Theory of spike timing-based neural classifiers

Physical Review Letters

Volumn 105, Issue 21, 2010, Pages

  Rubin, Ran ^a,b   Monasson, Rémi ^b,c   Sompolinsky, Haim ^a,d  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b CNRS   (France)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

^d HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSIFICATION TASKS; COMPUTATIONAL CAPACITY; EXTREME VALUE THEORY; LARGE SIZES; NEURAL CLASSIFIERS; PERCEPTRON; SMALL CLUSTERS; SPIKE TIMING; THRESHOLD OPERATION; TIME CONSTANTS; WEIGHT VECTOR;

STATISTICAL MECHANICS;

VECTOR SPACES;

EID: 78649244824     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.218102     Document Type: Article

References (13)

1. M. Minsky and S. Papert, Perceptrons: Expanded Edition (MIT Press, Cambridge, MA, 1988).
2. E. Gardner, Europhys. Lett. 4, 481 (1987). EULEEJ 0295-5075 10.1209/0295-5075/4/4/016
3. R. Johansson and I. Birznieks, Nat. Neurosci. NANEFN 1097-6256 7, 170 (2004). 10.1038/nn1177
4. T. Gollisch and M. Meister, Science 319, 1108 (2008). SCIEAS 0036-8075 10.1126/science.1149639
5. R. Gütig and H. Sompolinsky, Nat. Neurosci. NANEFN 1097-6256 9, 420 (2006). 10.1038/nn1643
6. A. Engel and C. Broeck, Statistical Mechanics of Learning (Cambridge University Press, Cambridge, England, 2001).
7. R. Monasson, in Complex Systems, Les Houches, edited by, J.-P. Bouchaud,,, M. Mezard,, and, J. Dalibard, (Elsevier, New York, 2007), Vol.85, pp. 1-65.
8. M. Mezard and A. Montanari, Information, Physics, and Computation (Oxford University Press, New York, 2009).
9. E. Barkai, D. Hansel, and H. Sompolinsky, Phys. Rev. A 45, 4146 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.4146
10. M. Leadbetter, G. Lindgren, and H. Rootzén, Extremes and Related Properties of Random Sequences and Processes (Springer, New York, 1983).
11. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.105.218102 for further details on extreme value theory and on the simulations of the Hodgkin-Huxley model of Fig..
12. R. Monasson and D. O'Kane, Europhys. Lett. 27, 85 (1994). EULEEJ 0295-5075 10.1209/0295-5075/27/2/002
13. P. Bressloff and J. Taylor, J. Phys. A 25, 4373 (1992). JPHAC5 0305-4470 10.1088/0305-4470/25/16/014