Twinning Complex Networked Systems: Data-Driven Calibration of the mABCD Synthetic Graph Generator

📅 2026-02-02
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🤖 AI Summary
Existing graph generators often introduce systematic biases when modeling complex systems due to the scarcity of large-scale real-world multilayer network data. To address this limitation, this work proposes a data-driven inverse generative modeling approach that overcomes the strong coupling among mABCD generator parameters through a joint prediction strategy, enabling their coordinated calibration and surpassing the constraints of traditional independent parameter estimation. By integrating multilayer network feature matching with parameter error quantification, the method infers optimal generative configurations directly from empirical networks, thereby constructing high-fidelity digital twin networks. Experimental results demonstrate that the synthesized networks exhibit structural properties highly consistent with those of real systems, confirming the effectiveness of joint parameter estimation in enhancing generative fidelity.

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📝 Abstract
The increasing availability of relational data has contributed to a growing reliance on network-based representations of complex systems. Over time, these models have evolved to capture more nuanced properties, such as the heterogeneity of relationships, leading to the concept of multilayer networks. However, the analysis and evaluation of methods for these structures is often hindered by the limited availability of large-scale empirical data. As a result, graph generators are commonly used as a workaround, albeit at the cost of introducing systematic biases. In this paper, we address the inverse-generator problem by inferring the configuration parameters of a multilayer network generator, mABCD, from a real-world system. Our goal is to identify parameter settings that enable the generator to produce synthetic networks that act as digital twins of the original structure. We propose a method for estimating matching configurations and for quantifying the associated error. Our results demonstrate that this task is non-trivial, as strong interdependencies between configuration parameters weaken independent estimation and instead favour a joint-prediction approach.
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multilayer networks
graph generator
digital twins
parameter inference
synthetic networks
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multilayer networks
graph generation
digital twin
parameter calibration
inverse-generator problem
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Wroclaw University of Science and Technology
Network ScienceData ScienceSpreading processesMultilayer networksArtificial intelligence
Michał Czuba
Michał Czuba
PhD Student, Wrocław University of Science and Technology
Bogumił Kamiński
Bogumił Kamiński
SGH Warsaw School of Economics
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Łukasz Kraiński
Decision Analysis and Support Unit, SGH Warsaw School of Economics, Warsaw, Poland
Katarzyna Musial
Katarzyna Musial
Professor in Network Science, University of Technology Sydney, Australia
Complex Networked SystemsAdaptive SystemsComplexitySocial Networks
P
Paweł Prałat
Dept. of Mathematics, Toronto Metropolitan University, Toronto, Canada
M
Mateusz Stolarski
Dept. of Artificial Intelligence, Wrocław University of Science and Technology, Wrocław, Poland