Emotional support chicken #multiLayer #yarn #photo

'A tensor factorization model of multilayer network interdependence', by Izabel Aguiar, Dane Taylor, Johan Ugander.

http://jmlr.org/papers/v25/23-0205.html

#tensors #tensor #multilayer

A tensor factorization model of multilayer network interdependence

The recently disproven bunkbed conjecture is fascinating - very topical for nowaday's hype in #multilayer #higherorder #networkscience
Not very useful with the 10^(-4331) result, but interesting: https://arxiv.org/abs/2410.02545
Here a nice explainer: https://www.youtube.com/watch?v=aDU-oTiHnCs
The bunkbed conjecture is false

We give an explicit counterexample to the Bunkbed Conjecture introduced by Kasteleyn in 1985. The counterexample is given by a planar graph on $7222$ vertices, and is built on the recent work of Hollom (2024).

arXiv.org

`Here we report a theoretical and experimental framework for the force behaviour in generic solid/liquid-dielectric #multilayer stacks independent of #actuator design and solely based on their #dielectric properties. We use this model to develop #materials-based solutions, which rely on matching the bulk charge relaxation rates of the constituent dielectrics, for a variety of soft actuator systems: tunable #lenses, artificial #muscles and #haptic #devices.`

https://www.nature.com/articles/s41928-023-01057-0

Electrostatic actuators with constant force at low power loss using matched dielectrics - Nature Electronics

A model that predicts the force behaviour for solid/liquid-dielectric multilayer stacks independent of actuator design, and solely based on the material properties, can be used to develop actuators that provide a steady force output under constant-voltage operation.

Nature
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