Geometric dataset distances via optimal transport

D Alvarez-Melis, N Fusi - Advances in Neural Information …, 2020 - proceedings.neurips.cc
The notion of task similarity is at the core of various machine learning paradigms, such as
domain adaptation and meta-learning. Current methods to quantify it are often heuristic …

[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 …

Projection‐based techniques for high‐dimensional optimal transport problems

J Zhang, P Ma, W Zhong, C Meng - Wiley Interdisciplinary …, 2023 - Wiley Online Library
Optimal transport (OT) methods seek a transformation map (or plan) between two probability
measures, such that the transformation has the minimum transportation cost. Such a …

Sliced optimal partial transport

Y Bai, B Schmitzer, M Thorpe… - Proceedings of the …, 2023 - openaccess.thecvf.com
Optimal transport (OT) has become exceedingly popular in machine learning, data science,
and computer vision. The core assumption in the OT problem is the equal total amount of …

Statistical analysis of Wasserstein distributionally robust estimators

J Blanchet, K Murthy… - Tutorials in Operations …, 2021 - pubsonline.informs.org
We consider statistical methods that invoke a min-max distributionally robust formulation to
extract good out-of-sample performance in data-driven optimization and learning problems …

Hotnas: Hierarchical optimal transport for neural architecture search

J Yang, Y Liu, H Xu - … of the IEEE/CVF Conference on …, 2023 - openaccess.thecvf.com
Instead of searching the entire network directly, current NAS approaches increasingly
search for multiple relatively small cells to reduce search costs. A major challenge is to …

Scalable nearest neighbor search for optimal transport

A Backurs, Y Dong, P Indyk… - International …, 2020 - proceedings.mlr.press
Abstract The Optimal Transport (aka Wasserstein) distance is an increasingly popular
similarity measure for rich data domains, such as images or text documents. This raises the …

Minibatch optimal transport distances; analysis and applications

K Fatras, Y Zine, S Majewski, R Flamary… - arxiv preprint arxiv …, 2021 - arxiv.org
Optimal transport distances have become a classic tool to compare probability distributions
and have found many applications in machine learning. Yet, despite recent algorithmic …

Scalable Optimal Transport Methods in Machine Learning: A Contemporary Survey

A Khamis, R Tsuchida, M Tarek… - … on Pattern Analysis …, 2024 - ieeexplore.ieee.org
Optimal Transport (OT) is a mathematical framework that first emerged in the eighteenth
century and has led to a plethora of methods for answering many theoretical and applied …

Re-evaluating word mover's distance

R Sato, M Yamada, H Kashima - … Conference on Machine …, 2022 - proceedings.mlr.press
The word mover's distance (WMD) is a fundamental technique for measuring the similarity of
two documents. As the crux of WMD, it can take advantage of the underlying geometry of the …