Distance Measure Machines

On a measure of divergence between two statistical populations defined by their probability distributions

Bhattacharyya, Anil. 1943 · 1943

Earlier work this paper cites.

An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite σ \sigma -algebras

Bures, Donald. 1969 · 1969

Earlier work this paper cites.

Solving the multiple instance problem with axis-parallel rectangles

Dietterich, Thomas G, Lathrop, Richard H, & Lozano-Pérez, Tomás. 1997 · 1997

Earlier work this paper cites.

Random forests

Breiman, Leo. 2001 · 2001

Earlier work this paper cites.

Learning with kernels: support vector machines, regularization, optimization, and beyond

Schölkopf, Bernhard, & Smola, Alexander J. 2002 · 2002

Earlier work this paper cites.

Learning with distance substitution kernels

Haasdonk, Bernard, & Bahlmann, Claus. 2004 · 2004

Earlier work this paper cites.

Probability product kernels

Jebara, Tony, Kondor, Risi, & Howard, Andrew. 2004 · 2004

Earlier work this paper cites.

Hilbertian metrics and positive definite kernels on probability measures

Hein, Matthias, & Bousquet, Olivier. 2005 · 2005

Earlier work this paper cites.

A kernel method for the two-sample-problem

Gretton, Arthur, Borgwardt, Karsten M, Rasch, Malte, Schölkopf, Bernhard, & Smola, Alex J. 2007 · 2007

Earlier work this paper cites.

Nonparametric estimation of the likelihood ratio and divergence functionals

Nguyen, XuanLong, Wainwright, Martin J, & Jordan, Michael I. 2007 · 2007

Earlier work this paper cites.

A theory of learning with similarity functions

Balcan, Maria-Florina, Blum, Avrim, & Srebro, Nathan. 2008 · 2008

Cited alongside, same era.

Optimal transport: old and new

Villani, C. 2009 · 2009

Cited alongside, same era.

Estimating divergence functionals and the likelihood ratio by convex risk minimization

Nguyen, XuanLong, Wainwright, Martin J, & Jordan, Michael I. 2010 · 2010

Cited alongside, same era.

Non-parametric estimation of integral probability metrics

Sriperumbudur, Bharath K, Fukumizu, Kenji, Gretton, Arthur, Schölkopf, Bernhard, & Lanckriet, Gert RG. 2010 · 2010

Cited alongside, same era.

Who supported Obama in 2012?: Ecological inference through distribution regression

Flaxman, Seth R, Wang, Yu-Xiang, & Smola, Alexander J. 2015 · 2012

Cited alongside, same era.

A kernel two-sample test

Gretton, Arthur, Borgwardt, Karsten M, Rasch, Malte J, Schölkopf, Bernhard, & Smola, Alexander. 2012 · 2012

Distribution-Free Distribution Regression

Póczos, Barnabás, Singh, Aarti, Rinaldo, Alessandro, & Wasserman, Larry A. 2013 · 2013

Later among the works it cites.

On the rate of convergence in Wasserstein distance of the empirical measure

Fournier, Nicolas, & Guillin, Arnaud. 2015 · 2015

Later among the works it cites.

Learning with a Wasserstein Loss

Frogner, C., Zhang, C., Mobahi, H., Araya, M., & Poggio, T. 2015 · 2015

Later among the works it cites.

A machine learning approach for dynamical mass measurements of galaxy clusters

Ntampaka, Michelle, Trac, Hy, Sutherland, Dougal J, Battaglia, Nicholas, Póczos, Barnabás, & Schneider, Jeff. 2015 · 2015

Later among the works it cites.

On the decreasing power of kernel and distance based nonparametric hypothesis tests in high dimensions

Ramdas, Aaditya, Reddi, Sashank Jakkam, Póczos, Barnabás, Singh, Aarti, & Wasserman, Larry A. 2015 · 2015

Later among the works it cites.

Wasserstein Generative Adversarial Networks