Aaron Potechin

Aaron Potechin

University of Chicago

H-index: 13

North America-United States

About Aaron Potechin

Aaron Potechin, With an exceptional h-index of 13 and a recent h-index of 11 (since 2020), a distinguished researcher at University of Chicago, specializes in the field of Computational complexity theory, graph theory, combinatorics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Clique Is Hard on Average for Sherali-Adams with Bounded Coefficients

Clique is hard on average for unary Sherali-Adams

Separating max 2-and, max di-cut and max cut

Near-optimal fitting of ellipsoids to random points

Ellipsoid fitting up to a constant

Sum-of-squares lower bounds for densest k-subgraph

Sub-exponential time Sum-of-Squares lower bounds for Principal Components Analysis

The Sixth Moment of Random Determinants

Aaron Potechin Information

University

Position

___

Citations(all)

1023

Citations(since 2020)

732

Cited By

546

hIndex(all)

13

hIndex(since 2020)

11

i10Index(all)

19

i10Index(since 2020)

14

Email

University Profile Page

Google Scholar

Aaron Potechin Skills & Research Interests

Computational complexity theory

graph theory

combinatorics

Top articles of Aaron Potechin

Clique Is Hard on Average for Sherali-Adams with Bounded Coefficients

arXiv preprint arXiv:2404.16722

2024/4/25

Aaron Potechin
Aaron Potechin

H-Index: 10

Kilian Risse
Kilian Risse

H-Index: 0

Clique is hard on average for unary Sherali-Adams

2023/11/6

Aaron Potechin
Aaron Potechin

H-Index: 10

Kilian Risse
Kilian Risse

H-Index: 0

Separating max 2-and, max di-cut and max cut

2023/11/6

Near-optimal fitting of ellipsoids to random points

2023/7/12

Aaron Potechin
Aaron Potechin

H-Index: 10

Ellipsoid fitting up to a constant

arXiv preprint arXiv:2307.05954

2023/7/12

Jun-Ting Hsieh
Jun-Ting Hsieh

H-Index: 6

Aaron Potechin
Aaron Potechin

H-Index: 10

Sum-of-squares lower bounds for densest k-subgraph

2023/6/2

Chris Jones
Chris Jones

H-Index: 22

Aaron Potechin
Aaron Potechin

H-Index: 10

Sub-exponential time Sum-of-Squares lower bounds for Principal Components Analysis

Advances in Neural Information Processing Systems

2022/12/6

Aaron Potechin
Aaron Potechin

H-Index: 10

The Sixth Moment of Random Determinants

arXiv preprint arXiv:2206.11356

2022/6/22

Dominik Beck
Dominik Beck

H-Index: 1

Aaron Potechin
Aaron Potechin

H-Index: 10

On mixing distributions via random orthogonal matrices and the spectrum of the singular values of multi-z shaped graph matrices

arXiv preprint arXiv:2206.02224

2022/6/5

Wenjun Cai
Wenjun Cai

H-Index: 11

Aaron Potechin
Aaron Potechin

H-Index: 10

Bounds on the total coefficient size of nullstellensatz proofs of the pigeonhole principle and the ordering principle

arXiv preprint arXiv:2205.03577

2022/5/7

Aaron Potechin
Aaron Potechin

H-Index: 10

Sum-of-squares lower bounds for sparse independent set

2022/2/7

Expander random walks: the general case and limitations

2022

Gil Cohen
Gil Cohen

H-Index: 12

Aaron Potechin
Aaron Potechin

H-Index: 10

SoS certification for symmetric quadratic functions and its connection to constrained Boolean hypercube optimization

arXiv preprint arXiv:2107.04100

2021/7/8

Aaron Potechin
Aaron Potechin

H-Index: 10

Almost-orthogonal bases for inner product polynomials

arXiv preprint arXiv:2107.00216

2021/7/1

Chris Jones
Chris Jones

H-Index: 22

Aaron Potechin
Aaron Potechin

H-Index: 10

On the mysteries of MAX NAE-SAT

2021

Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 sos

arXiv preprint arXiv:2011.09416

2020/11/18

Aaron Potechin
Aaron Potechin

H-Index: 10

Sum-of-squares lower bounds for sherrington-kirkpatrick via planted affine planes

2020/11/16

Chris Jones
Chris Jones

H-Index: 22

Aaron Potechin
Aaron Potechin

H-Index: 10

Machinery for proving sum-of-squares lower bounds on certification problems

arXiv preprint arXiv:2011.04253

2020/11/9

Aaron Potechin
Aaron Potechin

H-Index: 10

Lengths of words accepted by nondeterministic finite automata

Information Processing Letters

2020/10/1

Aaron Potechin
Aaron Potechin

H-Index: 10

Jeffrey Shallit
Jeffrey Shallit

H-Index: 22

The spectrum of the singular values of z-shaped graph matrices

arXiv preprint arXiv:2006.14144

2020/6/25

Wenjun Cai
Wenjun Cai

H-Index: 11

Aaron Potechin
Aaron Potechin

H-Index: 10

See List of Professors in Aaron Potechin University(University of Chicago)