Results 201 to 210 of about 24,751 (244)

Kernels, regularization and differential equations

Pattern Recognition, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steinke, F., Schölkopf, B.
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Item Response Theory Observed-Score Kernel Equating

Psychometrika, 2017
Item response theory (IRT) observed-score kernel equating is introduced for the non-equivalent groups with anchor test equating design using either chain equating or post-stratification equating. The equating function is treated in a multivariate setting and the asymptotic covariance matrices of IRT observed-score kernel equating functions are derived.
Andersson, Björn, Wiberg, Marie
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Equating Through Alternative Kernels

2009
The need for test equating arises when two or more test forms measure the same construct and can yield different scores for the same examinee. The most common example involves multiple forms of a test within a testing program, as opposed to a single testing instrument.
Yi-Hsuan Lee, Alina A. von Davier
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Integral equations with Hilbert kernel

Journal of Contemporary Mathematical Analysis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamalyan, A. G., Stepanyan, A. G., Topikyan, G. M.   +2 more
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Integral Equations with Logarithmic Kernels

IMA Journal of Applied Mathematics, 1989
Singular integral equations with logarithmic kernels arise in analysis and in many two-dimensional problems in mathematical physics, mechanics and engineering such as potential and scattering theories.
Ricardo Estrada, Ram P. Kanwal
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NONLINEAR VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS

Bulletin of the London Mathematical Society, 2003
Some new results concerning the existence and uniqueness of nontrivial solutions to the title equations are presented.
Mydlarczyk, W., Okrasiński, W.
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Some Integral Equations with Nonsymmetric Separable Kernels

SIAM Journal on Applied Mathematics, 1971
It is shown that the eigenvalues and eigenfunctions for the class of “separable” or “semidegenerate” kernels can be determined from the solution of a linear differential equation, which is usually more amenable to machine solution. The theory is extended to solve a simultaneous diagonalization problem for two separable kernels.
Kailath, Thomas, Anderson, Brian D. O.
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Associated differential equations and their bergman kernels

Complex Variables, Theory and Application: An International Journal, 1983
To each formally-hyperbolic differential equation one can associate a differential equation of the same type by means of a suitable differential operator S of first order. A necessary and sufficient condition for such an operator is derived. For special cases an explicit characterisation of S is possible. Finally we obtain a construction method for the
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Reproducing kernels and Riccati equations.

2001
Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
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A Volterra Equation with a Nonconvolution Kernel

SIAM Journal on Mathematical Analysis, 1977
This paper is concerned with the asymptotic behavior of solutions of the Volterra integral equation \[x(t) + \int_0^t {a(t,\tau )g(x(\tau ))d\tau = f(t)} ,\quad 0 \leqq t < \infty \] If $x(t)$ is a solution of this equation, the limiting values of $g(x(t))$ are given under various sets of hypotheses on the kernel $a(t,\tau )$ and the functions $g(t ...
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