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Stable Neural Population Dynamics in the Regression Subspace for Continuous and Categorical Task Parameters in
He Chen1, Jun Kunimatsu2,3, Tomomichi Oya4,5
1School of Psychological and Cognitive Sciences, Peking University, Beijing 100805, People's Republic of China.
This study links neural population dynamics and rate-coding models using regression subspace analysis. The findings reveal how task parameters shape neural modulation geometries, offering new tools for analyzing neural data.
Area of Science:
- Neuroscience
- Computational Neuroscience
- Systems Neuroscience
Background:
- Neural population dynamics offer a computational framework for brain function, representing activity as low-dimensional trajectories.
- Conventional rate-coding analysis, focusing on single-neuron firing rates, is poorly integrated with dynamic models.
- Bridging these models is crucial for a comprehensive understanding of neural information processing.
Purpose of the Study:
- To develop a method linking rate-coding and dynamic models of neural activity.
- To analyze how task parameters influence neural population dynamics.
- To explore the geometric representation of neural modulations in response to stimuli.
Main Methods:
- Developed a state-space analysis variant within the regression subspace.
- Applied the method to macaque monkey neural population datasets with continuous and categorical task parameters.
- Integrated optimal-stimulus response analysis with dynamic modeling.
Main Results:
- Neural modulation structures were reliably captured by task parameters in the regression subspace as low-dimensional trajectory geometries.
- Prominent modulation dynamics in the lower dimension originated from optimal responses.
- Extracted geometries for both continuous and categorical task parameters formed a straight geometry, indicating unidimensional functional relevance.
Conclusions:
- The developed approach successfully bridges neural modulation in rate-coding and dynamic systems.
- This method provides a significant advantage for exploring the temporal structure of neural modulations in existing datasets.
- The findings suggest that functional relevance in neural modulation dynamics can be characterized as a unidimensional feature.
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