4 papers · 1 filter
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 …
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…