Non-Gaussianity of the Stagnation Law in Particle Swarm Optimization
It is proved that throughout the open mean-square stability region, no invariant position marginal, and hence no limiting position marginal, can be Gaussian.
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It is proved that throughout the open mean-square stability region, no invariant position marginal, and hence no limiting position marginal, can be Gaussian.
We study averaging-learning dynamics without an exogenous ground truth: the reference signal is generated endogenously by the population. The dynamics combine a time-varying averaging matrix, a learning-source matrix, and a learning matrix, typically diagonal. Dobrushin-type contraction controls the decay of oscillatio...
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