• Publications
  • Influence
Neural networks and physical systems with emergent collective computational abilities.
  • J. Hopfield
  • Computer Science, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 April 1982
TLDR
A model of a system having a large number of simple equivalent components, based on aspects of neurobiology but readily adapted to integrated circuits, produces a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. Expand
Neural networks and physical systems with emergent collective computational abilities
TLDR
A model of a system having a large number of simple equivalent components, based on aspects of neurobiology but readily adapted to integrated circuits, produces a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. Expand
Neurons with graded response have collective computational properties like those of two-state neurons.
  • J. Hopfield
  • Computer Science, Mathematics
  • Proceedings of the National Academy of Sciences…
  • 1 May 1984
TLDR
A model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied and collective properties in very close correspondence with the earlier stochastic model based on McCulloch - Pitts neurons are studied. Expand
“Neural” computation of decisions in optimization problems
TLDR
Results of computer simulations of a network designed to solve a difficult but well-defined optimization problem-the Traveling-Salesman Problem-are presented and used to illustrate the computational power of the networks. Expand
From molecular to modular cell biology
TLDR
General principles that govern the structure and behaviour of modules may be discovered with help from synthetic sciences such as engineering and computer science, from stronger interactions between experiment and theory in cell biology, and from an appreciation of evolutionary constraints. Expand
Pattern recognition computation using action potential timing for stimulus representation
A computational model is described in which the sizes of variables are represented by the explicit times at which action potentials occur, rather than by the more usual 'firing rate' of neurons. TheExpand
Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
TLDR
It is described how several optimization problems can be rapidly solved by highly interconnected networks of simple analog processors, and it is shown that a network which solves linear programming Problems can be understood from the same concepts. Expand
Kinetic proofreading: a new mechanism for reducing errors in biosynthetic processes requiring high specificity.
  • J. Hopfield
  • Biology, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 October 1974
The specificity with which the genetic code is read in protein synthesis, and with which other highly specific biosynthetic reactions take place, can be increased above the level available from freeExpand
Neurons withgraded response havecollective computational properties likethoseoftwo-state neurons
A modelforalarge network of"neurons" withagraded response (orsigmoid input-output relation) is studied. Thisdeterministic system hascollective properties in veryclose correspondence withtheearlierExpand
Computing with neural circuits: a model.
TLDR
A new conceptual framework and a minimization principle together provide an understanding of computation in model neural circuits that represent an approximation to biological neurons in which a simplified set of important computational properties is retained. Expand
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