no code implementations • 17 Oct 2016 • Mu Niu, Zhenwen Dai, Neil Lawrence, Kolja Becker
The spatio-temporal field of protein concentration and mRNA expression are reconstructed without explicitly solving the partial differential equation.
no code implementations • 3 Jan 2018 • Mu Niu, Pokman Cheung, Lizhen Lin, Zhenwen Dai, Neil Lawrence, David Dunson
in-GPs respect the potentially complex boundary or interior conditions as well as the intrinsic geometry of the spaces.
no code implementations • 25 Jun 2020 • Ke Ye, Mu Niu, Pokman Cheung, Zhenwen Dai, YuAn Liu
The introduction of our strip algorithm, tailored for manifolds with extra symmetries, and the ball algorithm, designed for arbitrary manifolds, constitutes our significant contribution.
no code implementations • 21 Dec 2022 • Yihao Fang, Mu Niu, Pokman Cheung, Lizhen Lin
We propose an extrinsic Bayesian optimization (eBO) framework for general optimization problems on manifolds.
no code implementations • NeurIPS 2023 • Mu Niu, Zhenwen Dai, Pokman Cheung, Yizhu Wang
We use the the probabilistic metric tensor to simulate Brownian Motion paths on the unknown manifold.
no code implementations • 29 Jan 2023 • YuAn Liu, Mu Niu, Claire Miller
Motivated by the success of Bayesian optimisation algorithms in the Euclidean space, we propose a novel approach to construct Intrinsic Bayesian optimisation (In-BO) on manifolds with a primary focus on complex constrained domains or irregular-shaped spaces arising as submanifolds of R2, R3 and beyond.