Physics informed WNO

N Navaneeth, T Tripura, S Chakraborty - Computer Methods in Applied …, 2024 - Elsevier
Deep neural operators are recognized as an effective tool for learning solution operators of
complex partial differential equations (PDEs). As compared to laborious analytical and …

Multi-fidelity wavelet neural operator with application to uncertainty quantification

A Thakur, T Tripura, S Chakraborty - arXiv preprint arXiv:2208.05606, 2022 - arxiv.org
Operator learning frameworks, because of their ability to learn nonlinear maps between two
infinite dimensional functional spaces and utilization of neural networks in doing so, have …

A foundational neural operator that continuously learns without forgetting

T Tripura, S Chakraborty - arXiv preprint arXiv:2310.18885, 2023 - arxiv.org
Machine learning has witnessed substantial growth, leading to the development of
advanced artificial intelligence models crafted to address a wide range of real-world …

SWENet: a physics-informed deep neural network (PINN) for shear wave elastography

Z Yin, GY Li, Z Zhang, Y Zheng… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Shear wave elastography (SWE) enables the measurement of elastic properties of soft
materials in a non-invasive manner and finds broad applications in various disciplines. The …

[HTML][HTML] A review of brain injury at multiple time scales and its clinicopathological correlation through in silico modeling

A Awasthi, S Bhaskar, S Panda, S Roy - Brain Multiphysics, 2024 - Elsevier
Understanding the correlation between pathological changes and the type of brain injury is
pivotal in mitigating the damage and planning reliable and improved treatment strategies …

Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data

J Rani, T Tripura, H Kodamana… - arXiv preprint arXiv …, 2024 - arxiv.org
Fault detection and isolation in complex systems are critical to ensure reliable and efficient
operation. However, traditional fault detection methods often struggle with issues such as …

Size lowerbounds for deep operator networks

A Mukherjee, A Roy - arXiv preprint arXiv:2308.06338, 2023 - arxiv.org
Deep Operator Networks are an increasingly popular paradigm for solving regression in
infinite dimensions and hence solve families of PDEs in one shot. In this work, we aim to …

Neuroscience inspired neural operator for partilial differential equations

S Garg, S Chakraborty - Journal of Computational Physics, 2024 - Elsevier
We propose, in this paper, a Variable Spiking Wavelet Neural Operator (VS-WNO), which
aims to bridge the gap between theoretical and practical implementation of Artificial …

[PDF][PDF] Toward Improved Accuracy in Quasi-Static Elastography Using Deep Learning.

Y Mei, J Deng, D Zhao, C Xiao, T Wang… - … in Engineering & …, 2024 - cdn.techscience.cn
Elastography is a non-invasive medical imaging technique to map the spatial variation of
elastic properties of soft tissues. The quality of reconstruction results in elastography is …

Neuroscience inspired scientific machine learning (Part-2): Variable spiking wavelet neural operator

S Garg, S Chakraborty - arXiv preprint arXiv:2311.14710, 2023 - arxiv.org
We propose, in this paper, a Variable Spiking Wavelet Neural Operator (VS-WNO), which
aims to bridge the gap between theoretical and practical implementation of Artificial …