Information divergence estimation based on data-dependent partitions
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Publication:988952
DOI10.1016/j.jspi.2010.04.011zbMath1205.62003OpenAlexW2171585891MaRDI QIDQ988952
Shrikanth S. Narayanan, Jorge F. Silva
Publication date: 19 August 2010
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/144462
statistically equivalent blocksBarron density estimatedata-dependent partitionsinformation divergence estimationtree-structured partitionsVapnik-Chervonenkis inequality
Density estimation (62G07) Estimation in multivariate analysis (62H12) Statistical aspects of information-theoretic topics (62B10)
Related Items (3)
Information dependency: strong consistency of Darbellay-Vajda partition estimators ⋮ On the convergence of Shannon differential entropy, and its connections with density and entropy estimation ⋮ Density-Difference Estimation
Cites Work
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- A Mathematical Theory of Communication
- On convergence properties of Shannon entropy
- Density-free convergence properties of various estimators of entropy
- Consistency of data-driven histogram methods for density estimation and classification
- Histogram regression estimation using data-dependent partitions
- On asymptotic sufficiency and optimality of quantizations
- On the Efficient Evaluation of Probabilistic Similarity Functions for Image Retrieval
- Divergence Estimation of Continuous Distributions Based on Data-Dependent Partitions
- Asymptotically Sufficient Partitions and Quantizations
- Undersmoothed Kernel Entropy Estimators
- Distribution estimation consistent in total variation and in two types of information divergence
- Applications of Ali-Silvey Distance Measures in the Design Generalized Quantizers for Binary Decision Systems
- Distribution Estimates Consistent in χ2-Divergence
- Recursive partitioning to reduce distortion
- About the asymptotic accuracy of Barron density estimates
- Discriminative Wavelet Packet Filter Bank Selection for Pattern Recognition
- On convergence of information contained in quantized observations
- Analysis of a complexity-based pruning scheme for classification trees
- Estimation of the information by an adaptive partitioning of the observation space
- Estimation of Entropy and Mutual Information
- Divergence Estimation for Multidimensional Densities Via $k$-Nearest-Neighbor Distances
- Minimum Probability of Error Image Retrieval
- Tree pruning with subadditive penalties
- Enumeration of Seven-Argument Threshold Functions
- A Consistent Nonparametric Multivariate Density Estimator Based on Statistically Equivalent Blocks
- On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
- Information Theory and Statistics: A Tutorial
- Large deviations
- Combinatorial methods in density estimation
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