Topologically-constrained latent variable models
Abstract
In dimensionality reduction approaches, the data are typically embedded in a Euclidean latent space. However for some data sets this is inappropriate. For example, in human motion data we expect latent spaces that are cylindrical or a toroidal, that are poorly captured with a Euclidean space. In this paper, we present a range of approaches for embedding data in a non-Euclidean latent space. Our focus is the Gaussian Process latent variable model. In the context of human motion modeling this allows us to (a) learn models with interpretable latent directions enabling, for example, style/content separation, and (b) generalise beyond the data set enabling us to learn transitions between motion styles even though such transitions are not present in the data.
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Spatio-temporal graphs are a popular general tool for representing high-level spatio-temporal structures.
“Spatio-temporal graphs (st-graphs) are a popular [39,37,4,11,32,65,22] general tool for representing such high-level spatio-temporal structures.”
From Structural-RNN: Deep Learning on Spatio-Temporal Graphs (2016) · cites this paper as [32]
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Wang, Y., & Dunson, D. B. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1506.03768 · Cited by 3 · see citing works
- Authors
- Urtasun, R., Fleet, D. J., Geiger, A., Popović, J., Darrell, T. J., & Lawrence, N. D.
- Affiliations
- MIT Computer Science and Artificial Intelligence Laboratory (US)
- University of Toronto (CA)
- Karlsruhe Institute of Technology (DE)
- University of Manchester (GB)
- Venue
- Proceedings of the 25th international conference on Machine learning - ICML '08
- Publisher
- ACM Press
- Published
- 2008
- Pages
- 1080-1087
- OpenAlex
- W2171461439
- Cited by
- 125
- References
- 12
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 4 · 2022: 3 · 2021: 6 · 2020: 8 · 2019: 7 · 2018: 7 · 2017: 8 · 2016: 3 · 2015: 8 · 2014: 7 · 2013: 13 · 2012: 11
- FWCI
- 8.90
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- International Conference on Machine Learning (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Gaussian Processes and Bayesian Inference
- Physical Sciences › Engineering › Control and Systems Engineering › Human Motion and Animation
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Keywords
- Gaussian process latent variable model, dimensionality reduction, human motion modeling
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