Topological framework for directional amplification in driven-dissipative cavity arrays
CC Wanjura, M Brunelli, A Nunnenkamp - Nature communications, 2020 - nature.com
Directional amplification, in which signals are selectively amplified depending on their
propagation direction, has attracted much attention as key resource for applications …
propagation direction, has attracted much attention as key resource for applications …
Single image depth prediction made better: A multivariate gaussian take
Neural-network-based single image depth prediction (SIDP) is a challenging task where the
goal is to predict the scene's per-pixel depth at test time. Since the problem, by definition, is …
goal is to predict the scene's per-pixel depth at test time. Since the problem, by definition, is …
Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
CC Wanjura, M Brunelli, A Nunnenkamp - Physical Review Letters, 2021 - APS
In order for non-Hermitian (NH) topological effects to be relevant for practical applications, it
is necessary to study disordered systems. Without disorder, a class of driven-dissipative …
is necessary to study disordered systems. Without disorder, a class of driven-dissipative …
Facilitation dynamics and localization phenomena in Rydberg lattice gases with position disorder
We explore the dynamics of Rydberg excitations in an optical tweezer array under
antiblockade (or facilitation) conditions. Because of the finite temperature the atomic …
antiblockade (or facilitation) conditions. Because of the finite temperature the atomic …
Local and collective transitions in sparsely-interacting ecological communities
S Marcus, AM Turner, G Bunin - PLoS computational biology, 2022 - journals.plos.org
Interactions in natural communities can be highly heterogeneous, with any given species
interacting appreciably with only some of the others, a situation commonly represented by …
interacting appreciably with only some of the others, a situation commonly represented by …
Understanding approximate fisher information for fast convergence of natural gradient descent in wide neural networks
R Karakida, K Osawa - Advances in neural information …, 2020 - proceedings.neurips.cc
Abstract Natural Gradient Descent (NGD) helps to accelerate the convergence of gradient
descent dynamics, but it requires approximations in large-scale deep neural networks …
descent dynamics, but it requires approximations in large-scale deep neural networks …
Explicit inverse of a tridiagonal k−Toeplitz matrix
CM Fonseca, J Petronilho - Numerische Mathematik, 2005 - Springer
We obtain explicit formulas for the entries of the inverse of a nonsingular and irreducible
tridiagonal k− Toeplitz matrix A. The proof is based on results from the theory of orthogonal …
tridiagonal k− Toeplitz matrix A. The proof is based on results from the theory of orthogonal …
[HTML][HTML] The inverse of banded matrices
The inverses of r-banded matrices, for r= 1, 2, 3 have been thoroughly investigated as one
can see from the references we provide. Let Br, n (1≤ r≤ n) be an n× n matrix of entries …
can see from the references we provide. Let Br, n (1≤ r≤ n) be an n× n matrix of entries …
Ninety years of k -tridiagonal matrices
CM da Fonseca, V Kowalenko… - Studia Scientiarum …, 2020 - akjournals.com
This survey revisits Jenő Egerváry and Otto Szász's article of 1928 on trigonometric
polynomials and simple structured matrices focussing mainly on the latter topic. In particular …
polynomials and simple structured matrices focussing mainly on the latter topic. In particular …
Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators
The aim of this paper is fourfold:(i) to obtain explicit formulas for the eigenpairs of perturbed
tridiagonal block Toeplitz matrices;(ii) to make use of such formulas in order to provide a …
tridiagonal block Toeplitz matrices;(ii) to make use of such formulas in order to provide a …