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Spatiotemporal Dynamics and Reliable Computations in Recurrent Spiking Neural Networks
Ryan Pyle1, Robert Rosenbaum1,2
1Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, USA.
Physical Review Letters
|January 21, 2017
Summary
Incorporating distance-dependent connections in spiking neural networks enhances computational reliability. Spatially extended networks generate complex patterns for reservoir computing tasks.
Area of Science:
- Computational neuroscience
- Neural network modeling
Background:
- Randomly connected spiking neural networks model neural variability but struggle with computational reliability.
- The inherent unreliability limits their application in complex computational tasks.
Purpose of the Study:
- To investigate if incorporating distance-dependent connection probabilities can improve the computational performance of spiking neural networks.
- To explore the potential of spatially extended networks for dynamical computations.
Main Methods:
- Modeling randomly connected networks of excitatory and inhibitory spiking neurons.
- Introducing connection probability dependence on the physical distance between neurons.
- Analyzing network behavior using concepts like symmetry-breaking bifurcations.
- Applying a reservoir computing framework for training and evaluating computational tasks.
Main Results:
- Spatially extended spiking networks with distance-dependent connections overcome the unreliability of random networks.
- These networks exhibit symmetry-breaking bifurcations, leading to the generation of rich spatiotemporal patterns.
- The generated patterns can be effectively trained to perform dynamical computations within a reservoir computing framework.
Conclusions:
- Distance-dependent connectivity is a crucial factor for enhancing the computational capabilities of spiking neural networks.
- Spatially organized neural networks offer a promising framework for robust and reliable dynamical computations.
- This approach bridges the gap between biologically plausible neural models and practical computational applications.
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