Search Results for author: Elad Romanov

Found 4 papers, 2 papers with code

On the Noise Sensitivity of the Randomized SVD

1 code implementation27 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.

Denoising Dimensionality Reduction

On the Role of Channel Capacity in Learning Gaussian Mixture Models

no code implementations15 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.

Spiked Covariance Estimation from Modulo-Reduced Measurements

no code implementations4 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 $\xi\sim \mathcal{N}(0, 1),\bf{Z}\sim \mathcal{N}(\bf{0},\bf{I})$.

Multi-reference alignment in high dimensions: sample complexity and phase transition

1 code implementation22 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.

Vocal Bursts Intensity Prediction

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