Aaron Potechin
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A nearly tight sum-of-squares lower bound for the planted clique problem
B Barak, S Hopkins, J Kelner, PK Kothari, A Moitra, A Potechin
SIAM Journal on Computing 48 (2), 687-735, 2019
Sum-of-squares lower bounds for planted clique
R Meka, A Potechin, A Wigderson
Proceedings of the forty-seventh annual ACM symposium on Theory of computing …, 2015
The power of sum-of-squares for detecting hidden structures
SB Hopkins, PK Kothari, A Potechin, P Raghavendra, T Schramm, ...
2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS …, 2017
Exact tensor completion with sum-of-squares
A Potechin, D Steurer
Conference on Learning Theory, 1619-1673, 2017
Maximal caps in AG (6, 3)
A Potechin
Designs, Codes and Cryptography 46 (3), 243-259, 2008
On the integrality gap of degree-4 sum of squares for planted clique
SB Hopkins, P Kothari, AH Potechin, P Raghavendra, T Schramm
ACM Transactions on Algorithms (TALG) 14 (3), 1-31, 2018
Tight bounds for monotone switching networks via Fourier analysis
SM Chan, A Potechin
Proceedings of the forty-fourth annual ACM symposium on Theory of computing …, 2012
Bounds on monotone switching networks for directed connectivity
A Potechin
arXiv preprint arXiv:0911.0664, 2009
The critical group of a line graph
A Berget, A Manion, M Maxwell, A Potechin, V Reiner
Annals of Combinatorics 16 (3), 449-488, 2012
Sos and planted clique: Tight analysis of MPW moments at all degrees and an optimal lower bound at degree four
SB Hopkins, PK Kothari, A Potechin
arXiv preprint arXiv:1507.05230, 2015
Bounds on monotone switching networks for directed connectivity
A Potechin
Journal of the ACM (JACM) 64 (4), 1-48, 2017
Proof of Han's hook expansion conjecture
K Carde, J Loubert, A Potechin, A Sanborn
arXiv preprint arXiv:0808.0928, 2008
Bounds on the norms of uniform low degree graph matrices
D Medarametla, A Potechin
Approximation, Randomization, and Combinatorial Optimization. Algorithms and …, 2016
Lengths of words accepted by nondeterministic finite automata
A Potechin, J Shallit
Information Processing Letters 162, 105993, 2020
Sum-of-squares lower bounds for Sherrington-Kirkpatrick via planted affine planes
M Ghosh, FG Jeronimo, C Jones, A Potechin, G Rajendran
arXiv preprint arXiv:2009.01874, 2020
Sum of squares lower bounds from symmetry and a good story
A Potechin
arXiv preprint arXiv:1711.11469, 2017
A note on amortized space complexity
A Potechin
arXiv preprint arXiv:1611.06632, 2016
The spectrum of the singular values of Z-shaped graph matrices
W Cai, A Potechin
arXiv preprint arXiv:2006.14144, 2020
On the approximation resistance of balanced linear threshold functions
A Potechin
Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing …, 2019
Graph Matrices: Norm Bounds and Applications
K Ahn, D Medarametla, A Potechin
arXiv preprint arXiv:1604.03423, 2016
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