no code implementations • 5 Sep 2023 • Mishfad Shaikh Veedu, James Melbourne, Murti V. Salapaka
We demonstrate that the computational complexity of recovering the causation structure for the vector auto-regressive (VAR) model is $O(Tn^3N^2)$, where $n$ is the number of nodes, $T$ is the number of samples, and $N$ is the largest time-lag in the dependency between entities.
1 code implementation • 31 Aug 2023 • Mishfad Shaikh Veedu, Deepjyoti Deka, Murti V. Salapaka
In this article, the optimal sample complexity of learning the underlying interactions or dependencies of a Linear Dynamical System (LDS) over a Directed Acyclic Graph (DAG) is studied.
no code implementations • 8 Dec 2020 • Mishfad Shaikh Veedu, Murti V. Salapaka
It is shown, under the assumption that the correlations are affine in nature, such network of nodal interactions is equivalent to a network with added agents, represented by nodes that are latent, where no corresponding time-series measurements are available; however, here all exogenous excitements are spatially (that is, across agents) uncorrelated.