Publications

S. Karnik, R. Wang, and M. Iwen, "Neural Network Approximation of Continuous Functions in High Dimensions with Applications to Inverse Problems." Journal of Computational and Applied Mathematics, 438(1), March 2024. [arXiv]

C. DeLude, R. S. Srinivasa, S. Karnik, C. Hood, M. A. Davenport, and J. Romberg, "Iterative Broadband Source Localization." IEEE Journal on Selected Areas in Information Theory. 4(1), pp. 453-469, September 2023. [arXiv]

S. Karnik, J. Romberg, and M. A. Davenport, "Thomson's Multitaper Method Revisited." IEEE Trans. on Information Theory, 68(7), pp. 4864-4891, July 2022. [arXiv]

S. Karnik, J. Romberg, and M. A. Davenport, "Improved Bounds for the Eigenvalues of Prolate Spheroidal Wave Functions and Discrete Prolate Spheroidal Sequences." Applied and Computational Harmonic Analysis, 55(1), pp. 97-128, November 2021. [arXiv]

S. Karnik, Z. Zhu, M. B. Wakin, J. Romberg, and M. A. Davenport, "The Fast Slepian Transform." Applied and Computational Harmonic Analysis, 46(3), pp. 624-652, May 2019. [arXiv]

Z. Zhu, S. Karnik, M. B. Wakin, M. A. Davenport, and J. Romberg, "ROAST: Rapid Orthogonal Approximate Slepian Transform." IEEE Trans. on Signal Processing, 66(22), pp. 5887-5901, November 2018. [arXiv]

Z. Zhu, S. Karnik, M. A. Davenport, J. Romberg, and M. B. Wakin, "The Eigenvalue Distribution of Discrete Periodic Time-Frequency Limiting Operators." IEEE Signal Processing Letters, 25(1), pp. 95-99, January 2018. [arXiv]

C. Haselby, S. Karnik, and M. Iwen, "Tensor Sandwich: Tensor Completion for Low CP-Rank Tensors via Adaptive Random Sampling," in Proc. Sampling Theory and its Applications (SampTA), New Haven, CT, July 2023. [arXiv]

A. D. McRae, A. Xu, J. Jin, N. Nadagouda, N. Ahad, P. Guan, S. Karnik, and M. A. Davenport, "Delta Distancing: A Lifting Approach to Localizing Items from User Comparisons," in Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), Singapore, May 2022.

A. D. McRae, S. Karnik, M. A. Davenport, and V. Muthukumar, "Harmless Interpolation in Regression and Classification with Structured Features," in Proc. Int. Conf. on Artificial Intelligence and Statistics (AISTATS), Online, March 2022. [arXiv]

S. Karnik, J. Romberg, and M. A. Davenport, "Fast Multitaper Spectral Estimation," in Proc. Sampling Theory and its Applications (SampTA), Bordeaux, France, July 2019.

S. Karnik, J. Romberg, and M. A. Davenport, "Bandlimited Signal Reconstruction from Nonuniform Samples," in Proc. Work. on Signal Processing with Adaptive Sparse Structured Representations (SPARS), Toulouse, France, July 2019.

Z. Zhu, S. Karnik, M. B. Wakin, M. A. Davenport, and J. Romberg, "Fast Orthogonal Approximations of Sampled Sinusoids and Bandlimited Signals," in Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), New Orleans, LA, March 2017.

S. Karnik, Z. Zhu, M. B. Wakin, J. Romberg, and M. A. Davenport, "Fast Computations for Approximation and Compression in Slepian Spaces," in Proc. IEEE Global Conf. on Signal and Information Processing (GlobalSIP), Washington, DC, December 2016.

C. Haselby, M. Iwen, S. Karnik, and R. Wang, "Tensor Deli: Tensor Completion for Low CP-Rank Tensors via Random Sampling." Preprint available. [arXiv]

C. DeLude, S. Karnik, M. A. Davenport, and J. Romberg, "Broadband Beamforming via Linear Embedding." Preprint available. [arXiv]

S. Karnik, "Fast Algorithms for Sampled Multiband Signals," Ph.D. Thesis, Georgia Institute of Technology, August 2021.