NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships. Despite achieving ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the Earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

A pioneering study presents a multiscale differential-algebraic neural network (MDANN) that advances the field of dynamical system learning. This innovative method adeptly forecasts system behaviors ...

The Department of Mathematics and Statistics has experts working on a variety of aspects of dynamical systems, including infinite-dimensional dynamical systems and partial differential equations, ...

Dynamic systems pays attention to patterns of change over time. Source: Drawing by A. Danvers “Personal histories are processes of change in time, and the change itself is one of the things ...