entropy-constrained quantization
Optimal vector quantization in terms of Wasserstein distance
... memory-size constrained vector quantization induces a quantization error which is equal to a Wasserstein ...(Shannon-)entropy constrained quantization error a proof for a similar ...
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Error bounds for high-resolution quantization with Rényi - α - entropy constraints
... mass-constrained quantization (α = ∞) the optimal quantization error can be computed in terms of a minimal moment on a ball ...optimal quantization error for α ∈ [1 + r/d, ∞] and large ...
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High-Resolution Scalar Quantization with Rényi Entropy Constraint
... R´enyi entropy of a quantizer must be si- multaneously controlled, a difficulty not encountered in fixed- rate ...Zador’s entropy-constrained quantization result in [11] cannot be used since ...
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Entropy Density and Mismatch in High-Rate Scalar Quantization with Rényi Entropy Constraint
... for entropy-constrained quantization since for sources with a density, at any rate R > 0 there exist near-optimal quantizers that have an arbitrarily large number of codepoints contained in a ...
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Optimal quantization for the one-dimensional uniform distribution with Rényi -α-entropy constraints
... Shannon entropy in a canonical ...Insofar, quantization with entropy parameter α > 0 is a natural generalization of classical memory-size constrained quantization (α = ...
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A Color Image Quantization Algorithm Based on Particle Swarm Optimization
... Xiang [31] proposed a color image quantization algorithm that minimizes the maximum distance between color pixels in each cluster (i.e. the intra-cluster distance). The algorithm starts by assigning all the pixels ...
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Quantization of Planck's Constant
... This does not necessarily mean that there does not exist a strict deformation quantization. For instance, if some nonzero real multiple of Ω is integral, then there is really no problem. We can still quantize H ...
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Multipath estimation based on modified ε-constrained rank-based differential evolution with minimum error entropy
... error entropy (MEE) criterion under Gaussian or non-Gaussian ...a constrained optimization problem. A modified ε -constrained rank-based differential evolution ( ε RDE) algorithm is developed to find ...
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Quantum Logic and Geometric Quantization
... We assume that M is a phase space and an Hilbert space yielded by a quantization scheme. In this paper we consider the set of all “experimental propositions” of M and we look for a model of quantum logic in ...
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Introduction to optimal vector quantization and its applications for numerics
... Vector Quantization algorithm, nu´res dynamiques, etc), it has been widely implemented for years in the communities of Artificial Neural Networks, Data Mining and, more recently, Machine Learning, etc, as a ...
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Distributed transform coding via source-splitting
... For block WZ-code designs, the transforms and the bit allocations are found by RD-WZQ model (Section 3.1.1) and WZ quantizers are implemented using CEC- TCQ followed by binary SW coding. More specifically, the rate found ...
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Ban
... called entropy. We demonstrate that computing the entropy of a Fibonacci tree-shift of finite type is equivalent to studying a nonlinear recursive system and reveal an algorithm for the ...the ...
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Monotonic Estimation for Probability Distribution and Multivariate Risk Scales by Constrained Minimum Generalized Cross Entropy
... extension to the maximum likelihood estimation for multinomial probabilities. Given a probability distribution {𝒓 𝒊 } 𝒊=𝟏 𝒌 , we show in this paper that the monotonic estimates {𝒑 𝒊 } 𝒊=𝟏 𝒌 for the probability ...
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Exergy concept and exergetic analysis: review
... entropy and exergy concepts come from thermodynamics and are applicable to all fields of science and engineering. Therefore, this article intends to provide background for better understanding of these concepts ...
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Applications of Quantum Physics on Resistivity, Dielectricity, Giant Magneto Resistance, Hall Effect and Conductance
... charge quantization with newly developed theory is coined to look into the shape of eigenfunctions, determine the energy eigenvalues and validate the quantum scattering ...charge quantization, on ...
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Wavelet Scalar Quantization
... -----------------------------------------ABSTRACT----------------------------------------------------- Fingerprints are today the most widely used biometric features for personal identification. With the increasing usage ...
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Chapter07_1 (2).ppt
... called entropy, a quantitative measure of microscopic disorder for a ...system. Entropy is a measure of energy that is no longer available to perform useful work within the current ...of entropy and, ...
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Region Based Satellite Image Segmentation Using JSEG Algorithm
... In order to perform Jpeg segmentation, it is necessary to calculate the J-value of the query image. Here the set of all points of quantized image is defined by Z, then z = (x, y) with z ∈ Z and with m being the average ...
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Abstract In order to improve the picture quality, the region of interest within video sequence should be
... a quantization algorithm to reduce the volume of data, hence ...of quantization algorithm are scalar and vector quantizers ...with quantization step-sizes ranging from 1 to 32 ...52 ...
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Realization of Ternary Sigma-Delta Modulated Arithmetic Processing Modules
... (ii) Now, it is necessary to determine an expression for the quantization noise corresponding to the truncation introduced by the ternary adder. We denote the truncation error signal as p(k). This signal will only ...
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