Juan Diego Toscano

A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

Khemraj Shukla, Juan Diego Toscano, Zhicheng Wang et al. · Computer Methods in Applied Mechanics and Engineering · 2024 · 114 citations

Mathematical Programming, Spectral Theory, Engineering +9

Residual-based attention in physics-informed neural networks

Sokratis Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos et al. · Computer Methods in Applied Mechanics and Engineering · 2024 · 112 citations · Full text

Physic Aware Machine Learning, Computational Neuroscience, Neural Recoding +6

From PINNs to PIKANs: recent advances in physics-informed machine learning

Juan Diego Toscano, Vivek Oommen, Alan John Varghese et al. · Machine learning for computational science and engineering · 2025 · 103 citations

Artificial Intelligence, Engineering, Machine Learning +7

A Comprehensive and Fair Comparison between Mlp and Kan Representations for Differential Equations and Operator Networks

Khemraj Shukla, Juan Diego Toscano, Zhi‐Cheng Wang et al. · SSRN Electronic Journal · 2024 · 24 citations · Full text

Mathematical Programming, Spectral Theory, Engineering +9

AIVT: Inference of turbulent thermal convection from measured 3D velocity data by physics-informed Kolmogorov-Arnold networks

Juan Diego Toscano, Theo Käufer, Zhibo Wang et al. · Science Advances · 2025 · 17 citations · Full text