A stochastic exponential modern Hopfield network trained on MNIST shows a critical noise region, around p from 0.23 to 0.3, where retrieval overlap drops and the overlap dynamics become strongly persistent, with critical noise decreasing as pattern load increases.
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Criticality of a Stochastic Dense Associative Memory Model with Exponential Interaction Function
A stochastic exponential modern Hopfield network trained on MNIST shows a critical noise region, around p from 0.23 to 0.3, where retrieval overlap drops and the overlap dynamics become strongly persistent, with critical noise decreasing as pattern load increases.