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Polynomial Methods in Statistical Inference: Theory and Practice

https://doi.org/10.1561/0100000095
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The Problem of Moments
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THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
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THE NUMBER OF NEW SPECIES, AND THE INCREASE IN POPULATION COVERAGE, WHEN A SAMPLE IS INCREASED
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Orthogonal Polynomials
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Generalized Method of Moments
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Entropy and Information in Neural Spike Trains
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Isotropic PCA and Affine-Invariant Clustering
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Adaptive estimation of Shannon entropy
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Universal Compression of Memoryless Sources Over Unknown Alphabets
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Probability Estimation in the Rare-Events Regime
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Maximum Likelihood Estimation of Functionals of Discrete Distributions
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Efficient Methods to Compute Optimal Tree Approximations of Directed Information Graphs
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The EM Algorithm—an Old Folk-song Sung to a Fast New Tune
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On Choosing and Bounding Probability Metrics
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Mixed Poisson Distributions
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Scale Mixtures of Normal Distributions
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Maximum Likelihood from Incomplete Data Via the EM Algorithm
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THE CLASSICAL MOMENT PROBLEM AND SOME RELATED QUESTIONS IN ANALYSIS
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Table of Integrals, Series, and Products
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Conjugate Duality and Optimization
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Mixture Densities, Maximum Likelihood and the EM Algorithm
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Efficiently Learning Ising Models on Arbitrary Graphs
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Statistical estimators for relational algebra expressions
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Mixture models, robustness, and sum of squares proofs
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Towards estimation error guarantees for distinct values
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Learning mixtures of arbitrary gaussians
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Sampling algorithms
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Estimation of Entropy and Mutual Information
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Interpolation and Approximation
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Statistical Estimation: Asymptotic Theory
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Nonquadratic estimators of a quadratic functional
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Statistical guarantees for the EM algorithm: From population to sample-based analysis
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Spectrum estimation from samples
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Strong identifiability and optimal minimax rates for finite mixture estimation
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Chebyshev polynomials, moment matching, and optimal estimation of the unseen
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Optimal estimation of Gaussian mixtures via denoised method of moments
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Optimal rates of entropy estimation over Lipschitz balls
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Construction of Sequences Estimating the Mixing Distribution
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Consistency of the Maximum Likelihood Estimator in the Presence of Infinitely Many Incidental Parameters
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Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities
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Rates of convergence for the Gaussian mixture sieve
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Information-theoretic determination of minimax rates of convergence
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Efficient estimation of integral functionals of a density
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Optimal Rate of Convergence for Finite Mixture Models
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Optimal Rates of Convergence for Nonparametric Estimators
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Natural Exponential Families with Quadratic Variance Functions
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Maximum Likelihood and Decision Theory
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Mixtures of Exponential Distributions
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Moment Matrices: Applications in Mixtures
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Geometrizing Rates of Convergence, II
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From the Species Problem to a General Coverage Problem via a New Interpretation
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An Efron-Stein Inequality for Nonsymmetric Statistics
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Estimation of the Mixing Distribution for a Normal Mean with Applications to the Compound Decision Problem
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Convergence of Estimates Under Dimensionality Restrictions
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Mixture Models
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Estimation of analytic functions
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Theory of Uniform Approximation of Functions by Polynomials
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On Choosing and Bounding Probability Metrics
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The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population
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Real and Complex Analysis.
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Generalized Method of Moments
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Knowing the unseen
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Dualizing Le Cam’s Method with Applications to Estimating the Unseens
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Sample complexity of the distinct elements problem
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Optimal rates of estimation for multi-reference alignment
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Scikit-learn: Machine Learning in Python
inferredcites →https://doi.org/10.48550/arxiv.1206.5766openalex-snapshot
Learning mixtures of spherical Gaussians: moment methods and spectral decompositions
inferredcites →https://doi.org/10.48550/arxiv.1505.06807openalex-snapshot
MLlib: Machine Learning in Apache Spark
inferredcites →https://doi.org/10.48550/arxiv.1605.08695openalex-snapshot
TensorFlow: A system for large-scale machine learning
inferredcites →https://doi.org/10.48550/arxiv.1608.07630openalex-snapshot
Global analysis of Expectation Maximization for mixtures of two Gaussians
inferredcites →https://doi.org/10.48550/arxiv.1609.00368openalex-snapshot
Ten Steps of EM Suffice for Mixtures of Two Gaussians
inferredcites →https://doi.org/10.48550/arxiv.1612.02099openalex-snapshot
Statistical and Computational Guarantees of Lloyd's Algorithm and its Variants
inferredcites →https://doi.org/10.48550/arxiv.1702.05574openalex-snapshot
Sample complexity of population recovery
inferredcites →https://doi.org/10.48550/arxiv.1802.08405openalex-snapshot
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inferredcites →https://doi.org/10.48550/arxiv.math/0502036openalex-snapshot
Divided Differences

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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VISIT PROFILES AND TOURISM DESTINATION THRESHOLDS USING POLYNOMIAL AND MALTHUSIAN
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Additional file 1 of Neurophysiological insights into sequential decision-making: exploring the secretary problem through ERPs and TBR dynamics
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