42 citations · 57 across the 4 of their papers we have counts for
7 papers
Exact Inference on Gaussian Graphical Models of Arbitrary Topology using Path-Sums
P. -L. Giscard, Z. Choo, S. J. Thwaite +1
We present the path-sum formulation for exact statistical inference of marginals on Gaussian graphical models of arbitrary topology. The path-sum formulation gives the covariance b…
An Exact Formulation of the Time-Ordered Exponential using Path-Sums
P. -L. Giscard, K. Lui, S. J. Thwaite +1
We present the path-sum formulation for , the time-ordered exponential of a time-de…
A family of partitions of the set of walks on a directed graph
Simon Thwaite
We present a family of partitions of , the set of walks on a directed graph . Each partition in this family is identified by an integer sequence , wh…
Walk-Sums, Continued Fractions and Unique Factorisation on Digraphs
P. -L. Giscard, S. J. Thwaite, D. Jaksch
We show that the series of all walks between any two vertices of any (possibly weighted) directed graph is given by a universal continued fraction of finite depth and…
Evaluating Matrix Functions by Resummations on Graphs: the Method of Path-Sums
P. -L. Giscard, S. J. Thwaite, D. Jaksch
We introduce the method of path-sums which is a tool for exactly evaluating a function of a discrete matrix with possibly non-commuting entries, based on the closed-form resummatio…
Ultra-large Rydberg dimers in optical lattices
B. Vaucher, S. J. Thwaite, D. Jaksch
We investigate the dynamics of Rydberg electrons excited from the ground state of ultracold atoms trapped in an optical lattice. We first consider a lattice comprising an array of…