Questions tagged [dirac-delta]

Dirac delta is a generalized function, or distribution, on the real number line that is zero everywhere except at zero, with an integral of one over the entire real line.

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joint density of mixed RVs: A random vector and its cardinality [closed]

Suppose $X$ and $Y$ are two continuous random vectors and $m = |Y|$ is a discrete random variable that denotes the size of the continuous random vector $Y$, i.e. the number of its columns (the ...
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Dirac delta function for multivariate input (in the context of Gaussian processes)

Let's say we have a set of $N$ observations $D = \{\bf X, t\}$ where ${\bf X} = [{\bf x}_1, ..., {\bf x}_N]^T$ are the locations and ${\bf t} = [t_1, ..., t_N]^T$ are the targets. When applying a ...
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Empirical probability and Dirac distribution

According to Deep Learning p.65(Ian Goodfellow and Yoshua Bengio and Aaron Courville, available online): (...) This can be accomplished by defining PDF using the Dirac delta function $\delta(x)$: ...