1 citations · 2 across the 9 of their papers we have counts for
9 papers
GRIFDIR: Graph Resolution-Invariant Diffusion Models over Irregular Domains
James Rowbottom, Elizabeth L. Baker, Nick Huang +3
Score-based diffusion models in infinite-dimensional function spaces provide a mathematically principled framework for modelling function-valued data, offering key advantages such…
Supervised Guidance Training for Infinite-Dimensional Diffusion Models
Elizabeth L. Baker, Alexander Denker, Jes Frellsen
Score-based diffusion models have recently been extended to infinite-dimensional function spaces, with uses such as inverse problems arising from partial differential equations. In…
Stochastics of shapes and Kunita flows
Stefan Sommer, Gefan Yang, Elizabeth Louise Baker
Stochastic processes of evolving shapes are used in applications including evolutionary biology, where morphology changes stochastically as a function of evolutionary processes. Du…
Conditioning Diffusions Using Malliavin Calculus
Jakiw Pidstrigach, Elizabeth Baker, Carles Domingo-Enrich +2
In generative modelling and stochastic optimal control, a central computational task is to modify a reference diffusion process to maximise a given terminal-time reward. Most exist…
Score matching for bridges without learning time-reversals
Elizabeth L. Baker, Moritz Schauer, Stefan Sommer
We propose a new algorithm for learning bridged diffusion processes using score-matching methods. Our method relies on reversing the dynamics of the forward process and using this…
Infinite-dimensional Diffusion Bridge Simulation via Operator Learning
Gefan Yang, Elizabeth Louise Baker, Michael L. Severinsen +2
The diffusion bridge, which is a diffusion process conditioned on hitting a specific state within a finite period, has found broad applications in various scientific and engineerin…
Scalable physical source-to-field inference with hypernetworks
Berian James, Stefan Pollok, Ignacio Peis +3
We present a generative model that amortises computation for the field and potential around e.g.~gravitational or electromagnetic sources. Exact numerical calculation has either co…
Conditioning non-linear and infinite-dimensional diffusion processes
Elizabeth Louise Baker, Gefan Yang, Michael L. Severinsen +2
Generative diffusion models and many stochastic models in science and engineering naturally live in infinite dimensions before discretisation. To incorporate observed data for stat…
A function space perspective on stochastic shape evolution
Elizabeth Baker, Thomas Besnier, Stefan Sommer
Modelling randomness in shape data, for example, the evolution of shapes of organisms in biology, requires stochastic models of shapes. This paper presents a new stochastic shape m…