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What is the Continuous Bernoulli distribution good for? Edit: I see it’s equivalent to a Beta distribution.
by canjobear 6y ago
What is the Continuous Bernoulli distribution good for?
Edit: I see it’s equivalent to a Beta distribution.
- blackbear_ 6y agoNot even a full-blown beta distribution, just a special case. And it was published in neurips...
- alentist 6y agoThis is not correct. See above.
- alentist 6y ago> I see it’s equivalent to a Beta distribution. It's not. The beta distribution is p(x) ∝ x^(α-1) (1-x)^(β-1). x is in the bases. The continuous Bernoulli distribution is p(x) ∝ λ^x (1-λ)^x. x is in the exponents. As https://arxiv.org/abs/1907.06845 https://arxiv.org/abs/1907.06845 says: > the continuous Bernoulli is not a beta distribution (the main difference between these two distributions is how they concentrate mass around the extrema, see appendix 1 for details) The appendix is available here (under "Supplemental"): https://papers.nips.cc/paper/2019/hash/f82798ec8909d23e55679ee26bb26437-Abstract.html https://papers.nips.cc/paper/2019/hash/f82798ec8909d23e55679...