1 code implementation • 27 May 2023 • Elad Romanov
Lastly, we derive an optimal singular value shrinker for singular values and vectors obtained through the R-SVD, which may be useful for applications in matrix denoising.
no code implementations • 15 Feb 2022 • Elad Romanov, Tamir Bendory, Or Ordentlich
While our results are only proved for GMMs whose centers are uniformly distributed over the sphere, they hint that perhaps it is the decoding error probability associated with the center constellation as a channel code that determines the statistical difficulty of learning the corresponding GMM, rather than just the minimum distance.
no code implementations • 4 Oct 2021 • Elad Romanov, Or Ordentlich
Consider the rank-1 spiked model: $\bf{X}=\sqrt{\nu}\xi \bf{u}+ \bf{Z}$, where $\nu$ is the spike intensity, $\bf{u}\in\mathbb{S}^{k-1}$ is an unknown direction and $\xi\sim \mathcal{N}(0, 1),\bf{Z}\sim \mathcal{N}(\bf{0},\bf{I})$.
1 code implementation • 22 Jul 2020 • Elad Romanov, Tamir Bendory, Or Ordentlich
Multi-reference alignment entails estimating a signal in $\mathbb{R}^L$ from its circularly-shifted and noisy copies.