Web31 okt. 2024 · Sliced mutual information (SMI) is defined as an average of mutual information (MI) terms between one-dimensional random projections of the random variables. It serves as a surrogate measure of dependence to classic MI that preserves many of its properties but is more scalable to high dimensions. However, a quantitative … WebMutual information (MI) [1] between two random variables is a non-negative value, which measures the dependency between the variables. It is equal to zero if and only if two random variables are independent, and higher values mean higher dependency. The function relies on nonparametric methods based on entropy estimation from k-nearest ...
(PDF) Sliced Mutual Information: A Scalable Measure of …
WebWe study the estimation of the mutual information I(X;Tℓ) between the input X to a deep neural network (DNN) and the output vector Tℓ of its ℓth hidden layer (an "internal … Web11 okt. 2024 · Mutual information (MI) is a fundamental measure of statistical dependence, with a myriad of applications to information theory, statistics, and machine learning. While it possesses many desirable structural properties, the estimation of high-dimensional MI from samples suffers from the curse of dimensionality. cfp201 dualbrew coffee maker
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Web21 mei 2024 · Mutual information (MI) is a fundamental measure of statistical dependence, with a myriad of applications to information theory, statistics, and machine learning. While it possesses many desirable structural properties, the estimation of high-dimensional MI from samples suffers from the curse of dimensionality. Motivated by statistical scalability to … Web17 jun. 2024 · k-Sliced Mutual Information: A Quantitative Study of Scalability with Dimension @article{Goldfeld2024kSlicedMI, title={k-Sliced Mutual Information: A … WebWe also explore asymptotics of the population k-SMI as dimension grows, providing Gaussian approximation results with a residual that decays under appropriate moment bounds. Our theory is validated with numerical experiments and is applied to sliced InfoGAN, which altogether provide a comprehensive quantitative account of the … cfp22cf-8.5d