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PreprintCC BY 4.0arXiv

TV between Bernoulli products, up to constants

Abstract

We obtain upper and lower bounds on the total variation distance between two product Bernoulli measures. The bounds are efficiently computable and match up to an absolute constant factor.

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BibTeX
@misc{smirnov2026between,
  title = {{TV between Bernoulli products, up to constants}},
  author = {Gleb Smirnov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19222},
  eprint = {2609.19222},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19222},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - TV between Bernoulli products, up to constants
AU  - Gleb Smirnov
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.19222
UR  - https://arxiv.org/abs/2609.19222
AB  - We obtain upper and lower bounds on the total variation distance between two product Bernoulli measures. The bounds are efficiently computable and match up to an absolute constant factor.
ER  -