DOI: 10.1016/j.neunet.2007.04.017. Edge of chaos and prediction of computational performance for neural circuit models

Edge of chaos and prediction of computational performance for neural circuit models

10.1016/j.neunet.2007.04.017

Crossref journal-article

Elsevier BV

Neural Networks (78)

Bibliography

Legenstein, R., & Maass, W. (2007). Edge of chaos and prediction of computational performance for neural circuit models. Neural Networks, 20(3), 323â334.

Authors 2

Robert Legenstein (first)
Wolfgang Maass (additional)

References 24 Referenced 358

10.1038/75797 / Nature Neuroscience / Stimulus dependence of two-state fluctuations of membrane potential in cat visual cortex by Anderson (2000)
{'key': '10.1016/j.neunet.2007.04.017_b2', 'series-title': 'The handbook of brain theory and neural networks', 'first-page': '1188', 'article-title': 'Vapnik–Chervonenkis dimension of neural nets', 'author': 'Bartlett', 'year': '2003'} / The handbook of brain theory and neural networks / Vapnik–Chervonenkis dimension of neural nets by Bartlett (2003)
10.1162/089976604323057443 / Neural Computation / Real-time computation at the edge of chaos in recurrent neural networks by Bertschinger (2004)
{'key': '10.1016/j.neunet.2007.04.017_b4', 'series-title': 'Learning from data', 'author': 'Cherkassky', 'year': '1998'} / Learning from data by Cherkassky (1998)
10.1088/0305-4470/20/11/009 / Journal of Physics A: Mathematical and General / Dynamical phase transition in non-symmetric spin glasses by Derrida (1987)
10.1038/nrn1198 / Nature Reviews Neuroscience / The high-conductance state of neocortical neurons in vivo by Destexhe (2003)
Häusler, S., & Maass, W. (2007). A statistical analysis of information processing properties of lamina-specific cortical microcircuit models. Cerebral Cortex (Epub ahead of print) (10.1093/cercor/bhj132)
{'key': '10.1016/j.neunet.2007.04.017_b8', 'series-title': 'Nonlinear time series analysis', 'author': 'Kantz', 'year': '1997'} / Nonlinear time series analysis by Kantz (1997)
{'key': '10.1016/j.neunet.2007.04.017_b9', 'series-title': 'The origins of order: Self-organization and selection in evolution', 'author': 'Kauffman', 'year': '1993'} / The origins of order: Self-organization and selection in evolution by Kauffman (1993)
10.1016/0167-2789(90)90064-V / Physica D / Computation at the edge of chaos by Langton (1990)
{'key': '10.1016/j.neunet.2007.04.017_b11', 'series-title': 'New directions in statistical signal processing: From systems to brain', 'first-page': '127', 'article-title': 'What makes a dynamical system computationally powerful?', 'author': 'Legenstein', 'year': '2007'} / New directions in statistical signal processing: From systems to brain / What makes a dynamical system computationally powerful? by Legenstein (2007)
{'key': '10.1016/j.neunet.2007.04.017_b12', 'first-page': '865', 'article-title': 'Methods for estimating the computational power and generalization capability of neural microcircuits', 'volume': 'Vol. 17', 'author': 'Maass', 'year': '2005'} / Methods for estimating the computational power and generalization capability of neural microcircuits by Maass (2005)
10.1016/j.jcss.2004.04.001 / Journal of Computer and System Sciences / On the computational power of recurrent circuits of spiking neurons by Maass (2004)
10.1162/089976602760407955 / Neural Computation / Real-time computing without stable states: A new framework for neural computation based on perturbations by Maass (2002)
10.1016/j.jphysparis.2005.09.020 / Journal of Physiology–Paris / Fading memory and kernel properties of generic cortical microcircuit models by Maass (2004)
10.1162/089976698300017359 / Neural Computation / On the effect of analog noise in discrete-time analog computations by Maass (1998)
{'key': '10.1016/j.neunet.2007.04.017_b17', 'first-page': '281', 'article-title': 'A precise characterization of the class of languages recognized by neural nets under gaussian and other common noise distributions', 'volume': 'Vol. 11', 'author': 'Maass', 'year': '1999'} / A precise characterization of the class of languages recognized by neural nets under gaussian and other common noise distributions by Maass (1999)
10.1073/pnas.95.9.5323 / Proceedings of the National Academy of Sciences / Differential signaling via the same axon of neocortical pyramidal neurons by Markram (1998)
10.1103/PhysRevE.72.051906 / Physical Review E / Signal buffering in random networks of spiking neurons: Microscopic versus macroscopic phenomena by Mayor (2005)
{'key': '10.1016/j.neunet.2007.04.017_b20', 'first-page': '89', 'article-title': 'Revisiting the edge of chaos: Evolving cellular automata to perform computations', 'volume': '7', 'author': 'Mitchell', 'year': '1993', 'journal-title': 'Complex Systems'} / Complex Systems / Revisiting the edge of chaos: Evolving cellular automata to perform computations by Mitchell (1993)
{'key': '10.1016/j.neunet.2007.04.017_b21', 'series-title': 'Dynamic patterns in complex systems', 'first-page': '293', 'article-title': 'Adaption towards the edge of chaos', 'author': 'Packard', 'year': '1988'} / Dynamic patterns in complex systems / Adaption towards the edge of chaos by Packard (1988)
10.1523/JNEUROSCI.23-32-10388.2003 / The Journal of Neuroscience / Barrages of synaptic activity control the gain and sensitivity of cortical neurons by Shu (2003)
10.1016/0304-3975(94)90178-3 / Theoretical Computer Science / Analog computation via neural networks by Siegelmann (1994)
{'key': '10.1016/j.neunet.2007.04.017_b24', 'series-title': 'Statistical learning theory', 'author': 'Vapnik', 'year': '1998'} / Statistical learning theory by Vapnik (1998)

Dates

Type	When
Created	18 years, 3 months ago (May 4, 2007, 11:24 a.m.)
Deposited	2 years, 3 months ago (May 11, 2023, 2:31 p.m.)
Indexed	1 day, 16 hours ago (Aug. 30, 2025, 12:40 p.m.)
Issued	18 years, 5 months ago (April 1, 2007)
Published	18 years, 5 months ago (April 1, 2007)
Published Print	18 years, 5 months ago (April 1, 2007)

Funders 0

None

BibTeX

@article{Legenstein_2007, title={Edge of chaos and prediction of computational performance for neural circuit models}, volume={20}, ISSN={0893-6080}, url={http://dx.doi.org/10.1016/j.neunet.2007.04.017}, DOI={10.1016/j.neunet.2007.04.017}, number={3}, journal={Neural Networks}, publisher={Elsevier BV}, author={Legenstein, Robert and Maass, Wolfgang}, year={2007}, month=apr, pages={323–334} }

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