{ "cells": [ { "cell_type": "markdown", "id": "2720eebc", "metadata": {}, "source": [ "# Explore Hyperbolic Geometry" ] }, { "cell_type": "markdown", "id": "87c6f038-2b67-41ef-86a2-84d110626a3c", "metadata": {}, "source": [ "### Imports & Setup" ] }, { "cell_type": "code", "execution_count": 13, "id": "eccc7e30-f917-4c9a-bf51-29ebdd95c638", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working directory: /Users/facosta/Desktop/code/neurometry/neurometry/neuralwarp\n", "Directory added to path: /Users/facosta/Desktop/code/neurometry/neurometry\n", "Directory added to path: /Users/facosta/Desktop/code/neurometry/neurometry/neuralwarp\n", "['/Users/facosta/Desktop/code/neurometry/neurometry/neuralwarp', '/Users/facosta/miniconda3/envs/neurometry/lib/python38.zip', '/Users/facosta/miniconda3/envs/neurometry/lib/python3.8', '/Users/facosta/miniconda3/envs/neurometry/lib/python3.8/lib-dynload', '', '/Users/facosta/miniconda3/envs/neurometry/lib/python3.8/site-packages', '/Users/facosta/Desktop/code/neurometry', '/Users/facosta/Desktop/code/neurometry/neurometry', '/Users/facosta/Desktop/code/neurometry/neurometry/neuralwarp', '/Users/facosta/Desktop/code/neurometry', '/Users/facosta/Desktop/code/neurometry/neurometry', '/Users/facosta/Desktop/code/neurometry/neurometry/neuralwarp']\n" ] } ], "source": [ "import setup\n", "\n", "setup.main()\n", "\n", "import os\n", "\n", "os.environ[\"GEOMSTATS_BACKEND\"] = \"pytorch\"\n", "\n", "import geomstats.backend as gs\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from geomstats.geometry.hyperboloid import Hyperboloid\n", "from geomstats.geometry.pullback_metric import PullbackDiffeoMetric, PullbackMetric\n", "from viz import plot_grids\n", "\n", "import neurometry.datasets.gridcells as gridcells\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "7c7dccc8-5c70-4a98-8ba3-0422dd45b46d", "metadata": {}, "source": [ "## Hyperbolic Geometry" ] }, { "cell_type": "code", "execution_count": 14, "id": "5a3683e6-08e9-47d3-afd0-34ae1cfb5656", "metadata": { "tags": [] }, "outputs": [], "source": [ "H2 = Hyperboloid(dim=2)\n", "\n", "\n", "def convert_to_poincare_coordinates(points):\n", " return points[1:] / (1 + points[:1])\n", "\n", "\n", "def hyperbolic_warp(point):\n", " extrinsic_point = H2.from_coordinates(point, \"intrinsic\")\n", " return convert_to_poincare_coordinates(extrinsic_point)\n", "\n", "\n", "warp = hyperbolic_warp" ] }, { "cell_type": "code", "execution_count": 16, "id": "883c5249-6883-4909-82a9-117f7bfe43ca", "metadata": { "tags": [] }, "outputs": [], "source": [ "# old geomstats\n", "pullback_metric = PullbackMetric(dim=2, embedding_dim=2, immersion=warp)" ] }, { "cell_type": "code", "execution_count": 15, "id": "f59493ce-ae96-4a43-81c5-9937285dde4e", "metadata": { "tags": [] }, "outputs": [ { "ename": "TypeError", "evalue": "Can't instantiate abstract class PlaneWarpMetric with abstract methods define_embedding_metric", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[15], line 12\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21minverse_diffeomorphism\u001b[39m(\u001b[38;5;28mself\u001b[39m, base_point):\n\u001b[1;32m 10\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m warp(base_point)\n\u001b[0;32m---> 12\u001b[0m pullback_metric \u001b[38;5;241m=\u001b[39m \u001b[43mPlaneWarpMetric\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n", "\u001b[0;31mTypeError\u001b[0m: Can't instantiate abstract class PlaneWarpMetric with abstract methods define_embedding_metric" ] } ], "source": [ "# new geomstats\n", "class PlaneWarpMetric(PullbackDiffeoMetric):\n", " def __init__(self):\n", " super().__init__(space=Euclidean(dim=2))\n", "\n", " def _define_embedding_space(self):\n", " return Euclidean(dim=2)\n", "\n", " def diffeomorphism(self, base_point):\n", " return warp(base_point)\n", "\n", " def inverse_diffeomorphism(self, base_point):\n", " return warp(base_point)\n", "\n", "\n", "pullback_metric = PlaneWarpMetric()" ] }, { "cell_type": "code", "execution_count": 5, "id": "b421250f-8f93-4c24-a9c2-000c325c6392", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "tensor(0.5221)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point_a = gs.array([0.0, 0.0])\n", "point_b = gs.array([1.0, 1.0])\n", "pullback_metric.dist(point_a, point_b)" ] }, { "cell_type": "markdown", "id": "874de1ce-9321-4fa8-ad07-ddd0123a0bca", "metadata": {}, "source": [ "## Plot volume element $\\sqrt{|\\text{det}(g)|}$" ] }, { "cell_type": "code", "execution_count": 7, "id": "13a1f7d8-f131-4a72-95e3-fa14d359f0f3", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = gs.linspace(-2, 2, 50)\n", "y = gs.linspace(-2, 2, 50)\n", "x_grid, y_grid = gs.meshgrid(x, y)\n", "\n", "\n", "# Combine and reshape the x and y coordinates into a list of 2D points\n", "points = gs.vstack((x_grid.ravel(), y_grid.ravel())).T\n", "\n", "\n", "# Define your function\n", "def volume_element(x, y):\n", " point = gs.array([x, y])\n", " g = pullback_metric.metric_matrix(point)\n", " return gs.sqrt(gs.abs(gs.linalg.det(g)))\n", "\n", "\n", "# Apply the function to each point in the list\n", "values = gs.array([volume_element(x, y) for x, y in points])\n", "\n", "# Reshape the values back into a 2D grid\n", "z_values = values.reshape(x_grid.shape)\n", "\n", "# Create the heatmap\n", "plt.imshow(\n", " z_values, origin=\"lower\", extent=[x.min(), x.max(), y.min(), y.max()], cmap=\"RdPu\"\n", ")\n", "plt.colorbar(label=\"Function Value\")\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")\n", "plt.title(\"Heatmap of volume element at (x, y)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c27e6a32-24bc-4700-8a11-0be7efc02201", "metadata": {}, "source": [ "## Visualize geodesic grid" ] }, { "cell_type": "code", "execution_count": 11, "id": "462c5c7c-9659-4e16-be60-1033938c8497", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\"\"\"Plot a grid on H2 with Poincare Disk visualization.\"\"\"\n", "\n", "import geomstats.backend as gs\n", "import geomstats.visualization as visualization\n", "import matplotlib.pyplot as plt\n", "from geomstats.geometry.hyperboloid import Hyperboloid\n", "\n", "H2 = Hyperboloid(dim=2)\n", "METRIC = H2.metric\n", "\n", "# from geomstats.geometry.euclidean import Euclidean\n", "\n", "# R2 = Euclidean(dim=2)\n", "# METRIC = R2.metric\n", "\n", "left = -4.0\n", "right = 4.0\n", "bottom = -4.0\n", "top = 4.0\n", "grid_size = 32\n", "n_steps = 512\n", "\n", "\n", "\"\"\"Plot a grid on H2 with Poincare Disk visualization.\n", "\n", "Parameters\n", "----------\n", "left, right, bottom, top : ints\n", " Grid's coordinates\n", "grid_size : int\n", " Grid's size.\n", "n_steps : int\n", " Number of steps along the geodesics defining the grid.\n", "\"\"\"\n", "starts = []\n", "ends = []\n", "for p in gs.linspace(left, right, grid_size):\n", " starts.append(gs.array([top, p]))\n", " ends.append(gs.array([bottom, p]))\n", "for p in gs.linspace(top, bottom, grid_size):\n", " starts.append(gs.array([p, left]))\n", " ends.append(gs.array([p, right]))\n", "\n", "starts = [H2.from_coordinates(s, \"intrinsic\") for s in starts]\n", "ends = [H2.from_coordinates(e, \"intrinsic\") for e in ends]\n", "ax = plt.gca()\n", "for start, end in zip(starts, ends, strict=False):\n", " geodesic = METRIC.geodesic(initial_point=start, end_point=end)\n", "\n", " t = gs.linspace(0.0, 1.0, n_steps)\n", " points_to_plot = geodesic(t)\n", " visualization.plot(points_to_plot, ax=ax, space=\"H2_poincare_disk\", marker=\".\", s=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "bfe5e42a-4ab8-4688-8938-ad6f61c0e3f9", "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hyperboloid import Hyperboloid\n", "\n", "H2 = Hyperboloid(dim=2)\n", "\n", "\n", "def hyperbolic_wrap(s):\n", " return H2.from_coordinates(s, \"intrinsic\")" ] }, { "cell_type": "code", "execution_count": null, "id": "c538a84b-f4fa-4222-afb1-b469892a8451", "metadata": {}, "outputs": [], "source": [ "visualization.plot(points_to_plot, ax=ax, space=\"H2_poincare_disk\", marker=\".\", s=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "9b0d71c4-384a-4710-9e39-0458b530464a", "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.poincare_ball import PoincareBall\n", "\n", "H2 = PoincareBall(dim=2)\n", "\n", "\n", "def hyperbolic_wrap(point):\n", " return H2.change_coordinates_system(\n", " point, from_coordinates_system=\"intrinsic\", to_coordinates_system=\"ball\"\n", " )" ] }, { "cell_type": "code", "execution_count": null, "id": "8f11e2f0-d13e-4a26-9583-2c64672ed034", "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hyperboloid import Hyperboloid\n", "\n", "H2 = Hyperboloid(dim=2) # extrinsic coordinates\n", "\n", "\n", "def convert_to_poincare_coordinates(points):\n", " return points[1:] / (1 + points[:1])\n", "\n", "\n", "# def convert_to_klein_coordinates(points):\n", "# poincare_coords = points[:, 1:] / (1 + points[:, :1])\n", "# poincare_radius = gs.linalg.norm(poincare_coords, axis=1)\n", "# poincare_angle = gs.arctan2(poincare_coords[:, 1], poincare_coords[:, 0])\n", "\n", "# klein_radius = 2 * poincare_radius / (1 + poincare_radius**2)\n", "# klein_angle = poincare_angle\n", "\n", "# coords_0 = gs.expand_dims(klein_radius * gs.cos(klein_angle), axis=1)\n", "# coords_1 = gs.expand_dims(klein_radius * gs.sin(klein_angle), axis=1)\n", "# klein_coords = gs.concatenate([coords_0, coords_1], axis=1)\n", "# return klein_coords\n", "\n", "\n", "def convert_to_klein_coordinates(points):\n", " \"\"\"Convert from extrinsic to klein coordinates.\"\"\"\n", " poincare_coords = points[1:] / (1 + points[:1])\n", " poincare_radius = gs.linalg.norm(poincare_coords)\n", " poincare_angle = gs.arctan2(poincare_coords[1], poincare_coords[0])\n", "\n", " klein_radius = 2 * poincare_radius / (1 + poincare_radius**2)\n", " klein_angle = poincare_angle\n", "\n", " coords_0 = klein_radius * gs.cos(klein_angle)\n", " coords_1 = klein_radius * gs.sin(klein_angle)\n", " return gs.array([coords_0, coords_1])\n", "\n", "\n", "def hyperbolic_wrap(point):\n", " \"\"\"Hyperbolic wrap happens in two steps:\n", " - convert from intrinsic to extrinsic\n", " - convert from extrinsic to klein/poincare**\n", " \"\"\"\n", " extrinsic_point = H2.from_coordinates(point, \"intrinsic\")\n", " return convert_to_klein_coordinates(extrinsic_point)" ] }, { "cell_type": "markdown", "id": "4d098b51-f779-42a1-bee7-ffa15a648a11", "metadata": {}, "source": [ "## Plot grids on hyperbolic space" ] }, { "cell_type": "code", "execution_count": 17, "id": "7829b59b-38a7-4d2b-aee3-8c4702ecea74", "metadata": { "tags": [] }, "outputs": [ { "ename": "NameError", "evalue": "name 'lx' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[17], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m grids, grids_warped \u001b[38;5;241m=\u001b[39m gridcells\u001b[38;5;241m.\u001b[39mgenerate_all_grids(\n\u001b[0;32m----> 2\u001b[0m grid_scale, \u001b[43mlx\u001b[49m, ly, arena_dims, n_cells, grid_orientation_mean, grid_orientation_std, warp\u001b[38;5;241m=\u001b[39mhyperbolic_wrap, lattice_type \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124msquare\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[0;31mNameError\u001b[0m: name 'lx' is not defined" ] } ], "source": [ "grids, grids_warped = gridcells.generate_all_grids(\n", " grid_scale,\n", " lx,\n", " ly,\n", " arena_dims,\n", " n_cells,\n", " grid_orientation_mean,\n", " grid_orientation_std,\n", " warp=hyperbolic_wrap,\n", " lattice_type=\"square\",\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "d8dc2255-77ea-497e-a688-48c711a2636d", "metadata": {}, "outputs": [], "source": [ "plot_grids(grids, arena_dims)\n", "plot_grids(grids_warped, arena_dims)" ] }, { "cell_type": "code", "execution_count": 9, "id": "f8ef58c8-0244-4acd-a0d0-c6382ef71d95", "metadata": { "tags": [] }, "outputs": [], "source": [ "# import neurometry.datasets.structures as structures\n", "import neurometry.datasets.gridcells as gridcells\n", "\n", "scale = 1\n", "lattice_type = \"hexagonal\"\n", "dimensions = np.array([4, 4])\n", "n_cells = 1\n", "\n", "# lattice = structures.get_lattice(scale,lattice_type,dimensions)" ] }, { "cell_type": "code", "execution_count": 12, "id": "867ca103-3321-42d7-a31c-a3248e336038", "metadata": { "tags": [] }, "outputs": [ { "ename": "NameError", "evalue": "name 'lx' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[12], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m grids, grids_warped \u001b[38;5;241m=\u001b[39m \u001b[43mgridcells\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgenerate_all_grids\u001b[49m\u001b[43m(\u001b[49m\u001b[43mscale\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdimensions\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mn_cells\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mwarp\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mhyperbolic_warp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mlattice_type\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43msquare\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Desktop/code/neurometry/neurometry/datasets/gridcells.py:111\u001b[0m, in \u001b[0;36mgenerate_all_grids\u001b[0;34m(grid_scale, arena_dims, n_cells, grid_orientation_mean, grid_orientation_std, warp, lattice_type)\u001b[0m\n\u001b[1;32m 105\u001b[0m angle_i \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mnormal(grid_orientation_mean, grid_orientation_std) \u001b[38;5;241m*\u001b[39m (\n\u001b[1;32m 106\u001b[0m np\u001b[38;5;241m.\u001b[39mpi \u001b[38;5;241m/\u001b[39m \u001b[38;5;241m180\u001b[39m\n\u001b[1;32m 107\u001b[0m )\n\u001b[1;32m 108\u001b[0m rot_i \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray(\n\u001b[1;32m 109\u001b[0m [[np\u001b[38;5;241m.\u001b[39mcos(angle_i), \u001b[38;5;241m-\u001b[39mnp\u001b[38;5;241m.\u001b[39msin(angle_i)], [np\u001b[38;5;241m.\u001b[39msin(angle_i), np\u001b[38;5;241m.\u001b[39mcos(angle_i)]]\n\u001b[1;32m 110\u001b[0m )\n\u001b[0;32m--> 111\u001b[0m phase_i \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmultiply([\u001b[43mlx\u001b[49m, ly], np\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mrand(\u001b[38;5;241m2\u001b[39m))\n\u001b[1;32m 112\u001b[0m lattice_i \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmatmul(rot_i, ref_lattice\u001b[38;5;241m.\u001b[39mT)\u001b[38;5;241m.\u001b[39mT \u001b[38;5;241m+\u001b[39m phase_i\n\u001b[1;32m 113\u001b[0m \u001b[38;5;66;03m#lattice_i = np.where(abs(lattice_i) < arena_dims / 2, lattice_i, None)\u001b[39;00m\n", "\u001b[0;31mNameError\u001b[0m: name 'lx' is not defined" ] } ], "source": [ "grids, grids_warped = gridcells.generate_all_grids(\n", " scale, dimensions, n_cells, warp=hyperbolic_warp, lattice_type=\"square\"\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "480eaaa6-9773-40b5-8b19-de2586ebbec1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }