coll, & J. M. Morel: Image denoising methods. A new nonlocal principle. SIAM Review, vol.52, no.1, pp.113-147, 2010.
- A. Singer, Y. Shkolnisky, & B. Nadler: Diffusion interpretation of nonlocal neighborhood filters for signal denoising, SIAM J. Imaging Sciences, vol.2, no.1, pp.118-139, 2009.
- A. Haddad, D. Kushnir, & R. R. Coifman: Filtering via a reference set, Technical Report #1441, CS Dept., Yale Univ., Feb. 2011.
Date TBD: Adrien Hoarau, Naoki Saito, & Arcade Tseng (?)
- A. Singer & R. R. Coifman: Nonlinear Independent Component Analysis with Diffusion Maps, Applied & Computational Harmonic Analysis, vol.25, no.2, pp.226-239, 2008.
- D. Kushnir, A. Haddad, & Coifman: Anisotropic Diffusion on Sub-Manifolds with Application to Earth Structure Classification, Technical Report #1437, CS Dept., Yale Univ. 2010.
Please email
me if you have any comments or questions!