ArticlePattern recognition2016
A continuous linear optimal transport approach for pattern analysis in image datasets.
Article in Pattern recognition, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
13 citing papers in PubMed.
- Article
- Predictive modeling of hematoma expansion from non-contrast computed tomography in spontaneous intracerebral hemorrhage patients.medRxiv : the preprint server for health sciences · 2025Article
- Discovering the gene-brain-behavior link in autism via generative machine learning.Science advances · 2024Article
- PARTITIONING SIGNAL CLASSES USING TRANSPORT TRANSFORMS FOR DATA ANALYSIS AND MACHINE LEARNING.Sampling theory, signal processing, and data analysis · 2021Article
- Investigating impact of cardiorespiratory fitness in reducing brain tissue loss caused by ageing.Brain communications · 2021Article
- Enabling early detection of osteoarthritis from presymptomatic cartilage texture maps via transport-based learning.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Image-derived models of cell organization changes during differentiation and drug treatments.Molecular biology of the cell · 2020Article
- Assessing Postconcussive Reaction Time Using Transport-Based Morphometry of Diffusion Tensor Images.AJNR. American journal of neuroradiology · 2019Article
- Discovery and visualization of structural biomarkers from MRI using transport-based morphometry.NeuroImage · 2018Article
- A TransportationJournal of mathematical imaging and vision · 2017Article
- Optimal Mass Transport: Signal processing and machine-learning applications.IEEE signal processing magazine · 2017Article
- Predictive Nuclear Chromatin Characteristics of Melanoma and Dysplastic Nevi.Journal of pathology informatics · 2017Article
- The Radon Cumulative Distribution Transform and Its Application to Image Classification.IEEE transactions on image processing : a publication of the IEEE Signal Processing Society · 2016Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
We present a new approach to facilitate the application of the optimal transport metric to pattern recognition on image databases. The method is based on a linearized version of the optimal transport metric, which provides a linear embedding for the images. Hence, it enables shape and appearance modeling using linear geometric analysis techniques in the embedded space. In contrast to previous work, we use Monge's formulation of the optimal transport problem, which allows for reasonably fast computation of the linearized optimal transport embedding for large images. We demonstrate the application of the method to recover and visualize meaningful variations in a supervised-learning setting on several image datasets, including chromatin distribution in the nuclei of cells, galaxy morphologies, facial expressions, and bird species identification. We show that the new approach allows for high-resolution construction of modes of variations and discrimination and can enhance classification accuracy in a variety of image discrimination problems.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.