7 papers
A discontinuous Galerkin approximation of the Dean--Kawasaki equation
Kamran Arora, Federico Cornalba, Tony Shardlow
We introduce and analyse an arbitrary order spatial discontinuous Galerkin (dG) method for the Dean--Kawasaki equation, a highly singular SPDE modelling density fluctuations of …
Gaussian Process Diffeomorphic Statistical Shape Modelling Outperforms Angle-Based Methods for Assessment of Hip Dysplasia
Allen Paul, George Grammatopoulos, Adwaye Rambojun +3
Dysplasia is a recognised risk factor for osteoarthritis (OA) of the hip, early diagnosis of dysplasia is important to provide opportunities for surgical interventions aimed at red…
ARC-Flow : Articulated, Resolution-Agnostic, Correspondence-Free Matching and Interpolation of 3D Shapes Under Flow Fields
Adam Hartshorne, Allen Paul, Tony Shardlow +1
This work presents a unified framework for the unsupervised prediction of physically plausible interpolations between two 3D articulated shapes and the automatic estimation of dens…
Sparse Randomized Approximation of Normal Cycles
Allen Paul, Neill Campbell, Tony Shardlow
We extend our work for compression of currents and varifolds to a compression algorithm for the embedded normal cycles representation of shape, restricted to the constant normal ke…
Hadamard Langevin dynamics for sampling the l1-prior
Ivan Cheltsov, Federico Cornalba, Clarice Poon +1
Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling me…
Compression of Currents and Varifolds
Allen Paul, Neill Campbell, Tony Shardlow
We derive an algorithm for compression of the currents and varifolds representations of shapes, using ridge leverage score (RLS) sampling, and the theory of Nystrom approximation i…
Compressed online Sinkhorn
Fengpei Wang, Clarice Poon, Tony Shardlow
The use of optimal transport (OT) distances, and in particular entropic-regularised OT distances, is an increasingly popular evaluation metric in many areas of machine learning and…