Empirical regularized optimal transport: Statistical theory and applications

M Klatt, C Tameling, A Munk - SIAM Journal on Mathematics of Data Science, 2020 - SIAM
We derive limit distributions for various empirical regularized optimal transport quantities
between probability distributions supported on a finite metric space and show their bootstrap …

Colocalization for super-resolution microscopy via optimal transport

C Tameling, S Stoldt, T Stephan, J Naas… - Nature computational …, 2021 - nature.com
Super-resolution fluorescence microscopy is a widely used technique in cell biology.
Stimulated emission depletion (STED) microscopy enables the recording of multiple-color …

Weak limits for empirical entropic optimal transport: Beyond smooth costs

A González-Sanz, S Hundrieser - arXiv preprint arXiv:2305.09745, 2023 - arxiv.org
We establish weak limits for the empirical entropy regularized optimal transport cost, the
expectation of the empirical plan and the conditional expectation. Our results require only …

[HTML][HTML] MultiMatch: geometry-informed colocalization in multi-color super-resolution microscopy

J Naas, G Nies, H Li, S Stoldt, B Schmitzer… - Communications …, 2024 - nature.com
With recent advances in multi-color super-resolution light microscopy, it is possible to
simultaneously visualize multiple subunits within biological structures at nanometer …

SciJava Ops: An Improved Algorithms Framework for Fiji and Beyond

GJ Selzer, CT Rueden, MC Hiner, EL Evans III… - arXiv preprint arXiv …, 2024 - arxiv.org
Many scientific software platforms provide plugin mechanisms that simplify the integration,
deployment, and execution of externally developed functionality. One of the most widely …

Multiscale adaptive differential abundance analysis in microbial compositional data

S Wang - Bioinformatics, 2023 - academic.oup.com
Motivation Differential abundance analysis is an essential and commonly used tool to
characterize the difference between microbial communities. However, identifying …

Content-aware approach for improving biomedical image analysis: an interdisciplinary study series

I De Santis - 2023 - amsdottorato.unibo.it
Biomedicine is a highly interdisciplinary research area at the interface of sciences, anatomy,
physiology, and medicine. In the last decade, biomedical studies have been greatly …

[HTML][HTML] Co-density distribution maps for advanced molecule colocalization and co-distribution analysis

I De Santis, L Lorenzini, M Moretti, E Martella… - Sensors, 2021 - mdpi.com
Cellular and subcellular spatial colocalization of structures and molecules in biological
specimens is an important indicator of their co-compartmentalization and interaction …

Deep neural network for combined particle tracking and colocalization analysis in two-channel microscopy images

R Spilger, JY Lee, R Bartenschlager… - 2022 IEEE 19th …, 2022 - ieeexplore.ieee.org
Analyzing protein dynamics in multi-channel fluorescence microscopy data is important to
understand biological processes. We present a novel deep learning approach for combined …

Generalizing the statistical analysis of objects' spatial coupling in bioimaging

S Mukherjee, C Gonzalez-Gomez… - IEEE Signal …, 2020 - ieeexplore.ieee.org
We introduce a novel paradigm for statistical analysis of spatial signals, applied to
colocalization studies in bioimaging. Quantitative assessment of the spatial colocalization of …