Search Results for author: Ilja Klebanov

Found 4 papers, 1 papers with code

The linear conditional expectation in Hilbert space

no code implementations27 Aug 2020 Ilja Klebanov, Björn Sprungk, T. J. Sullivan

The linear conditional expectation (LCE) provides a best linear (or rather, affine) estimate of the conditional expectation and hence plays an important r\^ole in approximate Bayesian inference, especially the Bayes linear approach.

Bayesian Inference BIG-bench Machine Learning

A Rigorous Theory of Conditional Mean Embeddings

no code implementations2 Dec 2019 Ilja Klebanov, Ingmar Schuster, T. J. Sullivan

Conditional mean embeddings (CMEs) have proven themselves to be a powerful tool in many machine learning applications.

Markov Chain Importance Sampling -- a highly efficient estimator for MCMC

no code implementations18 May 2018 Ingmar Schuster, Ilja Klebanov

As a by-product it enables estimating the normalizing constant, an important quantity in Bayesian machine learning and statistics.

BIG-bench Machine Learning

Objective Priors in the Empirical Bayes Framework

1 code implementation30 Nov 2016 Ilja Klebanov, Alexander Sikorski, Christof Schütte, Susanna Röblitz

Motivated by this principle and following an information-theoretic approach similar to the construction of reference priors, we suggest a penalty term that guarantees this kind of invariance.

Methodology 62G07

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