Abstract: Hodge theory provides a unifying view of the various line, surface, and volume integrals that appear in physics and engineering applications. Hodge theory on graphs develops discrete ...

Derek's love of games came at an early age when his parents first brought home the Nintendo Entertainment System. From then on, countless nights were spent hunting ducks, stomping turtles, exploring ...

Learn how to solve projectile motion equations using vectors in this step-by-step physics tutorial! This video explains how to break motion into components, calculate displacement and velocity, and ...

During development, cells make sequential decisions to change their state, eventually generating the tremendous cellular diversity in our body. To describe this process, Conrad Waddington proposed ...

Quantum Convolutional Neural Network (QCNN) has achieved significant success in solving various complex problems, such as quantum many-body physics and image recognition. In comparison to the ...

Microsoft Research conducts fundamental science and technology research across a spectrum of research areas. With labs around the globe we pursue breakthroughs across the computing and AI stack to ...

GCA-ROM requires pytorch, pyg, matplotlib, scipy and h5py. They can be easily installed via pip or conda. In the notebook folder, one can find the *.ipynb files ...

There are numerous algorithms and architectures that have emerged for the modeling of complex dynamic systems using deep learning (12). Indeed, many deep learning algorithms have shown ...

The BUQEYE collaboration (Bayesian Uncertainty Quantification: Errors in Your effective field theory) presents a pedagogical introduction to projection-based, reduced-order emulators for applications ...

Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, 201800, China Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of ...