## Dynamic associative memories: invariant recall is generic |

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### Contents

PATTERN TRANSFORMATIONS | 33 |

DYNAMIC ASSOCIATIVE MEMORIES | 64 |

STABILITY OF RECALL | 101 |

Copyright | |

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### Common terms and phrases

abstract patterns Banach space Cauchy sequence chain rule change in form Chapter compact support continuous function continuous inner product converges coordinate transformations cos6 defined definition deformation dense subset described det(G(e differential equation dimensional dynamic associative memory dynamic method elements error potential example Figure given Gram matrix group of coordinate implies infinitesimal transformations input pattern integer invariance problem invariant recall invariant recognition problem inverse key pattern learned patterns learned sequence learned set linear combination linear self-associative memory linear subspace linearly independent locally asymptotically stable LSAM neighborhood norm normed vector space open and dense open set parameter space parameterized pattern g pattern in span pattern recognition pattern space pattern transformations perceptron plane r-parameter group rotations rubber sheet scratch copy Section smooth path solution span(L supp(f Theorem 2.2 time-varying topology transformation groups transformations on H transformed version translations unique variation property vector field vector space