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Pravesh Kumar Kothari

20102026

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  • Smooth Trade-off for Tensor PCA via Sharp Bounds for Kikuchi Matrices

    Kothari, P. K. & Xu, J., 2026, Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2026. Larsen, K. G. & Saha, B. (eds.). Association for Computing Machinery, p. 2617-2632 16 p. (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; vol. 2026-January).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  • Sparsifying Sums of Positive Semidefinite Matrices

    Basu, A., Kothari, P. K., Liu, Y. P. & Meka, R., 2026, Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2026. Larsen, K. G. & Saha, B. (eds.). Association for Computing Machinery, p. 6042-6064 23 p. (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; vol. 2026-January).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  • Improved Lower Bounds for all Odd-Query Locally Decodable Codes

    Basu, A., Hsieh, J. T., Kothari, P. K. & Lin, A. D., 2025, Proceedings - 2025 IEEE 66th Annual Symposium on Foundations of Computer Science, FOCS 2025. IEEE Computer Society, p. 1262-1285 24 p. (Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  • New Spectral Algorithms for Refuting Smoothed k-SAT

    Guruswami, V., Kothari, P. K. & Manohar, P., Mar 1 2025, In: Communications of the ACM. 68, 3, p. 83-91 9 p.

    Research output: Contribution to journalArticlepeer-review

    Open Access
  • Overcomplete Tensor Decomposition via Koszul-Young Flattenings

    Kothari, P. K., Moitra, A. & Wein, A. S., 2025, Proceedings - 2025 IEEE 66th Annual Symposium on Foundations of Computer Science, FOCS 2025. IEEE Computer Society, p. 1871-1882 12 p. (Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution