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Riemannian Manifolds for Biological Imaging Applications Based on Unsupervised Learning
Ilya Larin1, Alexander Karabelsky1
1Center for Translational Medicine, Sirius University of Science and Technology, Federal Territory Sirius, 1 Olympic Ave., Sirius 354340, Russia.
Journal of Imaging
|April 25, 2025
Summary
This study explores unsupervised learning for single-cell image clustering using latent representations. Findings highlight the potential of morphological feature extraction for advancing biotechnology and medical applications.
Area of Science:
- Computational Biology
- Biotechnology
- Medical Imaging
Background:
- Neural networks and multimodal systems are increasingly important in biological research.
- Computer vision techniques, particularly for cell image analysis, are underutilized.
- Unsupervised learning for image clustering, especially for single cells, presents significant opportunities.
Purpose of the Study:
- To evaluate the feasibility of using latent representations for single-cell clustering in medicine and biotechnology.
- To explore the application of embeddings for morphological cell characterization.
- To investigate neural network applications in muscle differentiation studies using C2C12 cells.
Main Methods:
- Utilizing latent space analysis for extracting morphological features from cell images.
- Applying unsupervised learning techniques, including graph-based methods and hyperbolic embeddings.
- Investigating clustering and segmentation in non-Euclidean spaces using the Poincaré ball model.
Main Results:
- Demonstrated the potential of latent representations for morphological feature extraction in cell images.
- Showcased the applicability of unsupervised learning for single-cell image clustering.
- Highlighted the value of hyperbolic embeddings for vision tasks like clustering.
Conclusions:
- High-quality latent representations from phase-contrast or bright-field images open new avenues for visual-language models in biology.
- Unsupervised segmentation in non-Euclidean spaces is a promising, yet undervalued, research area.
- This work lays the foundation for integrating visual and biological data into multimodal spaces for in vitro studies.

