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Affine Invariant Ensemble Transform Methods to Improve Predictive Uncertainty in ReLU Networks
We consider the problem of performing Bayesian inference for logistic regression using appropriate extensions of the ensemble Kalman filter.
Infinite-Dimensional Diffusion Models
For image distributions, these guidelines are in line with the canonical choices currently made for diffusion models.
Score-Based Generative Models Detect Manifolds
Score-based generative models (SGMs) need to approximate the scores $\nabla \log p_t$ of the intermediate distributions as well as the final distribution $p_T$ of the forward process.
Convergence of Preconditioned Hamiltonian Monte Carlo on Hilbert Spaces
In this article, we consider the preconditioned Hamiltonian Monte Carlo (pHMC) algorithm defined directly on an infinite-dimensional Hilbert space.
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