4 papers
Hyperiax and Phylogenetic Inference from Shape Data
Gefan Yang, Marcus Teller, Christy Hipsley +2
Phylogenetic inference on high-dimensional morphological traits requires algorithms that account for both the nonlinear geometry of the shape data and the phylogenetic tree structu…
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…
Parameter Inference via Differentiable Diffusion Bridge Importance Sampling
Nicklas Boserup, Gefan Yang, Michael Lind Severinsen +2
We introduce a methodology for performing parameter inference in high-dimensional, non-linear diffusion processes. We illustrate its applicability for obtaining insights into the e…
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…