1 citations · 1 across the 5 of their papers we have counts for
6 papers
Theoretical Analysis of Thermodynamic Matrix Inversion: First-order Equivalence to Preconditioned Gradient Descent and Implications for Analog Computing
Gerhard Kirsten, Michael Selby, Janith Petangoda +3
Recent research has demonstrated the possibility of exploiting the thermodynamics of coupled electrical oscillators to implement computational tasks such as matrix inversion. While…
Distributional Computational Graphs: Error Bounds
Olof Hallqvist Elias, Michael Selby, Phillip Stanley-Marbell
We study a general framework of distributional computational graphs: computational graphs whose inputs are probability distributions rather than point values. We analyze the discre…
Quantization of Probability Distributions via Divide-and-Conquer: Convergence and Error Propagation under Distributional Arithmetic Operations
Bilgesu Arif Bilgin, Olof Hallqvist Elias, Michael Selby +1
This article studies a general divide-and-conquer algorithm for approximating continuous one-dimensional probability distributions with finite mean. The article presents a numerica…
Percolation for two-dimensional excursion clouds and the discrete Gaussian free field
Alexander Drewitz, Olof Elias, Alexis Prévost +2
We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using ran…
The fractal cylinder process: existence and connectivity phase transition
Erik Broman, Olof Elias, Filipe Mussini +1
We consider a semi-scale invariant version of the Poisson cylinder model which in a natural way induces a random fractal set. We show that this random fractal exhibits an existence…
Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process
Olof Elias, Johan Tykesson
We consider the Brownian interlacements model in Euclidean space, introduced by A.S. Sznitman in \cite{sznitman2013scaling}. We give estimates for the asymptotics of the visibility…