Dark soliton detection using persistent homology
- URL: http://arxiv.org/abs/2107.14594v2
- Date: Fri, 2 Sep 2022 05:01:51 GMT
- Title: Dark soliton detection using persistent homology
- Authors: Daniel Leykam, Irving Rondon, Dimitris G Angelakis
- Abstract summary: We show how a topological data analysis technique, persistent homology, can be used to rapidly and reliably identify qualitative features in experimental image data.
The identified features can be used as inputs to simple supervised machine learning models such as logistic regression models.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Classifying images often requires manual identification of qualitative
features. Machine learning approaches including convolutional neural networks
can achieve accuracy comparable to human classifiers, but require extensive
data and computational resources to train. We show how a topological data
analysis technique, persistent homology, can be used to rapidly and reliably
identify qualitative features in experimental image data. The identified
features can be used as inputs to simple supervised machine learning models
such as logistic regression models, which are easier to train. As an example we
consider the identification of dark solitons using a dataset of 6257 labelled
atomic Bose-Einstein condensate density images.
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