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Tensor analysis of animal behavior by matricization and feature selection.
Beichen Wang1, Jiazhang Cai2, Luyang Fang2
1Department of Biological Sciences, Purdue University, West Lafayette, IN, United States of America.
Computers in Biology and Medicine
|September 19, 2025
Summary
Analyzing multi-dimensional tensor (MDT) behavioral data requires transforming it into 2-dimensional tensors (2DT) using matricization and feature selection. Feature Concatenation with embedded methods best improved multivariate analysis for zebrafish behavior.
Area of Science:
- Neuroscience
- Data Science
- Bioinformatics
Background:
- Neurobehavioral research generates complex multi-dimensional tensor (MDT) data.
- Analyzing MDT data is crucial for understanding neural circuitries but poses interpretation challenges.
- Standard multivariate analysis tools are designed for 2-dimensional tensor (2DT) data.
Purpose of the Study:
- To investigate the impact of different matricization and feature selection methods on multivariate analysis of MDT neurobehavioral data.
- To optimize the transformation of MDT data into 2DT for enhanced analysis.
- To identify robust methods for distinguishing behavioral phenotypes using transformed data.
Main Methods:
- Applied various matricization techniques (Index Construction, Feature Concatenation) to MDT data.
- Employed filter and embedded feature selection methods to identify informative 2DT features.
- Utilized cross-validation and holdout validation with multiple classifiers to assess performance on zebrafish visual-motor response data.
Main Results:
- Feature Concatenation combined with embedded feature selection or union operations yielded optimal performance for classifiers.
- The optimized approach revealed unique behavioral differences between wildtype and visually-impaired mutant zebrafish.
- These subtle differences were not discernible through standard MDT or multivariate analysis alone.
Conclusions:
- Matricization and feature selection are effective strategies for analyzing complex MDT neurobehavioral data.
- The Feature Concatenation method with embedded feature selection offers a powerful approach for enhancing multivariate analysis.
- This methodology provides novel insights into behavioral phenotypes and their underlying neural mechanisms.

