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Author

Paulo Tabuada

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#artificial intelligence Open access Oct 2026

Deep Learning From a Control Vantage Point: Feedforward, Residual, Transformers, Large Language Models, And Selective State-Space Models

This article provides a gentle introduction to recent advances in deep learning from a control theory perspective and discusses how control theory has recently been used to better understand and design deep neural networks.

Álvaro Rodríguez Abella, J. Silvestre, B. Gharesifard et al. · 0 citations
#machine learning Preprint Sep 2026

Preventing Model Collapse: A Fisher-Rao Perspective on the Dynamics of Training with Synthetic Data

It is shown that the effective required data ratio to prevent model collapse is different than previously implied, and quantitative contraction and invariance bounds that are stable and do not become trivial as the dimensions increase are derived.

Matteo Marchi, João Pedro Silvestre, Bahman Gharesifard et al. · 0 citations

The Attention Within: Consensus Dynamics in Selective State Space Models

It is shown that the resemblance between SSMs and transformers does run deeper: the recurrence at the core of SSMs aggregates tokens just as attention does, and the evolution of tokens across layers as an ordinary differential equation.

João Pedro Silvestre, Álvaro Rodríguez Abella, Paulo Tabuada · 1 citation

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