A new method generates synthetic data with realistic marginal distributions.
arXiv research
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Improves signal detection in non-Gaussian noise using transformed data.
Improves detection of low-rank signals from noisy data matrices.
A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, introduced by Johnstone, in which a prominent eigenvector (or "spike") is planted into a random matrix. These distributions form natural statistical models for principal component analysis (PCA) problems throughou…
A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, in which a prominent eigenvector is planted into a random matrix. These distributions form natural statistical models for principal component analysis (PCA) problems throughout the sciences. Baik, Ben Arous and Pé…
Local Gaussian correlation struggles in tails but a new method improves it.