Mathematical Foundations of Data Science.
Fall 2014, UC Berkeley.
-- A text book for graduate students and advanced undergraduates. Free download.
- Slides of Rosser Memorial Lecture, University of Wisconsin, Madison, Nov 12, 2002. Sampling on the fly
- Talk at the joint AMS-India conference, Bangalore, India, Dec. 2003. Randomized Algorithms in Linear Algebra
- Symposium on the Theory of Computing, 2005. Tensor Decomposition and Approximation algorithms for Max CSP's
- Conference on Learning Theory (COLT) 2005. The Spectral Method for general mixture models
- Workshop on Modern Massive Data Sets, Stanford University, June 2006. Sampling in large Matrices and Tensors
- Symposium on the Theory of Computing, 2010: Tutorial- Spectral Methods for Matrices and Tensors
My Vitae .
Massive Data, Sampling
- Tensor Decomposition and Approximation Algorithms for Constraint Satisfaction Problems W. de la Vega, R. Kannan, M. Karpinski and S. Vempala, in the Proceedings of the Symposium on Theory of Computing (STOC) (2005).
- Random Sampling and approximation of MAX-CSPs N. Alon, W. de la Vega, R. Kannan, M. Karpinski, in 34 th ACM STOC (2002) and final version in Journal of Computer and System Sciences 67 (2003) pp 212-243.
- Pass Efficient Algorithm for approximating large matrices, P. Drineas and R. Kannan, in Symposium on Discrete Algorithms (SODA) (2003)
- Fast Monte Carlo Algorithms for Approximate Matrix Multiplication, P. Drineas and R. Kannan, Proceedings of the Annual Symposium on the Foundations of Computing (2001)
- Fast Monte-Carlo Algorithms for finding low-rank approximations, A. Frieze, R. Kannan and S. Vempala, Proceedings of the Foundations of Computer Science, 1998. pp 378-390
- Quick Approximation to Matrices and Applications, A. Frieze and R. Kannan, Combinatorica 19 (2) (1999), 175-220.
- Fast Monte-Carlo Algorithms for Matrices, P. Drineas, M. Mahoney and R. Kannan, Manuscripts (2003)
- Analyzing the structure of large graphs R. Kannan and V. Vinay, Manuscript (1999)
- A Divide-and- Merge methodology for Clustering David Cheng, Ravi Kannan, Santosh Vempala and Grant Wang in ACM SIGMOD/PODS, 2005.
- Eigencluster : An Implementation of the Divide-and-Merge Methodology for Clustering
- A pass-efficient algorithm for clustering census data Kevin Chang and R. Kannan, Manuscript.
- Learning Mixtures of separated non-spherical Gaussians S. Arora and R. Kannan in the proceedings of the ACM Symposium on Theory of Computing (2001). Final Version submitted.
- On Clusterings : Good, bad and spectral R. Kannan, S. Vempala and A. Vetta, in Proceedings of the Symposium on Foundations of Computer Science (2000). Final version to appear in Journal of the ACM.
- On a recursive spectral algorithm for clustering from pairwise similarities, D. Cheng, R. Kannan and S. Vempala, Manuscript.
- Clustering in large graphs and matrices (conference version) P. Drineas, A. Frieze, R. Kannan, S. Vempala, V. Vinay, in Symposium on Discrete Algorithms, SODA (1999)
- Clustering in large graphs via Singular Value Decomposition (Journal version) P. Drineas, A. Frieze, R. Kannan, S. Vempala, V. Vinay, To Appear in Journal of Machine Learning. (2004)
Markov Chains, Rapid Mixing
- A random polynomial time algorithm for approximating the volume of convex sets M. Dyer, A. Frieze and R. Kannan, in Journal of the Association for Computing Machinary, 38:1-17, (1991)
- Random walks and an O(n^5) time algorithm for volumes of convex sets R. Kannan, L. Lovasz and M. Simonovits, in Random Structures and Algorithms, 11 (1997) 1-50.
- Markov Chains and polynomial time Algorithms, R. Kannan, Plenary Talk, 35 th Annual IEEE Symnposium on the Foundatiuons of Computer Science, Sante Fe (1994)
- Rapid Mixing in Markov Chains R. Kannan, Invited Talk, International Congresss of Mathematicians, Beijing, China, 2002
- Sampling and integration of near log-concave functions D. Applegate and R. Kannan in Proceedings of the ACM Symposium on the Theory of Computing (1993)
- Isoperimetric problems for convex sets R. Kannan, L. Lovasz and M. Simonovits, in Discrete and Computational Geometry 13:541-549 (1995)
- Log-Sobolev inequalities and sampling from log-concave densities A. Frieze and R. Kannan in The Annals of Applied Probability, Vol. 9, No. 1, (1999) 14-26.
- Local search in smooth convex sets R. Kannan and A. Nolte in Proceedings of the ACM Symposium on Theory of Computing (1998)
- A simple randomized algorithm for convex optimization M. Dyer, R. Kannan and L. Stougie, Reports in Statistics, Probablity and Operations Research, Eindhoven University of Technology, The Netherlands (2001).
- Sampling Contingency tables M. Dyer, R. Kannan and J. Mount, Random Structures and Algorithms, 10 487-506 (1997)
- Sampling according to the multivariate normal density R. Kannan, G. Li, Proceedings of the Symposium on Foundations of Computer Science (1996)
- Sampling from log-concave distributions A. Frieze, R. Kannan and N. Polson in the Annals of Applied Probability, Vol. 4, No. 3, (1994) 812-837
- Sampling Lattice points R. Kannan and S. Vempala in Proceedings of the ACM Symposium on Theory of Computing (1997)
- Approximation of Radii and norm-maxima A. Brieden, P. Gritzman, R. Kannan, V. Klee, L. Lovasz and M. Simonovits in Proceedings of the ACM Symposium on Theory of Computing (1998)
- Faster mixing via average conductance L. Lovasz and R. Kannan, in Proceedings of the ACM Symposium on Theory of Computing (1999)
- Rapid Mixing of Several Markov Chains for a Hard-Core Model, R. Kannan, M. W. Mahoney, and R. Montenegro, Proc. 14-th Annual ISAAC, 663-675. (2003).
- Blocking Conductance and Mixing in random walks, R. Kannan, L. Lovasz and R. Montenegro, in Combinatorics, Probability and Computing (2005)
- Algorithmic Geometry of Numbers R. Kannan in Annual Reviews of Computer Science eds., Traub, Grosz, Lampson and Nilsson, Vol. 2, (1987) pp 231-267, Publish. Annual Reviews Inc.
- Lattice Translates of a polytope and the Frobenius problem R. Kannan in Combinatorica, 12 (2) (1992) pp 161-177.
- Test sets for Integer Programs and ``forall there exist'' sentences R. Kannan, Dimacs Series in Discrete Mathematics and Theoretical Computer Science, Vol 1., (1990) pp 39-47, Publish. Americal Mathematical Society.
- On integer points in a polyhedron W. Cook, M. Hartman, R. Kannan and C. Mcdiarmid, in Combinatorica 12 (1) (1992).
Microsoft Research Labs.
Vigyan, 9 Lavelle Road
Phone: +91 80 66586000, Fax: +91 80 66586058
Email: kannan at microsoft dot com