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Fisher information of orthogonal polynomials I
, 708
"... Following the lead of J. Dehesa and his collaborators, we compute the Fisher information of the Meixner-Pollaczek, Meixner, Krawtchouk and Charlier polynomials. 1 ..."
Abstract
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Cited by 1 (0 self)
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Following the lead of J. Dehesa and his collaborators, we compute the Fisher information of the Meixner-Pollaczek, Meixner, Krawtchouk and Charlier polynomials. 1
Mutual information, Fisher information and population coding
- Neural Computation
, 1998
"... In the context of parameter estimation and model selection, it is only quite recently that a direct link between the Fisher information and information theoretic quantities has been exhibited. We give an interpretation of this link within the standard framework of information theory. We show that in ..."
Abstract
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Cited by 96 (3 self)
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In the context of parameter estimation and model selection, it is only quite recently that a direct link between the Fisher information and information theoretic quantities has been exhibited. We give an interpretation of this link within the standard framework of information theory. We show
Financial Probabilities from Fisher Information
, 2008
"... We present a novel synthesis of Fisher information and asset pricing theory that yields a practical method for reconstructing the probability density implicit in security prices. The Fisher information approach to these inverse problems transforms the search for a probability density into the soluti ..."
Abstract
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Cited by 1 (0 self)
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We present a novel synthesis of Fisher information and asset pricing theory that yields a practical method for reconstructing the probability density implicit in security prices. The Fisher information approach to these inverse problems transforms the search for a probability density
FREE FISHER INFORMATION FOR NON-TRACIAL
, 2003
"... We extend Voiculescu’s microstates-free definitions of free Fisher information and free entropy to the non-tracial frame-work. We explain the connection between these quantities and free entropy with respect to certain completely positive maps acting on the core of the non-tracial non-commutative pr ..."
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We extend Voiculescu’s microstates-free definitions of free Fisher information and free entropy to the non-tracial frame-work. We explain the connection between these quantities and free entropy with respect to certain completely positive maps acting on the core of the non-tracial non
intelligence: The Fisher information as an
, 2014
"... Generating functionals for computational ..."
The Fisher Information Game For Optimal Design Of
- in Proc. IEEE Int. Conf. Image Processing 2001
, 2001
"... This paper develops an optimization methodology for designing and embedding synchronization patterns in images, for watermarking applications in which the host image is not available the decoder. Optimality is in the sense of a certain Fisher information game between the embedder and the attacker. A ..."
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This paper develops an optimization methodology for designing and embedding synchronization patterns in images, for watermarking applications in which the host image is not available the decoder. Optimality is in the sense of a certain Fisher information game between the embedder and the attacker
Quantum properties of classical Fisher information
- Phys. Rev. A
"... The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint ..."
Abstract
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Cited by 11 (0 self)
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The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint
Fisher information inequalities and the central limit theorem
- Probab. Theory Related Fields
"... We give conditions for an O(1/n) rate of convergence of Fisher information and relative entropy in the Central Limit Theorem. We use the theory of projections in L 2 spaces and Poincaré inequalities, to provide a better understanding of the decrease in Fisher Information implied by results of Barron ..."
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Cited by 49 (5 self)
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We give conditions for an O(1/n) rate of convergence of Fisher information and relative entropy in the Central Limit Theorem. We use the theory of projections in L 2 spaces and Poincaré inequalities, to provide a better understanding of the decrease in Fisher Information implied by results
Exergy and Fisher Information as ecological indices
"... Ecological indices are used to provide summary information about a particular aspect of ecosystem behavior. Many such indices have been proposed and here we investigate two: exergy and Fisher Information. Exergy, a thermodynamically based index, is a measure of the maximum amount of useable work tha ..."
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Ecological indices are used to provide summary information about a particular aspect of ecosystem behavior. Many such indices have been proposed and here we investigate two: exergy and Fisher Information. Exergy, a thermodynamically based index, is a measure of the maximum amount of useable work
Results 11 - 20
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