40 citations · 144 across the 13 of their papers we have counts for
14 papers
Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation
D. Ron, A. Brandt, R. H. Swendsen
We present a simple approach to high-accuracy calculations of critical properties for the three-dimensional Ising model, without prior knowledge of the critical temperature. The it…
On Detection of Faint Edges in Noisy Images
Nati Ofir, Meirav Galun, Sharon Alpert +3
A fundamental question for edge detection in noisy images is how faint can an edge be and still be detected. In this paper we offer a formalism to study this question and subsequen…
The surprising convergence of the Monte Carlo renormalization group for the d=3 Ising Model
Dorit Ron, Achi Brandt, Robert H. Swendsen
We present a surprisingly simple approach to high-accuracy calculations of critical properties of the three-dimensional Ising model. The method uses a modified block-spin transform…
Algebraic distance for anisotropic diffusion problems: multilevel results
A. Brandt, J. Brannick, K. Kahl +1
In this paper we motivate, discuss the implementation and present the resulting numerics for a new definition of strength of connection which is based on the notion of algebraic di…
Bootstrap Algebraic Multigrid: status report, open problems, and outlook
Achi Brandt, James Brannick, Karsten Kahl +1
This paper provides an overview of the main ideas driving the bootstrap algebraic multigrid methodology, including compatible relaxation and algebraic distances for defining effect…
Lean Algebraic Multigrid (LAMG): Fast Graph Laplacian Linear Solver (Journal Version)
Oren E. Livne, Achi Brandt
Laplacian matrices of graphs arise in large-scale computational applications such as semi-supervised machine learning; spectral clustering of images, genetic data and web pages; tr…