51 citations · 131 across the 9 of their papers we have counts for
13 papers
Dynamical Isometry is Achieved in Residual Networks in a Universal Way for any Activation Function
Wojciech Tarnowski, Piotr Warchoł, Stanisław Jastrzębski +2
We demonstrate that in residual neural networks (ResNets) dynamical isometry is achievable irrespectively of the activation function used. We do that by deriving, with the help of…
Full Dysonian dynamics of the complex Ginibre ensemble
Jacek Grela, Piotr Warchoł
We find stochastic equations governing eigenvalues and eigenvectors of a dynamical complex Ginibre ensemble reaffirming the intertwined role played between both sets of matrix degr…
Buses of Cuernavaca - an agent-based model for universal random matrix behavior minimizing mutual information
Piotr Warchoł
The public transportation system of Cuernavaca, Mexico, exhibits random matrix theory statistics [1]. In particular, the fluctuation of times between the arrival of buses on a give…
Ornstein-Uhlenbeck diffusion of hermitian and non-hermitian matrices - unexpected links
Jean-Paul Blaizot, Jacek Grela, Maciej A. Nowak +2
We compare the Ornstein-Uhlenbeck process for the Gaussian Unitary Ensemble to its non-hermitian counterpart - for the complex Ginibre ensemble. We exploit the mathematical framewo…
Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential
Yizhuang Liu, Piotr Warchol, Ismail Zahed
We present a hydrodynamical description of the QCD Dirac spectrum at finite chemical potential as an uncompressible droplet in the complex eigenvalue space. For a large droplet, th…
Hydrodynamics of the Chiral Dirac Spectrum
Yizhuang Liu, Piotr Warchol, Ismail Zahed
We derive a hydrodynamical description of the eigenvalues of the chiral Dirac spectrum in the vacuum and in the large (volume) limit. The linearized hydrodynamics supports soun…