@misc{17391, author = {Rohan Money and Joshin Krishnan and Baltasar Beferull-Lozano}, title = {Online Non-linear Topology Identification from Graph-connected Time Series}, abstract = {Estimating the unknown causal dependencies among graph-connected time series plays an important role in many applications, such as sensor network analysis, signal processing over cyber-physical systems, and financial engineering. Inference of such causal dependencies, often known as topology identification, is not well studied for non-linear non-stationary systems, and most of the existing methods are batch-based which are not capable of handling streaming sensor signals. In this paper, we propose an online kernel-based algorithm for topology estimation of non-linear vector autoregressive time series by solving a sparse online optimization framework using the composite objective mirror descent method. Experiments conducted on real and synthetic data sets show that the proposed algorithm outperforms the state-of-the-art methods for topology estimation.}, year = {2021}, journal = {2021 IEEE Data Science and Learning Workshop (DSLW)2021 IEEE Data Science and Learning Workshop (DSLW)}, month = {June/2021}, publisher = {IEEE}, address = {Toronto, ON, Canada}, url = {https://ieeexplore.ieee.org/document/9523399}, doi = {10.1109/DSLW51110.2021.9523399}, note = {This work was carried out at University of Agder with the funding from the IKTPLUSS INDURB grant 270730/O70 and the SFI Offshore Mechatronics grant 237896/O30 from the Research Council of Norway.}, }