22 citations · 52 across the 8 of their papers we have counts for
11 papers
Actually Sparse Variational Gaussian Processes
Harry Jake Cunningham, Daniel Augusto de Souza, So Takao +2
Gaussian processes (GPs) are typically criticised for their unfavourable scaling in both computational and memory requirements. For large datasets, sparse GPs reduce these demands…
Short-term Prediction and Filtering of Solar Power Using State-Space Gaussian Processes
Sean Nassimiha, Peter Dudfield, Jack Kelly +2
Short-term forecasting of solar photovoltaic energy (PV) production is important for powerplant management. Ideally these forecasts are equipped with error bars, so that downstream…
Transport noise restores uniqueness and prevents blow-up in geometric transport equations
Aythami Bethencourt-de-León, So Takao
In this work, we demonstrate well-posedness and regularisation by noise results for a class of geometric transport equations that contains, among others, the linear transport and c…
Vector-valued Gaussian Processes on Riemannian Manifolds via Gauge Independent Projected Kernels
Michael Hutchinson, Alexander Terenin, Viacheslav Borovitskiy +3
Gaussian processes are machine learning models capable of learning unknown functions in a way that represents uncertainty, thereby facilitating construction of optimal decision-mak…
A Unifying and Canonical Description of Measure-Preserving Diffusions
Alessandro Barp, So Takao, Michael Betancourt +2
A complete recipe of measure-preserving diffusions in Euclidean space was recently derived unifying several MCMC algorithms into a single framework. In this paper, we develop a geo…
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
Diego Alonso-Oran, Aythami Bethencourt de Leon, Darryl Holm +1
The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to…
Well-posedness by noise for linear advection of -forms
Aythami Bethencourt de Leon, So Takao
In this work, we extend existing well-posedness by noise results for the stochastic transport and continuity equations by treating them as special cases of the linear advection equ…
Irreversible Langevin MCMC on Lie Groups
Alexis Arnaudon, Alessandro Barp, So Takao
It is well-known that irreversible MCMC algorithms converge faster to their stationary distributions than reversible ones. Using the special geometric structure of Lie groups $\mat…
Implications of Kunita-Itô-Wentzell formula for -forms in stochastic fluid dynamics
Aythami Bethencourt de Léon, Darryl Holm, Erwin Luesink +1
We extend the Itô-Wentzell formula for the evolution of a time-dependent stochastic field along a semimartingale to -form-valued stochastic processes. The result is the Kunita-I…
The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions
Diego Alonso-Orán, Aythami Bethencourt de León, So Takao
In this work, we examine the solution properties of the Burgers' equation with stochastic transport. First, we prove results on the formation of shocks in the stochastic equation a…
Networks of Coadjoint Orbits: from Geometric to Statistical Mechanics
Alexis Arnaudon, So Takao
A class of network models with symmetry group that evolve as a Lie-Poisson system is derived from the framework of geometric mechanics, which generalises the classical Heisenbe…