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 …
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 …
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 …
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 …
simultaneously visualize multiple subunits within biological structures at nanometer …
SciJava Ops: An Improved Algorithms Framework for Fiji and Beyond
Many scientific software platforms provide plugin mechanisms that simplify the integration,
deployment, and execution of externally developed functionality. One of the most widely …
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 …
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 …
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 …
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 …
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 …
colocalization studies in bioimaging. Quantitative assessment of the spatial colocalization of …