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optimal entropy-constrained scalar quantizer

High-Resolution Scalar Quantization with Rényi Entropy Constraint

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-constrained scalar quantization with a lossy-compressed bit

Entropy-constrained scalar quantization with a lossy-compressed bit

... various quantizer optimization algorithms [3–5], the expressions are only known when X follows an exponential [4] or uniform [6] ...uniform quantizer is optimal for a broad class of source ...

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Entropy Density and Mismatch in High-Rate Scalar Quantization with Rényi Entropy Constraint

Entropy Density and Mismatch in High-Rate Scalar Quantization with Rényi Entropy Constraint

... R´enyi entropy constraint of order α ∈ (0, 1). The concept of a quantizer point density is a problematic one for (R´enyi) entropy-constrained quantization since (near) optimal ...

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Low-resolution scalar quantization for Gaussian sources and squared error

Low-resolution scalar quantization for Gaussian sources and squared error

... of entropy-constrained scalar quantization in the low-rate ...output entropy of any scalar quantizer with mean- squared error D or ...the optimal rate-distortion per- ...

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Risk-Constrained Reinforcement Learning with Percentile Risk Criteria

Risk-Constrained Reinforcement Learning with Percentile Risk Criteria

... In many sequential decision-making problems one is interested in minimizing an expected cumula- tive cost while taking into account risk, i.e., increased awareness of events of small probability and high consequences. ...

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Algebraic Techniques in Coding Theory: Entropy Vectors, Frames, and Constrained Coding

Algebraic Techniques in Coding Theory: Entropy Vectors, Frames, and Constrained Coding

... The problem of constructing error-correcting codes with constrained encoding has been addressed by a variety of authors. Dau et al. [28–30] considered the problem of finding linear MDS codes with ...

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Pseudospectral Optimal Control of Active Magnetic Bearing Systems

Pseudospectral Optimal Control of Active Magnetic Bearing Systems

... On the other hand, the direct methods trans- form the optimal control problem into a nonlinear programming problem (NLP). Direct methods have the advantage that the rst-order necessary conditions do not need to be ...

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Papers in Modern Economic Growth Theory

Papers in Modern Economic Growth Theory

... the constrained planner’s dynamic problem is, in general, infinite dimsensional — the planner controls a policy function to guide a wealth distribution through ...the constrained planner’s problem fails to ...

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Comparison of PID methods for networked control systems

Comparison of PID methods for networked control systems

... In Fig. 10 the closed-loop response for the system when no time delays are presented. The simulation shows that the control action of the optimal immune PID brings the system smoothly to the set point with no ...

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Robust Path Planning and Feedback Design under Stochastic Uncertainty

Robust Path Planning and Feedback Design under Stochastic Uncertainty

... disturbances, are most naturally characterized using stochastic models. 5 With stochastic uncertainty, it is typically not possible to guarantee mission success, defined as reaching the goal region and avoiding all ...

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New approaches to describing admissibility of solutions
          of scalar conservation laws with discontinuous flux*,**

New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux*,**

... there exist infinitely many L 1 -contractive “entropy solution” semigroups for (1),(4). (NU) In practice, each of these solvers can be characterized by some distinctive admissibility condition imposed on ...

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Privacy  Amplification  with  Asymptotically  Optimal  Entropy  Loss

Privacy Amplification with Asymptotically Optimal Entropy Loss

... the entropy in w does not get reduced by too much, and implies the desired bound on the probability that Eve is successful in a single fresh random ...of entropy more than what would be needed otherwise, we ...

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Numerical methods for conservation laws and related equations. Siddhartha Mishra

Numerical methods for conservation laws and related equations. Siddhartha Mishra

... Next, we repeat the experiments with the rarefaction initial data (4.17). The error vs. number of mesh points and error vs. run time is plotted in Figure 4.12 (c) and (d), respectively. The figures show that the Roe ...

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Constrained Calculus of Variations and Geometric Optimal Control Theory

Constrained Calculus of Variations and Geometric Optimal Control Theory

... The whole topic has been extensively studied since the beginning of the twen- tieth century and has been recently revived by its close links with optimal control theory. It is actually of great interest because of ...

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Iterative Solution of Mesh Constrained Optimal Control Problems with Two Level Mesh Approximations of Parabolic State Equation

Iterative Solution of Mesh Constrained Optimal Control Problems with Two Level Mesh Approximations of Parabolic State Equation

... linear-quadratical optimal control problem of a system go- verned by parabolic equation with distributed in right-hand side control and control and state ...the optimal control ...

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Foliation by area constrained Willmore spheres near a non degenerate critical point of the scalar curvature

Foliation by area constrained Willmore spheres near a non degenerate critical point of the scalar curvature

... is foliated by area-constrained Willmore spheres. Such a foliation is unique among foliations by area-constrained Willmore spheres having Willmore energy less than 32π, moreover it is regular in the sense ...

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The elusive welfare economics of price stability as a monetary policy objective: why New Keynesian central bankers should validate core inflation

The elusive welfare economics of price stability as a monetary policy objective: why New Keynesian central bankers should validate core inflation

... the optimal rate of in‡ation depend crucially on the details of how menu costs are ...the optimal in‡ation rate of the cost of living index closer to ...

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Would emerging market pension funds benefit from international diversification: investigating wealth accumulations for pension participants

Would emerging market pension funds benefit from international diversification: investigating wealth accumulations for pension participants

... the optimal portfolio, we use a utility-based approach which assesses how pension fund participants evaluate portfolio performance while taking into account their risk ...show optimal asset allocation and ...

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Energy-Constrained Optimal Quantization for Wireless Sensor Networks

Energy-Constrained Optimal Quantization for Wireless Sensor Networks

... pursued optimal quantization at sensor nodes to effect optimal reconstruction at the fusion ...an optimal scheme for energy allocation across quantization ...the optimal energy allocation ...

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A linear programming approach to constrained nonstationary infinite horizon Markov decision processes

A linear programming approach to constrained nonstationary infinite horizon Markov decision processes

... One of the main objectives in this paper is to study extreme points of (P), the LP formulation of constrained nonstationary MDPs. The definition of an extreme point of a convex set is a point in the set that ...

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