activity
20092026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations · 27.2k across the 213 of their papers we have counts for

collaborators

223 papers

physics.bio-ph2026

Quantifying the Biophysical Properties of Red Blood Cells in Gaucher Disease

Zhaojie Chai, Marine de Person, Pierre A. Buffet +2

Gaucher disease (GD), the most common lysosomal storage disorder, alters red blood cell (RBC) mechanics and circulation, contributing to vascular occlusions, bone infarcts, and spl…

math.NA2026

Deep Neural networks for solving high-dimensional parabolic partial differential equations

Wenzhong Zhang, Zheyuan Hu, Wei Cai +1

The numerical solution of high dimensional partial differential equations (PDEs) is severely constrained by the curse of dimensionality (CoD), rendering classical grid--based metho…

cs.AI2025

Toward Autonomous Engineering Design: A Knowledge-Guided Multi-Agent Framework

Varun Kumar, George Em Karniadakis

The engineering design process often demands expertise from multiple domains, leading to complex collaborations and iterative refinements. Traditional methods can be resource-inten…

cs.LG2025

Physics-Informed Machine Learning in Biomedical Science and Engineering

Nazanin Ahmadi, Qianying Cao, Jay D. Humphrey +1

Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws wit…

cs.LG2025

AMORE: Adaptive Multi-Output Operator Network for Stiff Chemical Kinetics

Kamaljyoti Nath, Additi Pandey, Bryan T. Susi +2

Time integration of stiff systems is a primary source of computational cost in combustion, hypersonics, and other reactive transport systems. This stiffness can introduce time scal…

physics.bio-ph2025

Clot Treatment via Compression- and Shear-Induced Densification of Fibrin Network Microstructure: A Combined in Vitro and In Silico Investigation

Yilong Changa, Guansheng Li, Jay Sim +2

Blood clots, consisting of red blood cells (RBCs) entrapped within a fibrin network, can cause life-threatening conditions such as stroke and heart attack. The recently developed m…