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20232026
most citedFrom PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

14 citations · 16 across the 7 of their papers we have counts for

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6 papers · 1 filter

cs.LG2026

Multilevel Graph Wavelet Compressed Sensing with Scale-Aware Neural Recovery

Amirhossein Nouranizadeh, Sarang Rajendra Patil, Alan John Varghese +3

Scientific machine learning methods such as neural operators and physics-informed neural networks have advanced engineering applications and inverse problems, but their training ty…

cs.LG2025

Automatic selection of the best neural architecture for time series forecasting

Qianying Cao, Shanqing Liu, Alan John Varghese +3

Time series forecasting plays a pivotal role in a wide range of applications, including weather prediction, healthcare, structural health monitoring, predictive maintenance, energy…

cs.LG2024★ 1 cited

A Comparative Study on Dynamic Graph Embedding based on Mamba and Transformers

Ashish Parmanand Pandey, Alan John Varghese, Sarang Patil +1

Dynamic graph embedding has emerged as an important technique for modeling complex time-evolving networks across diverse domains. While transformer-based models have shown promise…

cs.LG2024★ 14 cited

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

Juan Diego Toscano, Vivek Oommen, Alan John Varghese +4

Physics-Informed Neural Networks (PINNs) have emerged as a key tool in Scientific Machine Learning since their introduction in 2017, enabling the efficient solution of ordinary and…

cs.LG2024

SympGNNs: Symplectic Graph Neural Networks for identifiying high-dimensional Hamiltonian systems and node classification

Alan John Varghese, Zhen Zhang, George Em Karniadakis

Existing neural network models to learn Hamiltonian systems, such as SympNets, although accurate in low-dimensions, struggle to learn the correct dynamics for high-dimensional many…

cs.LG2023

TransformerG2G: Adaptive time-stepping for learning temporal graph embeddings using transformers

Alan John Varghese, Aniruddha Bora, Mengjia Xu +1

Dynamic graph embedding has emerged as a very effective technique for addressing diverse temporal graph analytic tasks (i.e., link prediction, node classification, recommender syst…