├── src ├── OPT.png ├── OT1d.png ├── SOT.png ├── mint.png ├── PD_POT.png ├── readme.png ├── sliced.png ├── ot_intro.png ├── pd_intro.png ├── OT1d_discrete.png ├── persistent_homology_0d.gif └── persistent_homology_1d.gif ├── data └── data.pkl ├── README.md └── LICENSE /src/OPT.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/OPT.png -------------------------------------------------------------------------------- /src/OT1d.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/OT1d.png -------------------------------------------------------------------------------- /src/SOT.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/SOT.png -------------------------------------------------------------------------------- /src/mint.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/mint.png -------------------------------------------------------------------------------- /data/data.pkl: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/data/data.pkl -------------------------------------------------------------------------------- /src/PD_POT.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/PD_POT.png -------------------------------------------------------------------------------- /src/readme.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/readme.png -------------------------------------------------------------------------------- /src/sliced.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/sliced.png -------------------------------------------------------------------------------- /src/ot_intro.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/ot_intro.png -------------------------------------------------------------------------------- /src/pd_intro.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/pd_intro.png -------------------------------------------------------------------------------- /src/OT1d_discrete.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/OT1d_discrete.png -------------------------------------------------------------------------------- /src/persistent_homology_0d.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/persistent_homology_0d.gif -------------------------------------------------------------------------------- /src/persistent_homology_1d.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/skolouri/TopoTrans/HEAD/src/persistent_homology_1d.gif -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # TopoTrans: Optimal Transport meets Topological Data Analysis 2 | 3 | This repository contains the material from my ISBI2023 tutorial on Optimal Transport for Topological Data Analysis. The tutorial is under TDA_OT.ipynb and the code is execultable on [Google Colab](https://colab.research.google.com/github/skolouri/TopoTrans/blob/main/TDA_OT.ipynb). 4 | 5 | ![](./src/readme.png) 6 | 7 | 8 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2023 Soheil Kolouri 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | --------------------------------------------------------------------------------