Search Results for author: Ö. Deniz Akyildiz

Found 2 papers, 0 papers with code

Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation

no code implementations23 Mar 2023 Ö. Deniz Akyildiz, Francesca Romana Crucinio, Mark Girolami, Tim Johnston, Sotirios Sabanis

We achieve this by formulating a continuous-time interacting particle system which can be seen as a Langevin diffusion over an extended state space of parameters and latent variables.

$Φ$-DVAE: Physics-Informed Dynamical Variational Autoencoders for Unstructured Data Assimilation

no code implementations30 Sep 2022 Alex Glyn-Davies, Connor Duffin, Ö. Deniz Akyildiz, Mark Girolami

To address these shortcomings, in this paper we develop a physics-informed dynamical variational autoencoder ($\Phi$-DVAE) to embed diverse data streams into time-evolving physical systems described by differential equations.

Uncertainty Quantification

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