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Concentration of Measure Inequalities in Information Theory, Communications, and Coding

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Elements of Information Theory
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Some properties of trigonometric series whose terms have random signs
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Concentration of measure and isoperimetric inequalities in product spaces
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Concentration of measure and logarithmic Sobolev inequalities
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Some Applications of Mass Transport to Gaussian-Type Inequalities
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Fisher information inequalities and the central limit theorem
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Stein’s method for concentration inequalities
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Properties of isoperimetric, functional and Transport-Entropy inequalities via concentration
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User-Friendly Tail Bounds for Sums of Random Matrices
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Superadditivity of Fisher's information and logarithmic Sobolev inequalities
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Tightened exponential bounds for discrete-time conditionally symmetric martingales with bounded jumps
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Improved lower bounds on the total variation distance for the Poisson approximation
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Concentration inequalities via zero bias couplings
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Some inequalities satisfied by the quantities of information of Fisher and Shannon
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On Bernstein-type inequalities for martingales
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Modern Coding Theory
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Information Theory
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On the method of bounded differences
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Network Information Theory
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Random Matrices: High Dimensional Phenomena
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Centering Sequences with Bounded Differences
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The Theory of Probability
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On Talagrand's deviation inequalities for product measures
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Partially Alternate Derivation of a Result of Nelson
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A refinement of Hoeffding's inequality
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Probability Inequalities for the Sum of Independent Random Variables
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Probability Inequalities for Sums of Bounded Random Variables
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Concentration Inequalities and Martingale Inequalities: A Survey
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Beyond the method of bounded differences
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Topics in Optimal Transportation
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Sharp maximal inequalities for conditionally symmetric martingales and Brownian motion
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The Concentration of Measure Phenomenon
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Concentration Inequalities
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Probability and Random Processes
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Information theoretic inequalities
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Approximation theory of output statistics
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Simulation of random processes and rate-distortion theory
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Expander codes
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The empirical distribution of good codes
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Which codes have cycle-free Tanner graphs?
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A short proof of the "concavity of entropy power"
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The capacity of low-density parity-check codes under message-passing decoding
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Concentration of magnetization for linear block codes
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Refined bounds on the empirical distribution of good channel codes via concentration inequalities
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Improved lower bounds on the total variation distance and relative entropy for the Poisson approximation
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The PAPR Problem in OFDM Transmission: New Directions for a Long-Lasting Problem
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Low-density parity-check codes
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Broadcast channels
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Random coding theorem for broadcast channels with degraded components
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A theorem on the entropy of certain binary sequences and applications--II
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Process definitions of distortion-rate functions and source coding theorems
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Variations on the Gallager bounds, connections, and applications
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Upper bounds on the statistical distribution of the crest-factor in OFDM transmission
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Generalized bounds on the crest-factor distribution of OFDM signals with applications to code design
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Maxwell Construction: The Hidden Bridge Between Iterative and Maximuma PosterioriDecoding
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Finite-Length Scaling for Iteratively Decoded LDPC Ensembles
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An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
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State Amplification
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The Information Lost in Erasures
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Logarithmic Sobolev Inequalities for Information Measures
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Sharp Bounds for Optimal Decoding of Low-Density Parity-Check Codes
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Channel Coding Rate in the Finite Blocklength Regime
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Mismatched Estimation and Relative Entropy
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Tight Bounds on the Capacity of Binary Input Random CDMA Systems
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Achievable Rates for Nonlinear Volterra Channels
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Probability Estimation in the Rare-Events Regime
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The Entropy Per Coordinate of a Random Vector is Highly Constrained Under Convexity Conditions
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Fixed-Length Lossy Compression in the Finite Blocklength Regime
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Transportation cost-information inequalities and applications to random dynamical systems and diffusions
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Measure concentration for Euclidean distance in the case of dependent random variables
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Measure concentration for Euclidean distance in the case of dependent random variables
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A characterization of dimension free concentration in terms of transportation inequalities
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Applications of Stein’s method for concentration inequalities
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Concentration of the information in data with log-concave distributions
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Fundamentals of Stein’s method
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A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
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Concentration of measure inequalities for Markov chains and $\Phi$-mixing processes
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A General Class of Exponential Inequalities for Martingales and Ratios
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Information inequalities and concentration of measure
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Bounding $\bar{d}$-distance by informational divergence: a method to prove measure concentration
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A new look at independence
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Concentration inequalities using the entropy method
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A Generalization of Ornstein's $\bar d$ Distance with Applications to Information Theory
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The Jackknife Estimate of Variance
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Measure Concentration for Compound Poisson Distributions
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Applications of size biased couplings for concentration of measures
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Freedman's inequality for matrix martingales
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Large deviation exponential inequalities for supermartingales
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On the concentration of the missing mass
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On McDiarmid's concentration inequality
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A Weak Convergence Approach to the Theory of Large Deviations
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Weighted sums of certain dependent random variables
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Thermodynamics and concentration
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Lossless Data Compression at Finite Blocklengths
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Low-Density Parity-Check Codes

What points at this work

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

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Stackelberg games, optimal pricing and application to electricity markets
inferred← citeshttps://doi.org/10.70675/fb3107f5z8cc0z45adzbbb0z72057aab4b87openalex-snapshot
Mathematics of statistical sequential decision making : concentration, risk-awareness and modelling in stochastic bandits, with applications to bariatric surgery
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