Reservoir computing with a single time-delay autonomous Boolean node

被引:109
作者
Haynes, Nicholas D. [1 ]
Soriano, Miguel C. [2 ]
Rosin, David P. [1 ]
Fischer, Ingo [2 ]
Gauthier, Daniel J. [1 ]
机构
[1] Duke Univ, Dept Phys, Durham, NC 27708 USA
[2] IFISC CSIC UIB, Inst Fis Interdisciplinar & Sistemas Complejos, E-07122 Palma De Mallorca, Spain
来源
PHYSICAL REVIEW E | 2015年 / 91卷 / 02期
基金
美国国家科学基金会;
关键词
EQUATIONS; PERFORMANCE; CHAOS;
D O I
10.1103/PhysRevE.91.020801
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We demonstrate reservoir computing with a physical system using a single autonomous Boolean logic element with time-delay feedback. The system generates a chaotic transient with a window of consistency lasting between 30 and 300 ns, which we show is sufficient for reservoir computing. We then characterize the dependence of computational performance on system parameters to find the best operating point of the reservoir. When the best parameters are chosen, the reservoir is able to classify short input patterns with performance that decreases over time. In particular, we show that four distinct input patterns can be classified for 70 ns, even though the inputs are only provided to the reservoir for 7.5 ns.
引用
收藏
页数:5
相关论文
共 24 条
[1]   Information processing using a single dynamical node as complex system [J].
Appeltant, L. ;
Soriano, M. C. ;
Van der Sande, G. ;
Danckaert, J. ;
Massar, S. ;
Dambre, J. ;
Schrauwen, B. ;
Mirasso, C. R. ;
Fischer, I. .
NATURE COMMUNICATIONS, 2011, 2
[2]   Parallel photonic information processing at gigabyte per second data rates using transient states [J].
Brunner, Daniel ;
Soriano, Miguel C. ;
Mirasso, Claudio R. ;
Fischer, Ingo .
NATURE COMMUNICATIONS, 2013, 4
[3]   Connectivity, Dynamics, and Memory in Reservoir Computing with Binary and Analog Neurons [J].
Buesing, Lars ;
Schrauwen, Benjamin ;
Legenstein, Robert .
NEURAL COMPUTATION, 2010, 22 (05) :1272-1311
[4]   On the origin of chaos in autonomous Boolean networks [J].
Cavalcante, Hugo L. D. de S. ;
Gauthier, Daniel J. ;
Socolar, Joshua E. S. ;
Zhang, Rui .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 368 (1911) :495-513
[5]   BOOLEAN DIFFERENCE-EQUATIONS .1. FORMULATION AND DYNAMIC BEHAVIOR [J].
DEE, D ;
GHIL, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (01) :111-126
[6]   All-optical reservoir computer based on saturation of absorption [J].
Dejonckheere, Antoine ;
Duport, Francois ;
Smerieri, Anteo ;
Fang, Li ;
Oudar, Jean-Louis ;
Haelterman, Marc ;
Massar, Serge .
OPTICS EXPRESS, 2014, 22 (09) :10868-10881
[7]   BOOLEAN DELAY EQUATIONS .2. PERIODIC AND APERIODIC SOLUTIONS [J].
GHIL, M ;
MULLHAUPT, A .
JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (1-2) :125-173
[8]   Boolean delay equations: A simple way of looking at complex systems [J].
Ghil, Michael ;
Zaliapin, Ilya ;
Coluzzi, Barbara .
PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (23) :2967-2986
[9]  
Hammer B., 2009, P EUR S ART NEUR NET, P213
[10]  
Jaeger H., 2001, 148 GMD GERM NAT RES, V148, P13