5 papers
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…
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…
Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi
We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic ob…
Quantum model reduction for continuous-time quantum filters
Tommaso Grigoletto, Clément Pellegrini, Francesco Ticozzi
The use of quantum stochastic models is widespread in dynamical reduction, simulation of open systems, feedback control and adaptive estimation. In many applications only part of t…