Hopfield networks can function with continuous activation variables and discrete time variables

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

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Hopfield networks can indeed operate using continuous activation variables combined with discrete time variables, as confirmed by theoretical studies on their dynamics.

The analysis

The retrieved papers include direct mathematical and dynamic investigations of Hopfield networks utilizing both continuous-state (activation) variables and discrete-time steps. Therefore, the claim is well supported by the literature.

Evidence for · 2

Dynamics of Discrete Time, Continuous State Hopfield Networks

Recorded source metadata

Pascal Koiran. Dynamics of Discrete Time, Continuous State Hopfield Networks. 1994. https://doi.org/10.1162/neco.1994.6.3.459

This paper explicitly investigates the dynamics of Hopfield networks operating with discrete time and continuous states.

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More for · 1

A chaotic discrete-time continuous-state Hopfield network with piecewise-affine activation functions

Recorded source metadata

Benito Pires. A chaotic discrete-time continuous-state Hopfield network with piecewise-affine activation functions. 2022. http://arxiv.org/abs/2210.00414v1

This study constructs and analyzes a Hopfield network specifically featuring discrete time steps and continuous activation variables.

Source citation format

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first checked31 Jul 2026

judged → SUPPORTED · 8531 Jul 2026

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