Search Results

Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs

1 code implementation30 Nov 2020

We use the projection basis vectors in the active subspace as well as the principal output subspace to construct the weights for the first and last layers of the neural network, respectively.

Experimental Design Uncertainty Quantification

Challenges of Linking Organizational Information in Open Government Data to Knowledge Graphs

1 code implementation14 Aug 2020

Open Government Data (OGD) is being published by various public administration organizations around the globe.

Knowledge Graphs

Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

23 code implementations28 Nov 2017

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations.

Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

29 code implementations28 Nov 2017

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations.

Physics-Informed Neural Network for Modelling the Thermochemical Curing Process of Composite-Tool Systems During Manufacture

1 code implementation27 Nov 2020

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave.

Transfer Learning

Y Chromosome of Aisin Gioro, the Imperial House of Qing Dynasty

3 code implementations19 Dec 2014

We therefore conclude that this haplotype is the Y chromosome of the House of Aisin Gioro.

Populations and Evolution

Reliable extrapolation of deep neural operators informed by physics or sparse observations

1 code implementation13 Dec 2022

Deep neural operators can learn nonlinear mappings between infinite-dimensional function spaces via deep neural networks.

Catala: A Programming Language for the Law

1 code implementation4 Mar 2021

Law at large underpins modern society, codifying and governing many aspects of citizens' daily lives.

Programming Languages

Universal Differential Equations for Scientific Machine Learning

7 code implementations13 Jan 2020

In the context of science, the well-known adage "a picture is worth a thousand words" might well be "a model is worth a thousand datasets."

BIG-bench Machine Learning

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

1 code implementation13 Aug 2018

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 Navier-Stokes equations.