mlsanityData to 7 Oct 2026

Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions

arXiv 2212.05820 ↗First posted 12 Dec 2022math.PR cs.IT cs.LGcited by 3

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Abstract (arXiv)

For arbitrary two probability measures on real d-space with given means and variances (covariance matrices), we provide lower bounds for their total variation distance. In the one-dimensional case, a tight bound is given.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 1 of its 17 references that are in the map. First posted on arXiv 12 Dec 2022.

Builds on

1 of 17 references.

References · 1

  1. 2021Lower Bounds on the Total Variation Distance Between Mixtures of Two Gaussianscited by 4

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Citing papers per year: 2023: 1; 2024: 1; 2025: 1.

3 papers.