The analysis of a timeseries can provide many new perspectives if it is accompanied by the
assumption that the timeseries is generated from an underlying dynamical system. For …

The task of modeling and forecasting a dynamical system is one of the oldest problems, and
it remains challenging. Broadly, this task has two subtasks: extracting the full dynamical …

A dynamical system is a transformation of a phase space, and the transformation law is the
primary means of defining as well as identifying the dynamical system. It is the object of …

The separate tasks of denoising, least squares expectation, and manifold learning can often
be posed in a common setting of finding the conditional expectations arising from a product …

A dynamical system may be defined by a simple transition law-such as a map or a vector
field. The objective of most learning techniques is to reconstruct this dynamic transition law …

The separate tasks of denoising, conditional expectation and manifold learning can often be
posed in a common setting of finding the conditional expectations arising from a product of …