Abstract
In this paper we present a systolic architecture for the VLSI digital implementation of Hopfield Networks of arbitrary size. This implementation is based on DBT transformed matrix-vector computations.
Preview
Unable to display preview. Download preview PDF.
References
ATLAS, L.E., and SUZUKI, Y., "Digital Systems for Artificial Neural Networks". IEEE Circuits and Devices Magazine, November (1989) 20–24.
BLAYO, F. and HURAT, P., "A VLSI systolic array dedicated to Hopfield neural network". In: VLSI for Artificial Intelligence. Kluwer Academic Publishers, (1989) 255–264.
CARD, H.C. and MOORE, W.R., "VLSI devices and circuits for neural networks". Int. J. of Neural Systems, Vol. 1, No. 2 (1989) 149–165.
CASTILLO, F.C. and CABESTANY, J., "A VLSI neural net architecture — a proposal". Proc. NEURONIMES 90, (1990) 515–523.
GRAF, H.P., JACKEL, L.D. and HUBBARD, W.E., "VLSI implementation of a neural network model". IEEE Computer, March (1988) 41–49.
GRAF, G., JACKEL, L. HOWARD, R. et al., "VLSI implementation of a neural network memory with several hundreds of neurons". Proc. Amer. Inst. Physics Conf., 151 (1986) 414–419.
HOPFIELD, J.J. and TANK, D.W., "Computing with neural circuits: a model". Science, Vol. 233, (1986) 625–633.
HOPFIELD, J.J., "Neurons with graded response have collective computational properties like those of two-state neurons". Proc. Natl. Acad. Sci., USA, Vol. 81, (1984) 3088–3092.
HOPFIELD, J.J., "Neural networks and physical systems with emergent collective computational abilities". Proc. Natl. Acad. Sci., USA, Vol. 79, (1982) 2554–2558.
JACKEL, L.D., GRAF, H.P. and HOWARD, R.E., "Electronic neural network chips". Applied Optics, Vol. 26, No. 23, (1987) 5077–5080.
KUNG, S.Y., "Parallel architectures for artificial neural nets". Proc. Int. Conf. on Systolic Arrays, San Diego (1988) 163–174.
McELIECE, R.J., POSNER, E.C., RODEMICH, E.R. and VENKATESH, S.S., "The capacity of the hopfield associative memory". IEEE Trans. Information Theory, Vol. 33, No. 4 (1987) 461–482.
NAVARRO, J.J., LLABERIA, J.M., VALERO, M., "Partitioning: An Essential Step in Mapping Algorithms into Systolic Array Processors". IEEE Computer. July 1987 77–89.
PERSONNAZ, L., GUYON, I. and DREYFUS, G., "Collective computational properties of neural networks: new learning mechanisms". Phys. Rev. A, Vol. 34 (1986) 4217–4228.
PERSONNAZ, L., JOHANNET, A. and DREYFUS, G., "Problems and trends in integrated neural networks". In: Connectionism in Perspective. Elsevier Science Publishers (North-Holland) (1989).
RÜCKERT, U. and GOSER, K., "VLSI-design of associative networks". In: VLSI for Artificial Intelligence. Kluwer Academic Publishers, (1989) 227–235.
RUMELHART, D.E., HINTON, G.F. and WILLIAMS, R.J., "Learning Representations by Back-Propagating Errors". Nature, Vol. 323, (1986) 533–536.
TANK, D.W. and HOPFIELD, J.J., "Simple neural optimization networks: and A/D converter, signal decision circuit, and a linear programming circuit". IEEE Trans. Circuits and Systems, Vol. 33, No. 5 (1986) 533–541.
THAKOOR, A.P., MOOPENN, A., LAMBE, J. and KHANNA, K., "Electronic hardware implementations of neural networks". Applied Optics, Vol. 26, No. 23, (1987) 5085–5092.
WEINFELD, M., "A fully digital integrated CMOS Hopfield network including the learning algorithm". In: VLSI for Artificial Intelligence. Kluwer Academic Publishers, (1989) 169–178.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Barro, S., Bugarín, A., Yáñez, A. (1991). Systolic implementation of hopfield networks of arbitrary size. In: Prieto, A. (eds) Artificial Neural Networks. IWANN 1991. Lecture Notes in Computer Science, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035903
Download citation
DOI: https://doi.org/10.1007/BFb0035903
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54537-8
Online ISBN: 978-3-540-38460-1
eBook Packages: Springer Book Archive