Information processing capacity of dynamical systems
(2012) SCIENTIFIC REPORTS. 2. p.1-7- abstract
- Many dynamical systems, both natural and artificial, are stimulated by time dependent external signals, somehow processing the information contained therein. We demonstrate how to quantify the different modes in which information can be processed by such systems and combine them to define the computational capacity of a dynamical system. This is bounded by the number of linearly independent state variables of the dynamical system, equaling it if the system obeys the fading memory condition. It can be interpreted as the total number of linearly independent functions of its stimuli the system can compute. Our theory combines concepts from machine learning (reservoir computing), system modeling, stochastic processes, and functional analysis. We illustrate our theory by numerical simulations for the logistic map, a recurrent neural network, and a two-dimensional reaction diffusion system, uncovering universal trade-offs between the non-linearity of the computation and the system’s short-term memory.
Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-2972574
- author
- Joni Dambre UGent, David Verstraeten UGent, Benjamin Schrauwen and Serge Massar
- organization
- year
- 2012
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- MEMORY, NETWORKS, PATTERNS, COMPUTATION
- journal title
- SCIENTIFIC REPORTS
- Sci Rep
- volume
- 2
- article number
- 514
- pages
- 1 - 7
- Web of Science type
- Article
- Web of Science id
- 000306708000001
- JCR category
- MULTIDISCIPLINARY SCIENCES
- JCR impact factor
- 2.927 (2012)
- JCR rank
- 8/56 (2012)
- JCR quartile
- 1 (2012)
- ISSN
- 2045-2322
- DOI
- 10.1038/srep00514
- project
- IAP, P7-35 photonics@be: Towards smart photonics in 2020
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
- I have transferred the copyright for this publication to the publisher
- id
- 2972574
- handle
- http://hdl.handle.net/1854/LU-2972574
- date created
- 2012-08-16 16:18:30
- date last changed
- 2016-12-21 15:42:23
@article{2972574, abstract = {Many dynamical systems, both natural and artificial, are stimulated by time dependent external signals, somehow processing the information contained therein. We demonstrate how to quantify the different modes in which information can be processed by such systems and combine them to define the computational capacity of a dynamical system. This is bounded by the number of linearly independent state variables of the dynamical system, equaling it if the system obeys the fading memory condition. It can be interpreted as the total number of linearly independent functions of its stimuli the system can compute. Our theory combines concepts from machine learning (reservoir computing), system modeling, stochastic processes, and functional analysis. We illustrate our theory by numerical simulations for the logistic map, a recurrent neural network, and a two-dimensional reaction diffusion system, uncovering universal trade-offs between the non-linearity of the computation and the system{\textquoteright}s short-term memory.}, articleno = {514}, author = {Dambre, Joni and Verstraeten, David and Schrauwen, Benjamin and Massar, Serge}, issn = {2045-2322}, journal = {SCIENTIFIC REPORTS}, keyword = {MEMORY,NETWORKS,PATTERNS,COMPUTATION}, language = {eng}, pages = {514:1--514:7}, title = {Information processing capacity of dynamical systems}, url = {http://dx.doi.org/10.1038/srep00514}, volume = {2}, year = {2012}, }
- Chicago
- Dambre, Joni, David Verstraeten, Benjamin Schrauwen, and Serge Massar. 2012. “Information Processing Capacity of Dynamical Systems.” Scientific Reports 2: 1–7.
- APA
- Dambre, J., Verstraeten, D., Schrauwen, B., & Massar, S. (2012). Information processing capacity of dynamical systems. SCIENTIFIC REPORTS, 2, 1–7.
- Vancouver
- 1.Dambre J, Verstraeten D, Schrauwen B, Massar S. Information processing capacity of dynamical systems. SCIENTIFIC REPORTS. 2012;2:1–7.
- MLA
- Dambre, Joni, David Verstraeten, Benjamin Schrauwen, et al. “Information Processing Capacity of Dynamical Systems.” SCIENTIFIC REPORTS 2 (2012): 1–7. Print.