scikit-dimension is distributed under the BSD 3-Clause License (see LICENSE).
Parts of it are adapted from the third-party code listed below, whose notices are reproduced here.

===============================================================================
intrinsicDimension (R package)
Source: https://cran.r-project.org/package=intrinsicDimension
Used in: skdim/id/_DANCo.py, _ESS.py, _KNN.py, _MLE.py, _MiND_ML.py, _PCA.py; skdim/datasets.py (hyperTwinPeaks, swissRoll3Sph)

MIT License

Copyright (c) 2017 Kerstin Johnsson

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

===============================================================================
TWO-NN
Source: https://github.com/fmottes/TWO-NN
Used in: skdim/id/_TwoNN.py

MIT License

Copyright (c) 2019 fmottes

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

===============================================================================
GeoMLE
Source: https://github.com/stat-ml/GeoMLE
Used in: skdim/datasets.py (BenchmarkManifolds)

MIT License

Copyright (c) 2019 Mokrov Nikita, Marina Gomtsyan, Maxim Panov and Yury Yanovich

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

===============================================================================
scipython-maths (Christian Hill)
Source: https://github.com/scipython/scipython-maths
Used in: skdim/datasets.py (lorenz_attractor)

MIT License

Copyright (c) 2021 Christian Hill

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

===============================================================================
ider (R package)
Source: https://cran.r-project.org/package=ider
Used in: skdim/id/_CorrInt.py, skdim/id/_MADA.py, skdim/datasets.py (lineDiskBall)

Author: Hideitsu Hino. Originally released under the GNU General Public License,
version 2 (https://www.gnu.org/licenses/old-licenses/gpl-2.0.html); included in
scikit-dimension under the BSD 3-Clause License with the author's agreement.

===============================================================================
Tight Local ID Estimator (TLE) MATLAB scripts
Source: https://github.com/radacha/tle (earlier version: https://perun.pmf.uns.ac.rs/radovanovic/tle/)
Used in: skdim/id/_TLE.py, skdim/id/_MOM.py

Authors: Laurent Amsaleg, Oussama Chelly, Michael E. Houle, Ken-ichi Kawarabayashi,
Milos Radovanovic and Weeris Treeratanajaru. Originally released under the Creative
Commons Attribution-ShareAlike 4.0 International License
(http://creativecommons.org/licenses/by-sa/4.0/); included in scikit-dimension under
the BSD 3-Clause License with the authors' agreement. Attribution, as requested by the
authors: Amsaleg L., Chelly O., Houle M. E., Kawarabayashi K., Radovanovic M.,
Treeratanajaru W. Intrinsic dimensionality estimation within tight localities.
Proceedings of the 2019 SIAM International Conference on Data Mining, 181-189.
doi:10.1137/1.9781611975673.21. Extended version: arXiv:2209.14475 (2022).

===============================================================================
FisherSeparabilityAnalysis
Source: https://github.com/auranic/FisherSeparabilityAnalysis
Used in: skdim/id/_FisherS.py

Authors: Andrei Zinovyev, Evgeny Mirkes, Luca Albergante, Jonathan Bac. No licence file
in the source repository; included in scikit-dimension under the BSD 3-Clause License
with the authors' agreement. Reference: Albergante L., Bac J., Zinovyev A. Estimating the
effective dimension of large biological datasets using Fisher separability analysis.
IJCNN 2019. doi:10.1109/IJCNN.2019.8852450.

===============================================================================
randomly
Source: https://github.com/RabadanLab/randomly
Used in: skdim/id/_PCA.py (lPCA ver="scRMT")

MIT License

Copyright (c) 2018, Luis Aparicio

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
