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Showing 1 to 2 of 2 for “"Log Sobolev Inequality"”.
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Non-parametric threshold for smoothed empirical Wasserstein distance
… resulting in the failure of 𝑇₂-transportation inequality when 𝜎 < 𝐾, hence also resolving the open problem in [17] about whether 𝐾 < 𝜎 is necessary in proving whether the log-Sobolev inequality holds for P * 𝒩 (0, 𝜎²).
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A concentration inequality based statistical methodology for inference on covariance matrices and operators
… dimensional data, classical statistical methodology is often rendered inefficient and ineffective when confronted with such big data problems as arise in genomics, medical imaging, speech analysis, and many other areas of research. Many problems manifest when the practitioner is required to take …