3 citations · 3 across the 1 of their papers we have counts for
7 papers
Transient amplification in balanced neural networks
Wojciech Tarnowski
Transient amplification has been proposed as an important mechanism not only in neuroscience but in many areas modeled by dynamical systems. Despite that, there is no clear biologi…
Condition numbers for real eigenvalues in the real Elliptic Gaussian ensemble
Yan V. Fyodorov, Wojciech Tarnowski
We study the distribution of the eigenvalue condition numbers associated with real eigenvalues of par…
Narain transform for spectral deformations of random matrix models
Maciej A. Nowak, Wojciech Tarnowski
We start from applying the general idea of spectral projection (suggested by Olshanski and Borodin and advocated by Tao) to the complex Wishart model. Combining the ideas of spectr…
Universal spectra of random Lindblad operators
Sergey Denisov, Tetyana Laptyeva, Wojciech Tarnowski +2
To understand typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate Markovian completely positive evo…
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…
From synaptic interactions to collective dynamics in random neuronal networks models: critical role of eigenvectors and transient behavior
Ewa Gudowska-Nowak, Maciej A. Nowak, Dante R. Chialvo +2
The study of neuronal interactions is currently at the center of several big collaborative neuroscience projects (including the Human Connectome Project, the Blue Brain Project, th…