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Higher-order interactions, adaptivity, and phase transitions in a novel reservoir computing model
Anastasiia A Emelianova1, Oleg V Maslennikov1,2, Vladimir I Nekorkin1,2
1A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia.
This study introduces a novel reservoir neural network model inspired by brain neural ensembles, achieving effective "edge-of-chaos computations" for complex machine learning tasks. The model demonstrates that interelement couplings are key to output generation and exhibits a post-learning phase transition.
Area of Science:
- Computational Neuroscience
- Artificial Intelligence
- Complex Systems
Background:
- Reservoir neural networks (RNNs) are powerful tools for time-series processing.
- Brain neural ensembles exhibit complex dynamics, including adaptivity and higher-order interactions.
- The 'edge-of-chaos' regime is hypothesized to optimize information processing in neural systems.
Purpose of the Study:
- To propose a novel reservoir neural network model integrating brain ensemble properties.
- To investigate the role of adaptivity, higher-order interactions, and phase transitions in computation.
- To evaluate the model's performance on benchmark machine learning tasks.
Main Methods:
- Developed a reservoir neural network incorporating adaptivity and higher-order interactions.
- Introduced a phase transition mechanism enabling 'edge-of-chaos' computations.
- Tested the network on tasks including multidimensional periodic pattern reproduction and Lorenz attractor prediction.
Main Results:
- Interelement couplings were identified as the primary drivers for generating target outputs.
- The network successfully reproduced complex time-series data.
- A novel phase transition was observed post-learning, altering network dynamics.
Conclusions:
- The proposed reservoir neural network effectively leverages brain-inspired principles for computation.
- The findings highlight the importance of interelement couplings and phase transitions in neural computation.
- The model's ability to undergo a post-learning phase transition suggests enhanced adaptability and computational capacity.
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