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A probability provides a quantitative description of the likely occurrence of a particular event.

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What does it mean to "interpret the sigmoid $\sigma(\theta^Tx)$ as a probability"? [duplicate]

In Goodfellow's Deep learning text, it is written Is this way of defining a probability $p(y=1| x;\theta)$ even legal? … Recall the definition of a probability given a random variable where $p_X$ is the probability mass function. Is the logistic function $\sigma$ considered to be a probability mass function? …
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Are data considered to be "events" or "random variables" in machine learning?

I was sitting at a lecture on Naive Bayes, and the speaker, on a slide, said: Given a feature $x = \begin{bmatrix} x_1, \ldots, x_n \end{bmatrix}^T$, the probability of the feature belong to class …
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