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 Open-Source — ultimaker ultimaker (Ultimaker) / debian-backup — Project
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Debian logo liblip2  2.0.0-1.2

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One-liner (summary)

reliable interpolation of multivariate scattered data

Description

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.

License

Unknown

Size

276.7 KB

Downloads

1

Tags

debian/buster deb arm64 main latest

Status  Completed
Checksum (MD5) baf71058d48029ca5e7091544c00e825
Checksum (SHA-1) 84977befb71e263e43f63bfa1b12fa97f2a28fa6
Checksum (SHA-256) 34c205f86d1935d2b65ef7c3f03d97c6fb3269493661e38f40bfe21af3e4ca7e
Checksum (SHA-512) 1e04f0835c87125e0e88642b71af53c733b8b92bf1f566ca7982884c3b91c46da5…
GPG Signature
Download
GPG Fingerprint c0a114330029b468b1146f70c334efcb2c4f9be3
Distribution debian/buster - Debian - 10 (Buster)
Storage Region  Dublin, Ireland
Type  Binary (contains binaries and binary artifacts)
Uploaded At 9 months, 3 weeks ago
Uploaded By alex-borro
Slug Id liblip2_200-12_arm64deb-qmrg
Unique Id xeQV53W54l8G
Version (Raw) 2.0.0-1.2
Version (Parsed)
  • Major: 2
  • Minor: 0
  • Patch: 0
  • Pre (Str): (empty)
  • Pre (Num Array): 1.2
  • Type: SemVer (Strict)
  extended metadata
Homepage http://www.deakin.edu.au/~gleb/lip.html
Installed Size 446.0 KB
Maintainer Juan Esteban Monsalve Tobon <esteban@v7w.com>
Priority optional
Section libs
Source liblip
pkg liblip2_2.0.0-1.2_arm64.deb 1
276.7 KB 		md5 sha1 sha256 sha512
Package Contents (liblip2_2.0.0-1.2_arm64.deb)
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This package has 15 files/directories.

Dependencies

3

Checksum (md5)

af82c4953d49dcacd392a94b9f8f77ba

Depends
libc6 >=2.17
Depends
libgcc1 >=1:4.7
Depends
libstdc++6 >=4.1.1
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These instructions assume you have setup the repository first (or read it).

To install/use liblip2 @ version 2.0.0-1.2 ...

To install packages, you can quickly setup the repository automatically (recommended): 

curl -1sLf \
  'https://dl.cloudsmith.io/public/ultimaker/debian-backup/setup.deb.sh' \
  | sudo -E bash

If you need to force a specific distribution, release/version, architecture, or component (if supported), you can also do that (e.g. if your system is compatible but not identical): 

curl -1sLf \
  'https://dl.cloudsmith.io/public/ultimaker/debian-backup/setup.deb.sh' \
  | sudo -E distro=debian codename=buster arch=ARCH component=COMPONENT bash

or ... you can manually configure it yourself before installing packages: 

apt-get install -y debian-keyring  # debian only
apt-get install -y debian-archive-keyring  # debian only
apt-get install -y apt-transport-https
# For Debian Stretch, Ubuntu 16.04 and later
keyring_location=/usr/share/keyrings/ultimaker-debian-backup-archive-keyring.gpg
# For Debian Jessie, Ubuntu 15.10 and earlier
keyring_location=/etc/apt/trusted.gpg.d/ultimaker-debian-backup.gpg
curl -1sLf 'https://dl.cloudsmith.io/public/ultimaker/debian-backup/gpg.C334EFCB2C4F9BE3.key' |  gpg --dearmor >> ${keyring_location}
curl -1sLf 'https://dl.cloudsmith.io/public/ultimaker/debian-backup/config.deb.txt?distro=debian&codename=buster&component=main' > /etc/apt/sources.list.d/ultimaker-debian-backup.list
sudo chmod 644 ${keyring_location}
sudo chmod 644 /etc/apt/sources.list.d/ultimaker-debian-backup.list
apt-get update
sudo apt-get install liblip2=2.0.0-1.2
Warning: Note that this package is for Debian 10 (Buster) / arm64 and may only work for that configuration.
Still stuck? Need help? Don't panic. Just contact us for help (even if you're not a customer).
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