Mathematics Statistics

An international research team led by scientists from Osaka Metropolitan University has developed a method to identify symmetries in multi-dimensional data using Bayesian statistical techniques. Bayesian statistics has been in the spotlight in recent years due to improvements in computer performance and its potential applications in artificial intelligence. However, this statistical approach requires complex calculations of integrals, which are often considered approximations only. In their new study, the research team successfully derived new exact integral formulas. Their findings contribute to improving the accuracy of methods to identify data symmetries, possibly extending their applications to wider areas of interest, such as genetic analysis.

Researchers from The University of Tokyo Institute of Industrial Science develop an experimentally supported mathematical model that defines the velocity jump mechanism in crack propagation

A more accurate way of resolving spatial patterns in weather could lead to better predictions of climate change.