Abstract: We present a rigorous asymptotic analysis of Echo State Networks (ESNs) in a teacher–student setup. Leveraging techniques from random matrix theory, we ...

Data centers face a conundrum: how to power increasingly dense server racks using equipment that relies on century-old technology. Traditional transformers are bulky and hot, but a new generation of ...

An important role in physics research is to uncover universal properties of various systems with different microscopic descriptions. Examples of microscopic models that exhibit paradigmatic properties ...

During a recent appearance on the “So True with Caleb Hearon” podcast, co-director Lilly Wachowski was asked about certain right-wing groups attaching their ideologies to her 1999 sci-fi masterpiece ...

Random Matrix Theory (RMT) is the study of statistical properties of matrices with randomly chosen entries, originally developed to model complex quantum systems. At large matrix dimension, eigenvalue ...

The Matrix hit theaters in 1999 and dazzled audiences with a leather-clad and gravity-defying Keanu Reeves, as he, along with Carrie-Anne Moss and Laurence Fishburne, fought against artificial agents ...

An international criminal communications network, known as the Matrix, containing more than 2 million encrypted messages in 33 languages and spanning 40 servers, has been broken apart by a ...

One scene reflects the themes — A.I., fake news, transgender lives and Gen X — that make the film a classic. By Alissa Wilkinson Neo, the hero of “The Matrix,” is sure he lives in 1999. He has a green ...

Abstract: We study the statistical decision process of detecting the low-rank signal from various signal-plus-noise type data matrices, known as the spiked random matrix models. We first show that the ...

ABSTRACT: Adaptive fractional polynomial modeling of general correlated outcomes is formulated to address nonlinearity in means, variances/dispersions, and correlations. Means and ...

Warner Bros. is ready to re-enter The Matrix. A new "Matrix" film is in the works at Warner Bros. Pictures, with Drew Goddard ("The Cabin in the Woods") set to write and direct, the studio revealed on ...