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Latent Structure Laboratory

Bacteria may not build cities or have interesting social lives, but they will be here when the Sun explodes.

-- Bill Bryson in A Short History of Nearly Everything

UW Madison Statistics Lightning Talks

Kris Sankaran | krisrs1128.github.io/LSLab | 16 September 2021

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Problem Solving in Multi-Omics

Our lab focuses on statistical methods for analyzing multi-omics, and especially microbiome, data:

  • We are motivated by interdisciplinary projects with microbiologists, ecologists, and psychologists
  • We synthesize and benchmark statistical approaches to solve data analysis problems within these collaborations

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Project 1: Multiscale Topic Alignment

  • We were motivated by a project about bacterial vaginosis
  • The literature collapses microbiomes into 5 “community state types,” but we noticed subtle transitions in participants with the disease
  • To addressed this, we developed meta-algorithms for visualizing ensembles of topic models trained across several scales

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Project 1: Multiscale Topic Alignment

  • We found that properties of the alignment graph are useful for count data analysis more generally
    • Can help quantify the degree of mixing across clusters
    • Can help highlight mutually exclusive species
  • We wrapped our algorithms in the R package alto

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Project 2: Meditation and the Microbiome

  • The Center for Healthy Minds at UW - Madison has had a long history of studying the effects of meditation on well-being
  • Motivated by increasing evidence of a gut-brain axis, they now also collect microbiome samples

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Project 2: Meditation and the Microbiome

  • We are supporting a longitudinal RCT that is gathering data from 3000 participants (for reference, my PhD thesis analyzed three subjects...)
  • We have adapted concepts from causal mediation analysis to relate sequencing with psychological survey data

An approach to microbiome mediation analysis designed by Xinran Miao and Hanying Jiang.

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Techniques

A few ideas recur throughout our research,

  • Generative models: These allow us to encode latent structure and integrate across data sources and scales
  • Data visualization: Good representations enable hypothesis generation, model criticism, and communication
  • Reusable software: We release our methods as accessible R packages

Visualizations and code by Zhuoyan Xu and Tinghui Xu in [2 - 4].

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Reaching Out

  • You can learn more at krisrs1128.github.io/LSLab.

  • I encourage you to reach out for any reason -- I'm always happy to talk about statistics.

  • Email: ksankaran@wisc.edu

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References

[1] Julia Fukuyama, Kris Sankaran, Laura Symul, Multiscale analysis of count data through topic alignment, Biostatistics, 2022;, kxac018, (https://doi.org/10.1093/biostatistics/kxac018)

[2] Kris Sankaran and Susan P. Holmes. Generative Models: An Interdisciplinary Perspective. To appear in Annual Review of Statistics and its Applications, 2022. (https://doi.org/10.48550/arXiv.2208.06011)

[3] Tinghui Xu and Kris Sankaran. Interactive visualization of spatial omics neighborhoods [version 1; peer review: awaiting peer review]. F1000Research, 2022, 11:799 (https://doi.org/10.12688/f1000research.122113.1)

[4] Zhuoyan Xu and Kris Sankaran. Spatial transcriptomics dimensionality reduction using wavelet bases [version 1; peer review: awaiting peer review]. F1000Research 2022, 11:1033 (https://doi.org/10.12688/f1000research.122775.1)

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Problem Solving in Multi-Omics

Our lab focuses on statistical methods for analyzing multi-omics, and especially microbiome, data:

  • We are motivated by interdisciplinary projects with microbiologists, ecologists, and psychologists
  • We synthesize and benchmark statistical approaches to solve data analysis problems within these collaborations

2 / 9
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