Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Can we reveal objects that are hidden in environments completely opaque to the human eye? With conventional imaging techniques, the answer is no: a dense cloud or layer of material blocks light so ...

The ConFIG method obtains the conflict-free direction by calculating the inverse of the loss-specific gradients matrix: $$\boldsymbol{g}_{ConFIG}=\left(\sum_{i=1}^{m ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

Abstract: The traditional matrix classifier does not perform well in dealing with the problems of limited information and low computational efficiency, especially in the multitask environment. For ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...

We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly ...

1 Shanghai Collaborative Innovation Center of Agri-Seeds/School of Agriculture and Biology, Shanghai Jiao Tong University, Shanghai, China 2 Department of Animal Breeding and Reproduction, College of ...

This is a preview. Log in through your library . Abstract There is increasing interest in the study of community detection for sparse networks. Here, we propose a new method for detecting communities ...