Results 21 to 30 of about 782 (150)
An infinite-dimensional Christoffel function and detection of abnormal trajectories [PDF]
, 2023 We introduce an infinite-dimensional version of the Christoffel function, where now (i) its argument lies in a Hilbert space of functions, and (ii) its associated underlying measure is supported on a compact subset of the Hilbert space.
Henrion, Didier, Lasserre, Jean-Bernard
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Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
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Elliptic integrals and the Schwarz-Christoffel transformation [PDF]
, 1997 The real elliptic integrals of the first and second kind in Jacobi's normal form are computed efficiently, using the convolution number in conjunction with the method of Frobenius.
Hassenpflug, W.C.
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PLoS ONE, 2019 When non-linear models are fitted to experimental data, parameter estimates can be poorly constrained albeit being identifiable in principle. This means that along certain paths in parameter space, the log-likelihood does not exceed a given statistical ...
Daniel Lill, Jens Timmer, Daniel Kaschek
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Analyze the multi-wire magnetic field of HGMS by semi-analytical method
Results in Physics, 2018 In this paper, a semi-analytical method (SAM) to analyze the magnetic field distribution in High-Gradient Magnetic Separation (HGMS) was promoted, constituting a combination of conform mapping (includes Schwarz-Christoffel (S-C) mapping) and finite ...
Mei Yuan +3 more
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Nyström landmark sampling and regularized Christoffel functions [PDF]
, 2022 More details in the proofs. Typos correctedSelecting diverse and important items, called landmarks, from a large set is a problem of interest in machine learning. As a specific example, in order to deal with large training sets, kernel methods often rely
Fanuel, Michaël +2 more
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Applied Sciences, 2018 The partial-wave method takes advantage of the Christoffel equation’s generality to represent waves within a waveguide. More specifically, the partial-wave method is well known for its usefulness when calculating dispersion curves for multilayered ...
Christopher Hakoda, Cliff J. Lissenden
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Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory
, 2014 The investigation of universality questions for local eigenvalue statistics continues to be a driving force in the theory of Random Matrices. For Matrix Models [53] the method of orthogonal polynomials can be used and the asymptotics of the Christoffel-Darboux kernel [59] become the key for studying universality.
Kriecherbauer, Thomas +3 more
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A more accurate algorithm for computing the Christoffel transformation [PDF]
, 2007 A monic Jacobi matrix is a tridiagonal matrix which contains the parameters of the three-term recurrence relation satisfied by the sequence of monic polynomials orthogonal with respect to a measure.
Dopico, Froilán M. +3 more
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Almost Global Stabilization of Curvature-Nullifiable Mechanical Systems via Pure Mechanical Feedback
Applied SciencesMechanical control systems structure, derived from Euler–Lagrange dynamics, is directly tied to physically meaningful coordinates such as joint angles, positions, and velocities. This work investigates when a mechanical control system can be transformed,
Marta Drążkowska, Marcin Nowicki
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