From 14d388d9e76fb916ba36e1c74637647eccc36f1c Mon Sep 17 00:00:00 2001 From: Umberto Lupo <46537483+ulupo@users.noreply.github.com> Date: Fri, 20 Nov 2020 10:50:52 +0100 Subject: [PATCH] Create giotto-tda v0.3.1 (#536) * Add workflow figure to docs (#519) * Add workflow figure to docs * Fix forgotten reshape in MNIST notebook * Add 0.3.0 to the list of versions Co-authored-by: wreise * Upload new mapper pipeline svg (#521) * Fix copyright notices (#522) * :art: Clean up shape classification tutorial (#523) * Add subsection to improve baseline model, remove projective space subsection * Remove case study prefix from Lorenz attractor example Co-authored-by: wreise Co-authored-by: Umberto Lupo * [CI] Rename notebooks_check to test_notebooks and add test_wheels variable (#524) * Update PairwiseDistance docstring for bottleneck distance (#525) Update the docstring to state what could happen with the symmetry of the bottleneck distance when the delta parameter is non-zero * Bump macOS version in Azure jobs to 10.15 (#527) * Bump macOS version in Azure jobs to 10.15 Attempt to fix the brew woes in the Azure jobs by trying the suggestion in https://developercommunity.visualstudio.com/comments/1239467/view.html * Increase timeout deadline to 500ms in some flaky tests (#531) * Increase timeout deadline to 500ms in collapser and mapper clustering classes tests * Use list comprehensions in _time_delay_embedding * Pull ripser.py latest changes (#530) * Update ripser.py commit * Add robinhhood hashmap as a dependency * Enable use of robinhood hashmap for ripser * Update ccache on azure pipeline Signed-off-by: julian * Split time series classification notebook into two (#529) * Separate the two notebooks * Rename time_series_classification notebook to topology_time_series * Revert #465 following #530 * Use np.asarray to handle coo attributes being lists * Fix documentation after splitting time series classification notebook (#533) * Add gravitational waves notebook to docs, rename time_series_classification to topology_time_series following #529 * Change link to use cases on giotto.ai * Clarify situation with use cases needing old versions of the library Co-authored-by: Umberto Lupo * Add copyright notice inherited from ripser.py following @MonkeyBreaker's comment * Prepare for v0.3.1 (#534) * Bump version number to 0.3.1 * Make release notes for 0.3.1 and add @rorondre to code authors Co-authored-by: wreise Co-authored-by: wreise Co-authored-by: lewtun Co-authored-by: rorondre Co-authored-by: REDS institute Co-authored-by: Wojciech Reise <32167173+wreise@users.noreply.github.com> --- .gitmodules | 3 + CMakeLists.txt | 5 + CODE_AUTHORS.rst | 1 + LICENSE | 2 +- azure-pipelines.yml | 23 +- doc/conf.py | 2 +- doc/images/giotto-tda_workflow.png | Bin 0 -> 264446 bytes doc/images/mapper_pipeline.svg | 3868 +++++++++-------- doc/library.rst | 16 +- doc/notebooks/examples.rst | 5 +- doc/notebooks/tutorials.rst | 2 +- doc/release.rst | 32 + doc/versions | 1 + examples/MNIST_classification.ipynb | 2 +- examples/classifying_shapes.ipynb | 602 ++- examples/data/generate_datasets.py | 44 +- examples/gravitational_waves_detection.ipynb | 438 ++ examples/images/2_complex.png | Bin 0 -> 21201 bytes examples/images/3d-tasks.png | Bin 0 -> 83403 bytes examples/images/3d_tasks.png | Bin 0 -> 83403 bytes examples/images/persistent_homology_0d.gif | Bin 0 -> 445929 bytes examples/images/persistent_homology_1d.gif | Bin 0 -> 462516 bytes examples/images/simplex.png | Bin 0 -> 4665 bytes examples/images/vr_complex.png | Bin 0 -> 176328 bytes examples/lorenz_attractor.ipynb | 8 +- examples/persistent_homology_graphs.ipynb | 6 +- examples/time_series_forecasting.ipynb | 9 +- ...ation.ipynb => topology_time_series.ipynb} | 379 +- examples/vietoris_rips_quickstart.ipynb | 4 +- gtda/_version.py | 2 +- gtda/diagrams/distance.py | 3 +- gtda/externals/python/ripser_interface.py | 101 +- gtda/externals/python/tests/test_ripser.py | 4 +- gtda/externals/ripser | 2 +- gtda/externals/robinhood | 1 + gtda/mapper/tests/test_cluster.py | 7 +- gtda/time_series/_utils.py | 5 +- setup.py | 2 +- 38 files changed, 3040 insertions(+), 2539 deletions(-) create mode 100644 doc/images/giotto-tda_workflow.png create mode 100644 examples/gravitational_waves_detection.ipynb create mode 100644 examples/images/2_complex.png create mode 100644 examples/images/3d-tasks.png create mode 100644 examples/images/3d_tasks.png create mode 100644 examples/images/persistent_homology_0d.gif create mode 100644 examples/images/persistent_homology_1d.gif create mode 100644 examples/images/simplex.png create mode 100644 examples/images/vr_complex.png rename examples/{time_series_classification.ipynb => topology_time_series.ipynb} (60%) create mode 160000 gtda/externals/robinhood diff --git a/.gitmodules b/.gitmodules index 2bb0377bf..3960071bb 100644 --- a/.gitmodules +++ b/.gitmodules @@ -14,3 +14,6 @@ [submodule "gtda/externals/pybind11"] path = gtda/externals/pybind11 url = https://github.com/pybind/pybind11 +[submodule "gtda/externals/robinhood"] + path = gtda/externals/robinhood + url = https://github.com/martinus/robin-hood-hashing diff --git a/CMakeLists.txt b/CMakeLists.txt index da0fa1d68..0ea01857c 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -13,6 +13,7 @@ set(RIPSER_SRC_DIR "gtda/externals/ripser") set(GUDHI_SRC_DIR "gtda/externals/gudhi-devel/src") set(HERA_DIR "gtda/externals/hera") set(EIGEN_DIR "gtda/externals/eigen") +set(ROBINHOOD_DIR "gtda/externals/robinhood") ####################################################################### # Ripser # @@ -27,6 +28,8 @@ endif() target_compile_definitions(gtda_ripser PRIVATE ASSEMBLE_REDUCTION_MATRIX=1) target_include_directories(gtda_ripser PRIVATE "${RIPSER_SRC_DIR}/ripser") +target_compile_definitions(gtda_ripser PRIVATE USE_ROBINHOOD_HASHMAP=1) +target_include_directories(gtda_ripser PRIVATE "${ROBINHOOD_DIR}/src/include") if(MSVC) target_compile_options(gtda_ripser PUBLIC $<$: /Wall /O2>) @@ -49,6 +52,8 @@ endif() target_compile_definitions(gtda_ripser_coeff PRIVATE USE_COEFFICIENTS=1 ASSEMBLE_REDUCTION_MATRIX=1) target_include_directories(gtda_ripser_coeff PRIVATE "${RIPSER_SRC_DIR}/ripser") +target_compile_definitions(gtda_ripser_coeff PRIVATE USE_ROBINHOOD_HASHMAP=1) +target_include_directories(gtda_ripser_coeff PRIVATE "${ROBINHOOD_DIR}/src/include") if(MSVC) target_compile_options(gtda_ripser_coeff PUBLIC $<$: /Wall /O2>) diff --git a/CODE_AUTHORS.rst b/CODE_AUTHORS.rst index 3d5752318..93c2c57ce 100644 --- a/CODE_AUTHORS.rst +++ b/CODE_AUTHORS.rst @@ -14,3 +14,4 @@ Where component authors are known, add them here. | Wojciech Reise, reisewojciech@gmail.com | Roman Yurchak, roman.yurchak@symerio.com | Nick Sale, nicholas.j.sale@gmail.com +| Rayna Andreeva, r.andreeva@sms.ed.ac.uk diff --git a/LICENSE b/LICENSE index eeb7efd66..ce6adaf5b 100644 --- a/LICENSE +++ b/LICENSE @@ -1,4 +1,4 @@ -Copyright 2019 L2F SA. +Copyright 2020 L2F SA. If you need a different distribution license, please contact the L2F team at business@l2f.ch. diff --git a/azure-pipelines.yml b/azure-pipelines.yml index 23d4d730c..b1c9c7877 100644 --- a/azure-pipelines.yml +++ b/azure-pipelines.yml @@ -41,7 +41,7 @@ jobs: - task: Cache@2 inputs: - key: '"ccache-wheels-v2020.10.05" | $(Agent.OS) | "$(python.version)"' + key: '"ccache-wheels-v2020.11.03" | $(Agent.OS) | "$(python.version)"' path: $(CCACHE_DIR) displayName: ccache @@ -73,6 +73,7 @@ jobs: mkdir tmp_test_cov cd tmp_test_cov pytest --pyargs gtda --ignore-glob='*externals*' --no-cov --no-coverage-upload + condition: eq(variables['test_wheels'], 'true') displayName: 'Test the wheels with pytest' - script: | @@ -84,7 +85,7 @@ jobs: do papermill --start_timeout 2000 $n - done - condition: eq(variables['notebooks_check'], 'true') + condition: eq(variables['test_notebooks'], 'true') displayName: 'Test jupyter notebooks with papermill' - task: CopyFiles@2 @@ -107,9 +108,9 @@ jobs: displayName: 'Upload nightly wheels to PyPI' -- job: 'macOS1014' +- job: 'macOS1015' pool: - vmImage: 'macOS-10.14' + vmImage: 'macOS-10.15' strategy: matrix: Python36: @@ -138,7 +139,7 @@ jobs: - task: Cache@2 inputs: - key: '"ccache-v2020.10.05" | $(Agent.OS) | "$(python.version)"' + key: '"ccache-v2020.11.03" | $(Agent.OS) | "$(python.version)"' path: $(CCACHE_DIR) displayName: ccache @@ -170,8 +171,8 @@ jobs: - script: | set -e - pip uninstall -y giotto-tda - pip uninstall -y giotto-tda-nightly + python -m pip uninstall -y giotto-tda + python -m pip uninstall -y giotto-tda-nightly displayName: 'Uninstall giotto-tda/giotto-tda-nightly' - script: | @@ -187,6 +188,7 @@ jobs: mkdir tmp_test_cov cd tmp_test_cov pytest --pyargs gtda --ignore-glob='*externals*' --no-cov --no-coverage-upload + condition: eq(variables['test_wheels'], 'true') displayName: 'Test the wheels with pytest' - script: | @@ -198,7 +200,7 @@ jobs: do papermill --start_timeout 2000 $n - done - condition: eq(variables['notebooks_check'], 'true') + condition: eq(variables['test_notebooks'], 'true') displayName: 'Test jupyter notebooks with papermill' - task: CopyFiles@2 @@ -273,7 +275,7 @@ jobs: - script: | python -m pip uninstall -y giotto-tda python -m pip uninstall -y giotto-tda-nightly - displayName: 'Uninstall giotto-tda/giotto-tda-nightly dev' + displayName: 'Uninstall giotto-tda/giotto-tda-nightly' - bash: | set -e @@ -288,6 +290,7 @@ jobs: mkdir tmp_test_cov cd tmp_test_cov pytest --pyargs gtda --ignore-glob='*externals*' --no-cov --no-coverage-upload + condition: eq(variables['test_wheels'], 'true') displayName: 'Test the wheels with pytest' - script: | @@ -295,7 +298,7 @@ jobs: python -m pip install papermill cd examples FOR %%n in (*.ipynb) DO (papermill --start_timeout 2000 %%n - || exit /b) - condition: eq(variables['notebooks_check'], 'true') + condition: eq(variables['test_notebooks'], 'true') displayName: 'Test jupyter notebooks with papermill' - task: CopyFiles@2 diff 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z" + style="font-size:4.23333px;stroke-width:0.264583" + id="path4205" /> diff --git a/doc/library.rst b/doc/library.rst index 2737bd8ae..1eefecb39 100644 --- a/doc/library.rst +++ b/doc/library.rst @@ -31,6 +31,8 @@ Guiding principles 30s guide to ``giotto-tda`` *************************** +.. figure:: images/giotto-tda_workflow.png + For installation instructions, see :ref:`the installation instructions `. The functionalities of ``giotto-tda`` are provided in ``scikit-learn``–style transformers. @@ -77,8 +79,7 @@ optimised via grid-searches, etc.: model.fit(X_train, y_train) model.score(X_valid, y_valid) -``giotto-tda`` also implements the `Mapper algorithm `_ as a highly customisable ``scikit-learn`` :class:`Pipeline`, and provides simple plotting functions -for visualizing output Mapper graphs and have real-time interaction with the pipeline parameters: +``giotto-tda`` also implements the `Mapper algorithm `_ as a highly customisable ``scikit-learn`` :class:`Pipeline`, and provides simple plotting functions for visualizing output Mapper graphs and have real-time interaction with the pipeline parameters: .. code-block:: python @@ -105,8 +106,11 @@ We provide a number of :ref:`tutorials and examples `, which of Use cases ========= -A selection of use cases for ``giotto-tda`` is collected at `this page `_. -The related GitHub repositories can be found at `github `_. +A selection of use cases for ``giotto-tda`` is collected at `this page `_. +Please note, however, that some of these were written for past versions of ``giotto-tda``. In some cases, +only small modifications are needed to run them on recent versions, while in others it is best to install +the relevant past version of ``giotto-tda`` (preferably in a fresh environmnent). In a couple of cases, +the legacy ``giotto-learn`` or ``giotto-learn-nightly`` will be needed. ********** What's new @@ -114,5 +118,5 @@ What's new .. include:: release.rst - :start-after: Release 0.3.0 - :end-before: Release 0.2.2 + :start-after: Release 0.3.1 + :end-before: Release 0.3.0 diff --git a/doc/notebooks/examples.rst b/doc/notebooks/examples.rst index 3da2cb993..39e655cda 100644 --- a/doc/notebooks/examples.rst +++ b/doc/notebooks/examples.rst @@ -6,7 +6,8 @@ This page contains examples of use of ``giotto-tda``. .. toctree:: :maxdepth: 1 - + + gravitational_waves_detection classifying_shapes lorenz_attractor MNIST_classification @@ -29,4 +30,4 @@ This page contains examples of use of ``giotto-tda``. :end-before: Import libraries Try it on `github `__ for full interactivity, - or check `the static version `__. \ No newline at end of file + or check `the static version `__. diff --git a/doc/notebooks/tutorials.rst b/doc/notebooks/tutorials.rst index 5eea09ced..2d01b1f49 100644 --- a/doc/notebooks/tutorials.rst +++ b/doc/notebooks/tutorials.rst @@ -11,7 +11,7 @@ by Lewis Tunstall provides a friendly introduction to the philosophy of ``giotto vietoris_rips_quickstart plotting_api mapper_quickstart - time_series_classification + topology_time_series time_series_forecasting persistent_homology_graphs diff --git a/doc/release.rst b/doc/release.rst index cc8f8b00b..de44b4c38 100644 --- a/doc/release.rst +++ b/doc/release.rst @@ -4,6 +4,38 @@ Release Notes .. _stable: +************* +Release 0.3.1 +************* + +Major Features and Improvements +=============================== + +- The latest changes made to the ``ripser.py`` submodule have been pulled (`#530 `_, see also `#532 `_). This includes in particular the performance improvements to the C++ backend submitted by Julian Burella Pérez via `scikit-tda/ripser.py#106 `_. The developer installation now includes a new dependency in `robinhood hashmap `_. These changes do not affect functionality. +- The example notebook `classifying_shapes.ipynb `_ has been modified and improved (`#523 `_). +- The tutorial previously called ``time_series_classification.ipynb`` has been split into an introductory tutorial on the Takens embedding ideas (`topology_time_series.ipynb `_) and an example notebook on gravitational wave detection (`gravitational_waves_detection.ipynb `_) which presents a time series classification task (`#529 `_). +- The documentation for ``PairwiseDistance`` has been improved (`#525 `_). + +Bug Fixes +========= + +- Timeout deadlines for some of the ``hypothesis`` tests have been increased to make them less flaky (`#531 `_). + +Backwards-Incompatible Changes +============================== + +- Due to poor support for ``brew`` in the macOS 10.14 virtual machines by Azure, the CI for macOS systems is now run on 10.15 virtual machines and 10.14 is no longer supported by the wheels (`#527 `_) + +Thanks to our Contributors +========================== + +This release contains contributions from many people: + +Julian Burella Pérez, Umberto Lupo, Lewis Tunstall, Wojciech Reise, and Rayna Andreeva. + +We are also grateful to all who filed issues or helped resolve them, asked and answered questions, and were part of inspiring discussions. + + ************* Release 0.3.0 ************* diff --git a/doc/versions b/doc/versions index 2956d16b0..81d0b9ba9 100644 --- a/doc/versions +++ b/doc/versions @@ -1,4 +1,5 @@ ./0.2.0 ./0.2.1 ./0.2.2 +./0.3.0 ./latest diff --git a/examples/MNIST_classification.ipynb b/examples/MNIST_classification.ipynb index 34c130b83..eba29560e 100644 --- a/examples/MNIST_classification.ipynb +++ b/examples/MNIST_classification.ipynb @@ -82,7 +82,7 @@ "from gtda.plotting import plot_heatmap\n", "\n", "im8_idx = np.flatnonzero(y == \"8\")[0]\n", - "img8 = X[im8_idx]\n", + "img8 = X[im8_idx].reshape(28, 28)\n", "plot_heatmap(img8)" ] }, diff --git a/examples/classifying_shapes.ipynb b/examples/classifying_shapes.ipynb index 8b38bfd2e..67e8c82ff 100644 --- a/examples/classifying_shapes.ipynb +++ b/examples/classifying_shapes.ipynb @@ -4,9 +4,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Case study: Classification of shapes\n", + "# Classifying 3D shapes\n", "\n", - "This notebook explains how to use ``giotto-tda`` to be able to classify topologically different high-dimensional spaces.\n", + "Techniques for analyzing 3D shapes are becoming increasingly important due to the vast number of sensors such as LiDAR that are capturing 3D data, as well as numerous computer graphics applications. These raw data are typically collected in the form of a _point cloud_, which corresponds to a set of 3D points $\\{p_i | i = 1, \\ldots, n\\}$, where each point $p_i$ is a vector of its $(x, y, z)$ coordinates plus extra\n", + "feature channels such as color, intensity etc. Typically, Euclidean distance is used to calculate the distances between any two points.\n", + "\n", + "By finding suitable representations of these point clouds, machine learning can be used to solve a variety of tasks such as those shown in the figure below.\n", + "\n", + "![3d-tasks](images/3d_tasks.png)\n", + "
\n", + "

Figure reference: adapted from arxiv.org/abs/1612.00593.

\n", + "
\n", + "\n", + "This notebook examines how ``giotto-tda`` can be used to extract topological features from point cloud data and fed to a simple classifier to distinguish 3D shapes.\n", "\n", "If you are looking at a static version of this notebook and would like to run its contents, head over to [GitHub](https://github.com/giotto-ai/giotto-tda/blob/master/examples/classifying_shapes.ipynb) and download the source.\n", "\n", @@ -17,8 +27,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Import libraries\n", - "The first step consists in importing relevant ``giotto-tda`` components and other useful libraries or modules." + "## Generate simple shapes\n", + "\n", + "To get started, let's generate a synthetic dataset of 10 noisy circles, spheres, and tori, where the effect of noise is to displace the points that sample the surfaces by a random amount in a random direction:" ] }, { @@ -27,29 +38,132 @@ "metadata": {}, "outputs": [], "source": [ - "# Importing libraries\n", - "from gtda.homology import VietorisRipsPersistence\n", - "from gtda.diagrams import PersistenceEntropy\n", + "from data.generate_datasets import make_point_clouds\n", "\n", - "import numpy as np\n", + "point_clouds_basic, labels_basic = make_point_clouds(n_samples_per_shape=10, n_points=20, noise=0.5)\n", + "point_clouds_basic.shape, labels_basic.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here the labels are defined to that a circle is 0, a sphere is 1, and a torus is 2. Each point cloud corresponds to a sampling of the continuous surface – in this case 400 points are sampled per shape. As a sanity check, let's visualise these points clouds using ``giotto-tda``'s plotting API:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from gtda.plotting import plot_point_cloud\n", "\n", - "from gtda.pipeline import Pipeline\n", - "from sklearn.linear_model import LogisticRegression\n", + "plot_point_cloud(point_clouds_basic[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot_point_cloud(point_clouds_basic[10])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot_point_cloud(point_clouds_basic[-1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## From data to persistence diagrams\n", + "In raw form, point cloud data is not well suited for most machine learning algorithms because we ultimately need a _feature matrix_ $X$ where each row corresponds to a single sample (i.e. point cloud) and each column corresponds to a particular feature. In our example, each point cloud corresponds to a _collection_ of 3-dimensional vectors, so we need some way of representing this information in terms of a _single_ vector $x^{(i)}$ of feature values.\n", + "\n", + "In this notebook we will use persistent homology to generate a topological summary of a point cloud in the form of a so-called persistence diagram. Perhaps the simplest way to understand persistent homology is in terms of _growing balls around each point._ The basic idea is that by keeping track of when the balls intersect we can quantify when topological features like connected components and loops are \"born\" or \"die\".\n", "\n", - "# Plotting functions\n", - "from gtda.plotting import plot_diagram, plot_point_cloud, plot_heatmap" + "For example, consider two noisy clusters and track their connectivity or \"0-dimensional persistent homology\" as we increase the radius of the balls around each point:\n", + "\n", + "![phdim0](images/persistent_homology_0d.gif)\n", + "\n", + "\n", + "As the ball radius is grown from 0 to infinity, 0-dimensional persistent homology records when the ball in one connected component first intersects a ball of a _different_ connected component (denoted by a different colour in the animation). At radius 0, a connected component for each point is _born_ and once any two balls touch we have a _death_ of a connected component with one color persisting and the other color vanishing. The vanishing of a color corresponds to a death, and therefore another point being added to the persistence diagram." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Behind the scenes, this process generating a persistence diagram from data involves several steps:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Sampling orientable surfaces\n", + "### 1. Construct a simplicial complex\n", + "\n", + "The effect of connecting points as we increase some radius $\\epsilon$ results in the creation of geometric objects called simplices. \n", + "\n", + "![vr-complex](images/vr_complex.png)\n", + "
\n", + "

Figure reference: bit.ly/2z9yP1d.

\n", + "
\n", + "\n", + "A $k$-simplex $[p_0,\\ldots,p_k]$ is the convex hull of a set of $k+1$ affinely independent points in $\\mathbb{R}^n$. For example the 0-simplex is a point, the 1-simplex is a line, the 2-simplex is a triangular disc, and a 3-simplex a regular tetrahedron:\n", + "\n", + "![simplex](images/simplex.png)\n", + "
\n", + "

Figure reference: bit.ly/2X8AsUX.

\n", + "
\n", + "\n", + "Linking simplices together results in a simplicial complex $X$, which for computational efficiency is often represented abstractly as finite subsets of the vertex set of $X$. For example, the 2-complex shown below can be written as the set \n", + "\n", + "$$X=\\{a,b,c,d,e,[a,b],[b,c],[c,d],[d,e],[e,a],[b,e],[a,b,e]\\}\\,.$$\n", "\n", - "We are going to consider three classical topological spaces: the circle, the 2-torus and the 2-sphere.\n", - "The purpose of this tutorial is to go through the most famous topological spaces and compute their homology groups.\n", + "![2-complex](images/2_complex.png)\n", + "
\n", + "

Figure reference: arxiv.org/abs/1904.11044.

\n", + "
\n", "\n", - "Each of the topological spaces we are going to encounter will be sampled. The resulting point cloud will be the input of the *persistent homology pipeline*. The first step is to apply the Vietoris–Rips technique to the point cloud. Finally, the persistent homology groups will be computed." + "One of the most common simplicial complexes one encounters in topological data analysis is the [Vietoris-Rips complex](https://en.wikipedia.org/wiki/Vietoris%E2%80%93Rips_complex), which is defined as the set of simplices $[p_0,\\ldots,p_k]$ such that the distance metric $d(p_i,p_j) \\leq \\epsilon$ for all $i,j$.\n", + "\n", + "#### 2. Compute Betti numbers\n", + "\n", + "Once the simplicial complex is constructed, we can ask questions about its topology. In particular, we can identify the presence of topological invariants such as connected pieces, holes and voids. This is achieved by computing quantities known as _Betti numbers_ which are informally [defined](https://en.wikipedia.org/wiki/Betti_number) as follows:\n", + "\n", + "> The $k$th Betti number refers to the number of $k$-dimensional holes on a topological surface. The first few Betti numbers have the following definitions for 0-dimensional, 1-dimensional, and 2-dimensional simplicial complexes:\n", + "> \n", + "> * $b_0$ is the number of connected components,\n", + "> * $b_1$ is the number of one-dimensional or \"circular\" holes,\n", + "> * $b_2$ is the number of two-dimensional \"voids\" or \"cavities\".\n", + "\n", + "By computing Betti numbers of a range of scale values $\\epsilon$, we can track which topological features _persist_ over this range. We can represent these changes in topology (technically homology) in terms of a persistence diagram, where each point corresponds to (birth, death) pairs, and points which are furthest away from the birth = death line correspond to the most persistent features.\n", + "\n", + "> Note: the reason we are talking about homology is because the $n$th Betti number represents the rank of the $n$th homology group $H_n$.\n", + "\n", + "An example showing the birth and death of \"loops\" (technically the homology group $H_1$) is shown below.\n", + "\n", + "![ph1D](images/persistent_homology_1d.gif)\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's descend from abstraction and apply these concepts to our shape classification problem! In ``giotto-tda`` we can derive persistence diagrams from data by selecting the desired transformer in [gtda.homology](https://giotto-ai.github.io/gtda-docs/latest/modules/homology.html) and instantiating the class just like a ``scikit-learn`` estimator. Once the transformer is instantiated, we can make use of the fit-transform paradigm to generate the diagrams:" ] }, { @@ -58,10 +172,34 @@ "metadata": {}, "outputs": [], "source": [ - "# Representing the circle in 3d with parametric equations.\n", - "circle = np.asarray([[np.sin(t), np.cos(t), 0]\n", - " for t in range(400)])\n", - "plot_point_cloud(circle)" + "from gtda.homology import VietorisRipsPersistence\n", + "\n", + "# Track connected components, loops, and voids\n", + "homology_dimensions = [0, 1, 2]\n", + "\n", + "# Collapse edges to speed up H2 persistence calculation!\n", + "persistence = VietorisRipsPersistence(\n", + " metric=\"euclidean\",\n", + " homology_dimensions=homology_dimensions,\n", + " n_jobs=6,\n", + " collapse_edges=True,\n", + ")\n", + "\n", + "diagrams_basic = persistence.fit_transform(point_clouds_basic)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tip: in our example each point cloud has the same number of points so can be fed as single NumPy array. If you have varying number of points per point cloud, you can pass a list of arrays instead." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once we have computed our persistence diagrams, we can compare how the circle, sphere and torus produce different patterns at each homology dimension:" ] }, { @@ -70,10 +208,10 @@ "metadata": {}, "outputs": [], "source": [ - "# Representing the sphere in 3d with parametric equations\n", - "sphere = np.asarray([[np.cos(s) * np.cos(t), np.cos(s) * np.sin(t), np.sin(s)]\n", - " for t in range(20) for s in range(20)])\n", - "plot_point_cloud(sphere)" + "from gtda.plotting import plot_diagram\n", + "\n", + "# Circle\n", + "plot_diagram(diagrams_basic[0])" ] }, { @@ -82,10 +220,8 @@ "metadata": {}, "outputs": [], "source": [ - "# Representing the torus in 3d with parametric equations\n", - "torus = np.asarray([[(2 + np.cos(s)) * np.cos(t), (2 + np.cos(s)) * np.sin(t), np.sin(s)]\n", - " for t in range(20) for s in range(20)])\n", - "plot_point_cloud(torus)" + "# Sphere\n", + "plot_diagram(diagrams_basic[10])" ] }, { @@ -94,23 +230,34 @@ "metadata": {}, "outputs": [], "source": [ - "# Saving the results into an array\n", - "topological_spaces = np.asarray([circle,sphere,torus])" + "# Torus\n", + "plot_diagram(diagrams_basic[-1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the persistence diagrams we can see which persistent generators $H_{1,2,3}$ are most persistent for each shape. In particular, we see that:\n", + "\n", + "* the circle has one persistent generator $H_1$ corresponding to a loop,\n", + "* the sphere has one persistent generator $H_2$ corresponding to a void,\n", + "* the torus has three persistent generators, two for $H_1$ and one for $H_2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Computing persistent homology\n", + "Although persistence diagrams are useful descriptors of the data, they cannot be used directly for machine learning applications. This is because different persistence diagrams may have different numbers of points, and basic operations like the addition and multiplication of diagrams are not well-defined.\n", "\n", - "In the next section we will use giotto-tda to compute the persistent homology groups of the topological spaces we just constructed.\n", + "To overcome these limitations, a variety of proposals have been made to \"vectorize\" persistence diagrams via embeddings or kernels which are well-suited for machine learning. In ``giotto-tda``, we provide access to the most common vectorizations via the ``gtda.diagrams`` module.\n", "\n", - "We will use the Vietoris–Rips technique to generate a filtration out of a point cloud:\n", + "For example, one such feature is known as [persistence entropy](https://giotto-ai.github.io/gtda-docs/latest/theory/glossary.html#persistence-entropy) which measures the entropy of points in a diagram $D = \\{(b_i, d_i)\\}_{i\\in I}$ according to\n", "\n", - "![Vietoris–Rips filtration of a point cloud](images/vietoris_rips_point_cloud.gif)\n", + "$$ E(D) = - \\sum_{i\\in I} p_i \\log p_i$$\n", "\n", - "Furthermore, throughout this notebook we will only consider the homology dimensions 0 (connected components), 1 (loops), and 2 (voids)." + "where $p_i =(d_i - b_i)/L_D$ and $L_D = \\sum_i (d_i - b_i)$. As we did for the persistence diagram calculation, we can use a transformer to calculate the persistent entropy associated with each homology generator $H_{0,1,2}$:" ] }, { @@ -119,7 +266,24 @@ "metadata": {}, "outputs": [], "source": [ - "homology_dimensions = (0, 1, 2)" + "from gtda.diagrams import PersistenceEntropy\n", + "\n", + "persistence_entropy = PersistenceEntropy()\n", + "\n", + "# calculate topological feature matrix\n", + "X_basic = persistence_entropy.fit_transform(diagrams_basic)\n", + "\n", + "# expect shape - (n_point_clouds, n_homology_dims)\n", + "X_basic.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nice - we have found a way to represent each point cloud in terms of just three numbers! Note that this does not depend on the number of points in the original point cloud, although calculating the $H_2$ generators becomes time consuming for point clouds of $O(10^3)$ points (at least on a standard laptop). \n", + "\n", + "By visualising the feature matrix" ] }, { @@ -128,22 +292,53 @@ "metadata": {}, "outputs": [], "source": [ - "VR = VietorisRipsPersistence(metric=\"euclidean\", max_edge_length=10, homology_dimensions=homology_dimensions)\n", - "\n", - "# Array of persistence diagrams, one per point cloud in the input\n", - "diagrams = VR.fit_transform(topological_spaces)\n", - "print(f\"diagrams.shape: {diagrams.shape}\")" + "plot_point_cloud(X_basic)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "we see that there are three distinct clusters, suggesting that a classifier should have no trouble finding a clean decision boundary!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Persistence diagrams\n", + "## Train a classifier\n", + "\n", + "With our topological features at hand, the last step is to train a classifier. Since our dataset is small, we will use a Random Forest and make use of the OOB score to simulate accuracy on a validation set:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", "\n", - "The topological information of the point cloud is synthesised in the persistence diagram. The horizontal axis corresponds to the moment in which an homological generator is born, while the vertical axis corresponds to the moments in which a homological generator dies.\n", + "rf = RandomForestClassifier(oob_score=True)\n", + "rf.fit(X_basic, labels_basic)\n", + "\n", + "print(f\"OOB score: {rf.oob_score_:.3f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Unsurprisingly, our classifier has perfectly separated the 3 classes. Next let's try to combine all the steps as a single pipeline!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Putting it all together\n", "\n", - "The generators of the homology groups are given a different colour per rank." + "Evidently, there are several data transformation steps that need to be executed in the right order to go from point clouds to predictions. Fortunately ``giotto-tda`` provides a ``Pipeline`` class to collect such sequences of transformations. Below is a small pipeline that reproduces all our steps:" ] }, { @@ -152,8 +347,22 @@ "metadata": {}, "outputs": [], "source": [ - "# Plotting the persistence diagram of the circle\n", - "plot_diagram(diagrams[0])" + "from gtda.pipeline import Pipeline\n", + "\n", + "steps = [\n", + " (\"persistence\", VietorisRipsPersistence(metric=\"euclidean\", homology_dimensions=homology_dimensions, n_jobs=6)),\n", + " (\"entropy\", PersistenceEntropy()),\n", + " (\"model\", RandomForestClassifier(oob_score=True)),\n", + "]\n", + "\n", + "pipeline = Pipeline(steps)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By calling the ``fit`` method, the pipeline calls ``fit_transform`` on all transformers before calling ``fit`` on the final estimator:" ] }, { @@ -162,8 +371,14 @@ "metadata": {}, "outputs": [], "source": [ - "# Plotting the persistence diagram of the sphere\n", - "plot_diagram(diagrams[1])" + "pipeline.fit(point_clouds_basic, labels_basic)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then access the Random Forest model by its ``model`` key to pick out the OOB score:" ] }, { @@ -172,31 +387,21 @@ "metadata": {}, "outputs": [], "source": [ - "# plotting the persistence diagram of the torus\n", - "plot_diagram(diagrams[2])" + "pipeline[\"model\"].oob_score_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Conclusion of the first part\n", - "\n", - "As you can see from the persistence diagrams, all the Betti numbers were found. Some other persistent generators are also appearing, depending on how dense the sampling is and how much noise there is. For example, we see a rather neat persistence diagram over the Torus bottle (we see two persistent generators for $H_1$ and one persistent generator for $H_2$). Notice though that there are other persistent $H_1$ generators, possibly due to the non-uniform sampling method we used for the torus.\n", - "\n", - "On the other hand, the persistence diagram for the circle is as perfect as it could be: one unique generator of $H_1$ and no other persistent generator, as expected." + "## A more realistic example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Classification of noisy orientable surfaces\n", - "In the next section we generate hundreds of noisy spheres and noisy tori. The effect of noise is to displace the points sampling the aforementioned surfaces by a random amount in a random direction.\n", - "\n", - "The Vietoris–Rips algorithm is used to compute persistence diagrams. Afterwards, from each diagram, the *persistence entropy* is computed.\n", - "\n", - "A simple linear classifier is then applied to the 3D-space of entropies to classify shapes." + "In the above example, the shapes were sufficiently distinct that it was easy to classify them according to their topological features. Here we consider a slightly more realistic example using point clouds from a variety of real-world objects. We will use the 3D dataset from Princeton's COS 429 Computer Vision [course](https://www.cs.princeton.edu/courses/archive/fall09/cos429/assignment3.html). The dataset consists of 200 models organised into 20 classes of 10 objects each. We'll use a subset consisting of a human, vase, dining_chair, and biplane:" ] }, { @@ -205,61 +410,17 @@ "metadata": {}, "outputs": [], "source": [ - "# Building dataset\n", - "n_train = 10\n", - "n_range = 15\n", - "eps = 0.3\n", + "from openml.datasets.functions import get_dataset\n", "\n", - "train_Xs = np.asarray([\n", - " [\n", - " [np.cos(s) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.cos(s) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.sin(s) + eps * (np.random.rand(1)[0] - 0.5)]\n", - " for t in range(n_range) for s in range(n_range)\n", - " ]\n", - " for kk in range(n_train)\n", - "])\n", - "train_ys = np.zeros(n_train)\n", - "train_Xt = np.asarray([\n", - " [\n", - " [(2 + np.cos(s)) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " (2 + np.cos(s)) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.sin(s) + eps * (np.random.rand(1)[0] - 0.5)]\n", - " for t in range(n_range) for s in range(n_range)\n", - " ]\n", - " for kk in range(n_train)\n", - "])\n", - "train_yt = np.ones(n_train)\n", - "\n", - "# Training set\n", - "train_X = np.concatenate((train_Xs, train_Xt))\n", - "train_y = np.concatenate((train_ys, train_yt))\n", - "\n", - "test_Xs = np.asarray([\n", - " [\n", - " [np.cos(s) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.cos(s) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.sin(s) + eps * (np.random.rand(1)[0] - 0.5)]\n", - " for t in range(n_range) for s in range(n_range)\n", - " ]\n", - " for kk in range(n_train)\n", - "])\n", - "test_ys = np.zeros(n_train)\n", - "test_Xt = np.asarray([\n", - " [\n", - " [(2 + np.cos(s)) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " (2 + np.cos(s)) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5),\n", - " np.sin(s) + eps * (np.random.rand(1)[0] - 0.5)]\n", - " for t in range(n_range) for s in range(n_range)\n", - " ]\n", - " for kk in range(n_train)\n", - "])\n", - "test_yt = np.ones(n_train)\n", - "\n", - "\n", - "# Test set\n", - "test_X = np.concatenate((test_Xs, test_Xt))\n", - "test_y = np.concatenate((test_ys, test_yt))" + "df = get_dataset('shapes').get_data(dataset_format='dataframe')[0]\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a sanity check, let's filter our ``pandas.DataFrame`` for a single member of a class, e.g. a biplane:" ] }, { @@ -268,18 +429,14 @@ "metadata": {}, "outputs": [], "source": [ - "VR = VietorisRipsPersistence(metric=\"euclidean\", max_edge_length=10, homology_dimensions=homology_dimensions)\n", - "\n", - "# List of all the time-ordered persistence diagrams obtained from the list of correlation matrices\n", - "train_diagrams = VR.fit_transform(train_X)\n", - "test_diagrams = VR.transform(test_X)" + "plot_point_cloud(df.query('target == \"biplane0\"')[[\"x\", \"y\", \"z\"]].values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Extract and plot persistent entropies" + "Next, let's collect all these point clouds in a single NumPy array:" ] }, { @@ -288,10 +445,22 @@ "metadata": {}, "outputs": [], "source": [ - "# Extract vector features from diagrams: persistence entropy\n", - "PE = PersistenceEntropy()\n", - "X_train = PE.fit_transform(train_diagrams)\n", - "X_test = PE.transform(test_diagrams)" + "import numpy as np\n", + "\n", + "point_clouds = np.asarray(\n", + " [\n", + " df.query(\"target == @shape\")[[\"x\", \"y\", \"z\"]].values\n", + " for shape in df[\"target\"].unique()\n", + " ]\n", + ")\n", + "point_clouds.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we did with the simple shapes, we can calculate persistence diagrams for each of these point clouds:" ] }, { @@ -300,7 +469,20 @@ "metadata": {}, "outputs": [], "source": [ - "plot_point_cloud(X_train)" + "persistence = VietorisRipsPersistence(\n", + " metric=\"euclidean\",\n", + " homology_dimensions=homology_dimensions,\n", + " n_jobs=6,\n", + " collapse_edges=True,\n", + ")\n", + "persistence_diagrams = persistence.fit_transform(point_clouds)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By zooming in on the resulting diagrams, we can spot some persistent generators, but with far less signal than before:" ] }, { @@ -309,62 +491,36 @@ "metadata": {}, "outputs": [], "source": [ - "# Training logistic regression\n", - "LR = LogisticRegression()\n", - "LR.fit(X_train, train_y)\n", - "# Score\n", - "LR.score(X_test, test_y)" + "# Index - (human_arms_out, 0), (vase, 10), (dining_chair, 20), (biplane, 30)\n", + "index = 30\n", + "plot_diagram(persistence_diagrams[index])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Generating non-orientable surfaces\n", - "\n", - "We are going to consider different classical shapes: the real projective space and the Klein bottle.\n", - "The purpose of the second part of the tutorial is to define shapes via a distance matrix. We also add noise to the distance matrix: the main reason is not to have overlapping points in the persistence diagram.\n", - "\n", - "Each of the topological spaces we are going to encounter will be sampled discretely. Afterwards, the Vietoris–Rips technique will be applied to the surface and the persistent homology groups will be computed." + "Next we convert each diagram into a 3-dimensional vector using persistent entropy and plot the resulting feature matrix:" ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "scrolled": false - }, + "metadata": {}, "outputs": [], "source": [ - "# Compute the adjacency matrix of the grid points, with boundaries identified as in the real projective space\n", - "from sklearn.utils.graph_shortest_path import graph_shortest_path\n", - "\n", - "# This functions prepares the grid matrix with boundary identification\n", - "def make_matrix(rows, cols):\n", - " n = rows * cols\n", - " M = np.zeros((n, n))\n", - " for r in range(rows):\n", - " for c in range(cols):\n", - " i = r * cols + c\n", - " # Two inner diagonals\n", - " if c > 0: M[i - 1, i] = M[i, i - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # Two outer diagonals\n", - " if r > 0: M[i - cols, i] = M[i,i - cols] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # vertical twisted boundary identification\n", - " if c == 0: M[n-i-1, i] = M[i, n - i - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # horizontal twisted boundary identification\n", - " if r == 0: M[n - i - 1, i] = M[i, n - i - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " \n", - " return M\n", - "\n", - "M = make_matrix(20,20)\n", - "\n", - "# Compute the distance matrix of the points over the Klein bottle\n", - "\n", - "rp2 = graph_shortest_path(M)\n", - "\n", - "# Plot of the distance matrix\n", - "plot_heatmap(rp2, colorscale=\"viridis\")" + "persistence_entropy = PersistenceEntropy(normalize=True)\n", + "# Calculate topological feature matrix\n", + "X = persistence_entropy.fit_transform(persistence_diagrams)\n", + "# Visualise feature matrix\n", + "plot_point_cloud(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Unlike our simple shapes example, we do not see distinct clusters so we expect our classifier performance to be less than perfect in this case. Before we can train a model, we need to define a target vector for each point cloud. A crude, but simple way is to label each class with an integer starting from 0 to $n_\\mathrm{classes} - 1$:" ] }, { @@ -373,32 +529,30 @@ "metadata": {}, "outputs": [], "source": [ - "# This functions prepares the grid matrix with boundary identification\n", - "def make_matrix(rows, cols):\n", - " n = rows * cols\n", - " M = np.zeros((n, n))\n", - " for r in range(rows):\n", - " for c in range(cols):\n", - " i = r * cols + c\n", - " # Two inner diagonals\n", - " if c > 0: M[i - 1, i] = M[i, i - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # Two outer diagonals\n", - " if r > 0: M[i - cols, i] = M[i, i - cols] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # vertical boundary identification\n", - " if c == 0: M[i + cols - 1, i] = M[i, i + cols - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " # horizontal twisted boundary identification\n", - " if r == 0: M[n - i - 1, i] = M[i, n - i - 1] = 1 + 0.15 * (np.random.rand(1)[0] - 0.5)\n", - " \n", - " return M\n", + "labels = np.zeros(40)\n", + "labels[10:20] = 1\n", + "labels[20:30] = 2\n", + "labels[30:] = 3\n", "\n", - "M = make_matrix(20, 20)\n", - "\n", - "# computing the distance matrix of the points over the Klein bottle\n", - "\n", - "klein = graph_shortest_path(M)\n", + "rf = RandomForestClassifier(oob_score=True, random_state=42)\n", + "rf.fit(X, labels)\n", + "rf.oob_score_" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Improving our model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the analysis above we used persistence entropy to generate 3 topological features per persistence diagram (one per homology dimension). However, this choice of vectorisation is by no means unique, and in practice one can augment this information with other topological features to produce better models. \n", "\n", - "# Plot of the distance matrix\n", - "plot_heatmap(klein, colorscale=\"viridis\")" + "For example, a simple feature to include is the number of off-diagonal points per homology dimension:" ] }, { @@ -407,17 +561,21 @@ "metadata": {}, "outputs": [], "source": [ - "# Saving the results into an array\n", - "topological_spaces_mat = np.asarray([rp2, klein])" + "from gtda.diagrams import NumberOfPoints\n", + "\n", + "# Reshape single diagram to (n_samples, n_features, 3) format\n", + "diagram = persistence_diagrams[0][None, :, :]\n", + "# Get number of points for (H0, H1, H2)\n", + "NumberOfPoints().fit_transform(diagram)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Computing persistent homology\n", + "A more sophisticated feature is to calculate a vector of _amplitudes_ for each persistence diagram. Here the main idea is to partition a diagram into subdiagrams (one per homology dimension) and use a _metric_ to calculate the amplitude of each subdiagram relative to the trivial diagram (i.e. the one with points on the main diagonal). The result is a vector $\\boldsymbol{a} = (a_{q_1}, \\ldots, a_{q_n})$, where the $q_i$ range over the specified homology dimensions.\n", "\n", - "In the next section we will use ``giotto-tda`` to compute the persistent homology groups of the topological spaces we just constructed." + "For example, we can calculate the [Wasserstein amplitudes](https://giotto-ai.github.io/gtda-docs/latest/theory/glossary.html#wasserstein-and-bottleneck-distance) for a single diagram as follows:" ] }, { @@ -426,21 +584,16 @@ "metadata": {}, "outputs": [], "source": [ - "VR = VietorisRipsPersistence(metric=\"precomputed\", max_edge_length=np.inf, homology_dimensions=homology_dimensions)\n", + "from gtda.diagrams import Amplitude\n", "\n", - "# List of all the time-ordered persistence diagrams obtained from the list of correlation matrices\n", - "diagrams = VR.fit_transform(topological_spaces_mat)" + "Amplitude(metric='wasserstein').fit_transform(diagram)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Persistence diagrams\n", - "\n", - "The topological information of the point cloud is synthesised in the persistence diagram. The horizontal axis corresponds to the moment in which an homological generator is born, while the vertical axis corresponds to the moments in which an homological generator dies.\n", - "\n", - "The generators of the homology groups are given a different colour per rank." + "So now that we know how to generate new topological features, let's combine them using ``scikit-learn``'s utility function for feature unions:" ] }, { @@ -449,8 +602,27 @@ "metadata": {}, "outputs": [], "source": [ - "# Plotting the persistence diagram of the projective space\n", - "plot_diagram(diagrams[0])" + "from sklearn.pipeline import make_union\n", + "\n", + "# Select a variety of metrics to calculate amplitudes\n", + "metrics = [\n", + " {\"metric\": metric}\n", + " for metric in [\"bottleneck\", \"wasserstein\", \"landscape\", \"persistence_image\"]\n", + "]\n", + "\n", + "# Concatenate to generate 3 + 3 + (4 x 3) = 18 topological features\n", + "feature_union = make_union(\n", + " PersistenceEntropy(normalize=True),\n", + " NumberOfPoints(n_jobs=-1),\n", + " *[Amplitude(**metric, n_jobs=-1) for metric in metrics]\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The final step is to combine our feature extraction step with a classifier, fit the pipeline, and extract the OOB score:" ] }, { @@ -459,19 +631,21 @@ "metadata": {}, "outputs": [], "source": [ - "# Plotting the persistence diagram of the Klein bottle\n", - "plot_diagram(diagrams[1])" + "pipe = Pipeline(\n", + " [\n", + " (\"features\", feature_union),\n", + " (\"rf\", RandomForestClassifier(oob_score=True, random_state=42)),\n", + " ]\n", + ")\n", + "pipe.fit(persistence_diagrams, labels)\n", + "pipe[\"rf\"].oob_score_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Conclusion\n", - "\n", - "As you can see from the persistence diagrams, all the Betti numbers were found. Some other persistent generators are also appearing, depending on how dense the sampling is and how much noise there is.\n", - "\n", - "For example, we see a rather neat persistence diagram over the Klein bottle (we see two persistent generators for $H_1$ and one persistent generator for $H_2$). Notice that all these homology groups are computed over the field $\\mathbb{F}_2$." + "By creating additional features, we've managed to improve our baseline model by about 30% – not bad!" ] } ], diff --git a/examples/data/generate_datasets.py b/examples/data/generate_datasets.py index 5bedcbdfc..bbb3fb6e4 100644 --- a/examples/data/generate_datasets.py +++ b/examples/data/generate_datasets.py @@ -2,43 +2,57 @@ from pathlib import Path -def generate_point_clouds(n_samples, n_points, eps): +def make_point_clouds(n_samples_per_shape: int, n_points: int, noise: float): + """Make point clouds for circles, spheres, and tori with random noise. + """ + circle_point_clouds = [ + np.asarray( + [ + [np.sin(t) + noise * (np.random.rand(1)[0] - 0.5), np.cos(t) + noise * (np.random.rand(1)[0] - 0.5), 0] + for t in range((n_points ** 2)) + ] + ) + for kk in range(n_samples_per_shape) + ] + # label circles with 0 + circle_labels = np.zeros(n_samples_per_shape) + sphere_point_clouds = [ np.asarray( [ [ - np.cos(s) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5), - np.cos(s) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5), - np.sin(s) + eps * (np.random.rand(1)[0] - 0.5), + np.cos(s) * np.cos(t) + noise * (np.random.rand(1)[0] - 0.5), + np.cos(s) * np.sin(t) + noise * (np.random.rand(1)[0] - 0.5), + np.sin(s) + noise * (np.random.rand(1)[0] - 0.5), ] for t in range(n_points) for s in range(n_points) ] ) - for _ in range(n_samples) + for kk in range(n_samples_per_shape) ] - # label spheres with 0 - sphere_labels = np.zeros(n_samples) + # label spheres with 1 + sphere_labels = np.ones(n_samples_per_shape) torus_point_clouds = [ np.asarray( [ [ - (2 + np.cos(s)) * np.cos(t) + eps * (np.random.rand(1)[0] - 0.5), - (2 + np.cos(s)) * np.sin(t) + eps * (np.random.rand(1)[0] - 0.5), - np.sin(s) + eps * (np.random.rand(1)[0] - 0.5) + (2 + np.cos(s)) * np.cos(t) + noise * (np.random.rand(1)[0] - 0.5), + (2 + np.cos(s)) * np.sin(t) + noise * (np.random.rand(1)[0] - 0.5), + np.sin(s) + noise * (np.random.rand(1)[0] - 0.5), ] for t in range(n_points) for s in range(n_points) ] ) - for _ in range(n_samples) + for kk in range(n_samples_per_shape) ] - # label tori with 1 - torus_labels = np.ones(n_samples) + # label tori with 2 + torus_labels = 2 * np.ones(n_samples_per_shape) - point_clouds = np.concatenate((sphere_point_clouds, torus_point_clouds)) - labels = np.concatenate((sphere_labels, torus_labels)) + point_clouds = np.concatenate((circle_point_clouds, sphere_point_clouds, torus_point_clouds)) + labels = np.concatenate((circle_labels, sphere_labels, torus_labels)) return point_clouds, labels diff --git a/examples/gravitational_waves_detection.ipynb b/examples/gravitational_waves_detection.ipynb new file mode 100644 index 000000000..00223cf3f --- /dev/null +++ b/examples/gravitational_waves_detection.ipynb @@ -0,0 +1,438 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Gravitational wave detection\n", + "Chrisopher Bresten and Jae-Hun Jung propose to include topological features in a CNN classifier for gravitational waves detection. Adapted from their article, this notebook showcases an application of ideas from the [Topology of time series example](https://giotto-ai.github.io/gtda-docs/latest/notebooks/topology_time_series.html).\n", + "\n", + "If you are looking at a static version of this notebook and would like to run its contents, head over to [GitHub](https://github.com/giotto-ai/giotto-tda/blob/master/examples/gravitational_waves_detection.ipynb) and download the source.\n", + "\n", + "## Useful references\n", + "\n", + "* [Topology of time series](https://giotto-ai.github.io/gtda-docs/latest/notebooks/topology_time_series.html), in which the *Takens embedding* technique used here is explained in detail and illustrated via simple examples.\n", + "* [Detection of gravitational waves using topological data analysis and convolutional neural network: An improved approach](https://arxiv.org/abs/1910.08245) by Christopher Bresten and Jae-Hun Jung. We thank Christopher Bresten for sharing the code and data used in the article.\n", + "\n", + "## See also\n", + "\n", + "- [Topology in time series forecasting](https://giotto-ai.github.io/gtda-docs/latest/notebooks/time_series_forecasting.html), in which the Takens embedding technique is used in time series forecasting tasks by using sliding windows.\n", + "- [Topological feature extraction using VietorisRipsPersistence and PersistenceEntropy](https://giotto-ai.github.io/gtda-docs/latest/notebooks/vietoris_rips_quickstart.html) for a quick introduction to general topological feature extraction in ``giotto-tda``.\n", + "\n", + "**License: AGPLv3**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Motivation\n", + "The videos below show different representations of the gravitational waves that we aim to detect. We will aim to pick out the \"chirp\" signal of two colliding black holes from a very noisy backgound." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from IPython.display import YouTubeVideo\n", + "\n", + "YouTubeVideo(\"Y3eR49ogsF0\", width=600, height=400)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "YouTubeVideo(\"QyDcTbR-kEA\", width=600, height=400)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generate the data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the article, the authors create a synthetic training set as follows: \n", + "\n", + "* Generate gravitational wave signals that correspond to non-spinning binary black hole mergers\n", + "* Generate a noisy time series and embed a gravitational wave signal with probability 0.5 at a random time.\n", + "\n", + "The result is a set of time series of the form\n", + "\n", + "$$ s = g + \\epsilon \\frac{1}{R}\\xi $$\n", + "\n", + "where $g$ is a gravitational wave signal from the reference set, $\\xi$ is Gaussian noise, $\\epsilon=10^{-19}$ scales the noise amplitude to the signal, and $R \\in (0.075, 0.65)$ is a parameter that controls the signal-to-noise-ratio (SNR)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Constant signal-to-noise ratio" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a warmup, let's generate some noisy signals with a constant SNR of 17.98. As shown in Table 1 of the article, this corresponds to an $R$ value of 0.65. By picking the upper end of the interval, we place ourselves in a favorable scenario and, thus, can gain a sense for what the best possible performance is for our time series classifier. We pick a small number of samples to make the computations run fast, but in practice would scale this by 1-2 orders of magnitude as done in the original article." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from data.generate_datasets import make_gravitational_waves\n", + "from pathlib import Path\n", + "\n", + "R = 0.65\n", + "n_signals = 100\n", + "DATA = Path(\"./data\")\n", + "\n", + "noisy_signals, gw_signals, labels = make_gravitational_waves(\n", + " path_to_data=DATA, n_signals=n_signals, r_min=R, r_max=R, n_snr_values=1\n", + ")\n", + "\n", + "print(f\"Number of noisy signals: {len(noisy_signals)}\")\n", + "print(f\"Number of timesteps per series: {len(noisy_signals[0])}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next let's visualise the two different types of time series that we wish to classify: one that is pure noise vs. one that is composed of noise plus an embedded gravitational wave signal:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from plotly.subplots import make_subplots\n", + "import plotly.graph_objects as go\n", + "\n", + "# get the index corresponding to the first pure noise time series\n", + "background_idx = np.argmin(labels)\n", + "# get the index corresponding to the first noise + gravitational wave time series\n", + "signal_idx = np.argmax(labels)\n", + "\n", + "ts_noise = noisy_signals[background_idx]\n", + "ts_background = noisy_signals[signal_idx]\n", + "ts_signal = gw_signals[signal_idx]\n", + "\n", + "fig = make_subplots(rows=1, cols=2)\n", + "\n", + "fig.add_trace(\n", + " go.Scatter(x=list(range(len(ts_noise))), y=ts_noise, mode=\"lines\", name=\"noise\"),\n", + " row=1,\n", + " col=1,\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=list(range(len(ts_background))),\n", + " y=ts_background,\n", + " mode=\"lines\",\n", + " name=\"background\",\n", + " ),\n", + " row=1,\n", + " col=2,\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Scatter(x=list(range(len(ts_signal))), y=ts_signal, mode=\"lines\", name=\"signal\"),\n", + " row=1,\n", + " col=2,\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We make two observations:\n", + "1. It is hard to distinguish the signal by eye,\n", + "2. The signal features some regularity or periodicity.\n", + "\n", + "Both observations lead us to examining the _**Takens embedding**_ of the signal $s(t)$, in order to pick up the recurrent structure. Indeed, if $f$ is sampled from a dynamical system with a non-trivial recurrent structure, then, for appropriate parameters, the image by the embedding will have non-trivial topology.\n", + "\n", + "More formally,, we extract a sequence of vectors in $\\mathbb{R}^{d}$ of the form\n", + "\n", + "$$\n", + "TD_{d,\\tau} s : \\mathbb{R} \\to \\mathbb{R}^{d}\\,, \\qquad t \\to \\begin{bmatrix}\n", + " s(t) \\\\\n", + " s(t + \\tau) \\\\\n", + " s(t + 2\\tau) \\\\\n", + " \\vdots \\\\\n", + " s(t + (d-1)\\tau)\n", + " \\end{bmatrix},\n", + "$$\n", + "where $d$ is the embedding dimension and $\\tau$ is the time delay. The quantity $(d-1)\\tau$ is known as the \"window size\" and the difference between $t_{i+1}$ and $t_i$ is called the stride.\n", + "\n", + "Let's examine what the time delay embedding of a pure gravitational wave signal looks like:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from gtda.time_series import SingleTakensEmbedding\n", + "embedding_dimension = 30\n", + "embedding_time_delay = 30\n", + "stride = 5\n", + "\n", + "embedder = SingleTakensEmbedding(\n", + " parameters_type=\"search\", n_jobs=6, time_delay=embedding_time_delay, dimension=embedding_dimension, stride=stride\n", + ")\n", + "\n", + "y_gw_embedded = embedder.fit_transform(gw_signals[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use PCA to project our high-dimensional space to 3-dimensions for visualisation:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.decomposition import PCA\n", + "from gtda.plotting import plot_point_cloud\n", + "\n", + "pca = PCA(n_components=3)\n", + "y_gw_embedded_pca = pca.fit_transform(y_gw_embedded)\n", + "\n", + "plot_point_cloud(y_gw_embedded_pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plot we can see that the decaying periodic signal generated by a black hole merger emerges as a _spiral_ in the time delay embedding space! For contrast, let's compare this to one of the pure noise time series in our sample:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "embedding_dimension = 30\n", + "embedding_time_delay = 30\n", + "stride = 5\n", + "\n", + "embedder = SingleTakensEmbedding(\n", + " parameters_type=\"search\", n_jobs=6, time_delay=embedding_time_delay, dimension=embedding_dimension, stride=stride\n", + ")\n", + "\n", + "y_noise_embedded = embedder.fit_transform(noisy_signals[background_idx])\n", + "\n", + "pca = PCA(n_components=3)\n", + "y_noise_embedded_pca = pca.fit_transform(y_noise_embedded)\n", + "\n", + "plot_point_cloud(y_noise_embedded_pca)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Evidently, pure noise resembles a high-dimensional ball in the time delay embedding space. Let's see if we can use persistent homology to tease apart which time series contain a gravitational wave signal versus those that don't. To do so we will adapt the strategy from the original article:\n", + "\n", + "1. Generate 200-dimensional time delay embeddings of each time series\n", + "2. Use PCA to reduce the time delay embeddings to 3-dimensions\n", + "3. Use the Vietoris-Rips construction to calculate persistence diagrams of $H_0$ and $H_1$ generators\n", + "4. Extract feature vectors using persistence entropy\n", + "5. Train a binary classifier on the topological features" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Define the topological feature generation pipeline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can do steps 1 and 2 by using the following ``giotto-tda`` tools:\n", + "\n", + "- The ``TakensEmbedding`` transformer – instead of ``SingleTakensEmbedding`` – which will transform each time series in ``noisy_signals`` separately and return a collection of point clouds;\n", + "- ``CollectionTransformer``, which is a convenience \"meta-estimator\" for applying the same PCA to each point cloud resulting from step 1.\n", + "\n", + "Using the ``Pipeline`` class from ``giotto-tda``, we can chain all operations up to and including step 4 as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from gtda.diagrams import PersistenceEntropy, Scaler\n", + "from gtda.homology import VietorisRipsPersistence\n", + "from gtda.metaestimators import CollectionTransformer\n", + "from gtda.pipeline import Pipeline\n", + "from gtda.time_series import TakensEmbedding\n", + "\n", + "embedding_dimension = 200\n", + "embedding_time_delay = 10\n", + "stride = 10\n", + "\n", + "embedder = TakensEmbedding(time_delay=embedding_time_delay,\n", + " dimension=embedding_dimension,\n", + " stride=stride)\n", + "\n", + "batch_pca = CollectionTransformer(PCA(n_components=3), n_jobs=-1)\n", + "\n", + "persistence = VietorisRipsPersistence(homology_dimensions=[0, 1], n_jobs=-1)\n", + "\n", + "scaling = Scaler()\n", + "\n", + "entropy = PersistenceEntropy(normalize=True, nan_fill_value=-10)\n", + "\n", + "\n", + "steps = [(\"embedder\", embedder),\n", + " (\"pca\", batch_pca),\n", + " (\"persistence\", persistence),\n", + " (\"scaling\", scaling),\n", + " (\"entropy\", entropy)]\n", + "topological_transfomer = Pipeline(steps)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "features = topological_transfomer.fit_transform(noisy_signals)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Train and evaluate a model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the final step, let's train a simple classifier on our topological features. As usual we create training and validation sets" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_valid, y_train, y_valid = train_test_split(\n", + " features, labels, test_size=0.1, random_state=42\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "and then fit and evaluate our model:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import accuracy_score, roc_auc_score\n", + "\n", + "\n", + "def print_scores(fitted_model):\n", + " res = {\n", + " \"Accuracy on train:\": accuracy_score(fitted_model.predict(X_train), y_train),\n", + " \"ROC AUC on train:\": roc_auc_score(\n", + " y_train, fitted_model.predict_proba(X_train)[:, 1]\n", + " ),\n", + " \"Accuracy on valid:\": accuracy_score(fitted_model.predict(X_valid), y_valid),\n", + " \"ROC AUC on valid:\": roc_auc_score(\n", + " y_valid, fitted_model.predict_proba(X_valid)[:, 1]\n", + " ),\n", + " }\n", + "\n", + " for k, v in res.items():\n", + " print(k, round(v, 3))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "model = LogisticRegression()\n", + "model.fit(X_train, y_train)\n", + "print_scores(model)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a simple baseline, this model is not too bad - it outperforms the deep learning baseline in the article which typically fares little better than random on the raw data. However, the combination of deep learning and persistent homology is where significant performance gains are seen - we leave this as an exercise to the intrepid reader!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/examples/images/2_complex.png b/examples/images/2_complex.png new file mode 100644 index 0000000000000000000000000000000000000000..5572597b8dbfdafd0c0774495c741cc12609a322 GIT binary patch literal 21201 zcmagE1y~$SvnUJ%cXxLQ?(VWdf%!QBb&u8X_7yIXJw?iw5x4NlOzdB5+-J^%Ti zJNwK|Pj^*US5J3YSA?>XED9naA_N2k3P4Uu6#@d14_tnNhXwz0)9V^RKp>k~N=hmN zBqhm}o$SplZA>8`9)p;RU83*=D9X@YUZ#VW`dDG;cW@G%1; 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number of points in the greedy " - "permutation" - ) + raise Exception("There should be a strictly positive number of points " + "in the greedy permutation") idx_perm = np.arange(X.shape[0]) r_cover = 0.0 if n_perm: - idx_perm, lambdas, dperm2all = get_greedy_perm( - X, n_perm=n_perm, metric=metric - ) + idx_perm, lambdas, dperm2all = \ + get_greedy_perm(X, n_perm=n_perm, metric=metric) r_cover = lambdas[-1] dm = dperm2all[:, idx_perm] else: @@ -234,7 +241,6 @@ def ripser(X, maxdim=1, thresh=np.inf, coeff=2, metric="euclidean", dperm2all = None n_points = max(dm.shape) - sort_coo = True if (dm.diagonal() != 0).any(): if collapse_edges: warn("Edge collapses are not supported when any of the diagonal " @@ -246,11 +252,9 @@ def ripser(X, maxdim=1, thresh=np.inf, coeff=2, metric="euclidean", # format, because currently that's the only format that handles # nonzero births dm = sparse.coo_matrix(dm) - sort_coo = False if sparse.issparse(dm) or collapse_edges: if collapse_edges: - sort_coo = True if not sparse.issparse(dm): row, col, data = \ gtda_collapser.flag_complex_collapse_edges_dense(dm, @@ -262,31 +266,17 @@ def ripser(X, maxdim=1, thresh=np.inf, coeff=2, metric="euclidean", coo.col, coo.data, thresh) - else: - if sparse.isspmatrix_coo(dm): - # If the matrix is already COO, we need to order the row and - # column indices lexicographically to avoid errors. See - # https://github.com/scikit-tda/ripser.py/issues/103 - row, col, data = dm.row, dm.col, dm.data - else: - coo = dm.tocoo() - row, col, data = coo.row, coo.col, coo.data - sort_coo = False - - if sort_coo: - row, col, data = _lexsort_coo_data(np.asarray(row), - np.asarray(col), - np.asarray(data)) - - res = DRFDMSparse( - row.astype(dtype=np.int32, order="C"), - col.astype(dtype=np.int32, order="C"), - np.array(data, dtype=np.float32, order="C"), - n_points, - maxdim, - thresh, - coeff - ) + elif sparse.issparse(dm): + coo = dm.tocoo() + row, col, data = coo.row, coo.col, coo.data + + res = DRFDMSparse(np.asarray(row, dtype=np.int32, order="C"), + np.asarray(col, dtype=np.int32, order="C"), + np.asarray(data, dtype=np.float32, order="C"), + n_points, + maxdim, + thresh, + coeff) else: # Only consider strict upper diagonal DParam = squareform(dm, checks=False).astype(np.float32) @@ -301,11 +291,10 @@ def ripser(X, maxdim=1, thresh=np.inf, coeff=2, metric="euclidean", N = int(len(dgms[dim]) / 2) dgms[dim] = np.reshape(np.array(dgms[dim]), [N, 2]) - ret = { - "dgms": dgms, - "num_edges": res.num_edges, - "dperm2all": dperm2all, - "idx_perm": idx_perm, - "r_cover": r_cover, - } + ret = {"dgms": dgms, + "num_edges": res.num_edges, + "dperm2all": dperm2all, + "idx_perm": idx_perm, + "r_cover": r_cover} + return ret diff --git a/gtda/externals/python/tests/test_ripser.py b/gtda/externals/python/tests/test_ripser.py index 5de7833d3..def5d75e7 100644 --- a/gtda/externals/python/tests/test_ripser.py +++ b/gtda/externals/python/tests/test_ripser.py @@ -1,6 +1,6 @@ import numpy as np import pytest -from hypothesis import given +from hypothesis import given, settings from hypothesis.extra.numpy import arrays from hypothesis.strategies import floats, integers, composite from numpy.testing import assert_almost_equal @@ -47,6 +47,7 @@ def get_sparse_distance_matrices(draw): @pytest.mark.parametrize('thresh', [False, True]) @pytest.mark.parametrize('coeff', [2, 7]) +@settings(deadline=500) @given(distance_matrix=get_dense_distance_matrices()) def test_collapse_consistent_with_no_collapse_dense(thresh, coeff, distance_matrix): @@ -66,6 +67,7 @@ def test_collapse_consistent_with_no_collapse_dense(thresh, @pytest.mark.parametrize('thresh', [False, True]) @pytest.mark.parametrize('coeff', [2, 7]) +@settings(deadline=500) @given(distance_matrix=get_sparse_distance_matrices()) def test_collapse_consistent_with_no_collapse_coo(thresh, coeff, distance_matrix): diff --git a/gtda/externals/ripser b/gtda/externals/ripser index c1a81fb00..f784e1f38 160000 --- a/gtda/externals/ripser +++ b/gtda/externals/ripser @@ -1 +1 @@ -Subproject commit c1a81fb00b959172956dcae521f8cf726f3ba452 +Subproject commit f784e1f381094219316855c4dc6c2abd494a8a07 diff --git a/gtda/externals/robinhood b/gtda/externals/robinhood new file mode 160000 index 000000000..c0801327e --- /dev/null +++ b/gtda/externals/robinhood @@ -0,0 +1 @@ +Subproject commit c0801327ea589d8f0f941aa5d3ca4f9f770f4ea9 diff --git a/gtda/mapper/tests/test_cluster.py b/gtda/mapper/tests/test_cluster.py index 1898e8061..b9c1297db 100644 --- a/gtda/mapper/tests/test_cluster.py +++ b/gtda/mapper/tests/test_cluster.py @@ -5,7 +5,7 @@ import numpy as np import pytest import sklearn as sk -from hypothesis import given +from hypothesis import given, settings from hypothesis.extra.numpy import arrays from hypothesis.strategies import floats, integers, composite from numpy.testing import assert_almost_equal @@ -138,6 +138,7 @@ def get_input(draw, n_clusters=None, n_points_per_cluster=None, dim, std=std)) +@settings(deadline=500) @given(inp=get_input(n_clusters=1, n_points_per_cluster=1, std=1)) def test_on_trivial_input(inp): """Test that with one cluster, and one point, we always get one cluster, @@ -152,6 +153,7 @@ def test_on_trivial_input(inp): assert fh.n_clusters_ == n_clusters +@settings(deadline=500) @given(inp=get_input(std=0.02)) def test_firstsimplegap(inp): """For a multimodal distribution, check that ``FirstSimpleGap`` with @@ -169,6 +171,7 @@ def test_firstsimplegap(inp): assert_almost_equal(counts, n_points_per_cluster) +@settings(deadline=500) @given(inp=get_input(n_clusters=2, std=0.02)) def test_firsthistogramgap(inp): """For a multimodal distribution, check that the ``FirstHistogramGap`` with @@ -185,6 +188,7 @@ def test_firsthistogramgap(inp): assert_almost_equal(counts, n_points_per_cluster) +@settings(deadline=500) @given(inp=get_input(), max_frac=floats(min_value=0., exclude_min=True, max_value=1., exclude_max=False)) def test_max_fraction_clusters(inp, max_frac): @@ -202,6 +206,7 @@ def test_max_fraction_clusters(inp, max_frac): assert fh.n_clusters_ <= np.floor(max_num_clusters) +@settings(deadline=500) @given(inp=get_input()) def test_precomputed_distances(inp): """Verify that the clustering based on a distance matrix is the same as diff --git a/gtda/time_series/_utils.py b/gtda/time_series/_utils.py index 2a5be9d7d..cac94b11a 100644 --- a/gtda/time_series/_utils.py +++ b/gtda/time_series/_utils.py @@ -36,10 +36,7 @@ def _time_delay_embedding(X, time_delay=1, dimension=2, stride=1, func = partial(_time_delay_embedding, time_delay=time_delay, dimension=dimension, stride=stride, flatten=flatten, ensure_last_value=ensure_last_value) - X_embedded = [] - for x in X: - x_embedded = func(x[None, ...])[0] - X_embedded.append(x_embedded) + X_embedded = [func(x[None, ...])[0] for x in X] return X_embedded diff --git a/setup.py b/setup.py index 3c76b4075..b50a1de8f 100755 --- a/setup.py +++ b/setup.py @@ -29,7 +29,7 @@ MAINTAINER_EMAIL = "maintainers@giotto.ai" URL = "https://github.com/giotto-ai/giotto-tda" LICENSE = "GNU AGPLv3" -DOWNLOAD_URL = "https://github.com/giotto-ai/giotto-tda/tarball/v0.3.0" +DOWNLOAD_URL = "https://github.com/giotto-ai/giotto-tda/tarball/v0.3.1" VERSION = __version__ # noqa CLASSIFIERS = ["Intended Audience :: Science/Research", "Intended Audience :: Developers",