Supplementary Material to Kernel Mean Estimation and Stein Effect Krikamol Muandet∗1 , Kenji Fukumizu†2 , Bharath Sriperumbudur‡3 , Arthur Gretton§4 , and Bernhard Sch¨olkopf¶1 1

Source URL: krikamol.org

Kernel Choice and Classifiability for RKHS Embeddings of Probability Distributions Bharath K. Sriperumbudur Department of ECE UC San Diego, La Jolla, USA

Source URL: select.cs.cmu.edu

• Hilbert space
• Fourier analysis
• Operator theory
• Probability theory
• Probability distributions
• Reproducing kernel Hilbert space
• Positive-definite kernel
• Fourier transform
• Normal distribution
• Dirac delta function
• Characteristic function
• Kernel

Distribution Regression: Computational & Statistical Tradeoffs Zolt´an Szab´o (Gatsby Unit, UCL) Joint work with ◦ Bharath K. Sriperumbudur (Department of Statistics, PSU),

Source URL: www.gatsby.ucl.ac.uk

Optimal rates for random Fourier features Bharath Sriperumbudur∗ Dept. of Statistics, PSU Zolt´an Szab´o∗ Gatsby Unit, UCL

Source URL: www.gatsby.ucl.ac.uk

Optimal rates for random Fourier feature kernel approximations Zolt´an Szab´o∗ Gatsby Unit, UCL Joint work with Bharath K. Sriperumbudur∗

Source URL: www.gatsby.ucl.ac.uk

Optimal Rates for the Random Fourier Feature Method Zolt´an Szab´o∗ Gatsby Unit, UCL Joint work with Bharath K. Sriperumbudur∗

Source URL: www.gatsby.ucl.ac.uk

∗ Optimal Rates for Random Fourier Features Bharath K. Sriperumbudur Zoltán Szabó

Source URL: www.gatsby.ucl.ac.uk

Distribution Regression: Computational & Statistical Tradeoffs Zolt´an Szab´o (Gatsby Unit, UCL) Joint work with ◦ Bharath K. Sriperumbudur (Department of Statistics, PSU),

Source URL: www.gatsby.ucl.ac.uk

Journal of Machine Learning Research1561 Submitted 8/09; Revised 3/10; Published 4/10 Hilbert Space Embeddings and Metrics on Probability Measures Bharath K. Sriperumbudur

Source URL: select.cs.cmu.edu

• Mathematical analysis
• Mathematics
• Analysis
• Hilbert space
• Fourier analysis
• Generalized functions
• Functional analysis
• Operator theory
• Reproducing kernel Hilbert space
• Positive-definite kernel
• Dirac delta function
• Convolution

Optimal kernel choice for large-scale two-sample tests Arthur Gretton,1,3 Bharath Sriperumbudur,1 Dino Sejdinovic,1 Heiko Strathmann2 1 Gatsby Unit and 2 CSD, CSML, UCL, UK; 3 MPI for Intelligent Systems, Germany {arthu

Source URL: www.gatsby.ucl.ac.uk