Neural networks and physical systems with emergent collective computational abilities.

Нейронные сети и физические системы с возникающими коллективными вычислительными способностями.
J. J. Hopfield
1982-04-01

asynchronous parallel processingcontent-addressable memoryemergent collective computationerror correctionfamiliarity recognition
Computational properties of use of biological organisms or to the construction of computers can emerge as collective properties of systems having a large number of simple equivalent components (or neurons). The physical meaning of content-addressable memory is described by an appropriate phase space flow of the state of a system. A model of such a system is given, based on aspects of neurobiology but readily adapted to integrated circuits. The collective properties of this model produce a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. The algorithm for the time evolution of the state of the system is based on asynchronous parallel processing. Additional emergent collective properties include some capacity for generalization, familiarity recognition, categorization, error correction, and time sequence retention. The collective properties are only weakly sensitive to details of the modeling or the failure of individual devices.
1
A system of many simple equivalent components can exhibit emergent collective computational properties useful for biological organisms and computers.
2
Collective properties of the model are robust and only weakly sensitive to modeling details or failures of individual components.
3
Content-addressable memory is realized as a phase space flow of system states, enabling retrieval of entire memories from sufficiently large partial inputs.
4
The model demonstrates emergent abilities including generalization, familiarity recognition, categorization, error correction, and time-sequence retention.
5
The proposed model, inspired by neurobiology and adaptable to integrated circuits, implements asynchronous parallel time evolution of system state.

A model neural network / physical system composed of many simple equivalent components (neurons) implementing collective computation and content-addressable memory

Emergent collective computational properties of the system, specifically content-addressable memory retrieval from partial cues, and related behaviors (generalization, familiarity recognition, categorization, error correction, time-sequence retention) under asynchronous parallel dynamics and robustness to component failure

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1982-04-01
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J. J. Hopfield
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