Multi-omics integration in the age of million single-cell data

Z Miao, BD Humphreys, AP McMahon… - Nature Reviews …, 2021 - nature.com
An explosion in single-cell technologies has revealed a previously underappreciated
heterogeneity of cell types and novel cell-state associations with sex, disease, development …

Unbalanced optimal transport, from theory to numerics

T Séjourné, G Peyré, FX Vialard - Handbook of Numerical Analysis, 2023 - Elsevier
Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare
in a geometrically faithful way point clouds and more generally probability distributions. The …

Alignment and integration of spatial transcriptomics data

R Zeira, M Land, A Strzalkowski, BJ Raphael - Nature Methods, 2022 - nature.com
Spatial transcriptomics (ST) measures mRNA expression across thousands of spots from a
tissue slice while recording the two-dimensional (2D) coordinates of each spot. We …

Learning single-cell perturbation responses using neural optimal transport

C Bunne, SG Stark, G Gut, JS Del Castillo… - Nature …, 2023 - nature.com
Understanding and predicting molecular responses in single cells upon chemical, genetic or
mechanical perturbations is a core question in biology. Obtaining single-cell measurements …

Curriculum reinforcement learning via constrained optimal transport

P Klink, H Yang, C D'Eramo, J Peters… - International …, 2022 - proceedings.mlr.press
Curriculum reinforcement learning (CRL) allows solving complex tasks by generating a
tailored sequence of learning tasks, starting from easy ones and subsequently increasing …

Bi-order multimodal integration of single-cell data

J Dou, S Liang, V Mohanty, Q Miao, Y Huang, Q Liang… - Genome biology, 2022 - Springer
Integration of single-cell multiomics profiles generated by different single-cell technologies
from the same biological sample is still challenging. Previous approaches based on shared …

Linear-time gromov wasserstein distances using low rank couplings and costs

M Scetbon, G Peyré, M Cuturi - International Conference on …, 2022 - proceedings.mlr.press
The ability to align points across two related yet incomparable point clouds (eg living in
different spaces) plays an important role in machine learning. The Gromov-Wasserstein …

Fused Gromov-Wasserstein distance for structured objects

T Vayer, L Chapel, R Flamary, R Tavenard, N Courty - Algorithms, 2020 - mdpi.com
Optimal transport theory has recently found many applications in machine learning thanks to
its capacity to meaningfully compare various machine learning objects that are viewed as …

Manifold alignment for heterogeneous single-cell multi-omics data integration using Pamona

K Cao, Y Hong, L Wan - Bioinformatics, 2022 - academic.oup.com
Motivation Single-cell multi-omics sequencing data can provide a comprehensive molecular
view of cells. However, effective approaches for the integrative analysis of such data are …

Infoot: Information maximizing optimal transport

CY Chuang, S Jegelka… - … on Machine Learning, 2023 - proceedings.mlr.press
Optimal transport aligns samples across distributions by minimizing the transportation cost
between them, eg, the geometric distances. Yet, it ignores coherence structure in the data …