Normalizing flows: An introduction and review of current methods

I Kobyzev, SJD Prince… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Normalizing Flows are generative models which produce tractable distributions where both
sampling and density evaluation can be efficient and exact. The goal of this survey article is …

Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics

K Cranmer, G Kanwar, S Racanière… - Nature Reviews …, 2023 - nature.com
Sampling from known probability distributions is a ubiquitous task in computational science,
underlying calculations in domains from linguistics to biology and physics. Generative …

E (n) equivariant normalizing flows

V Garcia Satorras, E Hoogeboom… - Advances in …, 2021 - proceedings.neurips.cc
This paper introduces a generative model equivariant to Euclidean symmetries: E (n)
Equivariant Normalizing Flows (E-NFs). To construct E-NFs, we take the discriminative E (n) …

Equivariant flows: exact likelihood generative learning for symmetric densities

J Köhler, L Klein, F Noé - International conference on …, 2020 - proceedings.mlr.press
Normalizing flows are exact-likelihood generative neural networks which approximately
transform samples from a simple prior distribution to samples of the probability distribution of …

Neural stochastic differential equations: Deep latent gaussian models in the diffusion limit

B Tzen, M Raginsky - arXiv preprint arXiv:1905.09883, 2019 - arxiv.org
In deep latent Gaussian models, the latent variable is generated by a time-inhomogeneous
Markov chain, where at each time step we pass the current state through a parametric …

Ode2vae: Deep generative second order odes with bayesian neural networks

C Yildiz, M Heinonen… - Advances in Neural …, 2019 - proceedings.neurips.cc
Abstract We present Ordinary Differential Equation Variational Auto-Encoder (ODE2VAE), a
latent second order ODE model for high-dimensional sequential data. Leveraging the …

Geometrically equivariant graph neural networks: A survey

J Han, Y Rong, T Xu, W Huang - arXiv preprint arXiv:2202.07230, 2022 - arxiv.org
Many scientific problems require to process data in the form of geometric graphs. Unlike
generic graph data, geometric graphs exhibit symmetries of translations, rotations, and/or …

Stochastic normalizing flows

H Wu, J Köhler, F Noé - Advances in Neural Information …, 2020 - proceedings.neurips.cc
The sampling of probability distributions specified up to a normalization constant is an
important problem in both machine learning and statistical mechanics. While classical …

Ot-flow: Fast and accurate continuous normalizing flows via optimal transport

D Onken, SW Fung, X Li, L Ruthotto - Proceedings of the AAAI …, 2021 - ojs.aaai.org
A normalizing flow is an invertible mapping between an arbitrary probability distribution and
a standard normal distribution; it can be used for density estimation and statistical inference …

[PDF][PDF] Learning protein structure with a differentiable simulator

J Ingraham, A Riesselman, C Sander… - … conference on learning …, 2018 - openreview.net
The Boltzmann distribution is a natural model for many systems, from brains to materials and
biomolecules, but is often of limited utility for fitting data because Monte Carlo algorithms are …