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New Gauss-Hermite Quadrature Method for Gaussian Mixture Entropy

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a new Gauss-Hermite quadrature method to numerically approximate the differential entropy of Gaussian mixtures, which typically lacks a closed-form solution. This method's accuracy is influenced by the quadrature order and has been validated against benchmarks in one and two dimensions. Additionally, for continuous action optimization, a Hermite polynomial surrogate in action space was introduced, demonstrating reduced error and regret in a radar pointing benchmark compared to traditional Taylor surrogates. AI

RANK_REASON The cluster contains an academic paper detailing a new numerical method for approximating differential entropy. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New Gauss-Hermite Quadrature Method for Gaussian Mixture Entropy

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The cluster contains an academic paper detailing a new numerical method for approximating differential entropy. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Jae Wan Shim ·

    Gauss--Hermite Quadrature for Gaussian-Mixture Entropy with an Action-Space Hermite Surrogate

    arXiv:2608.21467v1 Announce Type: new Abstract: Gaussian distributions are used to model uncertainty in signals and states, and Gaussian mixtures are often used when the underlying distribution is multimodal. Unlike a single Gaussian, a Gaussian mixture generally has no closed-fo…

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