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We give an algorithm for properly learning Poisson binomial distributions.
A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
H. Chernoff · 1952
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Probability inequalities for sums of bounded random variables
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Statistical Inference under Order Restrictions
R.E. Barlow, D.J. Bartholomew, J.M. Bremner, and H.D. Brunk · 1972
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Nonparametric Density Estimation: The L 1 L_{1} View
L. Devroye and L. Györfi · 1985
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Density Estimation
B. W. Silverman · 1986
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On the computational complexity and geometry of the first-order theory of the reals
J. Renegar · 1992
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On the computational complexity of approximating solutions for real algebraic formulae
J. Renegar · 1992
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Multivariate Density Estimation: Theory, Practice and Visualization
D.W. Scott · 1992
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On the learnability of discrete distributions
M. Kearns, Y. Mansour, D. Ron, R. Rubinfeld, R. Schapire, and L. Sellie · 1994
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An Introduction to Computational Learning Theory
M. Kearns and U. Vazirani · 1994
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Statistical applications of the Poisson-Binomial and Conditional Bernoulli Distributions
S.X. Chen and J.S. Liu · 1997
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Estimating a mixture of two product distributions
Y. Freund and Y. Mansour · 1999
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Learning mixtures of arbitrary Gaussians
S. Arora and R. Kannan · 2001
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Combinatorial methods in density estimation
L. Devroye and G. Lugosi · 2001
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Evolutionary trees can be learned in polynomial time in the two state general Markov model
M. Cryan, L. Goldberg, and P. Goldberg · 2002
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A spectral algorithm for learning mixtures of distributions
S. Vempala and G. Wang · 2002
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Learning mixtures of product distributions over discrete domains
J. Feldman, R. O’Donnell, and R. Servedio · 2005
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Computing equilibria in anonymous games
C. Daskalakis and C. H. Papadimitriou · 2007
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On Oblivious PTAS’s for Nash Equilibrium
C. Daskalakis and C. Papadimitriou · 2009
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Concentration of measure for the analysis of randomized algorithms
D. Dubhashi and A. Panconesi · 2009
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Maximum likelihood estimation of a log-concave density and its distribution function: Basic properties and uniform consistency
L. D umbgen and K. Rufibach · 2009
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On the rate of convergence of the maximum likelihood estimator of a k k -monotone density
F. Gao and J. A. Wellner · 2009
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Inference and modeling with log-concave distributions
G. Walther · 2009
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Polynomial learning of distribution families
M. Belkin and K. Sinha · 2010
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Faster and sample near-optimal algorithms for proper learning mixtures of gaussians
C. Daskalakis and G. Kamath · 2014
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Sparse covers for sums of indicators
C. Daskalakis and C. Papadimitriou · 2014
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Approximate nash equilibria in anonymous games
C. Daskalakis and C. H. Papadimitriou · 2014
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Query complexity of approximate equilibria in anonymous games
P. W. Goldberg and S. Turchetta · 2014
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Global rates of convergence in log-concave density estimation
A. K. H. Kim and R. J. Samworth · 2014
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Near-optimal-sample estimators for spherical gaussian mixtures
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Efficiently learning mixtures of two Gaussians
A. T. Kalai, A. Moitra, and G. Valiant · 2010
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Settling the polynomial learnability of mixtures of Gaussians
A. Moitra and G. Valiant · 2010
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Pseudorandom generators for combinatorial shapes
P. Gopalan, R. Meka, O. Reingold, and D. Zuckerman · 2011
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Symmetries in Semidefinite and Polynomial Optimization
C. Riener · 2011
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Optimal hitting sets for combinatorial shapes
A. Bhaskara, D. Desai, and S. Srinivasan · 2012
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Learning Poisson Binomial Distributions
C. Daskalakis, I. Diakonikolas, and R.A. Servedio · 2012
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A. T. Suresh, A. Orlitsky, J. Acharya, and A. Jafarpour · 2014
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Testing poisson binomial distributions
J. Acharya and C. Daskalakis · 2015
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Optimal testing for properties of distributions
J. Acharya, C. Daskalakis, and G. Kamath · 2015
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Sample-optimal density estimation in nearly-linear time
J. Acharya, I. Diakonikolas, J. Li, and L. Schmidt · 2015
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Testing shape restrictions of discrete distributions
C. Canonne, I. Diakonikolas, T. Gouleakis, and R. Rubinfeld · 2015
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Learning poisson binomial distributions
C. Daskalakis, I. Diakonikolas, and R. A. Servedio · 2015
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Beyond the central limit theorem: asymptotic expansions and pseudorandomness for combinatorial sums
A. De · 2015
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The fourier transform of poisson multinomial distributions and its algorithmic applications
I. Diakonikolas, D. M. Kane, and A. Stewart · 2015
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Optimal learning via the fourier transform for sums of independent integer random variables
I. Diakonikolas, D. M. Kane, and A. Stewart · 2015
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On the structure, covering, and learning of poisson multinomial distributions
C. Daskalakis, G. Kamath, and C. Tzamos · 2015
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Hardness of proper learning (1988; pitt, valiant)
V. Feldman · 2015
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Pseudorandomness via the discrete fourier transform
P. Gopalan, D. M. Kane, and R. Meka · 2015
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J. Li and L. Schmidt · 2015
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