A novel differentiable approach optimizes geometric waveguide coatings, achieving substantial gains in light efficiency and uniformity for optical AR displays.

"If you want to just be a lawyer, fine. But I think it's an excellent use of your talent to expand beyond legal if you're interested," said Laura Schumacher, former chief legal officer of AbbVie.

Abstract: We study stability and robustness for a large class of linear time-varying systems under the assumption that the system possesses some kind of excitation which is necessary for uniform ...

A clinical trial on the VIA Disc NP treatment for discogenic back pain has shown impressive results, significantly reducing pain and improving back function. The non-surgical, minimally invasive ...

Modern AI excels at pattern recognition but suffers when faced with logical reasoning tasks. What happens when we ask a neural network to solve a Sudoku puzzle from an image, verify a mathematical ...

This important study introduces a fully differentiable variant of the Gillespie algorithm as an approximate stochastic simulation scheme for complex chemical reaction networks, allowing kinetic ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

During the peer-review process the editor and reviewers write an eLife assessment that summarises the significance of the findings reported in the article (on a scale ranging from landmark to useful) ...

Natural neural systems have inspired innovations in machine learning and neuromorphic circuits designed for energy-efficient data processing. However, implementing the backpropagation algorithm, a ...