Visualizing structure and transitions in high-dimensional biological data
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Abstract
The high-dimensional data created by high-throughput technologies require visualization tools that reveal data structure and patterns in an intuitive form. We present PHATE, a visualization method that captures both local and global nonlinear structure using an information-geometric distance between data points. We compare PHATE to other tools on a variety of artificial and biological datasets, and find that it consistently preserves a range of patterns in data, including continual progressions, branches and clusters, better than other tools. We define a manifold preservation metric, which we call denoised embedding manifold preservation (DEMaP), and show that PHATE produces lower-dimensional embeddings that are quantitatively better denoised as compared to existing visualization methods. An analysis of a newly generated single-cell RNA sequencing dataset on human germ-layer differentiation demonstrates how PHATE reveals unique biological insight into the main developmental branches, including identification of three previously undescribed subpopulations. We also show that PHATE is applicable to a wide variety of data types, including mass cytometry, single-cell RNA sequencing, Hi-C and gut microbiome data.
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Dimensionality reduction methods such as PHATE and Multiscale PHATE can learn abstract representations of biological and clinical data at different levels of granularity, and have been shown to predict clinical outcomes in people with COVID-19.
“Another approach is dimensionality reduction, including novel methods such as PHATE and Multiscale PHATE, which can learn abstract representations of biological and clinical data at different levels of granularity, and have been shown to predict clinical outcomes, for example, in people with coronavirus disease 2019 (COVID-19) 21,22 .”
From Multimodal biomedical AI (2022) · cites this paper as [21]
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Experimental — accuracy not yet measuredThe cellular transcriptomic state space can be modeled as a smooth, low-dimensional manifold or a set of manifolds.
“We begin by modeling the cellular transcriptomic state space as a smooth, low-dimensional manifold or set of manifolds.”
From Quantifying the effect of experimental perturbations at single-cell resolution (2021) · cites this paper as [3]
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The structure of the human cell cycle
Stallaert, W., Kedziora, K. M., Taylor, C. D., Zikry, T. M., Ranek, J. S., Sobon, H. K., Taylor, S. R., Young, C. L., Cook, J. G., & Purvis, J. E. (2021) · Cell Systems · doi:10.1016/j.cels.2021.10.007 · Cited by 66 · see citing works
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Cross-tissue multicellular coordination and its rewiring in cancer
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- Authors
- Moon, K. R., van Dijk, D., Wang, Z., Gigante, S., Burkhardt, D. B., Chen, W. S., Yim, K., Elzen, A. V. D., Hirn, M. J., Coifman, R. R., Ivanova, N. B., Wolf, G., & Krishnaswamy, S.
- Affiliations
- Utah State University (US)
- Qingdao University (CN)
- Yale University (US)
- Michigan State University (US)
- University of Georgia (US)
- Mila - Quebec Artificial Intelligence Institute (CA)
- Corresponding author
- Ivanova, Natalia B.
- Wolf, Guy
- Krishnaswamy, Smita
- ORCID
- Venue
- Nature Biotechnology
- Published
- 2019-12
- Volume
- 37
- Issue
- 12
- Pages
- 1482-1492
- ISSN
- 0733-222X (ISSN-L)
- 1087-0156
- 1546-1696
- PMC
- PMC7073148
- OpenAlex
- W2993894543
- Cited by
- 1,065
- References
- 79
- Citations by year
- 2026: 167 · 2025: 213 · 2024: 175 · 2023: 166 · 2022: 141 · 2021: 133 · 2020: 58 · 2019: 10 · 2018: 1 · 2013: 1
- FWCI
- 28.38
- Type
- journal article
- Language
- en
- Update notices
- correction (2020-01-02)
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Nature Biotechnology (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- Funders
- Gruber Foundation
- U.S. Department of Health & Human Services | NIH | Eunice Kennedy Shriver National Institute of Child Health and Human Development (F31HD097958)
- Alfred P. Sloan Foundation (FG-2016-6607)
- United States Department of Defense | Defense Advanced Research Projects Agency (D16AP00117)
- U.S. Department of Health & Human Services | National Institutes of Health (1R01HG008383, R01GM107092, R01GM130847)
- l’institut de valorisation des donnees
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Single-cell and spatial transcriptomics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Topological and Geometric Data Analysis
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Data Visualization and Analytics
- Keywords
- PHATE, high-dimensional data visualization, nonlinear structures, single-cell RNA sequencing, developmental trajectories, subpopulation identification, mass cytometry, Hi-C, gut microbiota, high-throughput biological data
- MeSH terms
- Gastrointestinal Microbiome, Big Data, Algorithms, Animals, Cell Differentiation, Cells, Cultured, Computer Simulation, Humans, Image Processing, Computer-Assisted, Sequence Analysis, RNA, Genomics, Databases, Genetic, Mice, High-Throughput Screening Assays, Single-Cell Analysis
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