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Data · dataset · 2025

Spatially Embedded Neural Networks: Verifying Single-Neuron Approximate Bayesian Updating in 3D

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<p dir="ltr">This research note verifies that one can apply Bayesian updates to a 3D Gaussian PDF to optimise a spatially embedded node’s coordinates.

Description

A spatially embedded neural network is a computational graph whose coordinates lie in the Euclidean RD space. The author applies Bayes’ rule to obtain an evidence-dependent analytical update for the neuron’s medial node PDF.

Updating the medial node PDF allows weight training in spatially conditioned networks. The mean-squared error loss and a Gaussian prior are used.</p>

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Machine learning 73%
Provenance · 1 source records, 9 field assertions
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