Phys.org

Robust 'Huber mean' for geometric data protects against noise and outliers

In an era driven by complex data, scientists are increasingly encountering information that doesn't lie neatly on flat, Euclidean surfaces. From 3D medical scans to robot orientations and AI ...
Nature

Geometric Statistics on Manifolds and Positive Definite Matrices

Geometric statistics extends classical statistical methods to data that reside on curved spaces rather than flat Euclidean domains. At its core lies the notion of a manifold: a smooth, curved surface ...
Phys.org

Analysis finds geometric thinking may come from wandering, not a human-only math module

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars concluding that only humans possess the foundations of this understanding.
Princeton University

Uhlenbeck receives Abel Prize for geometric analysis

The Norwegian Academy of Science and Letters has awarded the Abel Prize for 2019 to Karen Uhlenbeck, a visiting senior research scholar in mathematics at Princeton, “for her pioneering achievements in ...
Queen Mary University of London

Professor John Moriarty and Dr Amaranta Membrillo Solis launch groundbreaking network on geometric methods

Headed by Professor John Moriarty and Dr Amaranta Membrillo Solis of Queen Mary’s School of Mathematical Sciences, along with collaborators from the University of Nottingham, UCL and École Normale ...
Nature

Analyzing the geometric dependence of thermoelastic Q-factor in micro hemispherical resonators via a data-augmented CNN-transformer model

Hemispherical resonator gyroscope (HRGs) are famous for their potential to achieve high-precision inertial navigation due to their exceptional mechanical quality factor and operational stability 1,2,3 ...