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cs.LG2026

Message-Passing State-Space Models: Improving Graph Learning with Modern Sequence Modeling

Andrea Ceni, Alessio Gravina, Claudio Gallicchio +3

The recent success of State-Space Models (SSMs) in sequence modeling has motivated their adaptation to graph learning, giving rise to Graph State-Space Models (GSSMs). However, exi…

cs.LG2026

Improving Long-Range Interactions in Graph Neural Simulators via Hamiltonian Dynamics

Tai Hoang, Alessandro Trenta, Alessio Gravina +4

Learning to simulate complex physical systems from data has emerged as a promising way to overcome the limitations of traditional numerical solvers, which often require prohibitive…

cs.LG2025

Return of ChebNet: Understanding and Improving an Overlooked GNN on Long Range Tasks

Ali Hariri, Álvaro Arroyo, Alessio Gravina +6

ChebNet, one of the earliest spectral GNNs, has largely been overshadowed by Message Passing Neural Networks (MPNNs), which gained popularity for their simplicity and effectiveness…

cs.LG2025

On Oversquashing in Graph Neural Networks Through the Lens of Dynamical Systems

Alessio Gravina, Moshe Eliasof, Claudio Gallicchio +2

A common problem in Message-Passing Neural Networks is oversquashing -- the limited ability to facilitate effective information flow between distant nodes. Oversquashing is attribu…

cs.LG2025

Port-Hamiltonian Architectural Bias for Long-Range Propagation in Deep Graph Networks

Simon Heilig, Alessio Gravina, Alessandro Trenta +2

The dynamics of information diffusion within graphs is a critical open issue that heavily influences graph representation learning, especially when considering long-range propagati…

cs.LG2025

GRAMA: Adaptive Graph Autoregressive Moving Average Models

Moshe Eliasof, Alessio Gravina, Andrea Ceni +3

Graph State Space Models (SSMs) have recently been introduced to enhance Graph Neural Networks (GNNs) in modeling long-range interactions. Despite their success, existing methods e…