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ORCIDAaron Potechin
Person information
- affiliation: University of Chicago, USA
- affiliation (PhD 2015): MIT, Cambridge, USA
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Journal Articles
- 2020
[j6]Aaron Potechin, Jeffrey O. Shallit
:
Lengths of words accepted by nondeterministic finite automata. Inf. Process. Lett. 162: 105993 (2020)- 2019
- [j5]Boaz Barak, Samuel B. Hopkins, Jonathan A. Kelner, Pravesh K. Kothari, Ankur Moitra, Aaron Potechin:
A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem. SIAM J. Comput. 48(2): 687-735 (2019) - 2018
- [j4]Samuel B. Hopkins, Pravesh Kothari, Aaron Henry Potechin, Prasad Raghavendra, Tselil Schramm:
On the Integrality Gap of Degree-4 Sum of Squares for Planted Clique. ACM Trans. Algorithms 14(3): 28:1-28:31 (2018) - 2017
- [j3]Aaron Potechin:
Bounds on Monotone Switching Networks for Directed Connectivity. J. ACM 64(4): 29:1-29:48 (2017) - 2014
- [j2]Siu Man Chan, Aaron Potechin:
Tight Bounds for Monotone Switching Networks via Fourier Analysis. Theory Comput. 10: 389-419 (2014) - 2008
- [j1]Aaron Potechin:
Maximal caps in AG (6, 3). Des. Codes Cryptogr. 46(3): 243-259 (2008)
Conference and Workshop Papers
- 2023
- [c25]Aaron Potechin, Paxton M. Turner, Prayaag Venkat, Alexander S. Wein:
Near-optimal fitting of ellipsoids to random points. COLT 2023: 4235-4295 - [c24]Susanna F. de Rezende, Aaron Potechin, Kilian Risse:
Clique Is Hard on Average for Unary Sherali-Adams. FOCS 2023: 12-25 - [c23]Joshua Brakensiek, Neng Huang, Aaron Potechin, Uri Zwick:
Separating MAX 2-AND, MAX DI-CUT and MAX CUT. FOCS 2023: 234-252 - [c22]Jun-Ting Hsieh, Pravesh K. Kothari, Aaron Potechin, Jeff Xu:
Ellipsoid Fitting up to a Constant. ICALP 2023: 78:1-78:20 - [c21]Chris Jones, Aaron Potechin, Goutham Rajendran, Jeff Xu:
Sum-of-Squares Lower Bounds for Densest k-Subgraph. STOC 2023: 84-95 - 2022
- [c20]Gil Cohen, Dor Minzer, Shir Peleg, Aaron Potechin, Amnon Ta-Shma:
Expander Random Walks: The General Case and Limitations. ICALP 2022: 43:1-43:18 - [c19]Chris Jones, Aaron Potechin:
Almost-Orthogonal Bases for Inner Product Polynomials. ITCS 2022: 89:1-89:21 - [c18]Aaron Potechin, Goutham Rajendran:
Sub-exponential time Sum-of-Squares lower bounds for Principal Components Analysis. NeurIPS 2022 - 2021
- [c17]Chris Jones, Aaron Potechin, Goutham Rajendran, Madhur Tulsiani, Jeff Xu:
Sum-of-Squares Lower Bounds for Sparse Independent Set. FOCS 2021: 406-416 - [c16]Adam Kurpisz, Aaron Potechin, Elias Samuel Wirth:
SoS Certification for Symmetric Quadratic Functions and Its Connection to Constrained Boolean Hypercube Optimization. ICALP 2021: 90:1-90:20 - [c15]Joshua Brakensiek, Neng Huang, Aaron Potechin, Uri Zwick:
On the Mysteries of MAX NAE-SAT. SODA 2021: 484-503 - 2020
- [c14]Neng Huang, Aaron Potechin:
On the Approximability of Presidential Type Predicates. APPROX-RANDOM 2020: 58:1-58:20 - [c13]Aaron Potechin:
Sum of Squares Bounds for the Ordering Principle. CCC 2020: 38:1-38:37 - [c12]Mrinalkanti Ghosh, Fernando Granha Jeronimo, Chris Jones, Aaron Potechin, Goutham Rajendran:
Sum-of-Squares Lower Bounds for Sherrington-Kirkpatrick via Planted Affine Planes. FOCS 2020: 954-965 - 2019
- [c11]Aaron Potechin:
Sum of Squares Lower Bounds from Symmetry and a Good Story. ITCS 2019: 61:1-61:20 - [c10]Aaron Potechin:
On the approximation resistance of balanced linear threshold functions. STOC 2019: 430-441 - 2017
- [c9]Aaron Potechin:
A Note on Amortized Branching Program Complexity. CCC 2017: 4:1-4:12 - [c8]Aaron Potechin, David Steurer:
Exact tensor completion with sum-of-squares. COLT 2017: 1619-1673 - [c7]Samuel B. Hopkins, Pravesh K. Kothari, Aaron Potechin, Prasad Raghavendra, Tselil Schramm, David Steurer:
The Power of Sum-of-Squares for Detecting Hidden Structures. FOCS 2017: 720-731 - 2016
- [c6]Dhruv Medarametla, Aaron Potechin:
Bounds on the Norms of Uniform Low Degree Graph Matrices. APPROX-RANDOM 2016: 40:1-40:26 - [c5]Boaz Barak, Samuel B. Hopkins, Jonathan A. Kelner, Pravesh Kothari, Ankur Moitra, Aaron Potechin:
A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem. FOCS 2016: 428-437 - [c4]Samuel B. Hopkins, Pravesh Kothari, Aaron Henry Potechin, Prasad Raghavendra, Tselil Schramm:
On the Integrality Gap of Degree-4 Sum of Squares for Planted Clique. SODA 2016: 1079-1095 - 2015
- [c3]Raghu Meka, Aaron Potechin, Avi Wigderson:
Sum-of-squares Lower Bounds for Planted Clique. STOC 2015: 87-96 - 2012
- [c2]Siu Man Chan, Aaron Potechin:
Tight bounds for monotone switching networks via fourier analysis. STOC 2012: 495-504 - 2010
- [c1]Aaron Potechin:
Bounds on Monotone Switching Networks for Directed Connectivity. FOCS 2010: 553-562
Informal and Other Publications
- 2023
- [i32]Chris Jones, Aaron Potechin, Goutham Rajendran, Jeff Xu:
Sum-of-Squares Lower Bounds for Densest k-Subgraph. CoRR abs/2303.17506 (2023) - [i31]Jun-Ting Hsieh, Pravesh K. Kothari, Aaron Potechin, Jeff Xu:
Ellipsoid Fitting Up to a Constant. CoRR abs/2307.05954 (2023) - 2022
- [i30]Aaron Potechin, Aaron Zhang:
Bounds on the Total Coefficient Size of Nullstellensatz Proofs of the Pigeonhole Principle and the Ordering Principle. CoRR abs/2205.03577 (2022) - [i29]Joshua Brakensiek, Neng Huang, Aaron Potechin, Uri Zwick:
Separating MAX 2-AND, MAX DI-CUT and MAX CUT. CoRR abs/2212.11191 (2022) - 2021
- [i28]Chris Jones, Aaron Potechin:
Almost-Orthogonal Bases for Inner Product Polynomials. CoRR abs/2107.00216 (2021) - [i27]Adam Kurpisz, Aaron Potechin, Elias Samuel Wirth:
SoS certification for symmetric quadratic functions and its connection to constrained Boolean hypercube optimization. CoRR abs/2107.04100 (2021) - [i26]Chris Jones, Aaron Potechin, Goutham Rajendran, Madhur Tulsiani, Jeff Xu:
Sum-of-Squares Lower Bounds for Sparse Independent Set. CoRR abs/2111.09250 (2021) - [i25]Gil Cohen, Dor Minzer, Shir Peleg, Aaron Potechin, Amnon Ta-Shma:
Expander Random Walks: The General Case and Limitations. Electron. Colloquium Comput. Complex. TR21 (2021) - 2020
- [i24]Wenjun Cai, Aaron Potechin:
The Spectrum of the Singular Values of Z-Shaped Graph Matrices. CoRR abs/2006.14144 (2020) - [i23]Mrinalkanti Ghosh, Fernando Granha Jeronimo, Chris Jones, Aaron Potechin, Goutham Rajendran:
Sum-of-Squares Lower Bounds for Sherrington-Kirkpatrick via Planted Affine Planes. CoRR abs/2009.01874 (2020) - [i22]Joshua Brakensiek, Neng Huang, Aaron Potechin, Uri Zwick:
On the Mysteries of MAX NAE-SAT. CoRR abs/2009.10677 (2020) - [i21]Aaron Potechin, Goutham Rajendran:
Machinery for Proving Sum-of-Squares Lower Bounds on Certification Problems. CoRR abs/2011.04253 (2020) - [i20]Bohdan Kivva, Aaron Potechin:
Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS. CoRR abs/2011.09416 (2020) - 2019
- [i19]Neng Huang, Aaron Potechin:
On the Approximability of Presidential Type Predicates. CoRR abs/1907.04451 (2019) - 2018
- [i18]Aaron Potechin, Jeffrey O. Shallit:
Lengths of Words Accepted by Nondeterministic Finite Automata. CoRR abs/1802.04708 (2018) - [i17]Aaron Potechin:
On the Approximation Resistance of Balanced Linear Threshold Functions. CoRR abs/1807.04421 (2018) - [i16]Aaron Potechin:
Sum of squares bounds for the total ordering principle. CoRR abs/1812.01163 (2018) - 2017
- [i15]Aaron Potechin, David Steurer:
Exact tensor completion with sum-of-squares. CoRR abs/1702.06237 (2017) - [i14]Aaron Potechin, Liu Yang:
A Note on Property Testing Sum of Squares and Multivariate Polynomial Interpolation. CoRR abs/1709.03198 (2017) - [i13]Samuel B. Hopkins, Pravesh K. Kothari, Aaron Potechin, Prasad Raghavendra, Tselil Schramm, David Steurer:
The power of sum-of-squares for detecting hidden structures. CoRR abs/1710.05017 (2017) - [i12]Aaron Potechin:
Sum of squares lower bounds from symmetry and a good story. CoRR abs/1711.11469 (2017) - 2016
- [i11]Boaz Barak, Samuel B. Hopkins, Jonathan A. Kelner, Pravesh Kothari, Ankur Moitra, Aaron Potechin:
A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem. CoRR abs/1604.03084 (2016) - [i10]Aaron Potechin:
A Note on Amortized Space Complexity. CoRR abs/1611.06632 (2016) - [i9]Boaz Barak, Samuel B. Hopkins, Jonathan A. Kelner, Pravesh Kothari, Ankur Moitra, Aaron Potechin:
A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem. Electron. Colloquium Comput. Complex. TR16 (2016) - 2015
- [i8]Raghu Meka, Aaron Potechin, Avi Wigderson:
Sum-of-squares lower bounds for planted clique. CoRR abs/1503.06447 (2015) - [i7]Samuel B. Hopkins, Pravesh K. Kothari, Aaron Potechin:
SoS and Planted Clique: Tight Analysis of MPW Moments at all Degrees and an Optimal Lower Bound at Degree Four. CoRR abs/1507.05230 (2015) - 2013
- [i6]Joshua Brakensiek, Aaron Potechin:
Bounds on the Size of Sound Monotone Switching Networks Accepting Permutation Sets of Directed Trees. CoRR abs/1301.3780 (2013) - [i5]Aaron Potechin:
Improved upper and lower bound techniques for monotone switching networks for directed connectivity. CoRR abs/1302.3726 (2013) - 2012
- [i4]Siu Man Chan, Aaron Potechin:
Tight Bounds for Monotone Switching Networks via Fourier Analysis. Electron. Colloquium Comput. Complex. TR12 (2012) - 2011
- [i3]Aaron Potechin:
Monotone switching networks for directed connectivity are strictly more powerful than certain-knowledge switching networks. CoRR abs/1111.2127 (2011) - 2009
- [i2]Aaron Potechin:
Bounds on monotone switching networks for directed connectivity. CoRR abs/0911.0664 (2009) - [i1]Aaron Potechin:
Bounds on Monotone Switching Networks for Directed Connectivity. Electron. Colloquium Comput. Complex. TR09 (2009)
Coauthor Index
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