Optimal transport for single-cell and spatial omics

C Bunne, G Schiebinger, A Krause, A Regev… - Nature Reviews …, 2024 - nature.com
High-throughput single-cell profiling provides an unprecedented ability to uncover the
molecular states of millions of cells. These technologies are, however, destructive to cells …

Flow straight and fast: Learning to generate and transfer data with rectified flow

X Liu, C Gong, Q Liu - arxiv preprint arxiv:2209.03003, 2022 - arxiv.org
We present rectified flow, a surprisingly simple approach to learning (neural) ordinary
differential equation (ODE) models to transport between two empirically observed …

Improving and generalizing flow-based generative models with minibatch optimal transport

A Tong, K Fatras, N Malkin, G Huguet, Y Zhang… - arxiv preprint arxiv …, 2023 - arxiv.org
Continuous normalizing flows (CNFs) are an attractive generative modeling technique, but
they have thus far been held back by limitations in their simulation-based maximum …

ISB: Image-to-Image Schr\"odinger Bridge

GH Liu, A Vahdat, DA Huang, EA Theodorou… - arxiv preprint arxiv …, 2023 - arxiv.org
We propose Image-to-Image Schr\" odinger Bridge (I $^ 2$ SB), a new class of conditional
diffusion models that directly learn the nonlinear diffusion processes between two given …

Fast sampling of diffusion models with exponential integrator

Q Zhang, Y Chen - arxiv preprint arxiv:2204.13902, 2022 - arxiv.org
The past few years have witnessed the great success of Diffusion models~(DMs) in
generating high-fidelity samples in generative modeling tasks. A major limitation of the DM is …

Diffusion schrödinger bridge matching

Y Shi, V De Bortoli, A Campbell… - Advances in Neural …, 2023 - proceedings.neurips.cc
Solving transport problems, ie finding a map transporting one given distribution to another,
has numerous applications in machine learning. Novel mass transport methods motivated …

Diffusion schrödinger bridge with applications to score-based generative modeling

V De Bortoli, J Thornton, J Heng… - Advances in Neural …, 2021 - proceedings.neurips.cc
Progressively applying Gaussian noise transforms complex data distributions to
approximately Gaussian. Reversing this dynamic defines a generative model. When the …

Dual diffusion implicit bridges for image-to-image translation

X Su, J Song, C Meng, S Ermon - arxiv preprint arxiv:2203.08382, 2022 - arxiv.org
Common image-to-image translation methods rely on joint training over data from both
source and target domains. The training process requires concurrent access to both …

Riemannian score-based generative modelling

V De Bortoli, E Mathieu, M Hutchinson… - Advances in neural …, 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) …

Diffusion-based molecule generation with informative prior bridges

L Wu, C Gong, X Liu, M Ye… - Advances in neural …, 2022 - proceedings.neurips.cc
AI-based molecule generation provides a promising approach to a large area of biomedical
sciences and engineering, such as antibody design, hydrolase engineering, or vaccine …