TY - GEN
T1 - Estimation of Directed Dependencies in Time Series Using Conditional Mutual Information and Non-linear Prediction
AU - Baboukani, Payam Shahsavari
AU - Graversen, Carina
AU - Østergaard, Jan
PY - 2021
Y1 - 2021
N2 - It is well-known that estimation of the directed dependency between high-dimensional data sequences suffers from the “curse of dimensionality” problem. To reduce the dimensionality of the data, and thereby improve the accuracy of the estimation, we propose a new progressive input variable selection technique. Specifically, in each iteration, the remaining input variables are ranked according to a weighted sum of the amount of new information provided by the variable and the variable's prediction accuracy. Then, the highest ranked variable is included, if it is significant enough to improve the accuracy of the prediction. A simulation study on synthetic nonlinear autoregressive and Henon maps data, shows a significant improvement over existing estimator, especially in the case of small amounts of high-dimensional and highly correlated data.
AB - It is well-known that estimation of the directed dependency between high-dimensional data sequences suffers from the “curse of dimensionality” problem. To reduce the dimensionality of the data, and thereby improve the accuracy of the estimation, we propose a new progressive input variable selection technique. Specifically, in each iteration, the remaining input variables are ranked according to a weighted sum of the amount of new information provided by the variable and the variable's prediction accuracy. Then, the highest ranked variable is included, if it is significant enough to improve the accuracy of the prediction. A simulation study on synthetic nonlinear autoregressive and Henon maps data, shows a significant improvement over existing estimator, especially in the case of small amounts of high-dimensional and highly correlated data.
KW - Conditional mutual information
KW - Directed dependency
KW - Input variable selection
KW - Non-linear prediction
UR - http://www.scopus.com/inward/record.url?scp=85099310719&partnerID=8YFLogxK
U2 - 10.23919/Eusipco47968.2020.9287592
DO - 10.23919/Eusipco47968.2020.9287592
M3 - Article in proceeding
SN - 978-1-7281-5001-7
T3 - European Signal Processing Conference (EUSIPCO)
SP - 2388
EP - 2392
BT - 2020 28th European Signal Processing Conference (EUSIPCO)
PB - IEEE
T2 - 2020 28th European Signal Processing Conference (EUSIPCO)
Y2 - 18 January 2021 through 21 January 2021
ER -