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Lower bounds on the restitution error in the Hopfield Model

✍ Scribed by Daria Loukianova


Publisher
Springer
Year
1997
Tongue
English
Weight
200 KB
Volume
107
Category
Article
ISSN
1432-2064

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A linear lower bound on the unbounded er
✍ JΓΌrgen Forster πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 187 KB

The main mathematical result of this paper may be stated as follows: Given a matrix MAfΓ€1; 1g nΓ‚n and any matrix MAR nΓ‚n such that signΓ° Mi;j Þ ΒΌ M i;j for all i; j; then rankΓ° MÞXn=jjMjj: Here jjMjj denotes the spectral norm of the matrix M: This implies a general lower bound on the complexity of