5 papers
A Dynamical Theory of Sequential Retrieval in Input-Driven Hopfield Networks
Simone Betteti, Giacomo Baggio, Sandro Zampieri
Reasoning is the ability to integrate internal states and external inputs in a meaningful and semantically consistent flow. Contemporary machine learning (ML) systems increasingly…
Context-Selective State Space Models: Feedback is All You Need
Riccardo Zattra, Giacomo Baggio, Umberto Casti +2
Transformers, powered by the attention mechanism, are the backbone of most foundation models, yet they suffer from quadratic complexity and difficulties in dealing with long-range…
The Bayesian Separation Principle for Data-driven Control
Giacomo Baggio, Ruggero Carli, Riccardo Alessandro Grimaldi +1
In this paper we investigate the existence of a separation principle between model identification and control design in the context of model predictive control. First, we clarify t…
Obtaining Structural Network Controllability with Higher-Order Local Dynamics
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi
We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to…
Finding Conditions for Target Controllability under Christmas Trees
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi
This paper presents new graph-theoretic conditions for structural target controllability of directed networks. After reviewing existing conditions and highlighting some gaps in the…