{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: ECT for Embedded Cell Complexes\n", "\n", "This tutorial will walk you through using the `ECT` package. Particularly we will show the features of `EmbeddedComplex` class for computing the Euler Characteristic Transform on complexes with arbitrary dimensional cells.\n", "\n", "The `EmbeddedComplex` class combines and extends the functionality of the previous `EmbeddedGraph` and `EmbeddedCW` classes, supporting **k-cells** for k ≥ 2.\n", "\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ect import EmbeddedComplex, ECT, Directions\n", "from ect.utils.examples import create_example_graph, create_example_cw, create_example_3d_complex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Usage: Creating Simple Complexes\n", "\n", "### Example 1: Graph (1-skeleton)\n", "\n", "Let's start with a simple triangle graph (for legacy users this can be equivalently done using `EmbeddedGraph`). " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of nodes: 3\n", "Number of edges: 3\n", "Embedding dimension: 2\n" ] } ], "source": [ "K = EmbeddedComplex()\n", "\n", "K.add_node('A', [0, 0])\n", "K.add_node('B', [1, 0])\n", "K.add_node('C', [0.5, 0.866])\n", "\n", "K.add_edge('A', 'B')\n", "K.add_edge('B', 'C')\n", "K.add_edge('C', 'A')\n", "\n", "#using built-in plotting function along with matplotlib\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "K.plot(ax=ax, with_labels=True, node_size=400)\n", "ax.set_title('Simple Triangle Graph\\n(0-cells: vertices, 1-cells: edges)')\n", "plt.show()\n", "\n", "#print some information about the complex\n", "print(f\"Number of nodes: {len(K.nodes())}\")\n", "print(f\"Number of edges: {len(K.edges())}\")\n", "print(f\"Embedding dimension: {K.dim}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's add a 2-cell (face) to fill in the triangle:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of 2-cells (faces): 1\n", "Faces: [('A', 'B', 'C')]\n", "Internal cells dictionary: {2: [(0, 1, 2)]}\n" ] } ], "source": [ "K.add_face(['A', 'B', 'C'])\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "K.plot(ax=ax, with_labels=True, node_size=400, face_alpha=0.3, face_color='lightblue')\n", "ax.set_title('Triangle with Face\\n(0-cells: vertices, 1-cells: edges, 2-cells: faces)')\n", "plt.show()\n", "\n", "print(f\"Number of 2-cells (faces): {len(K.faces)}\")\n", "print(f\"Faces: {K.faces}\")\n", "print(f\"Internal cells dictionary: {dict(K.cells)}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding Cells of Arbitrary Dimension\n", "\n", "The key new feature is the ability to add cells of any dimension:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Dimension 2: 4 cells\n", "Dimension 3: 1 cells\n", "\n", "Total embedding dimension: 3\n" ] } ], "source": [ "# Create a 3D tetrahedron with 0, 1, 2, and 3-cells\n", "K_tetra = EmbeddedComplex()\n", "\n", "# Add vertices (0-cells)\n", "vertices = {\n", " 'A': [0, 0, 0],\n", " 'B': [1, 0, 0],\n", " 'C': [0.5, 0.866, 0],\n", " 'D': [0.5, 0.289, 0.816] \n", "}\n", "\n", "for name, coord in vertices.items():\n", " K_tetra.add_node(name, coord)\n", "\n", "# Add edges (1-cells) - all pairs\n", "edges = [('A', 'B'), ('A', 'C'), ('A', 'D'), ('B', 'C'), ('B', 'D'), ('C', 'D')]\n", "K_tetra.add_edges_from(edges)\n", "\n", "# Add faces (2-cells) - all triangular faces\n", "faces = [['A', 'B', 'C'], ['A', 'B', 'D'], ['A', 'C', 'D'], ['B', 'C', 'D']]\n", "for face in faces:\n", " K_tetra.add_cell(face, dim=2) # Explicitly specify dimension\n", "\n", "# Add volume (3-cell) - the entire tetrahedron\n", "K_tetra.add_cell(['A', 'B', 'C', 'D'], dim=3)\n", "\n", "# Plot the tetrahedron\n", "fig = plt.figure(figsize=(10, 8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "K_tetra.plot(ax=ax, face_alpha=0.3, face_color='cyan', node_size=100)\n", "ax.set_title('Tetrahedron with All Cell Types\\n0-cells: 4, 1-cells: 6, 2-cells: 4, 3-cells: 1')\n", "plt.show()\n", "\n", "# Display cell counts\n", "for dim in sorted(K_tetra.cells.keys()):\n", " print(f\"Dimension {dim}: {len(K_tetra.cells[dim])} cells\")\n", " \n", "print(f\"\\nTotal embedding dimension: {K_tetra.dim}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ECT Computation with Higher-Dimensional Cells\n", "\n", "The ECT computation now properly includes all cell dimensions in the Euler characteristic calculation:\n", "\n", "**χ = Σ(-1)^k × |k-cells below threshold|**\n", "\n", "Let's see how this works:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ECT result shape: (8, 20)\n", "Directions: 8 directions in 3D\n", "Thresholds: 20 threshold values\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute ECT for the tetrahedron\n", "ect = ECT(num_dirs=8, num_thresh=20)\n", "result = ect.calculate(K_tetra)\n", "\n", "print(f\"ECT result shape: {result.shape}\")\n", "print(f\"Directions: {len(result.directions)} directions in {K_tetra.dim}D\")\n", "print(f\"Thresholds: {len(result.thresholds)} threshold values\")\n", "\n", "# Plot the ECT matrix\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "result.plot()\n", "plt.title('ECT of Tetrahedron (includes 3-cells in computation)')\n", "plt.show()\n", "\n", "single_direction = ECT(num_thresh=20, directions=Directions.from_vectors([[1, 0, 0]])).calculate(K_tetra)\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "ax.plot(single_direction.thresholds, single_direction[0], 'b-', marker='o', linewidth=2)\n", "ax.set_xlabel('Threshold')\n", "ax.set_ylabel('Euler Characteristic')\n", "ax.set_title('ECT Curve for Single Direction (v=[1, 0, 0])')\n", "ax.grid(True, alpha=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Validation System\n", "Sometimes we need our `EmbeddedComplex` to satisfy certain constraints such as no-self intersections. You can enforce these constraints using " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Edge Interior Validation: Vertex 4 lies on edge interior\n", "adding intersecting edge failed\n", "4D Simplex Cell Counts:\n", " 1-cells: 1\n", " 2-cells: 4\n", " 3-cells: 1\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K_tetra.enable_embedding_validation()\n", "#add intersecting edge\n", "K_tetra.add_node(\"E\", [0.5,0,0])\n", "try:\n", " K_tetra.add_cell([\"A\", \"B\"], dim=1, check=True)\n", "except Exception as e:\n", " print(e)\n", " print(\"adding intersecting edge failed\") \n", "\n", "K_tetra.disable_embedding_validation()\n", "K_tetra.add_cell([\"A\", \"B\"], dim=1)\n", "\n", "print(\"4D Simplex Cell Counts:\")\n", "for dim in sorted(K_tetra.cells.keys()):\n", " print(f\" {dim}-cells: {len(K_tetra.cells[dim])}\")\n", "\n", "# Plot (showing 3D projection)\n", "fig = plt.figure(figsize=(10, 8))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "K_tetra.plot(ax=ax, face_alpha=0.1, node_size=80)\n", "ax.set_title(\"4D Simplex (5 vertices, cells up to dimension 4)\")\n", "plt.show()\n", "\n", "# Compute ECT\n", "ect_4d = ECT(num_dirs=6, num_thresh=15)\n", "result_4d = ect_4d.calculate(K_tetra)\n", "\n", "result_4d.plot()\n", "plt.title(\"ECT of 4D Simplex\")\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "dataexp", "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": "3.11.8" } }, "nbformat": 4, "nbformat_minor": 4 }