Variational Sampling of Temporal Trajectories

arXiv:2403.11418v1 Announce Type: new
Abstract: A deterministic temporal process can be determined by its trajectory, an element in the product space of (a) initial condition $z_0 \in \mathcal{Z}$ and (b) transition function $f: (\mathcal{Z}, \mathcal{T}) \to \mathcal{Z}$ often influenced by the control of the underlying dynamical system. Existing methods often model the transition function as a differential equation or as a recurrent neural network. Despite their effectiveness in predicting future measurements, few results have successfully established a method for sampling …

abstract arxiv control cs.ai cs.lg element function process product sampling space temporal trajectory transition type