Related Experiment Video
Updated: Jul 7, 2026

In Situ Transmission Electron Microscopy with Biasing and Fabrication of Asymmetric Crossbars Based on Mixed-Phased a-VOx
Published on: May 13, 2020
Theoretical limitations of a Hopfield network for crossbar switching
1Department of Mathematical Information Engineering, College of Industrial Technology, Nihon University, Narashino, Chiba 275-8575, Japan. smatuda@cit.nihon-u.ac.jp
Abstract:
It has been reported through simulations that Hopfield networks for crossbar switching almost always achieve the maximum throughput. It has therefore appeared that Hopfield networks of high-speed computation by parallel processing could possibly be used for crossbar switching. However, it has not been determined whether they can always achieve the maximum throughput. In the paper, the capabilities and limitations of a Hopfield network for crossbar switching are considered. The Hopfield network considered in the paper is generated from the most familiar and seemingly the most powerful neural representation of crossbar switching. Based on a theoretical analysis of the network dynamics, we show what switching control the Hopfield network can or cannot produce. Consequently, we are able to show that a Hopfield network cannot always achieve the maximum throughput.
Related Concept Videos
Network Function of a Circuit
Switching of BJT
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are reverse-biased. The...
Ampere-Maxwell's Law: Problem-Solving
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Relation between Mathematical Equations and Block Diagrams
Block Diagram Reduction
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
Limitations of Friedel–Crafts Reactions

