This study provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with non-linear projections from ...

Utilize AI for facial reconstruction, significantly aiding in solving cold cases. Countries like the USA and UK leverage AI to enhance crime-solving rates. AI-driven tools improved murder and violent ...

The Kibble-Zurek mechanism (KZM) captures the essential physics of nonequilibrium quantum phase transitions with symmetry breaking. KZM predicts a universal scaling power law for the defect density ...