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The joint probability density function \(f\) of two random variables \(X\) and \(Y\) satisfies, for every \(a_1 b_1\) and \(a_2 b_2\), \[ P(a_1\le X\le b_1, a_2\le Y ...

Abstract: Joint probability density or joint probability mass function (PDF/PMF) estimation is a fundamental machine learning problem. The number of free parameters scales exponentially with respect ...

This is a preview. Log in through your library . Abstract We derive conditions under which a set of conditional and marginal probability distributions will uniquely specify an all-positive joint ...

The main property of a discrete joint probability distribution can be stated as the sum of all non-zero probabilities is 1. The next line shows this as a formula. The marginal distribution of X can be ...

Abstract: Image cropping aims at locating a candidate (rectangle region) with the highest aesthetic quality in professional photography. One solution of the previous methods is to generate a large ...

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