Nature

Human learning of noninvasive brain–computer interfaces via manifold geometry

Brain–computer interfaces (BCIs) promise to restore and enhance human capabilities. Yet, their adoption has been limited by slow and inconsistent learning across users. We show that BCI learning is ...
Phys.org

Manifolds in commonly used atomic fingerprints lead to failure in machine-learning four-body interactions

Atomic environment fingerprints, or structural descriptors, are used to describe the chemical environment around a reference atom. Encoding information such as bond-lengths to neighboring atoms or ...
Phys.org

A manifold fitting approach for high-dimensional data reduction beyond Euclidean space

Statisticians from the National University of Singapore (NUS) have introduced a new technique that accurately describes high-dimensional data using lower-dimensional smooth structures. This innovation ...
Nature

Cost function for low-dimensional manifold topology assessment

In the era of big data, numerous science and engineering disciplines use dimensionality reduction to obtain lower-dimensional representations of complex physical systems with many degrees of freedom 1 ...