423 Gates Hall

Cornell University

**Assistant Professor**

Department of Computer Science

Cornell University

- Localized representations of Kohn-Sham orbitals
- Robust and efficient multi-way spectral clustering
- Invariant subspace perturbation theory
- Mixture models and density estimation

- Numerical linear algebra
- Computational quantum chemistry
- Computational statistics
- Fast algorithms

- Megan Renz (PhD)
- Kangbo Li (PhD)
- Robin Armstrong (PhD)
- Abhay Singh (MS)

- John Ryan (PhD); now at Google

- John Paul Ryan and Anil Damle "Linear Time Kernel Matrix Approximation via Hyperspherical Harmonics," [arXiv]
- Jerry Chee, Megan Renz, Anil Damle, Chris De Sa "Pruning neural networks with interpolative decompositions," [arXiv]
- John Paul Ryan, Sebastian Ament, Carla P Gomes, and Anil Damle "The fast kernel transform," [arXiv]
- Austin R. Benson, Anil Damle, and Alex Townsend "Over-parametrized neural networks as under-determined linear systems," [arXiv]
- Vasileios Charisopoulos, Austin R. Benson, and Anil Damle "Incrementally updated spectral embeddings," [arXiv]

- Eric G Fuemmeler, Anil Damle, Robert A DiStasio Jr "Selected columns of the density matrix in an atomic orbital basis I: an intrinsic and non-iterative orbital localization scheme for the occupied space,"
*Journal of Chemical Theory and Computation*, to appear [arXiv] - Heather Wilber, Anil Damle, and Alex Townsend “Data-driven Algorithms for signal processing with rational functions,”
*SIAM Journal on Scientific Computing*, 2022, 44 (3), C185-C209 [SIAM online] [arXiv] - Vasileios Charisopoulos, Austin R. Benson, and Anil Damle “Communication-efficient distributed eigenspace estimation,”
*SIAM Journal on Mathematics of Data Science*, 2021, 3 (4), 1067-1092 [SIAM online] [arXiv] - John Paul Ryan and Anil Damle "Parallel Skeletonization for Integral Equations in Evolving Multiply-Connected Domains,"
*SIAM Journal on Scientific Computing*, 2021, 43 (3), A2320-A2351 [SIAM online] [arXiv] - Anil Damle and Yuekai Sun "Uniform bounds for invariant subspace perturbations,"
*SIAM J. Matrix Anal. Appl.*, 2020, 41(3), 1208–1236 [SIAM online] [arXiv] [code] - Thomas Reeves, Anil Damle, and Austin Benson, "Network interpolation,"
*SIAM Journal on Mathematics of Data Science*, 2020, 2(2), 505–528 [SIAM online] [arXiv] - Anil Damle, Antoine Levitt, and Lin Lin "Variational formulation for Wannier functions with entangled band structure,"
*SIAM Multiscale Modeling and Simulation*, 2019, 17 (1), 167-191 [SIAM online] [arXiv] [optimization code] [SCDM code] - Anil Damle and Lin Lin "Disentanglement via entanglement: A unified method for Wannier localization,"
*SIAM Multiscale Modeling and Simulation*, 2018, 16 (3), 1392-1410 [SIAM online] [arXiv] [code] - Anil Damle, Victor Minden, Lexing Ying, "Simple, direct and efficient multi-way spectral clustering,"
*Information and Inference: a Journal of the IMA*, 2019, 8 (1), 181–203, [online] [arXiv] [code] - Victor Minden, Kenneth L. Ho, Anil Damle, Lexing Ying, "A recursive skeletonization factorization based on strong admissibility,"
*SIAM Journal of Multiscale Modeling and Simulation*, 2017, 15 (2), 768-796 [online] [arXiv] - Anil Damle, Lin Lin, Lexing Ying, "Computing Localized Representations of the Kohn--Sham Subspace Via Randomization and Refinement,"
*SIAM Journal on Scientific Computing*, 2017, 39 (6), B1178 - B1198 [online] [arXiv] - Victor Minden, Anil Damle, Kenneth L. Ho, Lexing Ying "Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations,"
*SIAM Journal of Multiscale Modeling and Simulation*2017, 15 (4), 1584-1611 [online] [arXiv] [code] - Anil Damle, Lin Lin, Lexing Ying, "SCDM-k: Localized orbitals for solids via selected columns of the density matrix,"
*Journal of Computational Physics*Volume 334, 1 April 2017, 1-15 [online][arXiv] - Victor Minden, Anil Damle, Kenneth Ho and Lexing Ying "A technique for updating hierarchical factorizations of integral operators,"
*SIAM Journal of Multiscale Modeling and Simulation*, 2016, 14 (1), 42-64 [online] [arXiv] - Anil Damle, Lin Lin, Lexing Ying, "Compressed representation of Kohn–Sham orbitals via selected columns of the density matrix,"
*J. Chem. Theory Comput.*, 2015, 11 (4), 1463–1469 [online] [arXiv] - Anil Damle, Yuekai Sun, "A geometric approach to archetypal analysis and non-negative matrix factorization,"
*Technometrics*, 2017, 59 (3), 361-370 [online] [arXiv] - Anil Damle, Lin Lin, Lexing Ying, "Pole expansion for solving a type of parametrized linear systems in electronic structure calculations,"
*SIAM Journal on Scientific Computing*, 2014, 36 (6), A2929-A2951 [online] [arXiv] - Anil Damle, Gregory Beylkin, Terry Haut, Lucas Monzón, "Near optimal rational approximations of large data sets,"
*Applied and Computational Harmonic Analysis*, 2013, 35 (2), 251-263 [online]

- John Paul Ryan, Sebastian Ament, Carla P Gomes, and Anil Damle “The Fast Kernel Transform,”
*Proceedings of The 25th International Conference on Artificial Intelligence and Statistics*, PMLR 151:11669-11690, 2022 [AISTATS] [arXiv] - Vasileios Charisopoulos, Austin R. Benson, and Anil Damle "Entrywise convergence of iterative methods for eigenproblems,"
*NeurIPS 2020*[NeurIPS] [arXiv] - Geoff Pleiss, Martin Jankowiak, David Eriksson, Anil Damle, Jacob R. Gardner "Fast matrix square roots with applications to Gaussian processes and Bayesian optimization,"
*NeurIPS 2020*[NeurIPS] [arXiv] - Matanya B. Horowitz, Anil Damle, Joel W. Burdick. "Linear Hamilton Jacobi Bellman Equations in High Dimensions,"
*Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on*, pp. 5880-5887, 15-17 Dec. 2014 [arXiv] - A. Damle and L. Y. Pao. "Simultaneous Numerical Optimization for Data Association and Parameter Estimation," Proc.
*Joint IEEE Conf. Decision and Control and European Control Conf.*, Orlando, FL, pp. 7800-7805, Dec. 2011

- CS 4/5780: Introduction to Machine Learning — Fall 2022
- CS 6210: Matrix Computations — Spring 2022
- CS 4/5780: Introduction to Machine Learning — Fall 2021
- CS 6220: Data-Sparse Matrix Computations — Spring 2021
- CS 3220: Computational Mathematics for Computer Science — Fall 2020
- CS 6220: Data-Sparse Matrix Computations — Spring 2020
- CS 3220: Computational Mathematics for Computer Science — Fall 2019
- CS 4220 / MATH 4260: Numerical Analysis: Linear and Nonlinear Problems — Spring 2019
- CS 6210: Matrix Computations — Fall 2018
- CS 4220 / MATH 4260: Numerical Analysis: Linear and Nonlinear Problems — Spring 2018
- CS 6220: Data-Sparse Matrix Computations — Fall 2017