Connectivity, dynamics, and memory in reservoir computing with binary and analog neurons

作者: Lars Büsing , Benjamin Schrauwen , Robert Legenstein

DOI: 10.1162/NECO.2009.01-09-947

关键词:

摘要: Reservoir computing (RC) systems are powerful models for online computations on input sequences. They consist of a memoryless readout neuron that is trained top randomly connected recurrent neural network. RC commonly used in two flavors: with analog or binary (spiking) neurons the circuits. Previous work indicated fundamental difference behavior these implementations idea. The performance an system built from seems to depend strongly network connectivity structure. In networks neurons, such clear dependency has not been observed. this letter, we address apparent dichotomy by investigating influence (parameterized in-degree) family interpolates between and networks. Our analyses based novel estimation Lyapunov exponent dynamics help branching process theory, rank measures estimate kernel quality generalization capabilities networks, mean field predictor computational performance. These reveal phase transition ordered chaotic circuits qualitatively differs one circuits, leading differences integration information over short long timescales. This explains decreased observed densely connected. also bound memory function neurons.

参考文章(53)
Michael F. Shlesinger, H. Haken, Arnold J. Mandell, J. A. Scott Kelso, Dynamic patterns in complex systems World Scientific. ,(1988)
Peter T. Hraber, James P. Crutchfield, Melanie Mitchell, Revisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computations Complex Systems. ,vol. 7, pp. 89- 130 ,(1993)
S.A. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets Journal of Theoretical Biology. ,vol. 22, pp. 437- 467 ,(1969) , 10.1016/0022-5193(69)90015-0
Kristof Vandoorne, Wouter Dierckx, Benjamin Schrauwen, David Verstraeten, Roel Baets, Peter Bienstman, Jan Van Campenhout, Toward optical signal processing using photonic reservoir computing. Optics Express. ,vol. 16, pp. 11182- 11192 ,(2008) , 10.1364/OE.16.011182
D. Verstraeten, B. Schrauwen, D. Stroobandt, J. Van Campenhout, Isolated word recognition with the liquid state machine : a case study Information Processing Letters. ,vol. 95, pp. 521- 528 ,(2005) , 10.1016/J.IPL.2005.05.019
Benjamin Schrauwen, Marion Wardermann, David Verstraeten, Jochen J. Steil, Dirk Stroobandt, Improving reservoirs using intrinsic plasticity Neurocomputing. ,vol. 71, pp. 1159- 1171 ,(2008) , 10.1016/J.NEUCOM.2007.12.020
B Derrida, D Stauffer, Phase Transitions in Two-Dimensional Kauffman Cellular Automata EPL. ,vol. 2, pp. 739- 745 ,(1986) , 10.1209/0295-5075/2/10/001
Stephen Wolfram, Universality and complexity in cellular automata Physica D: Nonlinear Phenomena. ,vol. 10, pp. 1- 35 ,(1984) , 10.1016/0167-2789(84)90245-8