Goodness-of-fit Testing for Discrete Distributions via Stein Discrepancy
暂无分享,去创建一个
Qiang Liu | Vinayak A. Rao | Jennifer Neville | Jiasen Yang | Jennifer Neville | Qiang Liu | Jiasen Yang
[1] Kenji Fukumizu,et al. A Linear-Time Kernel Goodness-of-Fit Test , 2017, NIPS.
[2] Siwei Lyu,et al. Interpretation and Generalization of Score Matching , 2009, UAI.
[3] Geoffrey E. Hinton. Training Products of Experts by Minimizing Contrastive Divergence , 2002, Neural Computation.
[4] N. Chopin,et al. Control functionals for Monte Carlo integration , 2014, 1410.2392.
[5] Martina Morris,et al. Fit, Simulate and Diagnose Exponential-Family Models forNetworks , 2015 .
[6] Aapo Hyvärinen,et al. Some extensions of score matching , 2007, Comput. Stat. Data Anal..
[7] C. Stein. Approximate computation of expectations , 1986 .
[8] AN Kolmogorov-Smirnov,et al. Sulla determinazione empírica di uma legge di distribuzione , 1933 .
[9] Caroline Uhler,et al. Exact Goodness‐of‐Fit Testing for the Ising Model , 2014, 1410.1242.
[10] Bernhard Schölkopf,et al. A Kernel Two-Sample Test , 2012, J. Mach. Learn. Res..
[11] P. Holland,et al. An Exponential Family of Probability Distributions for Directed Graphs , 1981 .
[12] Kurt Mehlhorn,et al. Weisfeiler-Lehman Graph Kernels , 2011, J. Mach. Learn. Res..
[13] Lester W. Mackey,et al. Measuring Sample Quality with Kernels , 2017, ICML.
[14] Aapo Hyvärinen,et al. Estimation of Non-Normalized Statistical Models by Score Matching , 2005, J. Mach. Learn. Res..
[15] Arthur Gretton,et al. A Kernel Test of Goodness of Fit , 2016, ICML.
[16] E. Ising. Beitrag zur Theorie des Ferromagnetismus , 1925 .
[17] G. Reinert,et al. Stein's method for comparison of univariate distributions , 2014, 1408.2998.
[18] E. Giné,et al. On the Bootstrap of $U$ and $V$ Statistics , 1992 .
[19] G. Reinert,et al. Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs , 2017, The Annals of Applied Probability.
[20] Shun-ichi Amari,et al. Information Geometry and Its Applications , 2016 .
[21] W. Hoeffding. A Class of Statistics with Asymptotically Normal Distribution , 1948 .
[22] Gregory Valiant,et al. Instance optimal learning of discrete distributions , 2016, STOC.
[23] Guy Bresler,et al. Stein’s method for stationary distributions of Markov chains and application to Ising models , 2017, The Annals of Applied Probability.
[24] K. Pearson. On the Criterion that a Given System of Deviations from the Probable in the Case of a Correlated System of Variables is Such that it Can be Reasonably Supposed to have Arisen from Random Sampling , 1900 .
[25] Lester W. Mackey,et al. Measuring Sample Quality with Stein's Method , 2015, NIPS.
[26] N. Smirnov. Table for Estimating the Goodness of Fit of Empirical Distributions , 1948 .
[27] D. Darling,et al. A Test of Goodness of Fit , 1954 .
[28] Paul Janssen,et al. Consistency of the Generalized Bootstrap for Degenerate $U$-Statistics , 1993 .
[29] S. V. N. Vishwanathan,et al. Graph kernels , 2007 .
[30] Yvik Swan,et al. Stein’s density approach and information inequalities , 2012, 1210.3921.
[31] Geoffrey E. Hinton,et al. Reducing the Dimensionality of Data with Neural Networks , 2006, Science.
[32] Qiang Liu,et al. A Kernelized Stein Discrepancy for Goodness-of-fit Tests , 2016, ICML.
[33] D. Brook. On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systems , 1964 .