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 …

[HTML][HTML] Trellis tree-based analysis reveals stromal regulation of patient-derived organoid drug responses

MR Zapatero, A Tong, JW Opzoomer, R O'Sullivan… - Cell, 2023 - cell.com
Patient-derived organoids (PDOs) can model personalized therapy responses; however,
current screening technologies cannot reveal drug response mechanisms or how tumor …

Scalable unbalanced Sobolev transport for measures on a graph

T Le, T Nguyen, K Fukumizu - International Conference on …, 2023 - proceedings.mlr.press
Optimal transport (OT) is a popular and powerful tool for comparing probability measures.
However, OT suffers a few drawbacks:(i) input measures required to have the same mass,(ii) …

Geodesic sinkhorn for fast and accurate optimal transport on manifolds

G Huguet, A Tong, MR Zapatero… - 2023 IEEE 33rd …, 2023 - ieeexplore.ieee.org
Efficient computation of optimal transport distance between distributions is of growing
importance in data science. Sinkhorn-based methods are currently the state-of-the-art for …

Trellis single-cell screening reveals stromal regulation of patient-derived organoid drug responses

MR Zapatero, A Tong, J Sufi, P Vlckova, FC Rodriguez… - bioRxiv, 2022 - biorxiv.org
Patient-derived organoids (PDOs) can model personalized therapy responses, however
current screening technologies cannot reveal drug response mechanisms or study how …

Mapping the gene space at single-cell resolution with gene signal pattern analysis

A Venkat, S Leone, SE Youlten, E Fagerberg… - Nature Computational …, 2024 - nature.com
In single-cell sequencing analysis, several computational methods have been developed to
map the cellular state space, but little has been done to map or create embeddings of the …

Mapping the gene space at single-cell resolution with gene signal pattern analysis

A Venkat, S Leone, SE Youlten, E Fagerberg… - bioRxiv, 2023 - biorxiv.org
In single-cell sequencing analysis, several computational methods have been developed to
map the cellular state space, but little has been done to map the gene space. Here, we …

Fast unsupervised ground metric learning with tree-Wasserstein distance

KM Düsterwald, S Hromadka, M Yamada - arXiv preprint arXiv …, 2024 - arxiv.org
The performance of unsupervised methods such as clustering depends on the choice of
distance metric between features, or ground metric. Commonly, ground metrics are decided …

Unsupervised ground metric learning using wasserstein singular vectors

GJ Huizing, L Cantini, G Peyré - International Conference on …, 2022 - proceedings.mlr.press
Defining meaningful distances between samples in a dataset is a fundamental problem in
machine learning. Optimal Transport (OT) lifts a distance between features (the" ground …

Motifs and Manifolds Statistical and Topological Machine Learning for Characterising and Classifying Biomedical Time Series

C Bock - 2021 - research-collection.ethz.ch
The increased focus on evidence-based practice in the health sciences led to a plethora of
(un) organised and digitised data. In conjunction with the availability of technological …