Juan Diego Toscano

According to our database, Juan Diego Toscano authored at least 13 papers between 2023 and 2026.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2026

Learning in PINNs: Phase transition, diffusion equilibrium, and generalization.

Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis

Neural Networks, 2026

2025

A Variational Framework for Residual-Based Adaptivity in Neural PDE Solvers and Operator Learning.

Juan Diego Toscano, Daniel T. Chen, Vivek Oommen, Jérôme Darbon, George Em Karniadakis

CoRR, September, 2025

Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness.

Lunji Song, Juan Diego Toscano, Li-Lian Wang

CoRR, August, 2025

Data and Code from "MR-AIV reveals in-vivo brain-wide fluid flow with physics-informed AI".

Kimberly Stevens Boster, Juan Diego Toscano, Douglas Kelley, Mohammad Vaezi, Yisen Guo, Zhibo Wang, Yuki Mori, George E. Karniadakis

Dataset, June, 2025

FMEnets: Flow, Material, and Energy networks for non-ideal plug flow reactor design.

Chenxi Wu, Juan Diego Toscano, Khemraj Shukla, Yingjie Chen, Ali Shahmohammadi, Edward Raymond, Thomas Toupy, Neda Nazemifard, Charles Papageorgiou, George Em Karniadakis

CoRR, May, 2025

Data from "Mapping and quantifying deep brain fluid flow in vivo with AI".

Kimberly Stevens Boster, Juan Diego Toscano, Douglas Kelley, Mohammad Vaezi, Yisen Guo, Zhibo Wang, Yuki Mori, George E. Karniadakis

Dataset, May, 2025

KKANs: Kurková-Kolmogorov-Arnold networks and their learning dynamics.

Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis

Neural Networks, 2025

2024

From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning.

Juan Diego Toscano, Vivek Oommen, Alan John Varghese, Zongren Zou, Nazanin Ahmadi Daryakenari, Chenxi Wu, George Em Karniadakis

CoRR, 2024

Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks.

Juan Diego Toscano, Theo Käufer, Zhibo Wang, Martin Maxey, Christian Cierpka, George Em Karniadakis

CoRR, 2024

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

Khemraj Shukla, Juan Diego Toscano, Zhicheng Wang, Zongren Zou, George Em Karniadakis

CoRR, 2024

Learning in PINNs: Phase transition, total diffusion, and generalization.

Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis

CoRR, 2024

2023

Teeth Mold Point Cloud Completion Via Data Augmentation and Hybrid RL-GAN.

Juan Diego Toscano, Christian Zuniga-Navarrete, Wilson David Jo Siu, Luis Javier Segura, Hongyue Sun

J. Comput. Inf. Sci. Eng., 2023

Residual-based attention and connection to information bottleneck theory in PINNs.

Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis

CoRR, 2023