Contact Info:

Phone: Email: Office	(203) 432 1216 dan.kushnir (at) yale.edu
Address:	Department of Mathematics 10 Hillhouse Avenue PO Box 28283 Yale University New Haven, CT  06520-8283

Research Interests:

Applied Harmonic Analysis, Statistical Data Analysis, Machine Learning

CV:

click here

Publications:

1. J. Schumacher, D. Kushnir, A. Brandt, K. R. Sreenivasan, and H. Zilken, Statistics and Geometry in High Schmidt Number Scalar Mixing, Proceedings of the iTi Conference in Turbulence 2005, Progress in Turbulence II, Springer Proceedings in Physics (2005)

2. D. Kushnir, M. Galun, A. Brandt, Fast Multiscale Clustering and Manifold Identification, Special Issue on Similarity-Based Pattern Recognition, Pattern Recognition, Vol. 39 No. 10:1876 -- 1891 (2006)

3. D. Kushnir, J. Schumacher, A. Brandt, Geometry of Intensive Scalar Dissipation Events in Turbulence, Physical Review Letters 97, 124502 (2006)

4. Y. Goldberg, A. Zakai, D. Kushnir, Y. Ritov, Manifold Learning: The Price of Normalization, Journal of Machine Learning Research (JMLR), Vol. 9, 1909 -- 1939 (2008)

5. D. Kushnir, M. Galun, A. Brandt, Efficient Multilevel Eigensolvers with Applications to Data Analysis Tasks, IEEE Transaction on Pattern Analysis and Machine Intelligence (TPAMI), Vol. 32 No. 2, 1377 -- 1391, (2010)

6. D. Kushnir, A. Haddad, R. R. Coifman, Anisotropic Diffusion on Sub-Manifolds with Application to Earth Structure Classification, Applied and Computational Harmonic Analysis (ACHA), Vol 32 No. 2, 280--294, (2012)

7. D. Kushnir, V. Rokhlin, A Highly Accurate Solver for stiff ODEs, in press, SIAM Journal on Scientific Computing (see technical report here)

8. A. Haddad, D. Kushnir, R. R. Coifman, Filtering Via a Reference Set, revised for Applied and Computational Harmonic Analysis (ACHA) (see technical report here)

9. R. Talmon, D. Kushnir, R. R. Coifman, Israel Cohen, Sharon Gannot, Parameterization of Linear Systems Using Diffusion Kernels, IEEE Transactions on Signal Processing, 60(3), (2012)

10. D. Kushnir, A Fast Spectral Method for Similarity Search in High Dimensions, in preparation.

Teaching:

Math 246A 2009, Math 246B 2009-2010: Ordinary Differential Equations

Math 120A, Math 120B 2010-2011: Calculus of functions of many variables

Office Hours: Wed 11:30-13:30

Talks:

1. Multiscale Clustering and Manifold Identification, IPAM UCLA (15/10/2004)

2. Multiscale Clustering and Manifold Identification, IMA University of Minnesota (26/04/2005)

3. Multiscale Clustering and Manifold Identification, Applied Mathematics Seminar, UC Irvine (19/02/2008)

4. An efficient Multilevel Eigensolver with Applications to Data Analysis Tasks, Applied and Computational Mathematics Colloquia, Caltech (20/02/2008)

5. An Efficient Multilevel Eigensolver with Applications to Data Analysis Tasks, Applied Mathematics Seminar, Stanford University (22/02/2008)

6. Multilevel Methods for Data Analysis, Applied Mathematics Seminar, Yale University (21/10/2008)

7. Anisotropic Diffusion Maps with Application to Earth Layers Structure Detection, SIAM Conference on Imaging Sciences, Chicago (14/04/2010)

8. Anisotropic Diffusion Maps with Application to Earth Layers Structure Classification", Center for Scientific Computing and Mathematical Modeling seminar, University of Maryland, (15/09/2010)

9. Anisotropic Diffusion Maps with Application to Earth Layers Structure Detection, IDeAS seminar, Mathematics Dept, Princeton University (18/10/2010)

10. Anisotropic Diffusion Maps with Application to Earth Layers Structure Classification, Applied Mathematics Seminar, Yale University (26/10/2010)

11. Anisotropic Diffusion Maps with Application to Earth Layers Structure Classification, Imaging and Computing Seminar, Mathematics Department. MIT (04/11/2010)

12. Invited tutorial on Multilevel Eigensolvers for the workshop on Numerical Methods in Machine Learning, Neural Information Processing (NIPS 2010), Whistler, BC, Canada

Journal Referee:

1. Applied and Computational Harmonic Analysis

2. SIAM Journal on Scientific Computing

3. Signal Processing Letters

4. Journal of Machine Learning Research

5. Journal of Global Optimization

Applied Mathematics Seminar at Yale:

I am organizing the Applied Mathematics Seminar at Yale Math department.

Interested speakers are welcome to contact me by email.

For planned and given talks please click here