When does Metropolized Hamiltonian Monte Carlo provably outperform Metropolis-adjusted Langevin algorithm?

Y Chen, K Gatmiry - arXiv preprint arXiv:2304.04724, 2023 - arxiv.org
We analyze the mixing time of Metropolized Hamiltonian Monte Carlo (HMC) with the
leapfrog integrator to sample from a distribution on $\mathbb {R}^ d $ whose log-density is …

Analysis of convolutional neural network image classifiers in a hierarchical max-pooling model with additional local pooling

B Walter - Journal of Statistical Planning and Inference, 2023 - Elsevier
In practical applications of image classification, methods based on convolutional neural
networks are used as standard nowadays. However, the success of these methods is not …