In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

(Nanowerk News) National University of Singapore (NUS) statisticians have introduced a new technique that accurately describes high-dimensional data using lower-dimensional smooth structures. This ...

A novel approach to analyzing single-cell RNA sequencing (scRNA-seq) data has been unveiled by researchers. This method promises to enhance both the precision and speed of data interpretation, ...

As topologists seek to classify shapes, the effort hinges on how to define a manifold and what it means for two of them to be equivalent. Sorting a collection of shapes is child’s play. Circles here, ...

Figure 1: Illustration of fitting the latent manifold using the Cycle Generative Adversarial Network (CycleGAN). CycleGAN is a deep learning technique for unsupervised image-to-image translation. In ...