A Distributed Neural Network Architecture for Robust Non-Linear Spatio-Temporal Prediction
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Abstract (arXiv)
We introduce a distributed spatio-temporal artificial neural network architecture (DISTANA). It encodes mesh nodes using recurrent, neural prediction kernels (PKs), while neural transition kernels (TKs) transfer information between neighboring PKs, together modeling and predicting spatio-temporal time series dynamics. As a consequence, DISTANA assumes that generally applicable causes, which may be locally modified, generate the observed data. DISTANA learns in a parallel, spatially distributed manner, scales to large problem spaces, is capable of approximating complex dynamics, and is particularly robust to overfitting when compared to other competitive ANN models. Moreover, it is applicable to heterogeneously structured meshes.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 Dec 2019.
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Citing papers per year: 2021: 3; 2022: 0; 2023: 2; 2024: 1; 2025: 1.
7 papers.
- 2021Composing Partial Differential Equations with Physics-Aware Neural Networkscited by 21
- 2021Finite Volume Neural Network: Modeling Subsurface Contaminant Transportcited by 15
- 2021NeuralPDE: Modelling Dynamical Systems from Datacited by 9
- 2023DynaBench: A benchmark dataset for learning dynamical systems from low-resolution datacited by 8
- 2023TaylorPDENet: Learning PDEs from non-grid Datacited by 0
- 2024Inferring Underwater Topography with FINNcited by 0
- 2025Minimal Convolutional RNNs Accelerate Spatiotemporal Learningcited by 0
- 2025Minimal Convolutional RNNs Accelerate Spatiotemporal Learning5 Aug 2025
- 2024Inferring Underwater Topography with FINN20 Aug 2024
- 2023TaylorPDENet: Learning PDEs from non-grid Data26 Jun 2023
- 2023DynaBench: A benchmark dataset for learning dynamical systems from low-resolution data9 Jun 2023
- 2021Composing Partial Differential Equations with Physics-Aware Neural Networks23 Nov 2021
- 2021NeuralPDE: Modelling Dynamical Systems from Data15 Nov 2021
- 2021Finite Volume Neural Network: Modeling Subsurface Contaminant Transport13 Apr 2021