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Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities. (arXiv:2401.16563v1 [math.AT])
stat.ML updates on arXiv.org arxiv.org
Phenomenological (P-type) bifurcations are qualitative changes in stochastic
dynamical systems whereby the stationary probability density function (PDF)
changes its topology. The current state of the art for detecting these
bifurcations requires reliable kernel density estimates computed from an
ensemble of system realizations. However, in several real world signals such as
Big Data, only a single system realization is available -- making it impossible
to estimate a reliable kernel density. This study presents an approach for
detecting P-type bifurcations using unreliable …
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