Abstract
The study of low-dimensional, noisy manifolds embedded in a higher dimensional space has been extremely useful in many applications, from the chemical analysis of multi-phase flows to simulations of galactic mergers. Building a probabilistic model of the manifolds has helped in describing their essential properties and how they vary in space. However, when the manifold is evolving through time, a joint spatio-temporal modelling is needed, in order to fully comprehend its nature. We propose a first-order Markovian process that propagates the spatial probabilistic model of a manifold at fixed time, to its adjacent temporal stages. The proposed methodology is demonstrated using a particle simulation of an interacting dwarf galaxy to describe the evolution of a cavity generated by a Supernova.
| Original language | English |
|---|---|
| Title of host publication | Intelligent Data Engineering and Automated Learning – IDEAL 2021 |
| Subtitle of host publication | 22nd International Conference, IDEAL 2021, Manchester, UK, November 25–27, 2021, Proceedings |
| Editors | Hujun Yin, David Camacho, Peter Tino, Richard Allmendinger, Antonio J. Tallón-Ballesteros, Ke Tang, Sung-Bae Cho, Paulo Novais, Susana Nascimento |
| Place of Publication | Cham |
| Publisher | Springer |
| Pages | 493–501 |
| Number of pages | 9 |
| Edition | 1 |
| ISBN (Electronic) | 9783030916084 |
| ISBN (Print) | 9783030916077 |
| DOIs | |
| Publication status | Published - 23 Nov 2021 |
| Event | The 22nd International Conference on Intelligent Data Engineering and Automated Learning (IDEAL) - Manchester, United Kingdom Duration: 25 Nov 2021 → 27 Nov 2021 Conference number: 22nd |
Publication series
| Name | Lecture Notes in Computer Science |
|---|---|
| Publisher | Springer |
| Volume | 13113 |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | The 22nd International Conference on Intelligent Data Engineering and Automated Learning (IDEAL) |
|---|---|
| Abbreviated title | IDEAL 2021 |
| Country/Territory | United Kingdom |
| City | Manchester |
| Period | 25/11/21 → 27/11/21 |
Keywords
- Manifold learning
- l1 and l2-regularization
- Temporal generative topographic mapping
- SPH simulation
- Superbubble
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