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A theory of concepts and their combinations II: A Hilbert space representation
concept combination conjunction context entanglement exemplar Hilbert space mathematical model prototype potentiality quantum representation state structure
2015/8/3
The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogona...
Path Integral Control by Reproducing Kernel Hilbert Space Embedding
Path Integral Control Reproducing Kernel Hilbert Space Embedding
2012/9/18
We present an embedding of stochastic optimal control problems, of the so called path integral form, into reproducing kernel Hilbert spaces. Using consistent, sample based estimates of the embedding l...
Interpolation error operator for Hilbert space valued stationary stochastic processes
Interpolation error operator Hilbert space stationary stochastic processes
2009/9/24
In the paper a characterization of interpolation error
operator for Hilbert space valued staiionary stochastic processes is
obtained.
Statistical characterizations of Gaussian measures on a Hilbert space
Statistical characterizations Gaussian measures a Hilbert space
2009/9/24
Statistical characterizations of Gaussian measures on a Hilbert space。
On the rate of convergence in the random central limit theorem in Hilbert space
the rate of convergence the random central limit theorem Hilbert space
2009/9/23
On the rate of convergence in the random central limit theorem in Hilbert space。
Equivalence of distrubutions of some Ornstein-Uhlenbeck processes taking values in Hilbert space
Equivalence of distrubutions some Ornstein-Uhlenbeck processes Hilbert space
2009/9/23
Sufficient conditions for equivalence of distributions in
LZ(O,T , H) of two Ornstein-Uhlenbeck processes taking values in
a Hilbert space H are given. The Girsanov theorem and some facts in
the th...
Hilbert space valued traces and multiple Stratonovich integrals with statistical applications
Hilbert space valued traces multiple Stratonovich integrals statistical applications
2009/9/22
Multiple Stratonovich integrals (MSI) with respect to
the Wiener process and the Brownian bridge are defined for a class of
kernels having k-th order t-traces which are, in general different from
t...