liblip2_2.0.0-1.2_i386.deb


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Description

liblip2 - reliable interpolation of multivariate scattered data

Distribution: Debian 8 (Jessie)
Repository: Debian Main i386
Package name: liblip2
Package version: 2.0.0
Package release: 1.2
Package architecture: i386
Package type: deb
Installed size: 413 B
Download size: 281.24 KB
Official Mirror: ftp.br.debian.org
Lip interpolates scattered multivariate data with a Lipschitz function. 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). Lipschitz condition implies that the rate of change of the function is bounded: |f(x)-f(y)|<M||x-y||. It is easily interpreted as the largest slope of the function f. f needs not be differentiable. 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. 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. "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.

Alternatives

    Download

    Source package: liblip

    Install Howto

    1. Update the package index:
      # sudo apt-get update
    2. Install liblip2 deb package:
      # sudo apt-get install liblip2

    Files

    • /usr/lib/lip/liblip.so.2
    • /usr/lib/lip/liblip.so.2.0.0
    • /usr/share/doc/liblip2/changelog.Debian.gz
    • /usr/share/doc/liblip2/copyright
    • /usr/share/doc/liblip2/liblip2.pdf
    • /usr/share/doc/liblip2/examples/exampleprocedural.c.gz
    • /usr/share/doc/liblip2/examples/makefile.gz

    Changelog

    2014-06-05 - Chen Baozi <baozich@gmail.com> liblip (2.0.0-1.2) unstable; urgency=low * Non-maintainer upload. * Add autotools-dev for updated config.{sub,guess} (Closes: #534817)

    2008-01-15 - Luca Falavigna <dktrkranz@ubuntu.com> liblip (2.0.0-1.1) unstable; urgency=low * Non-maintainer upload. * debian/rules: - Fix bashisms (Closes: #378597). - Fix debian-rules-ignores-make-clean-error lintian warnings. * debian/control: - Move to new Homepage field. - Use ${binary:Version} instead of deprecated ${Source-Version}, fix substvar-source-version-is-deprecated lintian warning. * debian/shlibs: - Move to liblip2, fix shlibs-declares-dependency-on-other-package lintian warning.

    2006-07-16 - Juan Esteban Monsalve Tobon <esteban@v7w.com> liblip (2.0.0-1) unstable; urgency=low * New upstream release.

    2005-04-10 - Juan Esteban Monsalve Tobon <esteban@v7w.com> liblip (1.2-3) unstable; urgency=low * New maintainer.

    2005-02-18 - Anibal Monsalve Salazar <anibal@debian.org> liblip (1.2-2) unstable; urgency=low * Fixed "FTBFS with gcc-3.4: 'data' undeclared" (Closes: #280289). Patch by Andreas Jochens <aj@andaco.de>. * New maintainer's email address.

    2004-08-26 - Anibal Monsalve Salazar <A.Monsalve.Salazar@IEEE.org> liblip (1.2-1) unstable; urgency=low * New upstream release.

    2004-05-20 - Anibal Monsalve Salazar <A.Monsalve.Salazar@IEEE.org> liblip (1.0-1) unstable; urgency=low * Initial release (Closes: #249394).

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