Search Results for author: Benoit Collins

Found 3 papers, 1 papers with code

Asymptotic Freeness of Layerwise Jacobians Caused by Invariance of Multilayer Perceptron: The Haar Orthogonal Case

no code implementations24 Mar 2021 Benoit Collins, Tomohiro Hayase

Lastly, we can replace each weight with a Haar orthogonal random matrix independent of the Jacobian of the activation function using this key fact.

A metric characterization of freeness

no code implementations4 Mar 2021 Léonard Cadilhac, Benoit Collins

Let $\mathcal{M}$ be a finite von Neumann algebra and $u_1,\dots, u_N$ be unitaries in $\mathcal{M}$.

Operator Algebras 46L54

Generating random density matrices

3 code implementations18 Oct 2010 Karol Zyczkowski, Karol A. Penson, Ion Nechita, Benoit Collins

We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems.

Quantum Physics Mathematical Physics Mathematical Physics

Cannot find the paper you are looking for? You can Submit a new open access paper.