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New method infers SDE parameters using neural networks and Euler approximation

Researchers have developed a novel method for inferring parameters of stochastic differential equations (SDEs) driven by a specific type of Gaussian process. This approach utilizes neural networks and an Euler approximation to estimate drift, diffusion, and noise covariance from discrete observations. The method models the drift and diffusion coefficients using neural and radial-basis representations, and then estimates the covariance exponent and diffusion scale through a likelihood profile, showing promising results compared to alternative neural methods. AI

IMPACT This research advances methods for parameter inference in complex stochastic systems, potentially improving the modeling and simulation capabilities of AI systems that rely on such mathematical frameworks.

RANK_REASON The item is an academic paper submitted to arXiv in the stat.ML category, detailing a new inference method for stochastic differential equations. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New method infers SDE parameters using neural networks and Euler approximation

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The item is an academic paper submitted to arXiv in the stat.ML category, detailing a new inference method for stochastic differential equations. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · J. H. Ramirez-Gonzalez ·

    Inference for stochastic differential equations driven by weighted sub-fractional Brownian motion using neural networks and the Euler approximation

    arXiv:2610.00793v1 Announce Type: new Abstract: We consider the estimation of drift, diffusion, and noise covariance from discrete observations of stochastic differential equations driven by Gaussian processes. For a fixed observation horizon $T>0$ and a known initial state $x_0\…