FPGA implementations of scale-invariant models of neural networks
FPGA implementations of scale-invariant models of neural networks
Integrated circuit implementations of new models of neural networks with scale-invariant properties are presented. The specifics of such models are necessary in analysis of discrete mappings containing fractional power. We suggest an algorithm for increasing the power of a physical value by using a field-programmable gate array (FPGA). Comparisons between FPGA implementations and numerical results are demonstrated.
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- [1] Soleimani H, Ahmadi A, Bavandpour M. Biologically inspired spiking neurons: Piecewise linear models and digital implementation. IEEE T Circuits-I 2012; 59: 2991-3004.
- [2] Weinstein RK, Lee RH. Architectures for high-performance FPGA implementations of neural models. J Neural Eng 2006; 3: 21-34.
- [3] Thomas DB, Luk W. FPGA accelerated simulation of biologically plausible spiking neural networks. In: 17th IEEE Symposium on Field Programmable Custom Computing Machines; 57 April 2009; Napa, CA, USA. pp. 45-52.
- [4] Cheung K, Schultz SR, Luk W. A large-scale spiking neural network accelerator for FPGA systems. In: 22nd International Conference on Artificial Neural Networks; 1114 September 2012; Lausanne, Switzerland. pp. 113- 120.
- [5] Wildie M, Luk W, Schultz SR, Leong PH, Fidjeland AK. Reconfigurable acceleration of neural models with gap junctions. In: IEEE International Conference on Field-Programmable Technology; 911 December 2009; Sydney, Australia. pp. 439-442.
- [6] Baladron J, Fasoli D, Faugeras O, Touboul J. Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Journal of Mathematical Neuroscience 2012; 2: 10.
- [7] Storace M, Linaro D, de Lange E. The HindmarshRose neuron model: bifurcation analysis and piecewise-linear approximations. Chaos 2008; 18: 033128.
- [8] Zhanabaev ZZ, Kozhagulov YT. A generic model for scale-invariant neural networks. Journal of Neuroscience and Neuroengineering 2013; 2: 267-271.
- [9] Zhanabaev ZZ, GrevtsevaTY. Fractal properties of nanostructured semiconductors. Physica B 2007; 391: 12-17.
- [10] Zhanabaev ZZ, Grevtseva TY, Danegulova TB, Assanov GS. Optical processes in nanostructured semiconductors. J Comput Theor Nanos 2013; 10: 673-678.
- [11] Feder J. Fractals. New York, NY, USA: Plenum Press, 1988.
- [12] Izhikevich EM. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. Cambridge, MA, USA: MIT Press, 2010.