Bernoulli distribution

Probability · Formula · Not yet linked from a lesson

p(x)=θx(1−θ)1−x,x∈{0,1}p(x) = \theta^{x} (1-\theta)^{1-x}, \quad x \in \{0, 1\}

A single yes-or-no trial with probability theta of yes. Its negative log is binary cross-entropy, which is the loss behind every binary classifier you have trained.

Symbols

θ\theta
The probability of the outcome being one.
xx
The outcome, either zero or one.
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