Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Elements of information theory
Elements of information theory
The nature of statistical learning theory
The nature of statistical learning theory
Foundations of Quantization for Probability Distributions
Foundations of Quantization for Probability Distributions
Optimal Sequential Vector Quantization of Markov Sources
SIAM Journal on Control and Optimization
Nonlinear estimation for a class of systems
IEEE Transactions on Information Theory
On the training distortion of vector quantizers
IEEE Transactions on Information Theory
Quantization and the method of -means
IEEE Transactions on Information Theory
Codecell convexity in optimal entropy-constrained vector quantization
IEEE Transactions on Information Theory
Nonparametric Estimation of Conditional Distributions
IEEE Transactions on Information Theory
On optimal policies for control and estimation over a Gaussian relay channel
Automatica (Journal of IFAC)
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This paper studies the optimization of observation channels (stochastic kernels) in partially observed stochastic control problems. In particular, existence and continuity properties are investigated, mostly (but not exclusively) concentrating on the single-stage case. Continuity properties of the optimal cost in channels are explored under total variation, setwise convergence, and weak convergence. Sufficient conditions for compactness of a class of channels under total variation and setwise convergence are presented, and applications to quantization are explored.