Juan Diego Toscano

13 papers Journal 13
YearRankTypeTitle / Venue / Authors
2026 J jnl
Learning in PINNs: Phase transition, diffusion equilibrium, and generalization.
Neural Networks
Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis
2025 J jnl
A Variational Framework for Residual-Based Adaptivity in Neural PDE Solvers and Operator Learning.
CoRR
Juan Diego Toscano, Daniel T. Chen, Vivek Oommen, Jérôme Darbon, George Em Karniadakis
2025 J jnl
ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms.
CoRR
Juan Diego Toscano, Daniel T. Chen, George Em Karniadakis
2025 J jnl
Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness.
CoRR
Lunji Song, Juan Diego Toscano, Li-Lian Wang
2025 J jnl
FMEnets: Flow, Material, and Energy networks for non-ideal plug flow reactor design.
CoRR
Chenxi Wu, Juan Diego Toscano, Khemraj Shukla, Yingjie Chen, Ali Shahmohammadi, Edward Raymond, Thomas Toupy, Neda Nazemifard, Charles Papageorgiou, George Em Karniadakis
2025 J jnl
KKANs: Kurková-Kolmogorov-Arnold networks and their learning dynamics.
Neural Networks
Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis
2024 J jnl
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks.
CoRR
Khemraj Shukla, Juan Diego Toscano, Zhicheng Wang, Zongren Zou, George Em Karniadakis
2024 J jnl
From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning.
CoRR
Juan Diego Toscano, Vivek Oommen, Alan John Varghese, Zongren Zou, Nazanin Ahmadi Daryakenari, Chenxi Wu, George Em Karniadakis
2024 J jnl
Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks.
CoRR
Juan Diego Toscano, Theo Käufer, Zhibo Wang, Martin Maxey, Christian Cierpka, George Em Karniadakis
2024 J jnl
KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics.
CoRR
Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis
2024 J jnl
Learning in PINNs: Phase transition, total diffusion, and generalization.
CoRR
Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis
2023 J jnl
Residual-based attention and connection to information bottleneck theory in PINNs.
CoRR
Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis
2023 J jnl
Teeth Mold Point Cloud Completion Via Data Augmentation and Hybrid RL-GAN.
J. Comput. Inf. Sci. Eng.
Juan Diego Toscano, Christian Zuniga-Navarrete, Wilson David Jo Siu, Luis Javier Segura, Hongyue Sun