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The laser beams were attenuated using a half wavelength plate and expanded using a custom telescope that could be configured for both confocal illumination (collimated beam output) or a converging beam at the objective back focal plane.
A Newton-Raphson approach is known to have quadratic convergence, and to always converge for a convex objective function.
Today we have a converged single device.
Cisco UCS is a converged infrastructure play.
On average, HATA required 5.3 ± 1.6 min to converge to a weighted objective function value smaller than 1 × 10-10, which equals the non-weighted sum of squares less than 2 × 10-18.
The indications provided above appear to converge more towards an objective application of the method rather than to a solid rational basis.
Third, the piES algorithm converges to a lower mean objective value across all runs than pLSA.
The wICP algorithm that has been proven to converge monotonically to a local minimum, allows the optimization of the component position and orientation without the need to calculate a gradient of an objective function.
The technique adaptively converges to a local maximum of a performance objective by using the gradient ascent method.
Lastly, in limited initial testing, we found the optimizer was also more likely to converge to a minimum (as indicated by a positive definite Hessian matrix) when using a χ2 objective function compared to least squares.
A worthy objective, surely.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com