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36374.
reliable interpolation of multivariate scattered data
 
Summary
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Located in Package: liblip2t64 Package: liblip-dev
36375.
Lip interpolates scattered multivariate data with a Lipschitz function.
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36376.
Methods of interpolation of multivariate scattered data are scarce. The programming library Lip implements a new method by G. Beliakov, which relies on building reliable lower and upper approximations of Lipschitz functions. If we assume that the function that we want to interpolate is Lipschitz-continuous, we can provide tight bounds on its values at any point, in the worse case scenario. Thus we obtain the interpolant, which approximates the unknown Lipschitz function f best in the worst case scenario. This translates into reliable learning of f, something that other methods cannot do (the error of approximation of most other methods can be infinitely large, depending on what f generated the data).
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36379.
It is easily interpreted as the largest slope of the function f. f needs not be differentiable.
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36380.
The interpolant based on the Lipschitz properties of the function is piecewise linear, it possesses many useful properties, and it is shown that it is the best possible approximation to f in the worst case scenario. The value of the interpolant depends on the data points in the immediate neigbourhood of the point in question, and in this sense, the method is similar to the natural neighbour interpolation.
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36381.
There are two methods of construction and evaluation of the interpolant. The explicit method processes all data points to find the neighbours of the point in question. It does not require any preprocessing, but the evaluation of the interpolant has linear complexity O(K) in terms of the number of data.
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36382.
"Fast" method requires substantial preprocessing in the case of more than 3-4 variables, but then it provides O(log K) evaluation time, and thus is suitable for very large data sets (K of order of 500000) and modest dimension (n=1-4). For larger dimension, explicit method becomes practically more efficient. The class library Lip implements both fast and explicit methods.
 
Description
(no translation yet)
Located in Package: liblip2t64 Package: liblip-dev
36386.
List::Compare lets you compare elements between lists. This module uses the Carp module which is part of the standard Perl distribution. Other than that, there are no module dependencies in this version of List::Compare.
 
Description
(no translation yet)
Located in Package: liblist-compare-perl
36387.
Perl module to generate more sophisticated lists than just $a..$b
 
Summary
(no translation yet)
Located in Package: liblist-maker-perl
36388.
The List::Maker module hijacks Perl's built-in file globbing syntax (< *.pl > and glob '*.pl') and retargets it at list creation.
 
Description
(no translation yet)
Located in Package: liblist-maker-perl
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