no code implementations • 14 Mar 2024 • Shaghayegh Z. Ashtiani, Mohammad Sarabian, Kaveh Laksari, Hessam Babaee
For instance, Transcranial Doppler ultrasound (TCD) is a noninvasive clinical tool that is commonly used in the clinical settings to measure blood velocity waveform at several locations on brain's vasculature.
1 code implementation • 23 Feb 2023 • Somdatta Goswami, Ameya D. Jagtap, Hessam Babaee, Bryan T. Susi, George Em Karniadakis
Specifically, to train the DeepONet for the syngas model, we solve the skeletal kinetic model for different initial conditions.
no code implementations • 25 Aug 2021 • Mohammad Sarabian, Hessam Babaee, Kaveh Laksari
Determining brain hemodynamics plays a critical role in the diagnosis and treatment of various cerebrovascular diseases.
no code implementations • 11 Jan 2021 • Donya Ramezanian, Arash G. Nouri, Hessam Babaee
In this paper, we present an on-the-fly reduced order modeling of reactive as well as passive transport equations to reduce the computational cost.
Dimensionality Reduction Computational Engineering, Finance, and Science
no code implementations • 19 Dec 2020 • Xuhui Meng, Hessam Babaee, George Em Karniadakis
We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential equations (PDEs).
no code implementations • 27 Apr 2020 • Patricio Arrue, Nima Toosizadeh, Hessam Babaee, Kaveh Laksari
In characterizing our existing data set of 537 head impacts, consisting of 6 degrees of freedom measurements, we found that only a few modes, e. g. 15 in the case of angular velocity, is sufficient for accurate reconstruction of the entire data set.