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Localized principal components of natural images-an analytic solution

Network: Computation in Neural Systems, 1994
Summary: The structure of receptive fields in the visual cortex is believed to be shaped by unsupervised learning. A simple variant of unsupervised learning is the extraction of principal components. We derive analytically the form of the principal components of natural images.
Liu, Yong, Shouval, Harel
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On the Solutions of Two-Extended Principal Conformal Toda Theory

Annals of Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chao, Liu, Hou, Boyu
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Principal axes and principal moments of inertia from recent satellite gravity field solutions

2002
The Earth’s principal axes and principal moments of inertia were determined from the 2nd degree harmonic coefficients of recent Earth gravity field models and several values of the dynamical ellipticity. Closed exact formulae for the estimation of these parameters are developed based upon the exact analytical solution of eigenvalue-eigenvector problem ...
Marchenko, A., Schwintzer, P.
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The principal variables of cryopreservation: solutions, temperatures, and rate changes

Fertility and Sterility, 2011
To describe several fundamental variables that influence ultimate survival of oocytes and embryos when they are cryopreserved.The literature describing fundamental and applied aspects of cryobiological variables that determine the responses of oocytes and embryos has been reviewed.When oocytes and embryos are to be cryopreserved, they are suspended in ...
S P, Leibo, Thomas B, Pool
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Error bounds for suboptimal solutions to kernel principal component analysis

Optimization Letters, 2009
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Giorgio Gnecco, Marcello Sanguineti
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On the principal and strictly particular solutions to infinite systems

Computational Mathematics and Mathematical Physics, 2016
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Ivanova, O. F.   +2 more
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Solutions to Principal-Agent Problems in Firms

2005
There are many settings in which one economic actor (the principal) delegates authority to an agent to act on her behalf .T h ep r imary reason for doing so is that the agent has an advantage in terms of expertise or information. This informational advantage, or information asymmetry, poses a problem for the principal—how can th ep rincipa lb e sure ...
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Existence Theorems and Estimates of Solutions for Equations of Principal Resonance

Journal of Mathematical Sciences, 2014
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A solution space principal component based adaptive filter

2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004
This paper introduces a new type of adaptive filter called PCP, principal component proportionate normalized least mean squares. It is an extension of PNLMS (proportionate normalized least mean squares), an adaptive filter that has been shown to provide exceptionally fast convergence and tracking when the underlying system parameters are sparse (as in ...
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Bounded solutions of differential inclusions with homogeneous principal parts

Izvestiya: Mathematics, 2000
In the first part of the paper, the author establishes formulae for the calculation of the index of the zero singular point of a homogeneous multivalued vector field. These formulae can be applied to the study of inclusions of the type \(0 \in F(x)\) for obtaining, for example, upper and lower estimates for the number of solutions of this inclusion. In
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