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Machine Learning for Complex Systems
Machine Learning (ML) is crucial for solving scientific and practical issues. Modern ML techniques like Recurrent Neural Networks (RNNs), Neural Ordinary Differential Equations (NODEs), and deep residual learning offer advantages for handling complex time series data.
Advancements in ML Techniques
RNNs and their variations, such as Gated Recurrent Units (GRU) and Long Short-Term Memory (LSTM) networks, show good predictive performance. Reservoir Computing (RC) has been developed to anticipate the temporal-spatial behaviors of chaotic dynamics.
Addressing Challenges with Parallel RC and Higher-Order Granger RC
Parallel RC (PRC) is a forecasting technique that takes advantage of the local structure of systems. Higher-Order Granger RC (HoGRC) framework is an iterative method that makes dynamic predictions and identifies higher-order interactions simultaneously.
Practical Applications of HoGRC
HoGRC has been analyzed in various systems, such as network dynamical systems, classical chaotic systems, and the UK power grid system, demonstrating its effectiveness and resilience. It infers higher-order structures at the node level, enabling precise system reconstructions and long-term dynamics forecasts.
Practical AI Solutions for Business
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Spotlight on AI Sales Bot
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