activity
20132026
most citedHidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

1.4k citations · 5.1k across the 32 of their papers we have counts for

collaborators

37 papers

cs.CE2026

CARS: a centerline-anchored attention surrogate for coronary blood flow on skeleton-generated lumen geometries

Reza Akbarian Bafghi, Sukirt Thakur, Maziar Raissi

When the parameter of a PDE surrogate is the flow domain itself, the key/value set of an attention model must encode that domain. We present CARS (Coronary Artery Rapid Surrogate),…

cs.CE2026

Are Learned Vascular Tree Generators Better Than Conditional Resampling?

Reza Akbarian Bafghi, Sukirt Thakur, Maziar Raissi

Fidelity scores compare generated vascular trees with held-out real trees, so by themselves they cannot detect reuse of training data. A training-free conditional resampler shows t…

math.OC2026

Online Optimization with Unknown Time-Varying Parameters Using Noisy Gradient Measurements

Shivanshu Tripathi, Fabio Pasqualetti, Maziar Raissi

We study online optimization problems in which the cost function depends on latent, time-varying parameters that are unmeasurable and governed by unknown dynamics. Specifically, we…

physics.bio-ph2026

Learning Parameterized Nonlinear Elasticity on Curved Surfaces

Yankang Liu, Ke Zhang, Maziar Raissi +1

We learn parameterized nonlinear elasticity on curved surfaces using a physics-informed neural network that enforces governing equations and boundary conditions directly through th…

physics.flu-dyn2025

ELPINN: Eulerian Lagrangian Physics-Informed Neural Network

Sukirt Thakur, Maziar Raissi

Physics-Informed Neural Networks (PINNs) have gained widespread popularity for solving inverse and forward problems across a range of scientific and engineering domains. However, m…

cs.LG2024★ 8 cited

Physics-Informed Neural Networks and Extensions

Maziar Raissi, Paris Perdikaris, Nazanin Ahmadi +1

In this paper, we review the new method Physics-Informed Neural Networks (PINNs) that has become the main pillar in scientific machine learning, we present recent practical extensi…

cs.LG2024★ 4 cited

Physics-Informed Machine Learning for Smart Additive Manufacturing

Rahul Sharma, Maziar Raissi, Y. B. Guo

Compared to physics-based computational manufacturing, data-driven models such as machine learning (ML) are alternative approaches to achieve smart manufacturing. However, the data…

cs.CV2024

MixDiff: Mixing Natural and Synthetic Images for Robust Self-Supervised Representations

Reza Akbarian Bafghi, Nidhin Harilal, Claire Monteleoni +1

This paper introduces MixDiff, a new self-supervised learning (SSL) pre-training framework that combines real and synthetic images. Unlike traditional SSL methods that predominantl…

cs.CE2024★ 1 cited

Deep LPPLS: Forecasting of temporal critical points in natural, engineering and financial systems

Joshua Nielsen, Didier Sornette, Maziar Raissi

The Log-Periodic Power Law Singularity (LPPLS) model offers a general framework for capturing dynamics and predicting transition points in diverse natural and social systems. In th…

cs.CE2023★ 5 cited

PINNs-TF2: Fast and User-Friendly Physics-Informed Neural Networks in TensorFlow V2

Reza Akbarian Bafghi, Maziar Raissi

Physics-informed neural networks (PINNs) have gained prominence for their capability to tackle supervised learning tasks that conform to physical laws, notably nonlinear partial di…

cs.LG2023★ 50 cited

A Survey on Physics Informed Reinforcement Learning: Review and Open Problems

Chayan Banerjee, Kien Nguyen, Clinton Fookes +1

The inclusion of physical information in machine learning frameworks has revolutionized many application areas. This involves enhancing the learning process by incorporating physic…

cs.LG2023★ 2 cited

Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics

R. Sharma, W. Grace Guo, M. Raissi +1

Melt pool dynamics in metal additive manufacturing (AM) is critical to process stability, microstructure formation, and final properties of the printed materials. Physics-based sim…

cs.CV2023★ 1 cited

Real Estate Property Valuation using Self-Supervised Vision Transformers

Mahdieh Yazdani, Maziar Raissi

The use of Artificial Intelligence (AI) in the real estate market has been growing in recent years. In this paper, we propose a new method for property valuation that utilizes self…

physics.flu-dyn2023

Temporal Consistency Loss for Physics-Informed Neural Networks

Sukirt Thakur, Maziar Raissi, Harsa Mitra +1

Physics-informed neural networks (PINNs) have been widely used to solve partial differential equations in a forward and inverse manner using deep neural networks. However, training…

cs.LG2023★ 7 cited

Open Problems in Applied Deep Learning

Maziar Raissi

This work formulates the machine learning mechanism as a bi-level optimization problem. The inner level optimization loop entails minimizing a properly chosen loss function evaluat…

cs.LG2022★ 48 cited

Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing

Salah A Faroughi, Nikhil Pawar, Celio Fernandes +4

Recent breakthroughs in computing power have made it feasible to use machine learning and deep learning to advance scientific computing in many fields, including fluid mechanics, s…

physics.flu-dyn2022★ 35 cited

ViscoelasticNet: A physics informed neural network framework for stress discovery and model selection

Sukirt Thakur, Maziar Raissi, Arezoo M. Ardekani

Viscoelastic fluids are a class of fluids that exhibit both viscous and elastic nature. Modelling such fluids requires constitutive equations for the stress, and choosing the most…

cs.LG2022★ 83 cited

Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next

Salvatore Cuomo, Vincenzo Schiano di Cola, Fabio Giampaolo +3

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itsel…

cs.LG2021★ 14 cited

Data-driven approaches for predicting spread of infectious diseases through DINNs: Disease Informed Neural Networks

Sagi Shaier, Maziar Raissi, Padmanabhan Seshaiyer

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach bu…

cs.LG2020★ 80 cited

A deep learning framework for solution and discovery in solid mechanics

Ehsan Haghighat, Maziar Raissi, Adrian Moure +2

We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporat…

physics.flu-dyn2018

Deep Learning of Turbulent Scalar Mixing

Maziar Raissi, Hessam Babaee, Peyman Givi

Based on recent developments in physics-informed deep learning and deep hidden physics models, we put forth a framework for discovering turbulence models from scattered and potenti…

physics.flu-dyn2018★ 403 cited

Deep Learning of Vortex Induced Vibrations

Maziar Raissi, Zhicheng Wang, Michael S. Triantafyllou +1

Vortex induced vibrations of bluff bodies occur when the vortex shedding frequency is close to the natural frequency of the structure. Of interest is the prediction of the lift and…

cs.CE2018★ 84 cited

Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data

Maziar Raissi, Alireza Yazdani, George Em Karniadakis

We present hidden fluid mechanics (HFM), a physics informed deep learning framework capable of encoding an important class of physical laws governing fluid motions, namely the Navi…

cs.LG2018

Machine Learning of Space-Fractional Differential Equations

Mamikon Gulian, Maziar Raissi, Paris Perdikaris +1

Data-driven discovery of "hidden physics" -- i.e., machine learning of differential equation models underlying observed data -- has recently been approached by embedding the discov…