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Probability density evolution equation for solving finite-dimensional distributions of a stochastic process
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DOI：10.1016/j.probengmech.2026.103970.png)
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Abstract
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• Establishes new PDEs for stochastic process finite-dimensional distributions using conditional independence. • •Solve high-dimensional densities via Generalized Density Evolution Equations. • •Greatly reduces computational cost versus traditional high-dimensional schemes. • •Capture 2D and higher-order probability densities of stochastic dynamic responses.
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