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cs.LG2024
Sum-of-squares lower bounds for Non-Gaussian Component Analysis
Ilias Diakonikolas, Sushrut Karmalkar, Shuo Pang +1
Non-Gaussian Component Analysis (NGCA) is the statistical task of finding a non-Gaussian direction in a high-dimensional dataset. Specifically, given i.i.d.\ samples from a distrib…
math.CO2024
On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices
Dominik Beck, Zelin Lv, Aaron Potechin
In this paper, we analyze the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. Using analytic combinatorics techniques, we determine the second…
math.CO2024★ 1 cited
On induced subgraphs of with maximum degree
Aaron Potechin, Hing Yin Tsang
In this paper, we consider induced subgraphs of the Hamming graph . We show that if and induces a subgraph of with maximum degree…