Probability Distributions as Program Variables

By Dimitrios Milios. 2009

7 citations recorded by the source corpus.

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1. Adam Scibior
2. Ilya O. Tolstikhin
3. Carl-Johann Simon-Gabriel
4. Bernhard Schölkopf
5. Krikamol Muandet
6. Ali Borji
7. Pierre Alquier
8. Sayeri Lala

Citations in the corpus

• Consistent Kernel Mean Estimation for Functions of Random Variables (2016, background): “For real valued distributions, integral transforms (Springer, 1979), mixtures of Gaussians (Milios, 2009), Laguerre polynomials (Williamson, 1989), and Chebyshev polynomials (Korzeń and Jaroszewicz, 2014) were proposed as convenient representations for numerical computation.”
• Computing functions of random variables via reproducing kernel Hilbert space representations (2015, neutral): “Milios (2009) approximates the probability distributions of the input random variables as mixture models (using uniform and Gaussian distributions), and apply the computations to all mixture components.”