Geometric dataset distances via optimal transport
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 …
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
Patient-derived organoids (PDOs) can model personalized therapy responses; however,
current screening technologies cannot reveal drug response mechanisms or how tumor …
current screening technologies cannot reveal drug response mechanisms or how tumor …
Projection‐based techniques for high‐dimensional optimal transport problems
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 …
measures, such that the transformation has the minimum transportation cost. Such a …
Sliced optimal partial transport
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 …
and computer vision. The core assumption in the OT problem is the equal total amount of …
Statistical analysis of Wasserstein distributionally robust estimators
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 …
extract good out-of-sample performance in data-driven optimization and learning problems …
Hotnas: Hierarchical optimal transport for neural architecture search
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 …
search for multiple relatively small cells to reduce search costs. A major challenge is to …
Scalable nearest neighbor search for optimal transport
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 …
similarity measure for rich data domains, such as images or text documents. This raises the …
Minibatch optimal transport distances; analysis and applications
Optimal transport distances have become a classic tool to compare probability distributions
and have found many applications in machine learning. Yet, despite recent algorithmic …
and have found many applications in machine learning. Yet, despite recent algorithmic …
Scalable Optimal Transport Methods in Machine Learning: A Contemporary Survey
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 …
century and has led to a plethora of methods for answering many theoretical and applied …
Re-evaluating word mover's distance
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 …
two documents. As the crux of WMD, it can take advantage of the underlying geometry of the …