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Mrinal Kumar
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On the power of homogeneous depth 4 arithmetic circuits
M Kumar, S Saraf
SIAM Journal on Computing 46 (1), 336-387, 2017
892017
Faster parameterized algorithms for deletion to split graphs
E Ghosh, S Kolay, M Kumar, P Misra, F Panolan, A Rai, MS Ramanujan
Algorithmica 71 (4), 989-1006, 2015
492015
The limits of depth reduction for arithmetic formulas: It's all about the top fan-in
M Kumar, S Saraf
Proceedings of the forty-sixth annual ACM symposium on Theory of computing …, 2014
442014
Towards an algebraic natural proofs barrier via polynomial identity testing
JA Grochow, M Kumar, M Saks, S Saraf
arXiv preprint arXiv:1701.01717, 2017
362017
Arithmetic circuits with locally low algebraic rank
M Kumar, S Saraf
arXiv preprint arXiv:1806.06097, 2018
352018
Unbalancing sets and an almost quadratic lower bound for syntactically multilinear arithmetic circuits
N Alon, M Kumar, BL Volk
Combinatorica 40 (2), 149-178, 2020
302020
Near-optimal bootstrapping of hitting sets for algebraic circuits
M Kumar, R Saptharishi, A Tengse
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete …, 2019
292019
Approximation algorithms for node deletion problems on bipartite graphs with finite forbidden subgraph characterization
M Kumar, S Mishra, NS Devi, S Saurabh
Theoretical Computer Science 526, 90-96, 2014
262014
Derandomization from algebraic hardness: Treading the borders
Z Guo, M Kumar, R Saptharishi, N Solomon
2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS …, 2019
252019
An exponential lower bound for homogeneous depth-5 circuits over finite fields
M Kumar, R Saptharishi
arXiv preprint arXiv:1507.00177, 2015
252015
Superpolynomial lower bounds for general homogeneous depth 4 arithmetic circuits
M Kumar, S Saraf
Automata, Languages, and Programming: 41st International Colloquium, ICALP …, 2014
252014
Hardness-randomness tradeoffs for algebraic computation
M Kumar, R Saptharishi
Bulletin of EATCS 3 (129), 2019
232019
Closure results for polynomial factorization
CN Chou, M Kumar, N Solomon
Theory of Computing 15 (1), 1-34, 2019
212019
Sums of products of polynomials in few variables: lower bounds and polynomial identity testing
M Kumar, S Saraf
arXiv preprint arXiv:1504.06213, 2015
212015
Hardness vs randomness for bounded depth arithmetic circuits
CN Chou, M Kumar, N Solomon
33rd Computational Complexity Conference (CCC 2018), 2018
202018
A quadratic lower bound for homogeneous algebraic branching programs
M Kumar
computational complexity 28, 409-435, 2019
192019
Efficient indexing of necklaces and irreducible polynomials over finite fields
S Kopparty, M Kumar, M Saks
International Colloquium on Automata, Languages, and Programming, 726-737, 2014
192014
Faster parameterized algorithms for deletion to split graphs
E Ghosh, S Kolay, M Kumar, P Misra, F Panolan, A Rai, MS Ramanujan
Scandinavian Workshop on Algorithm Theory, 107-118, 2012
192012
Fast multivariate multipoint evaluation over all finite fields
V Bhargava, S Ghosh, Z Guo, M Kumar, C Umans
Journal of the ACM 71 (3), 1-32, 2024
182024
Fast, algebraic multivariate multipoint evaluation in small characteristic and applications
V Bhargava, S Ghosh, M Kumar, CK Mohapatra
Journal of the ACM 70 (6), 1-46, 2023
162023
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