notesum.ai

Published at November 29

math.PR

cs.NA

math.NA

60B20, 65F22, 65F50, 68Q87

Released Date: November 29, 2024

Authors: Rikhav Shah¹, Nikhil Srivastava¹, Edward Zeng²

Aff.: ¹UC Berkeley; ²NYU

	$\kappa_{V}(\cdot)$	$\eta(\cdot)$	$\sigma_{n}(\cdot)$	$\operatorname*{\mathbb{E}}(A)$	$x$	$\rho(n)$
[TV07]			✓	any	finite moment conditions	$n^{\alpha}/n$
[BR17]			✓	0	finite moment conditions	$\log^{c}(n)/n$
[RT19]			✓	$zI$	finite moment conditions	$\omega(1/n)$
[Ge17]		✓	✓	0	finite moment conditions	$\Theta(1)$
[BKMS21]	✓		✓	any	complex Gaussian	1
[BGVKS23]	✓	✓	✓	any	complex Gaussian	1
[BVKS20, JSS21]	✓	✓	✓	real	bounded real density	1
[EJ24]	✓	✓	✓	real/complex	real/complex Gaussian	1
This work	✓	✓	✓	any	complex Gaussian	$\Omega(\log^{2}(n)/n)$