Search Results for author: Lorenzo Giusti

Found 7 papers, 5 papers with code

Topological Neural Networks: Mitigating the Bottlenecks of Graph Neural Networks via Higher-Order Interactions

no code implementations10 Feb 2024 Lorenzo Giusti

This work starts with a theoretical framework to reveal the impact of network's width, depth, and graph topology on the over-squashing phenomena in message-passing neural networks.

Graph Attention Representation Learning

Generalized Simplicial Attention Neural Networks

1 code implementation5 Sep 2023 Claudio Battiloro, Lucia Testa, Lorenzo Giusti, Stefania Sardellitti, Paolo Di Lorenzo, Sergio Barbarossa

The aim of this work is to introduce Generalized Simplicial Attention Neural Networks (GSANs), i. e., novel neural architectures designed to process data defined on simplicial complexes using masked self-attentional layers.

Graph Classification Imputation +1

Neural Embeddings for Protein Graphs

no code implementations7 Jun 2023 Francesco Ceccarelli, Lorenzo Giusti, Sean B. Holden, Pietro Liò

Proteins perform much of the work in living organisms, and consequently the development of efficient computational methods for protein representation is essential for advancing large-scale biological research.

CIN++: Enhancing Topological Message Passing

1 code implementation6 Jun 2023 Lorenzo Giusti, Teodora Reu, Francesco Ceccarelli, Cristian Bodnar, Pietro Liò

Our message passing scheme accounts for the aforementioned limitations by letting the cells to receive also lower messages within each layer.

Graph Classification Graph Regression

On Over-Squashing in Message Passing Neural Networks: The Impact of Width, Depth, and Topology

1 code implementation6 Feb 2023 Francesco Di Giovanni, Lorenzo Giusti, Federico Barbero, Giulia Luise, Pietro Lio', Michael Bronstein

Our analysis provides a unified framework to study different recent methods introduced to cope with over-squashing and serves as a justification for a class of methods that fall under graph rewiring.

Inductive Bias

MaRF: Representing Mars as Neural Radiance Fields

1 code implementation3 Dec 2022 Lorenzo Giusti, Josue Garcia, Steven Cozine, Darrick Suen, Christina Nguyen, Ryan Alimo

The aim of this work is to introduce MaRF, a novel framework able to synthesize the Martian environment using several collections of images from rover cameras.

3D Reconstruction

Cell Attention Networks

1 code implementation16 Sep 2022 Lorenzo Giusti, Claudio Battiloro, Lucia Testa, Paolo Di Lorenzo, Stefania Sardellitti, Sergio Barbarossa

In this paper, we introduce Cell Attention Networks (CANs), a neural architecture operating on data defined over the vertices of a graph, representing the graph as the 1-skeleton of a cell complex introduced to capture higher order interactions.

Graph Attention Graph Classification +1

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