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Dynamical Learning
A Bridge between Dynamical Systems and Machine Learning: Engineered Ordinary Differential Equations as Classification Algorithm (EODECA)
EODECAs, merging machine learning with dynamical systems, enhance interpretability and transparency in neural networks. They employ continuous ordinary differential equations, offering both high classification accuracy and an understanding of data processes, addressing the opacity of traditional deep learning models. This approach signifies a step towards more comprehensible machine learning models.
Raffaele Marino
,
Lorenzo Giambagli
,
Lorenzo Chicchi
,
Lorenzo Buffoni
,
Duccio Fanelli
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Complex Recurrent Spectral Network
The Complex Recurrent Spectral Network (C-RSN) is a novel AI model that more accurately mimics biological neural processes using localized non-linearity, complex eigenvalues, and separated memory/input functionalities. It demonstrates dynamic, oscillatory behavior akin to biological cognition and effectively classifies data, as shown in tests with the MNIST dataset.
Lorenzo Chicchi
,
Lorenzo Giambagli
,
Lorenzo Buffoni
,
Raffaele Marino
,
Duccio Fanelli
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Recurrent Spectral Network (RSN): Shaping a discrete map to reach automated classification
The Recurrent Spectral Network (RSN) is a new automated classification method that uses dynamical systems to direct data to specific targets, demonstrating effectiveness with both a simple model and a standard image processing dataset.
Lorenzo Chicchi
,
Duccio Fanelli
,
Lorenzo Giambagli
,
Lorenzo Buffoni
,
Timoteo Carletti
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