Computing functions of random variables via reproducing kernel Hilbert space representations


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Date

2015-07

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

We describe a method to perform functional operations on probability distributions of random variables. The method uses reproducing kernel Hilbert space representations of probability distributions, and it is applicable to all operations which can be applied to points drawn from the respective distributions. We refer to our approach as kernel probabilistic programming. We illustrate it on synthetic data and show how it can be used for nonparametric structural equation models, with an application to causal inference.

Publication status

published

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Book title

Volume

25 (4)

Pages / Article No.

755 - 766

Publisher

Springer

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Subject

Kernel methods; Probabilistic programming; Causal inference

Organisational unit

Notes

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