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 …

Hyperbolic deep neural networks: A survey

W Peng, T Varanka, A Mostafa, H Shi… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Recently, hyperbolic deep neural networks (HDNNs) have been gaining momentum as the
deep representations in the hyperbolic space provide high fidelity embeddings with few …

Riemannian score-based generative modelling

V De Bortoli, E Mathieu, M Hutchinson… - Advances in …, 2022 - proceedings.neurips.cc
Score-based generative models (SGMs) are a powerful class of generative models that
exhibit remarkable empirical performance. Score-based generative modelling (SGM) …

Riemannian diffusion models

CW Huang, M Aghajohari, J Bose… - Advances in …, 2022 - proceedings.neurips.cc
Diffusion models are recent state-of-the-art methods for image generation and likelihood
estimation. In this work, we generalize continuous-time diffusion models to arbitrary …

Riemannian flow matching on general geometries

RTQ Chen, Y Lipman - arXiv preprint arXiv:2302.03660, 2023 - arxiv.org
We propose Riemannian Flow Matching (RFM), a simple yet powerful framework for training
continuous normalizing flows on manifolds. Existing methods for generative modeling on …

Flows for simultaneous manifold learning and density estimation

J Brehmer, K Cranmer - Advances in neural information …, 2020 - proceedings.neurips.cc
We introduce manifold-learning flows (ℳ-flows), a new class of generative models that
simultaneously learn the data manifold as well as a tractable probability density on that …

Fully hyperbolic neural networks

W Chen, X Han, Y Lin, H Zhao, Z Liu, P Li… - arXiv preprint arXiv …, 2021 - arxiv.org
Hyperbolic neural networks have shown great potential for modeling complex data.
However, existing hyperbolic networks are not completely hyperbolic, as they encode …

Riemannian continuous normalizing flows

E Mathieu, M Nickel - Advances in Neural Information …, 2020 - proceedings.neurips.cc
Normalizing flows have shown great promise for modelling flexible probability distributions
in a computationally tractable way. However, whilst data is often naturally described on …

Smooth normalizing flows

J Köhler, A Krämer, F Noé - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Normalizing flows are a promising tool for modeling probability distributions in physical
systems. While state-of-the-art flows accurately approximate distributions and energies …

Hyperbolic graph neural networks: A review of methods and applications

M Yang, M Zhou, Z Li, J Liu, L Pan, H Xiong… - arXiv preprint arXiv …, 2022 - arxiv.org
Graph neural networks generalize conventional neural networks to graph-structured data
and have received widespread attention due to their impressive representation ability. In …