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We use Stein's method to bound the Wasserstein distance of order $2$ between a measure $\nu$ and the Gaussian measure using a stochastic process $(X_t)_{t \geq 0}$ such that $X_t$ is drawn from $\nu$ for any $t > 0$.
In: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Probability Theory, pp. 583–602. University of California Press, Berkeley, Calif. (1972)
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Courtade, T.A., Fathi, M., Pananjady, A.: Existence of Stein Kernels under a Spectral Gap, and Discrepancy Bound · 2017
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