A framework for analyzing single-cell genomics data, in which geometrical properties are harnessed to obtain insights on cellular diversity, including precise clustering, clear visualizations, and ...

In the earliest stages of life, mammalian embryos start as a disorganized cluster of cells. As development progresses, these cells become organized into well-defined shapes and structures. This ...

Information geometry, pioneered by Shun-ichi Amari, studies probability distributions as points on a smooth Riemannian manifold. The Fisher information matrix serves as the metric tensor, turning ...

Abstract: In this paper, by setting the recognition accuracy and the running time as selecting standards, and studying the performances of four activation functions, namely, standard rectified linear ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

Exponential growth compounds investment returns over time, enhancing long-term wealth. S&P 500's historic 10% annual return illustrates exponential growth's impact on investments. Staying invested in ...

I didn’t find math particularly exciting when I was in high school. To be honest, I only studied it when I went to university because it initially seemed quite easy to me. But in my very first math ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...