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This short note is on a property of the Kullback-Leibler (KL) divergencewhich indicates that independent Gaussian distributions minimize the KLdivergence from given independent Gaussian distributions. The primary purposeof this note is for the referencing of papers that need to make use of thisproperty entirely or partially.

Independent Gaussian Distributions Minimize the Kullback-Leibler (KL) Divergence from Independent Gaussian Distributions