Ordered Topological Deep Learning: a Network Modeling Case Study

Fuente: arXiv
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Autori principali: Bernárdez, Guillermo, Ferriol-Galmés, Miquel, Güemes-Palau, Carlos, Papillon, Mathilde, Barlet-Ros, Pere, Cabellos-Aparicio, Albert, Miolane, Nina
Natura: Preprint
Pubblicazione: 2025
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author Bernárdez, Guillermo
Ferriol-Galmés, Miquel
Güemes-Palau, Carlos
Papillon, Mathilde
Barlet-Ros, Pere
Cabellos-Aparicio, Albert
Miolane, Nina
author_facet Bernárdez, Guillermo
Ferriol-Galmés, Miquel
Güemes-Palau, Carlos
Papillon, Mathilde
Barlet-Ros, Pere
Cabellos-Aparicio, Albert
Miolane, Nina
contents Computer networks are the foundation of modern digital infrastructure, facilitating global communication and data exchange. As demand for reliable high-bandwidth connectivity grows, advanced network modeling techniques become increasingly essential to optimize performance and predict network behavior. Traditional modeling methods, such as packet-level simulators and queueing theory, have notable limitations --either being computationally expensive or relying on restrictive assumptions that reduce accuracy. In this context, the deep learning-based RouteNet family of models has recently redefined network modeling by showing an unprecedented cost-performance trade-off. In this work, we revisit RouteNet's sophisticated design and uncover its hidden connection to Topological Deep Learning (TDL), an emerging field that models higher-order interactions beyond standard graph-based methods. We demonstrate that, although originally formulated as a heterogeneous Graph Neural Network, RouteNet serves as the first instantiation of a new form of TDL. More specifically, this paper presents OrdGCCN, a novel TDL framework that introduces the notion of ordered neighbors in arbitrary discrete topological spaces, and shows that RouteNet's architecture can be naturally described as an ordered topological neural network. To the best of our knowledge, this marks the first successful real-world application of state-of-the-art TDL principles --which we confirm through extensive testbed experiments--, laying the foundation for the next generation of ordered TDL-driven applications.
format Preprint
id arxiv_https___arxiv_org_abs_2503_16746
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ordered Topological Deep Learning: a Network Modeling Case Study
Bernárdez, Guillermo
Ferriol-Galmés, Miquel
Güemes-Palau, Carlos
Papillon, Mathilde
Barlet-Ros, Pere
Cabellos-Aparicio, Albert
Miolane, Nina
Machine Learning
Networking and Internet Architecture
Computer networks are the foundation of modern digital infrastructure, facilitating global communication and data exchange. As demand for reliable high-bandwidth connectivity grows, advanced network modeling techniques become increasingly essential to optimize performance and predict network behavior. Traditional modeling methods, such as packet-level simulators and queueing theory, have notable limitations --either being computationally expensive or relying on restrictive assumptions that reduce accuracy. In this context, the deep learning-based RouteNet family of models has recently redefined network modeling by showing an unprecedented cost-performance trade-off. In this work, we revisit RouteNet's sophisticated design and uncover its hidden connection to Topological Deep Learning (TDL), an emerging field that models higher-order interactions beyond standard graph-based methods. We demonstrate that, although originally formulated as a heterogeneous Graph Neural Network, RouteNet serves as the first instantiation of a new form of TDL. More specifically, this paper presents OrdGCCN, a novel TDL framework that introduces the notion of ordered neighbors in arbitrary discrete topological spaces, and shows that RouteNet's architecture can be naturally described as an ordered topological neural network. To the best of our knowledge, this marks the first successful real-world application of state-of-the-art TDL principles --which we confirm through extensive testbed experiments--, laying the foundation for the next generation of ordered TDL-driven applications.
title Ordered Topological Deep Learning: a Network Modeling Case Study
topic Machine Learning
Networking and Internet Architecture
url https://arxiv.org/abs/2503.16746