Dynamical Structure Function and Granger Causality: Similarities and differences
(2015) 54th IEEE Conference on Decision and Control, CDC 2015 p.889-894- Abstract
- Causal networks are essential in many applications to illustrate causal relations in dynamical systems. In a view of statistics, Granger Causality (GC) gives a definition for causal ordering of time series, which implies a parametric model for stationary processes. In a systematic view, Dynamical Structure Function (DSF) is proposed to provide a general parametric representation for linear causal networks based on state space representations. It is difficult to determine which definition should be adopted for a particular application. By introducing an intermediate form of DSF, this article connects GC for stationary processes with DSF. Both GC and DSF essentially represent the same notion of causality but with important differences with... (More)
- Causal networks are essential in many applications to illustrate causal relations in dynamical systems. In a view of statistics, Granger Causality (GC) gives a definition for causal ordering of time series, which implies a parametric model for stationary processes. In a systematic view, Dynamical Structure Function (DSF) is proposed to provide a general parametric representation for linear causal networks based on state space representations. It is difficult to determine which definition should be adopted for a particular application. By introducing an intermediate form of DSF, this article connects GC for stationary processes with DSF. Both GC and DSF essentially represent the same notion of causality but with important differences with respect to how they encode latent variables. This article also addresses the relations between graphs defined by GC and DSF. Furthermore, the uniqueness of parametric representations is addressed, which is essential in network inference. Results from different fields are surveyed and categorized into two categories - networks with exogeneity and networks without exogeneity. Limitations on sufficient conditions to guarantee exact identification are discussed under different assumptions on systems. In the end, a figure is used to summarize the relationships between various representations of causal dynamical networks and their identifiability conditions in LTI systems. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/890bd6f8-84f1-4dbc-bc25-148050e64757
- author
- Yue, Zuogong ; Thunberg, Johan LU ; Yuan, Ye and Goncalves, Jorge
- publishing date
- 2015-12
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2015 54th IEEE Conference on Decision and Control (CDC)
- pages
- 889 - 894
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 54th IEEE Conference on Decision and Control, CDC 2015
- conference location
- Osaka, Japan
- conference dates
- 2015-12-15 - 2015-12-18
- external identifiers
-
- scopus:84962030088
- ISBN
- 978-1-4799-7886-1
- DOI
- 10.1109/CDC.2015.7402341
- language
- English
- LU publication?
- no
- id
- 890bd6f8-84f1-4dbc-bc25-148050e64757
- date added to LUP
- 2024-09-05 14:37:19
- date last changed
- 2024-09-23 12:02:29
@inproceedings{890bd6f8-84f1-4dbc-bc25-148050e64757, abstract = {{Causal networks are essential in many applications to illustrate causal relations in dynamical systems. In a view of statistics, Granger Causality (GC) gives a definition for causal ordering of time series, which implies a parametric model for stationary processes. In a systematic view, Dynamical Structure Function (DSF) is proposed to provide a general parametric representation for linear causal networks based on state space representations. It is difficult to determine which definition should be adopted for a particular application. By introducing an intermediate form of DSF, this article connects GC for stationary processes with DSF. Both GC and DSF essentially represent the same notion of causality but with important differences with respect to how they encode latent variables. This article also addresses the relations between graphs defined by GC and DSF. Furthermore, the uniqueness of parametric representations is addressed, which is essential in network inference. Results from different fields are surveyed and categorized into two categories - networks with exogeneity and networks without exogeneity. Limitations on sufficient conditions to guarantee exact identification are discussed under different assumptions on systems. In the end, a figure is used to summarize the relationships between various representations of causal dynamical networks and their identifiability conditions in LTI systems.}}, author = {{Yue, Zuogong and Thunberg, Johan and Yuan, Ye and Goncalves, Jorge}}, booktitle = {{2015 54th IEEE Conference on Decision and Control (CDC)}}, isbn = {{978-1-4799-7886-1}}, language = {{eng}}, pages = {{889--894}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Dynamical Structure Function and Granger Causality: Similarities and differences}}, url = {{http://dx.doi.org/10.1109/CDC.2015.7402341}}, doi = {{10.1109/CDC.2015.7402341}}, year = {{2015}}, }