4 papers
Geometric SSM: LTI State Space Models for Selective Tasks
Umberto Casti, Giacomo Baggio, Sandro Zampieri +1
A key claim in recent work on Selective State Space Models is that selectivity, the ability to focus on relevant information while filtering irrelevant inputs, requires breaking th…
Controllable Neural Architectures for Multi-Task Control
Umberto Casti, Giacomo Baggio, Sandro Zampieri +1
This paper studies a multi-task control problem where multiple linear systems are to be regulated by a single non-linear controller. In particular, motivated by recent advances in…
Firing Rate Models as Associative Memory: Excitatory-Inhibitory Balance for Robust Retrieval
Simone Betteti, Giacomo Baggio, Francesco Bullo +1
Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic…
Input-Driven Dynamics for Robust Memory Retrieval in Hopfield Networks
Simone Betteti, Giacomo Baggio, Francesco Bullo +1
The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has…