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Paul Dobson
Paul Dobson
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Title
Cited by
Cited by
Year
Uniform in time estimates for the weak error of the Euler method for SDEs and a pathwise approach to derivative estimates for diffusion semigroups
D Crisan, P Dobson, M Ottobre
Transactions of the American Mathematical Society 374 (5), 3289-3330, 2021
162021
Subgeometric hypocoercivity for piecewise-deterministic Markov process Monte Carlo methods
C Andrieu, P Dobson, AQ Wang
Electronic Journal of Probability 26, 1-26, 2021
142021
Fast non-mean-field networks: Uniform in time averaging
J Barré, P Dobson, M Ottobre, E Zatorska
SIAM Journal on Mathematical Analysis 53 (1), 937-972, 2021
122021
Efficient Bayesian computation for low-photon imaging problems
S Melidonis, P Dobson, Y Altmann, M Pereyra, K Zygalakis
SIAM Journal on Imaging Sciences 16 (3), 1195-1234, 2023
112023
Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes
T Cass, D Crisan, P Dobson, M Ottobre
Electronic Journal of Probability 26, 1-72, 2021
112021
Reversible and non-reversible Markov chain Monte Carlo algorithms for reservoir simulation problems
P Dobson, I Fursov, G Lord, M Ottobre
Computational Geosciences 24 (3), 1301-1313, 2020
102020
Approximations of Piecewise Deterministic Markov Processes and their convergence properties
A Bertazzi, J Bierkens, P Dobson
Stochastic Processes and their Applications 154, 91-153, 2022
82022
Poisson Equations with locally-Lipschitz coefficients and Uniform in Time Averaging for Stochastic Differential Equations via Strong Exponential Stability
D Crisan, P Dobson, B Goddard, M Ottobre, I Souttar
arXiv preprint arXiv:2204.02679, 2022
82022
Infinite dimensional Piecewise Deterministic Markov Processes
P Dobson, J Bierkens
Stochastic Processes and their Applications 165, 337-396, 2023
12023
Splitting schemes for second order approximations of piecewise-deterministic Markov processes
A Bertazzi, P Dobson, P Monmarché
arXiv preprint arXiv:2301.02537, 2023
12023
Accelerated Bayesian imaging by relaxed proximal-point Langevin sampling
T Klatzer, P Dobson, Y Altmann, M Pereyra, JM Sanz-Serna, KC Zygalakis
arXiv preprint arXiv:2308.09460, 2023
2023
On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights
P Dobson, JM Sanz-Serna, K Zygalakis
arXiv preprint arXiv:2305.08658, 2023
2023
Stochastic differential equations with multiple invariant measures and related problems
P Dobson
Heriot-Watt University, 2019
2019
Accelerating MCMC for imaging science by using an implicit Langevin algorithm
T Klatzer, P Dobson, K Zygalakis, M Pereyra, Y Altmann
Uniform in time Estimates for the weak error of the Euler method for SDEs
P Dobson
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Articles 1–15