On the number of spurious memories in the Hopfield model

The outer-product method for programming the Hopfield model is discussed. The method can result in many spurious stable states-exponential in the number of vectors that are to be stored-even in the case when the vectors are orthogonal. >

[1]  David E. Muller,et al.  Application of Boolean algebra to switching circuit design and to error detection , 1954, Trans. I R E Prof. Group Electron. Comput..

[2]  Robert J. Lechner.  HARMONIC ANALYSIS OF SWITCHING FUNCTIONS , 1971 .

[3]  F. Tanaka,et al.  Analytic theory of the ground state properties of a spin glass. II. XY spin glass , 1980 .

[4]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Eric Goles Ch.,et al.  Decreasing energy functions as a tool for studying threshold networks , 1985, Discret. Appl. Math..

[6]  R. McEliece,et al.  The number of stable points of an infinite-range spin glass memory , 1985 .

[7]  Yaser S. Abu-Mostafa,et al.  Information capacity of the Hopfield model , 1985, IEEE Trans. Inf. Theory.

[8]  Santosh S. Venkatesh,et al.  The capacity of the Hopfield associative memory , 1987, IEEE Trans. Inf. Theory.

[9]  Jehoshua Bruck,et al.  A study on neural networks , 1988, Int. J. Intell. Syst..

[10]  Joseph W. Goodman,et al.  A generalized convergence theorem for neural networks , 1988, IEEE Trans. Inf. Theory.

[11]  János Komlós,et al.  Effect of connectivity in associative memory models , 1988, [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science.

[12]  Mohamad A. Akra.  On the Analysis of The Hopfield Network: A Geometric Approach. , 1988 .

[13]  Jehoshua Bruck.  Computing with networks of threshold elements , 1989 .

[14]  Jehoshua Bruck,et al.  Harmonic Analysis of Polynomial Threshold Functions , 1990, SIAM J. Discret. Math..