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- HUN-REN Alfréd Rényi Institute of MathematicsHU42 papers
- Aalto UniversityFI34 papers
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6 papers · 1 filter
Neural Network-Assisted Refinement of Traditional Schemes for One-Dimensional Scalar Conservation Laws
Imre Fekete, Ferenc Izsák, Vendel P. Kupás
A clear link is established between conventional numerical methods and neural network approximations for solving one-dimensional scalar conservation laws. The focus is on the const…
Tolerance Proportionality and Computational Stability in Adaptive Parallel-in-Time Runge-Kutta Methods
Imre Fekete, Ferenc Izsák, Vendel P. Kupás +1
In this paper, we investigate how adaptive time-integration strategies can be effectively combined with parallel-in-time numerical methods for solving systems of ordinary different…
Hypergraphx-data: a repository for higher-order network data
Quintino Francesco Lotito, Lorenzo Betti, Berné Nortier +2
The availability of network datasets advances research in network science, machine learning and related fields by enabling empirical analyses and their reproducibility, algorithm d…
Higher-order adaptive behaviors outperform pairwise strategies in mitigating contagion dynamics
Marco Mancastroppa, Márton Karsai, Alain Barrat
When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of…
Adaptive behaviors neutralize bistable explosive transitions in higher-order contagion
Marco Mancastroppa, Márton Karsai, Alain Barrat
During contagion phenomena, individuals perceiving a risk of infection commonly adapt their behavior and reduce their exposure. The effects of such adaptive mechanisms have been st…
Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients
Leonardo Di Gaetano, Fernando A. N. Santos, Federico Battiston +6
Pathological hubs in the brain networks of epilepsy patients are hypothesized to drive seizure generation and propagation. In epilepsy-surgery patients, these hubs have traditional…