diff --git a/docs/user-guide/weights/kernels.ipynb b/docs/user-guide/weights/kernels.ipynb new file mode 100644 index 000000000..9f054bfe6 --- /dev/null +++ b/docs/user-guide/weights/kernels.ipynb @@ -0,0 +1,353 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "2443d52a-d3ab-473a-b493-7e46699fde43", + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "import libpysal._kernels as _kernels" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "8e881f35-2027-4d7e-98d8-5e573bbd504d", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "568f189b-9a36-4350-a94c-ea2ea930a15d", + "metadata": {}, + "outputs": [], + "source": [ + "x = np.arange(101)\n", + "d = np.abs(x-50)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "978724c1-0aca-4ace-85f9-a7de8469a118", + "metadata": {}, + "outputs": [], + "source": [ + "k50 = _kernels._kernel(d, 50)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "befcc2ae-c303-4fa7-b78d-824a5efeebb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.00483941, 0.00493619, 0.00503289, 0.00512943, 0.00522573,\n", + " 0.0053217 , 0.00541728, 0.00551236, 0.00560688, 0.00570073,\n", + " 0.00579383, 0.0058861 , 0.00597745, 0.00606779, 0.00615703,\n", + " 0.00624508, 0.00633186, 0.00641728, 0.00650125, 0.00658368,\n", + " 0.00666449, 0.0067436 , 0.00682092, 0.00689636, 0.00696985,\n", + " 0.00704131, 0.00711065, 0.00717781, 0.0072427 , 0.00730525,\n", + " 0.0073654 , 0.00742308, 0.00747821, 0.00753074, 0.00758061,\n", + " 0.00762776, 0.00767213, 0.00771367, 0.00775233, 0.00778808,\n", + " 0.00782085, 0.00785063, 0.00787737, 0.00790103, 0.0079216 ,\n", + " 0.00793905, 0.00795335, 0.0079645 , 0.00797247, 0.00797725,\n", + " 0.00797885, 0.00797725, 0.00797247, 0.0079645 , 0.00795335,\n", + " 0.00793905, 0.0079216 , 0.00790103, 0.00787737, 0.00785063,\n", + " 0.00782085, 0.00778808, 0.00775233, 0.00771367, 0.00767213,\n", + " 0.00762776, 0.00758061, 0.00753074, 0.00747821, 0.00742308,\n", + " 0.0073654 , 0.00730525, 0.0072427 , 0.00717781, 0.00711065,\n", + " 0.00704131, 0.00696985, 0.00689636, 0.00682092, 0.0067436 ,\n", + " 0.00666449, 0.00658368, 0.00650125, 0.00641728, 0.00633186,\n", + " 0.00624508, 0.00615703, 0.00606779, 0.00597745, 0.0058861 ,\n", + " 0.00579383, 0.00570073, 0.00560688, 0.00551236, 0.00541728,\n", + " 0.0053217 , 0.00522573, 0.00512943, 0.00503289, 0.00493619,\n", + " 0.00483941])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "k50" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d0da9669-8b5b-4200-a619-39e2cf00be97", + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(index=x)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "5d99ade9-c49e-4def-8065-c1909e7ee11c", + "metadata": {}, + "outputs": [], + "source": [ + "for bw in [10, 20, 30, 40, 50]:\n", + " df[f'g{bw}'] = _kernels._kernel(d, bw)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "31d8c350-667e-4d36-90aa-97505a464714", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 565 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "df.plot() # gaussian" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "40712166-3fd9-4626-8653-7112694c20e1", + "metadata": {}, + "outputs": [], + "source": [ + "for bw in [10, 20, 30, 40, 50]:\n", + " df[f't{bw}'] = _kernels._kernel(d, bw, kernel='triangular')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "bff28ab6-a75b-4f5d-809f-042ce81c1450", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "image/png": { + "height": 413, + "width": 556 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "df.plot() # gaussian" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "90bdd767-ffb5-425c-beb9-fe351d4faa3f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.0025,\n", + " 0.005 , 0.0075, 0.01 , 0.0125, 0.015 , 0.0175, 0.02 , 0.0225,\n", + " 0.025 , 0.0275, 0.03 , 0.0325, 0.035 , 0.0375, 0.04 , 0.0425,\n", + " 0.045 , 0.0475, 0.05 , 0.0475, 0.045 , 0.0425, 0.04 , 0.0375,\n", + " 0.035 , 0.0325, 0.03 , 0.0275, 0.025 , 0.0225, 0.02 , 0.0175,\n", + " 0.015 , 0.0125, 0.01 , 0.0075, 0.005 , 0.0025, 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. ])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + " _kernels._kernel(d, 20, kernel='triangular')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "772da795-483d-4dfd-9753-b1b4c7f8ea56", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:libpysal]", + "language": "python", + "name": "conda-env-libpysal-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/libpysal/graph/_kernel.py b/libpysal/graph/_kernel.py index 344ec30c6..e495bed3d 100644 --- a/libpysal/graph/_kernel.py +++ b/libpysal/graph/_kernel.py @@ -140,9 +140,9 @@ def _kernel( coordinates, ids=ids, valid_geometry_types=_VALID_GEOMETRY_TYPES ) else: - assert coordinates.shape[0] == coordinates.shape[1], ( - "coordinates should represent a distance matrix if metric='precomputed'" - ) + assert ( + coordinates.shape[0] == coordinates.shape[1] + ), "coordinates should represent a distance matrix if metric='precomputed'" if ids is None: ids = numpy.arange(coordinates.shape[0]) diff --git a/libpysal/kernels.ipynb b/libpysal/kernels.ipynb new file mode 100644 index 000000000..64b32c267 --- /dev/null +++ b/libpysal/kernels.ipynb @@ -0,0 +1,194 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "52ddfb79-03b7-479e-aaf3-c6313273f7a1", + "metadata": {}, + "source": [ + "## Illustrating kernels in libpysal\n", + "\n", + "This is for discussion of [https://github.com/pysal/libpysal/pull/791](https://github.com/pysal/libpysal/pull/791).\n", + "\n", + "\n", + "Here we are trying to move basic kernel functionality upstream in lib so that it can be consumed elsehere (graph, other future modules?). " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "f4af1741-6377-4d45-8b48-a9a971237923", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import libpysal.kernels as kernels\n", + "\n", + "sns.set(style=\"whitegrid\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ff3d2da5-44b2-46e9-b0ab-f0974574ad1f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(0, 10, 10)\n", + "locations = x.reshape(-1, 1) # shape (10, 1)\n", + "\n", + "plt.figure(figsize=(8, 1))\n", + "plt.plot(x, np.zeros_like(x), 'o', markersize=10)\n", + "plt.title(\"1D Spatial Locations\")\n", + "plt.yticks([])\n", + "plt.xlabel(\"Location\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "25100347-a6ff-4338-af41-4a8bcf82ccc0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance matrix shape: (10, 10)\n" + ] + } + ], + "source": [ + "# Compute Pairwise Distance Matrix\n", + "\n", + "from scipy.spatial.distance import cdist\n", + "\n", + "D = cdist(locations, locations, metric='euclidean')\n", + "\n", + "print(\"Distance matrix shape:\", D.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "cc0cbfbe-b399-489d-a3d6-cec02a3ce2cb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Kernel Weights\n", + "\n", + "bandwidth = 3.0\n", + "kernel_names = [\"triangular\", \"parabolic\", \"gaussian\", \"bisquare\", \"cosine\", \"exponential\", \"boxcar\"]\n", + "\n", + "# Create a plot of weight curves for each kernel\n", + "d_vals = np.linspace(0, 5, 200)\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "for name in kernel_names:\n", + " w = kernels.kernel(d_vals, bandwidth, kernel=name)\n", + " plt.plot(d_vals, w, label=name)\n", + "\n", + "plt.title(\"Kernel Weight Functions\")\n", + "plt.xlabel(\"Distance\")\n", + "plt.ylabel(\"Weight\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "23b5352b-7f96-42f2-a699-87853a0e505d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kBx544LjfB4BI5na7FR0draFDh+oPf/jDMceccsopkqSysjLddtttOvXUU1VcXKw777xTCxYs8BpfVVWlkpIS03vs0Uw42hhISEhQVVWV9u7da2pUGIahPXv2+GxUH0tiYqIyMzM1ZcqUY37/eJ8lESivv/66TjnlFP3tb38zfd7R4sWL63W/ABDuioqKTI2DqqoqlZaWKiEhoTY3du/erZNPPtk0b/fu3V7/P//nP/9ZBw8e1Omnn66ZM2fq7LPPVvPmzSWpNm9OtI6Rjryf//73v9ctt9xi2l5SUiK32+01ns+4AwAAkYzbPcER8fHx6tGjh1auXFl7NtIvZWdn65NPPvFaAPzjH/9Qo0aN1L17d685brdbF110kf7whz+otLS0TrfbOKpfv37avn27EhISlJWV5fV19B/eACBSNWrUSD179tTXX3+tzMzMY75XHv0HoD//+c/66aefNG/ePM2cOVNr1qzRokWLjvm8b7zxhunPb775piTpnHPOkXQkJ6Qj/xD0c2+//bbKyspqv29Hv3799N1336ldu3bHPA5fZ84ey9GrKw4fPuxzrMvlUmxsrOkfq4qKirR69Wrb+wWASPLLzHjrrbdUVVWlc845R7169ZLknRcbNmxQXl5e7fcl6ZVXXtHrr7+uP/3pT1qwYIE8Ho/uuOOO2u936NBB7dq102uvvaaKiorj1nP0/fzn3n//fZ/NDQAAgEjElRRwzB133KGrrrpKV1xxhUaPHq127dqpuLhYa9as0b333qvx48frvffe07XXXqvx48erefPmeuONN/T+++9r2rRpatasmSRpzJgxOv3009WlSxclJSWpoKBAixcvVmpqqtq3b1/nOkeOHKl33nlHI0aM0HXXXafMzEzV1NTop59+0gcffKA//vGP6tatW533A/zcjz/+qIULF+rLL7/U999/r7S0tNp/oPVl+fLleuKJJ1RQUKD27dtr/PjxGjRoUD1XjEh355136g9/+IOuvvpqXXXVVUpNTdXBgweVn5+vNWvW6Nlnn639h59Zs2bp9NNP1+mnn64RI0Zo9uzZOvPMM02fERQbG6tnnnlGZWVlysrK0ueff64FCxaob9++OvvssyVJvXv3Vp8+fTR79mwdOHBAZ555pjZv3qw5c+aoU6dOGjp0qO3jmDRpkj766CMNHz5c11xzjTp06KCKigrt2LFD69at07333ut1Fq4vGRkZkqSnnnpKffv2VVRUlDIzM2ubFz/Xr18/vfPOO7rnnns0cOBA7dy5U4899piSk5P1ww8/2D4eNGxkBfA/q1atUnR0tHr37q3vv/9ejz76qM444wwNGjRIcXFxuvLKK7VkyRJFRUWpb9++Kigo0KOPPqo2bdrouuuukyRt3rxZOTk5uuSSSzRs2DBJ0syZMzVp0iQtWrSodtzdd9+tsWPH6oorrtB1112nNm3a6KefftL69ev10EMPSTryfr58+XKlpaUpMzNTmzZt0sKFC21nCBAI5AUAINTRpIBjzjjjDL366quaM2eOHnroIR08eFCtWrVSr169FBcXp7S0NL300kt6+OGHdd999+nw4cNKT0/XrFmzTB+S2rNnT7399tt65ZVXdODAAbVq1Urnnnuuxo0b53X2kj8aN26s559/Xk8++aSWLl2qHTt2KD4+Xm3atNG5556r1NTUOu8D+KXvv/9ea9euVbdu3VRTUyPDMCzNW7lypW6//XaNHj1avXv31rvvvqubb75ZzZo1U58+feq5akSy0047TcuWLdNjjz2mv/3tb9q7d6+aNWum9u3b6/zzzzf9w8/P38OnT5+uzz//XFOmTNGKFStqb4ERGxurxx9/XDk5OVqwYIHi4+N1+eWX67bbbqud63K59Nhjj2nu3LlatmyZHn/8cSUkJGjo0KG65ZZbjtkE8CU5OVmvvvqqHnvsMS1cuFC7du1SkyZNlJqaqvPOO++Yt+jwZfDgwfrvf/+rF154QfPnz5dhGFq9evUxr8QbNmyYiouL9dJLL+m1115T27ZtNXr0aO3cuVPz5s2zvW80bGQF8D9z587V3Llz9eKLL8rlcql///6aMWNGbRbcc889atu2rV599VW98MILatq0qc477zzdeuutSkxMVFlZmaZMmaJTTjlFf/7zn2ufd+DAgbr66qtNDfXzzjtPS5Ys0fz585WTk6Py8nKdfPLJ6t+/f+28O++8UzExMXryySdVVlamTp06ae7cuXr00UeD/ncDkBcAgFDnMqymEwAgaGpqahQVdeSOfLfffru++uorS2c7DRo0SBkZGaYF8A033KD9+/fr5Zdfrrd6gUC6/fbb9fbbb+vzzz93uhQgpJEVAAAryAsAQKjjMykAIAQdXUTYsX37dm3dulWDBw82bR88eLA2bNhw3M9/AQCEJ7ICAGAFeQEACHU0KQCggdi6daskKS0tzbQ9PT1dhmHUfh8AELnICgCAFeQFACCY+EwKADiBzZs3q6Kiwq+53377rR5//PHjfn/16tX+lnVM+/btkySve+Y3b97c9H0g1OXm5io3N9fpMgBb/M0LsgIAIgdrCwAAjo0mBQCcQEVFhSoqDikueo+9edUta/8HPthcLpfpz0c/euiX2wEAgeNPXpAVABBZWFsAAHBsNCkAwIe46D3qePIkW3O+2TlHbdq0DfgZTSfy87OaWrZsWbvd4/FI8j4LCgAQWHbzgqwAgMjD2gIAAG98JgUA+GBIqjZqbH0ZDtR59H6xv7w/bF5enlwul9f9ZAEAgWU3L8gKAIg8rC0AAPDWIK+k+Pzzz2UYhmJjY50uBYDDKisr5XK59Ktf/apOz+PM0sCetm3bKi0tTf/617/0m9/8pnb7m2++qa5duyopKcnB6kIPWQHg5yIlL8gK+8gLAEdFSlZI5AUAILgaZJPCMAxVG1XaX1FieY5LUWqsZirTfhmqsTzvUFWQFisH7V30Eh3lUmLTk1RyoFzVNdb/ByjqQLndyoIiOjpKzVs3075d+1Vdbf31CVUcT/AktG6mmuq6LgIM1dh4Xzg6py4OHTqktWvXSpIKCgp04MABrVy5UpJ0zjnnKCkpSTNmzNCKFSv09ddf186bNGmSbr75ZrVr107nnnuuVq9erQ8//FB///vf61RPQ2QYhgyjUqreaX2OolVZ3UKx0cVyqdryvJ8qmvhTom1VFdG2xke7XGpx0kkqLi9XtWH9ZzZmL1kRDBxPcCW0bqaY2Lr+r7HdvCArwkEw8yJU+Z1/+SfVY1X+C/X3I7s4nuBhbUFeAADqR4NsUsTGxmp/RYlej37C8pxEo7UG1VyndVHLVOLaZXnemp2n+1OibdGvtbA1vm3LprrryrP02L82afueA5bnJS762G5pQZGS2VqTllyvZ6e+psLN1l+fUMXxBM+0FWPq/BxHLsm2tzAwJNXlo+SKi4s1efJk07ajf3722WfVs2dP1dTUqLra/A8FgwYN0uHDh/X4449r4cKFat++vR555BH16dOnDtU0TLGxsVL1TnU+ebLvwf+nrOJUbS7KVVrSbDWO+8HyvAmbhvpRoX07/ptia3yHpk314Dln6a8bNmnbAetZkTadrAgGjie4pq0YozYdkuv0HHbzgqwID8HMi1Dl7/Hccmb3equpLkL9/cgujid4WFuQFwCA+tEgmxQAEGjBviT7lFNO0ebNm084Jjc3V7m5uV7bL7nkEl1yySX1VRoA4ASCmRdkBQCEJ9YWAACY0aQAAAuqw+C+sQAA55EXAABfyAoAAMxoUgCAD4bsn+3EsgMAIo/dvCArACDysLYAAMAbTQoAsMDufWMBAJGJvAAA+EJWAABgRpMCACyocboAAEBYIC8AAL6QFQAAmEU5XYAkbdu2TTfccIO6d++u7Oxs5eTk6PDhw06XBQCSjlxeXS3D1hfnRgUeWQEg1NnNC7KifpAXAEIZawsAALw5fiWFx+PRyJEjlZKSojlz5mjv3r2aNWuWSktLNXv2bKfLAwBJUjUrA0eRFQDCBXnhLPICQDggKwAAMHO8SfHSSy/J4/FoxYoVSkpKkiRFR0dr6tSpGjt2rNLT0x2uEAC4JNtpZAWAcEFeOIu8ABAOyAoAAMwcv93TunXrlJ2dXbuIkKSBAwcqLi5Oa9eudbAyADjiyCXZLltfnBwVWGQFgHBgNy/IisAjLwCEOtYWAAB4c7xJkZeX53VGU1xcnNq1a6e8vDyHqgKAnzGkGptfrCQCi6wAEBbICseRFwBCHmsLAAC8OH67J4/HI7fb7bXd7XZr3759fj+vS1FKNFpbHu82kkyPVrWLSbA13l9RLZvaGn9yYiPTo1XuTOt/Z8HU6tQWpsdwx/EET0xstKoqq+v8PNVyBaAa+Ku+ssJQtMoqTrU8/nBliunRqtToRFvj/RXb1F5WpDRuZHq0PI+sCAqOJ7hiYqMD8jzkhbPCPS9Clb/HQ14EB8cTPKwtAACoH443KY7HMAy5XP4Hd2M106Ca62zP621cbOsshUEtbe/CP1f6N+3GCzvZ3M9Z/u0oSK7KudjpEgKK4wmO4oLSOs0/ekm23Tmof3XNisrqFtpclGt73o+lk2yNv7WZ7V345xz/pk3uYjMrlpAVwcTxhA+7eUFWBE+45EWos3s8k5bUUyEB0tDejzie4GBtAQBA4DnepHC73fJ4PF7b9+/fX6cPtivTfq2LWma9DiNJvY2L9aHrdXlcey3P+8/udv6UZ1vU6ua2xp+c2Eg3XthJf3/na+0sOWR5nvuNDXZLC4pWp7bQVTkX68W7XlfRD8VOl1NnHE/wjHz4MqdLQADUV1bERhcrLWm25fGHK1P0Y+kktU+Yo/jYQsvzRm/t50d19u3+ppWt8SmNG2lyl0569KuvVVhmPStS55AVwcDxBNfIhy9Tq1NC76xd2BPueRGq/D2e8QMz67Eq/4X6+5FdHE/wsLYAAKB+ON6kSE9P97o/bEVFhfLz8zVs2DC/n9dQjUpcu+xOkse119a8/Crvy8nrQ/Qe/25BsLPkkLbvOWB5fOJmm39nQVb0Q7EKQ7xGOzie+heIy7Elqcbgkmwn1VdWuFStxnE/2J4XH1toa15BdYntffhjxwF7t206qrDskLYdsJ4VrhD7Pf+lUHwvqguOJzjIi4Yh3PMi1Nk9nsLNCfVWSyCE6vuRvzie+kdWAABQPxz/4Oy+ffvqk08+UUnJ//4BZ9WqVaqoqND555/vYGUA8D/Vctn6QmCRFQDCBVnhLPICQDhgbQEAgJnjTYrhw4erWbNmGjdunNavX68VK1bo/vvv15AhQ+p0STYABIohl6oVZevLYDERUGQFgHBgNy/IisAjLwCEOtYWAAB4c/x2T263W4sXL1ZOTo4mTpyo+Ph4DR48WFOnTnW6NACoZfeSbP9u0IbjISsAhAs7eUFWBB55ASAcsLYAAMDM8SaFJHXo0EELFy50ugwAOC67l1mzkAg8sgJAOLCTF2RF/SAvAIQ61hYAAJiFRJMCAEKZIanasHd3PKN+SgEAhDC7eUFWAEDkYW0BAIA3mhQAYEGN8x/hAwAIA+QFAMAXsgIAADOaFADgk8v2Jdniw+0AIALZzQuyAgAiD2sLAAB+iSYFAPjAJdkAACu43RMAwBfWFgAAeKNJAQAW1HD2EgDAAvICAOALWQEAgFmDbVIcqorVmp2nWx7fLiZBg1pK/9ndTvlVbsvz+qd+7095tq0ZZm98TUz1kccB+1RdVWp5Xomy7e3IT4mLPg7KfoBAMCRV27xvLGc7hYefKppowqahlsenRifq1mbS6K39VFBdYnnee53/4U95tl0g68ciScnRiUceOxap0sbxbH0wOFmRNp2sQHixmxdkBRq6twu/CMp+BqZ0D8p+gEBgbQEAgLcG26QAgECye0k2ACAykRcAAF/ICgAAzGhSAIBPLtXYPNuJD7cDgEhkNy/ICgCIPKwtAAD4JZoUAODDkQ+3s7cw4JJsAIg8dvOCrACAyMPaAgAAbzQpAMACu/eNBQBEJvICAOALWQEAgBlNCgDwxZBq7N43ltOdACDy2M0LsgIAIg9rCwAAvNCkAAAfDLlsn+1kcN9YAIg4dvOCrACAyMPaAgAAbzQpAMACu/eNBQBEJvICAOALWQEAgBlNCgCwoIb7xgIALCAvAAC+kBUAAJjRpAAAHwxJ1TbvG8ttYwEg8tjNC7ICACIPawsAALzRvgcAAAAAAAAAAI7gSgoAsKCGD6sDAFhAXgAAfCErAAAwo0kBAD65bF+SLRYeABCB7OYFWQEAkYe1BQAAv0STAgB8MCRV27w7HveNBYDIYzcvyAoAiDysLQAA8EaTAgAsqDE4ewkA4Bt5AQDwhawAAMCMJgUAWGD3bCcAQGQiLwAAvpAVAACY0aQAAB8MuVRj876xBveNBYCIYzcvyAoAiDysLQAA8EaTAgAsqGZhAACwgLwAAPhCVgAAYEaTAgAssHu2EwAgMpEXAABfyAoAAMxIRgDwwdCRs53sfBl13Oe2bdt0ww03qHv37srOzlZOTo4OHz7sc15ZWZlmz56tX//61+rWrZsuvPBCzZ07VxUVFXWsCADgi928ICsAIPKwtgAAwBtXUgCABcE828nj8WjkyJFKSUnRnDlztHfvXs2aNUulpaWaPXv2Cefec889evfdd3XzzTfr9NNP14YNGzRnzhzt27dPd911V5COAAAiV7DygqwAgPDF2gIAADOaFADgi+FStd2FhOH/fWZfeukleTwerVixQklJSZKk6OhoTZ06VWPHjlV6evox51VVVWnlypW68cYbdc0110iSevXqpcLCQv3rX/9iIQEA9c1uXpAVABB5WFsAAOCF2z0BgA+GpBq5bH3V5ZLsdevWKTs7u3YRIUkDBw5UXFyc1q5de/w6DUPV1dVq1qyZabvb7ZZh1PUicQCAL3bzgqwAgMjD2gIAAG9cSQEAFtg+20nSTz/9pClTphz3+6tXrz7m9ry8PA0bNsy0LS4uTu3atVNeXt5xny82NlaXXnqpnnvuOZ155pk67bTTtHHjRr388ssaMWKE7foBAPbZzQuyAgAiD2sLAADMaFIAgAU1dbjE2i6PxyO32+213e12a9++fSece8899+jPf/6zrrjiitpt11xzjSZMmBDwOgEA3oKVF2QFAIQv1hYAAJjRpAAAHwxJ1TbvjmdIatOmzXHPaPKrDsOQy3XiBc3s2bP1/vvv6/7771eHDh20adMmzZkzR263W5MmTQpYLQAAb3bzgqwAgMjD2gIAAG8Nt0lxMErRr7WwPDyqZVPpSilqdXNF74m2PG/NMN9jAqF/6ve2xicaraUaqUdyvk5z7bI8L1jHU6JsW+ObtmwqSfIM6aqS7AOW5yUu+tjWfoBjc/lxtpP/Z0e53W55PB6v7fv37z/uB9tJ0nfffaenn35ajz32mAYMGCBJ6tGjh1wul/7yl7/o6quvVosW1t8XI0FVRbR2/DfF8vjYpk2lc6Td37TSjgONLM+7QEP9Kc+29zr/w9b4sopTtbnoIj2Z9r4ax/1geV6wjmfrg/aywmh6JCsKJnXVtgPWsyJtOlmBQLGbF2QFEAhvF35ha/yR/JPmv73ZVv4NTOluaz/AsbG2AADgl/jgbACwoEZRtr7qIj093ev+sBUVFcrPzz/hQmLLli2SpI4dO5q2d+zYUVVVVSooKKhTXQAA38gKAIAvrC0AADCjSQEAPhiSqg2XrS+jDvvr27evPvnkE5WUlNRuW7VqlSoqKnT++ecfd15qaqokadOmTabtX331lSTplFNOqUNVAABf7OYFWQEAkYe1BQAA3hru7Z4AIICC+eF2w4cP15IlSzRu3DiNGzdOxcXFys3N1ZAhQ0xnO82YMUMrVqzQ119/LUnq0qWLunbtqj//+c/as2ePOnTooI0bN+qxxx7Tb3/7WyUlJQXtGAAgUgUrL8gKAAhfrC0AADCjSQEAFtQYwbvwzO12a/HixcrJydHEiRMVHx+vwYMHa+rUqeaaampUXV1d++fo6Gg9/vjjevTRR/XUU09pz549atOmjUaMGKExY8YErX4AiGTByguyAgDCF2sLAADMaFIAQAjq0KGDFi5ceMIxubm5ys3NNW1r0aKF7rvvvvosDQAQIsgKAIAV5AUAINTRpAAAHwy5VC17l2QbNscDAMKf3bwgKwAg8rC2AADAG00KALAgmPeNBQCEL/ICAOALWQEAgJnjTYq33npLb7zxhjZt2qR9+/apbdu2uuqqqzR8+HBFRQXvPo0AcFyGVCPej5xEVgAIC+SF48gLACGPrAAAwIvjTYpnnnlGKSkpuu2229SiRQt9+umnmjlzprZv367p06c7XR4ASJJquMTaUWQFgHBBXjiLvAAQDsgKAADMHG9SPP7440pKSqr9c69evVRWVqbnn39eN998s+Li4hysDgAkQ1K1zUuyuYI7sMgKAOHAbl6QFYFHXgAIdawtAADw5vg1hj9fRBzVsWNHlZeXq7S0NPgFAcAx1BhRtr4QWGQFgHBBVjiLvAAQDlhbAABg5viVFMfy2WefKSEhQS1atHC6FACQ5PLjw+043am+kRUAQo/dvCArgoG8ABBaWFsAAPBLIdek2Lhxo5YtW6bx48crOjra7+eJjnKpbcumlsefnNjI9GhVTUy1rfH+SjRa2xrvNpJMj1a1i0mwNd5fUTZeG8n/18edae/vLVhandrC9BjuQvl4YmKjVVVZt99TQ/bvG2vUaY/wJWBZ4XKpQ1Pr70cpjRuZHq1Kjk60Nd5fZRWn2hp/uDLF9GhVapCOJ9bGayP5//qkkBVBEerHExPr/3vJUXbzgqyof4HKC0PRtt5j/X1/DVUczxHkRXCE8vGwtgAAoH64DMMImbwrKirSFVdcodatW+u5555TbGysX8+zceNGlZeXy+XibAMAUnFBqS68eIBfczdu3Kjd5Xv096oXbc27MeYqJZ/UUllZWX7tF8dHVgCoL3FxcX6/b/uTF2RF/QpkXlRUlIszmQFIrC0AAKgPIXMlxf79+zVq1CjFx8drwYIFfi8ijio5UK7H/rXJ8viTExvpxgs76e/vfK2dJYcsz6sZsM+f8mzrkZxva7zbSFJv42J96HpdHtdey/P+s7ud3dL8ErW6ua3x/r4+7jc22C0tKFqd2kJX5VysF+96XUU/FDtdTp2F8vGMfPiygDwP94INDYHOiuLycv11g/WsSGncSJO7dNKjX32twjLr70XJHYv8Kc+2J9PetzX+cGWKfiydpPYJcxQfW2h53uit/ewV5qfd37SyNd7f1yd1DlkRDKF+PCMfvkytTqn7WbvkRWgIdF7ERhcrLWm25fH+vr+GKo7niPEDM+uxKv+F+vurXaF8PKwtAACoHyHRpCgvL9fYsWO1Z88eLV26VImJdb+NRHWNoe17Dtiet7PkkK151VWltvfhj9Ncu+xPMiSPa69KbMzNr3Lb348fovf4d7m93dcncbMff29BVPRDsQpDvEY7QvF46no59lH27xuLQKuXrDAMbTtgPysKyw7ZmldZXWJ7H/5oHPeDX/PiYwttzS0I0vHsOGDvtk1H2X19XCH2vvVLofjeWhehejzkRcNRH3nhUrVf77F2319DXaQfT+HmhHqrJRBC9f3VX6F4PGQFAAD1w/EmRVVVlSZPnqxvv/1WS5YsUWpqqtMlAYAJ9411HlkBIBzwmRTOIy8AhDrWFgAAeHO8SXHffffpvffe07Rp03T48GF98cUXtd877bTT1NTmh2YCQMAZLvtnO3F2VECRFQDCgt28ICsCjrwAEPJYWwAA4MXxJsUHH3wgSfrrX//q9b1nn31WPXv2DHZJAOCFS7KdRVYACBfkhbPICwDhgKwAAMDM8SbFmjVrnC4BAHxiIeEssgJAuCAvnEVeAAgHZAUAAGaONykAINQZsr+Q4L6xABB57OYFWQEAkYe1BQAA3mhSAIAFdj/cDgAQmcgLAIAvZAUAAGY0KQDAAi7JBgBYQV4AAHwhKwAAMKNJAQA+cEk2AMAKbvcEAPCFtQUAAN5oUgCABZztBACwgrwAAPhCVgAAYNZgmxRRB8qVuOhjy+Pdma2lK8+S+40NSty8y/K8EmX7U55ta4bZG98uJkGDWkr/2d1O+VVuy/P6p35vszL/2D2empjqI48D9qm6qtTyvGC9PpJs/bwh3Lj8WEiw8AgHMXvLlTbd+u9uSmZraclZSp2zQS4bWbH1weC8F12gobbGp0Yn6tZm0uit/VRQXWJ53nud/2G3NL/YPZ7k6MQjjx2LVGnjeIL1+kiy9fOGcGQ3L8iKcPFT/km65czulsenZLbWpCXS+IGZKtycYHne24Vf2K4NwRPM12dgSveg7QvBxtoCAIBfinK6AAAAAAAAAAAAEJka7JUUABAwhmTYPduJG8cCQOSxmxdkBQBEHtYWAAB4oUkBABbUcIk1AMAC8gIA4AtZAQCAGU0KAPDBkP0Pt+NkJwCIPHbzgqwAgMjD2gIAAG80KQDAAtuXZAMAIhJ5AQDwhawAAMCMJgUAWGD3bCcAQGQiLwAAvpAVAACY0aQAAAs42wkAYAV5AQDwhawAAMCMJgUA+OTy42wnFh4AEHns5gVZAQCRh7UFAAC/RJMCAHwwJBk2P62OD7cDgMhjNy/ICgCIPKwtAADwRpMCACyo4ewlAIAF5AUAwBeyAgAAM5oUAOCL4cd9YzndCQAij928ICsAIPKwtgAAwAtNCgCwwP59YwEAkYi8AAD4QlYAAGBGkwIALLB731gAQGQiLwAAvpAVAACY0aQAAB+OfLidvbOdWHcAQOSxmxdkBQBEHtYWAAB4o0kBABbYvm8sACAikRcAAF/ICgAAzGhSAIAF3DcWAGAFeQEA8IWsAADAjCYFAFjAfWMBAFaQFwAAX8gKAADMaFIAgAVckg0AsIK8AAD4QlYAAGBGkwIAfDFc9hcSLDwAIPLYzQuyAgAiD2sLAAC80KQAAAu4IhsAYAV5AQDwhawAAMAsyukCACDUGTpySbatrzruc9u2bbrhhhvUvXt3ZWdnKycnR4cPH7Y0t7S0VPfcc4/69OmjrKwsDRw4UC+99FIdKwIA+GI7L+q4P7ICAMIPawsAALxxJQUAhBiPx6ORI0cqJSVFc+bM0d69ezVr1iyVlpZq9uzZJ5x78OBBXXPNNTrppJM0Y8YMtWjRQj/++KMqKyuDVD0AIBjICgCAFeQFACAc0KQAACuCeE32Sy+9JI/HoxUrVigpKUmSFB0dralTp2rs2LFKT08/7twnnnhChw8f1iuvvKL4+HhJUs+ePYNSNwBAQcsLsgIAwhhrCwAATLjdEwBYYPeS7LpYt26dsrOzaxcRkjRw4EDFxcVp7dq1J5z72muv6bLLLqtdRAAAgousAAD4wtoCAAAzrqQAAAsMP852+umnnzRlypTjfn/16tXH3J6Xl6dhw4aZtsXFxaldu3bKy8s77vNt375de/bskdvt1k033aQPP/xQTZo00W9/+1tNnz6dxQUABIHdvCArACDysLYAAMCMJkUdJS76OCj7KVG2rfFRLZtKV0pRq5srek+05XlrhvkeEwj9U7+3NT7RaC3VSD2S83Waa5flecE6Hsnea9S0ZVNJkmdIV5VkH7C1n2D9zMGsrmcw2eHxeOR2u722u91u7du377jz9uzZI0n6y1/+oosuukhPPfWUtmzZoocffliVlZXKycmpt5pxYmnTg/N7u/VBe1kR27SpdI60+5tW2nGgkeV5F2io3dL88l7nf9gaX1ZxqjYXXaQn095X47gfLM8L1vFI9l4jo+mRrCiY1FXbDtjLimD9zMFbsPKCrGiYBqZ0D8p+3i78Iij7gf/svEZH8k+a//ZmW/knBe9nDmasLQAAMKNJAQBW+LGQaNOmzXHPaPKrBMOQy3X8OmpqaiRJ6enpmjVrliQpOztbVVVV+stf/qLJkyerVatWAasHAHAMNvOCrACACMTaAgAAEz6TAgB8MY5ckm3nqy4fhud2u+XxeLy279+//5hnQR2VkJAgSerVq5dpe69evVRTU3PCy7kBAAFAVgAAfGFtAQCAF5oUAGCFYfOrDtLT073+p7+iokL5+flKT08/7ry2bdsqNjbWu/T/u+ltVBRv+QBQ78gKAIAvrC0AADAhVQDAAsNw2fqqi759++qTTz5RSUlJ7bZVq1apoqJC559//nHnxcXFqXfv3vr4Y/O96D/++GPFxMTotNNOq1NdAADfyAoAgC+sLQAAMKNJAQBWBPFsp+HDh6tZs2YaN26c1q9frxUrVuj+++/XkCFDTGc7zZgxQ506dTLNHT9+vDZv3qzbbrtNH3zwgRYtWqS5c+fq6quvVlJSUt0KAwD4RlYAAHxhbQEAgAkfnA0AFtT1DCY73G63Fi9erJycHE2cOFHx8fEaPHiwpk6dahpXU1Oj6upq07auXbvqiSee0EMPPaQxY8YoISFBI0aM0OTJk4NWPwBEsmDlBVkBAOGLtQUAAGY0KQDAijqewWRXhw4dtHDhwhOOyc3NVW5urtf23r17q3fv3vVVGgDgRIKYF2QFAIQp1hYAAJiE1O2eDh48qL59+yozM1MbN250uhwA+BmXzS/UJ/ICQOgiK0IFWQEgdLG2AADg50LqSorHHnvM6/JCAAgJQT7bCSdGXgAIWeRFyCArAIQssgIAAJOQuZIiLy9PL7zwgiZOnOh0KQDgLYgfbocTIy8AhDSyIiSQFQBCGmsLAABMQuZKipkzZ2r48OHq0KGD06UAgJnhOvJldw7qBXkBIGTZzQuyot6QFQBCFmsLAAC8hMSVFCtXrtS3336r8ePHO10KAHgxJBmGzS+ni26gyAsAocx2XjhdcANFVgAIZawtAADw5viVFIcOHVJubq5uueUWNW3aNGDPGx0dpZTM1pbHtzq1hekx1DRtae/v5uTERqZHq2pignPf3kTD+msjSW4jyfRoVbuYBFvj6yLKxmvk7+sjSW4bP9fBEsq/PzGx0aqqDMDPNSsDx9VHXjS0rDBs/r2kNG5kerQqOTrR1nh/lVWcamv84coU06NVqUE6HkmKtfEa+fv6SLL1cx0sof77ExMbHZgnIi8cxdrCmmC9v4Yqjud/yAt7WFsAAFA/HG9SLFiwQC1atNCll14a0Odt3rqZJi253va8q3IuDmgdTrvxwk5Ol3BsNf5N621cbOt/6Aa19G8/frnS/hS/Xp8rz7I/J0hC9fenuKC07k/CJdaOq4+8ICuOmNwlNLNic9FFfs37sXSSrfG3NvNrN/45x/4Uv16fJWSFY8gLR7G2sGZzkX/z7L6/hjqOR5q0pB4KCZBQ/f1hbQEAQOA52qQoKCjQ008/rfnz5+vAgQOSpLKystrHgwcPqkmTJn49975d+/Xs1Ncsj291agtdlXOxXrzrdRX9UOzXPuuTZ0hXW+NPTmykGy/spL+/87V2lhyyPK9mwD67pfmlR3K+rfFuI0m9jYv1oet1eVx7Lc/7z+52dkvzW9Tq5pbH+vv6SJL7jQ12S6t3ofz7M/Lhy+r8HC5JLptnO7HsCKz6youGlhUFk+xlRUrjRprcpZMe/eprFZZZfy9K7ujnv27Z9GTa+7bGH65M0Y+lk9Q+YY7iYwstzxu9tZ+9wupg9zetLI/19/WRpNQ5ZIVdIx++TK1OqdtZu3bzgqwILNYW1s1/e7Ot8f6+v4Yqjud/xg/MrKeq/BfKvz+sLQAAqB+ONil27NihyspKjR492ut71157rbp166aXX37Zr+eurq5R4eZdtucV/VDs17z6VpJ9wK95O0sOafse63Orq0r92o9dp7n8+Ds2JI9rr0pszM2vctvfj5+i99i/TYTd10eSEkPw5/OoUPz9Ccjl2BKXZDusvvKioWXFtgP+ZUVh2SFbcyurS/zaj12N437wa158bKGtuQVBOh5J2nHA/q2b7L4+kuQKwZ/Po0L194e8CH+sLawL1vtrqON4pMLNCfVSSyCE4u8PWQEAQP1wtEnRsWNHPfvss6Zt33zzjWbNmqV7771XWVlZDlUGAAgl5AUAwBeyAgAAAAhPjjYp3G63evbseczvde7cWZ07dw5yRQBwHNw31lHkBYCwQV44hqwAEDbICgAATBz/4GwACHmG7F+SzSXcABB57OYFWQEAkYe1BQAAXkKuSdGzZ09t3mzvg9wAoN6xMAg55AWAkERehBSyAkBIIisAADAJuSYFAIQkFhIAACvICwCAL2QFAAAmNCkAwAruGwsAsIK8AAD4QlYAAGBCkwIALHBxthMAwALyAgDgC1kBAIAZTQoAsIKFBADACvICAOALWQEAgEmU0wUAAAAAAAAAAIDIxJUUYSJx0ce2xrszW0tXniX3GxuUuHmX5XklyrZbml/WDLM3vl1Mgga1lP6zu53yq9yW5/VP/d5mZf6zc0w1MdVHHgfsU3VVqa39BOs1svsz19BxSTbCQdp0e7+3KZmtpSVnKXXOBrlsZMXWB4PzPnSBhtoanxqdqFubSaO39lNBdYnlee91/ofd0vxm55iSoxOPPHYsUqWN45GC9xrZ/ZmLBOQFwsHAlO62xqdkttakJdL4gZkq3Jxged7bhV/Y2g+CL1ivkd2fuYaOrAAAwIwmBQBYwYfbAQCsIC8AAL6QFQAAmNhqUhQWFqpVq1aKjY1VYWGhz/EpKSl+FwYAIcOQ/fvGRvDZUWQFgIhlNy8iOCsk8gJAhGJtAQCAF1tNigEDBmjp0qXq2rWr+vfvL5frxN3/b775pk7FAUDIYGFgGVkBIKKRF5aRFwAiFlkBAICJrSbFAw88oLZt29b+t6+FBAA0FNw31jqyAkAkIy+sIy8ARCqyAgAAM1tNiksuuaT2vy+99NKAFwMAIYuFhGVkBYCIRl5YRl4AiFhkBQAAJnxwNgBYwUICAGAFeQEA8IWsAADAhCYFAFjAJdkAACvICwCAL2QFAABmNCkAwAqD+2QDACwgLwAAvpAVAACY0KQAAF8M2b8km7OjACDy2M0LsgIAIg9rCwAAvNCkAAALuCQbAGAFeQEA8IWsAADAjCYFAFjBQgIAYAV5AQDwhawAAMAkyukCAAAAAAAAAABAZOJKCgCwgEuyAQBWkBcAAF/ICgAAzGhSAIAVLCQAAFaQFwAAX8gKAABMaFIAgBUsJAAAVpAXAABfyAoAAExoUgCADy7ZvyTbVS+VAABCmd28ICsAIPKwtgAAwBsfnA0AAAAAAAAAABzBlRQAYAWXZAMArCAvAAC+kBUAAJjQpAAAXwz7l2Sz8ACACGQ3L8gKAIg8rC0AAPBCkwIArGBhAACwgrwAAPhCVgAAYEKTAgCsYCEBALCCvAAA+EJWAABgwgdnA4AFLsPeV11t27ZNN9xwg7p3767s7Gzl5OTo8OHDtp5j1apVyszM1ODBg+teEADAErICAOALawsAAMy4kgIArAji2U4ej0cjR45USkqK5syZo71792rWrFkqLS3V7NmzLT3H4cOHNWvWLLVs2bKeqwUAmAQpL8gKAAhjrC0AADChSQEAFgTiDCarXnrpJXk8Hq1YsUJJSUmSpOjoaE2dOlVjx45Venq6z+d44oknlJKSolNOOUVfffVVfZcMAPg/wcoLsgIAwhdrCwAAzLjdEwBYYdj8qoN169YpOzu7dhEhSQMHDlRcXJzWrl3rc35+fr6eeeYZ3XXXXXUrBABgH1kBAPCFtQUAACY0KQDAiiAuJPLy8rzOaIqLi1O7du2Ul5fnc/7MmTM1dOhQnXHGGXUrBABgH1kBAPCFtQUAACbc7gkmiYs+Dsp+SpRta3xUy6bSlVLU6uaK3hNted6aYXYr81//1O8tj000Wks1Uo/kfJ3m2mVrP8E6JjuvUdOWTSVJniFdVZJ9wNZ+gvUzVyf+fGCdIf3000+aMmXKcYesXr36mNs9Ho/cbrfXdrfbrX379p1wt2vWrNHnn3+ulStX2ioXsCNtenB+b7c+aC8rYps2lc6Rdn/TSjsONLI87wINtVua397r/A/LY8sqTtXmoov0ZNr7ahz3g639BOuY7LxGRtMjWVEwqau2HbCXFcH6maszu3lBVqCBG5jSPSj7ebvwi6DsB/6z8xodyT9p/tubbedfsH7m6oS1BQAAXmhSAIAVQbxv7HFLMAy5XK7jfr+8vFwPPPCAJk6caLqcGwAQRA7nBVkBAGGAtQUAACY0KQDACj8WEm3atDnuGU0n4na75fF4vLbv37//hB9st3jxYkVFRel3v/td7fzKykrV1NTI4/EoPj5ecXFxtusBANhgMy/ICgCIQKwtAAAwoUkBABbYviS7DtLT073uD1tRUaH8/HwNG3b8+31t3bpVP/74o7KzvW+/0qNHD91zzz266qqrAl4vAOB/gpUXZAUAhC/WFgAAmNGkAAArgriQ6Nu3rxYsWKCSkhIlJiZKklatWqWKigqdf/75x503atQoXXLJJaZtTz75pLZt26ZZs2bp1FNPrc+yAQBS0PKCrACAMMbaAgAAE5oUAGBBMM92Gj58uJYsWaJx48Zp3LhxKi4uVm5uroYMGWK6JHvGjBlasWKFvv76a0lHzpL65SXby5cv165du9SzZ8/gHQAARLBg5QVZAQDhi7UFAABmNCkAIMS43W4tXrxYOTk5mjhxouLj4zV48GBNnTrVNK6mpkbV1dUOVQkAcBJZAQCwgrwAAIQDmhQAYEUQz3aSpA4dOmjhwoUnHJObm6vc3FyfYwAAQRTEvCArACBMsbYAAMAkyukCjnrllVd08cUXKysrS9nZ2RozZozTJQHAEYafXwg4sgJASCMrQgZ5ASBksbYAAMBLSFxJMXfuXC1atEhjxoxRt27dtG/fPq1fv97psgCglsvpAkBWAAgL5IXzyAsAoY6sAADAzPEmRV5enhYsWKAnn3xSffr0qd3+m9/8xsGqAOAXOHvJUWQFgLBBXjiKvAAQFsgKAABMHG9SLFu2TG3btjUtIgAglLgkuWwuJDg7KrDICgDhwG5ekBWBR14ACHWsLQAA8OZ4k+LLL79URkaG5s+fryVLlmj//v3q3r277rzzTnXs2NHv542OjlJKZmvL41ud2sL0GO5C/Xiatmxqa/zJiY1Mj1bVxFTbGl8XiYb1nze3kWR6tKNdTILtOf6IsvEa+fv6SJLbxu+pP2Jio1VVGYCfA852chRZUT9C/XiMpvayIqVxI9OjVcnRibbG10VZxamWxx6uTDE92pEapGOKtfEa+fv6SLL1e+qvmNjowDwReeEo8qJ+hPrx2Hlvler2/hqKOJ7/qe+8YG0BAED9cBmG4Wg8Dhw4ULt371br1q11yy23KDY2VvPmzVNBQYHeeecdud1u28+5ceNGlZeXy+XifAMAUnFBqS68eIBfczdu3KiC4n2avuw/tuY9eGkPpbZorqysLL/2CzOyAkAwxMXF+f2+7U9ekBWBR14AqG+sLQAACDzHr6QwDENlZWWaO3euTj/9dElS586dNWDAAC1dulSjRo3y63n37dqvZ6e+Znl8q1Nb6Kqci/XiXa+r6Idiv/YZSkL9eDxDutoaf3JiI914YSf9/Z2vtbPkkOV5NQP22S3Nbz2S8y2PdRtJ6m1crA9dr8vj2mtrP//Z3c5uaX6JWt3c8lh/Xx9Jcr+xwW5ptox8+LKAPI/dS7IRWGRF/Qj14ymYZC8rUho30uQunfToV1+rsMz6e1FyxyK7pfntybT3LY89XJmiH0snqX3CHMXHFtraz+it/ewV5qfd37SyPNbf10eSUufUb1ZIR/Ki1Sl1P0ucvHAWeVE/Qv145r+92db4ury/hiKO53/GD8ysp6qOYG0BAED9cLxJ0bx5c7Vs2bJ2ESFJycnJSktL05YtW/x+3urqGhVu3mV7XtEPxX7NC1Whejwl2Qf8mrez5JC277E+t7qq1K/9+OM0l82/Z0PyuPaqxOa8/Cr7ZwD6I3qP/dte2H19JCmxnn8+A3I5tsQl2Q4jK+pXqB7PtgP+ZUVh2SFbcyurS/zajz8ax/1ge058bKHteQVBOqYdB+zfusnu6yNJriD8fJIXDQN5Ub9C9Xj8eW+V/Ht/DWUcj1S4OaFeajmKrAAAoH5EOV1Aenr6MbcbhqGoKMfLAwBJR852svOFwCIrAIQLssJZ5AWAcMDaAgAAM8f/T71fv37as2ePvvvuu9ptu3bt0tatW5WZWb+XagKAJYafXwgYsgJAWCArHEdeAAh5rC0AAPDi+O2efvOb36hz586aOHGiJk+erLi4OM2fP19JSUm64oornC4PACRxBpPTyAoA4YK8cBZ5ASAckBUAAJg5fiVFdHS0nnrqKXXp0kV33323pk6dqpYtW2rRokVq3Lix0+UBwBGc6eQosgJA2CArHEVeAAgLrC0AADBx/EoKSWrRooUeeughp8sAgONjceA4sgJAWCAvHEdeAAh5ZAUAACYh0aQAgFDHJdkAACvICwCAL2QFAABmNCkAwAoWEgAAK8gLAIAvZAUAACY0KQDAApfBSgIA4Bt5AQDwhawAAMCMJgUA+OLPB9ax7gCAyGM3L8gKAIg8rC0AAPBCkwIALOC+sQAAK8gLAIAvZAUAAGY0KeCIxEUf2xrvzmwtXXmW3G9sUOLmXZbnlSjbbml+WzPM+th2MQka1FL6z+52yq9y29pP/9TvbVbmHzvHUxNTfeRxwD5VV5Xa2k99v0Y1TU8KzBOxkACCLm26vaxIyWwtLTlLqXM2yGUjK7Y+GLysuEBDLY9NjU7Urc2k0Vv7qaC6xNZ+3uv8D7ul+cXO8SRHJx557FikSpvHE4zXqCqJvADC1cCU7rbGp2S21qQl0viBmSrcnGB53tuFX9jaD4Kvvl+jTTvLA/NEZAUAACZRThcAAAAAAAAAAAAiE1dSAIAPLtm/JNtVL5UAAEKZ3bwgKwAg8rC2AADAG00KALCCS7IBAFaQFwAAX8gKAABMaFIAgAV8uB0AwAryAgDgC1kBAIAZTQoAsIKFBADACvICAOALWQEAgAlNCgCwgLOdAABWkBcAAF/ICgAAzGhSAIAvhiTD5kqChQcARB67eUFWAEDkYW0BAIAXmhQAYAFnOwEArCAvAAC+kBUAAJjRpAAAK1hIAACsIC8AAL6QFQAAmNCkAAALXDVOVwAACAfkBQDAF7ICAAAzmhQAYAVnOwEArCAvAAC+kBUAAJjQpAAAC7hvLADACvICAOALWQEAgBlNCgDwxZBk2FxJsPAAgMhjNy/ICgCIPKwtAADwQpMCACzgbCcAgBXkBQDAF7ICAAAzmhQAYAULCQCAFeQFAMAXsgIAABOaFABgAWc7AQCsIC8AAL6QFQAAmNGkAAAr7N43FgAQmcgLAIAvZAUAACY0KQDAB5fsn+3kqpdKAAChzG5ekBUAEHlYWwAA4I0mBQBYwclOAAAryAsAgC9kBQAAJjQpAMAC7hsLALCCvAAA+EJWAABgRpMCAHwxJNXYXEmw8ACAyGM3L8gKAIg8rC0AAPAS5XQBAAAAAAAAAAAgMnElBQBYEeSzl7Zt26acnBx99tlnatSokX73u99p6tSpio+PP+6cAwcO6JlnntG6deu0bds2xcTEqHPnzrrlllvUuXPnIFYPABEsiHlBVgBAmGJtAQCACVdSAIAFLsPeV114PB6NHDlSBw8e1Jw5czR9+nS98cYbuuuuu044r7CwUEuXLtW5556rRx55RLNmzVJNTY2GDx+uTZs21a0oAIAlZAUAwBfWFgAAmHElBQD4ZEiG3dWB/6uJl156SR6PRytWrFBSUpIkKTo6WlOnTtXYsWOVnp5+zHmnnHKKVq1apUaNGtVuO/fcczVgwAAtWbJEs2bN8rsmAIAVdvOCrACAyMPaAgCAX6JJgQYtcdHHQdtXibItj41q2VS6Uopa3VzRe6Jt7WfNMLuV+ad/6veWxyYaraUaqUdyvk5z7bK1n3o/niY1AXmaup7BZMe6deuUnZ1du4iQpIEDB2rGjBlau3btcRcSjRs39tp20kknKT09Xbt37663eoFwlzY9eFmx9UHrWRHbtKl0jrT7m1bacaCR7wk/c4GG2i3NL+91/oflsWUVp2pz0UV6Mu19NY7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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Visualize Weight Matrix for Each Kernel\n", + "\n", + "fig, axes = plt.subplots(2, 4, figsize=(16, 8))\n", + "axes = axes.ravel()\n", + "\n", + "for i, name in enumerate(kernel_names):\n", + " W = kernels.kernel(D, bandwidth, kernel=name)\n", + " ax = axes[i]\n", + " im = ax.imshow(W, cmap=\"viridis\", vmin=0, vmax=1)\n", + " ax.set_title(name)\n", + " ax.set_xlabel(\"j\")\n", + " ax.set_ylabel(\"i\")\n", + " fig.colorbar(im, ax=ax, shrink=0.8)\n", + "\n", + "for j in range(i+1, len(axes)):\n", + " axes[j].axis('off')\n", + "\n", + "fig.suptitle(\"Kernel-Based Spatial Weight Matrices\", fontsize=16)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ba8c1b8f-1a33-4d3b-8fde-9a13ffc0381f", + "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": "3.13.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/libpysal/kernels.py b/libpysal/kernels.py new file mode 100644 index 000000000..b0d7d84fe --- /dev/null +++ b/libpysal/kernels.py @@ -0,0 +1,263 @@ +""" +kernels.py + +This module defines a collection of common kernel functions used for +distance-based weighting in spatial analysis, nonparametric regression, +and density estimation. + +Each kernel function takes as input an array of distances and a bandwidth +parameter and returns an array of weights according to the shape of the kernel. + +A general ``kernel()`` dispatcher is provided to apply a named kernel or a +user-supplied callable. + +Available kernels: + - ``triangular`` + - ``parabolic`` (Epanechnikov) + - ``gaussian`` + - ``bisquare`` (quartic) + - ``cosine`` + - ``exponential`` + - ``boxcar`` (uniform) + - ``identity`` (raw distances) + +Mathematical Formulation +------------------------ + +All kernels are evaluated as: + +.. math:: + + K(z), \\quad \\text{where} \\ z = \\frac{d}{h} + +- :math:`d` is the distance between points. +- :math:`h` is the kernel bandwidth. +- For :math:`z > 1`, all kernels return :math:`K(z) = 0`. + +""" +import numpy + + +def _trim(d, bandwidth): + """ + Normalize and clip distances to the range [0, 1]. + + Parameters + ---------- + d : ndarray + Array of distances. + bandwidth : float + Bandwidth parameter. + + Returns + ------- + ndarray + Clipped and normalized distances. + """ + return numpy.clip(numpy.abs(d) / bandwidth, 0, 1) + + +def _triangular(distances, bandwidth): + """ + Triangular kernel function. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Triangular kernel weights. + """ + return 1 - _trim(distances, bandwidth) + + +def _parabolic(distances, bandwidth): + """ + Parabolic (Epanechnikov) kernel function. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Parabolic kernel weights. + """ + z = _trim(distances, bandwidth) + return 0.75 * (1 - z**2) + + +def _gaussian(distances, bandwidth): + """ + Gaussian kernel function (truncated at z=1). + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Gaussian kernel weights. + """ + z = distances / bandwidth + exponent_term = -0.5 * (z**2) + c = 1 / (bandwidth * numpy.sqrt(2 * numpy.pi)) + k = c * numpy.exp(exponent_term) + return numpy.where(z <= 1, k, 0) + + +def _bisquare(distances, bandwidth): + """ + Bisquare (quartic) kernel function. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Bisquare kernel weights. + """ + z = numpy.clip(distances / bandwidth, 0, 1) + return (15 / 16) * (1 - z**2) ** 2 + + +def _cosine(distances, bandwidth): + """ + Cosine kernel function. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Cosine kernel weights. + """ + z = numpy.clip(distances / bandwidth, 0, 1) + return (numpy.pi / 4) * numpy.cos(numpy.pi / 2 * z) + + +def _exponential(distances, bandwidth): + """ + Exponential kernel function, truncated at z=1. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Exponential kernel weights. + """ + z = distances / bandwidth + k = numpy.exp(-z) + return numpy.where(z <= 1, k, 0) + + +def _boxcar(distances, bandwidth): + """ + Boxcar (uniform) kernel function. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + + Returns + ------- + ndarray + Binary weights: 1 if distance < bandwidth, else 0. + """ + return (distances < bandwidth).astype(int) + + +def _identity(distances, _): + """ + Identity kernel (no weighting, returns raw distances). + + Parameters + ---------- + distances : ndarray + Array of distances. + _ : float + Unused bandwidth parameter. + + Returns + ------- + ndarray + The raw input distances. + """ + return distances + + +_kernel_functions = { + "triangular": _triangular, + "parabolic": _parabolic, + "gaussian": _gaussian, + "bisquare": _bisquare, + "cosine": _cosine, + "boxcar": _boxcar, + "discrete": _boxcar, + "exponential": _exponential, + "identity": _identity, + None: _identity, +} + +def kernel(distances, bandwidth, kernel="gaussian"): + """ + Evaluate a kernel function over a distance array. + + Parameters + ---------- + distances : ndarray + Array of distances. + bandwidth : float + Kernel bandwidth. + kernel : str or callable, optional + The kernel function to use. If a string, must be one of the predefined + kernel names: 'triangular', 'parabolic', 'gaussian', 'bisquare', + 'cosine', 'boxcar', 'discrete', 'exponential', 'identity'. + If callable, it should have the signature `(distances, bandwidth)`. + If None, the 'identity' kernel is used. + + Returns + ------- + ndarray + Kernel weights. + """ + if callable(kernel): + return kernel(distances, bandwidth) + elif kernel is None: + func = _kernel_functions[None] + else: + func = _kernel_functions[kernel.lower()] + + return func(distances, bandwidth) diff --git a/libpysal/tests/test_kernels.py b/libpysal/tests/test_kernels.py new file mode 100644 index 000000000..72b4867be --- /dev/null +++ b/libpysal/tests/test_kernels.py @@ -0,0 +1,114 @@ +import numpy as np +import pytest + +import libpysal.kernels as kernels + + +@pytest.fixture +def distances(): + return np.array([0.0, 0.5, 1.0, 1.5]) + + +@pytest.fixture +def bandwidth(): + return 1.0 + + +# --- Individual kernel tests --- + +def test_trim_clipping(): + d = np.array([-2.0, -1.0, 0.0, 1.0, 2.0]) + bw = 1.0 + result = kernels._trim(d, bw) + expected = np.clip(np.abs(d) / bw, 0, 1) + np.testing.assert_array_almost_equal(result, expected) + + +def test_triangular(distances, bandwidth): + expected = 1 - np.clip(np.abs(distances) / bandwidth, 0, 1) + np.testing.assert_array_almost_equal( + kernels._triangular(distances, bandwidth), expected + ) + + +def test_parabolic(distances, bandwidth): + z = np.clip(np.abs(distances) / bandwidth, 0, 1) + expected = 0.75 * (1 - z**2) + np.testing.assert_array_almost_equal( + kernels._parabolic(distances, bandwidth), expected + ) + + +def test_gaussian(distances, bandwidth): + z = distances / bandwidth + exponent = -0.5 * z**2 + c = 1 / (bandwidth * np.sqrt(2 * np.pi)) + expected = np.where(z <= 1, c * np.exp(exponent), 0) + np.testing.assert_array_almost_equal( + kernels._gaussian(distances, bandwidth), expected + ) + + +def test_bisquare(distances, bandwidth): + z = np.clip(distances / bandwidth, 0, 1) + expected = (15 / 16) * (1 - z**2) ** 2 + np.testing.assert_array_almost_equal( + kernels._bisquare(distances, bandwidth), expected + ) + + +def test_cosine(distances, bandwidth): + z = np.clip(distances / bandwidth, 0, 1) + expected = (np.pi / 4) * np.cos(np.pi / 2 * z) + np.testing.assert_array_almost_equal( + kernels._cosine(distances, bandwidth), expected + ) + + +def test_exponential(distances, bandwidth): + z = distances / bandwidth + expected = np.where(z <= 1, np.exp(-z), 0) + np.testing.assert_array_almost_equal( + kernels._exponential(distances, bandwidth), expected + ) + + +def test_boxcar(distances, bandwidth): + expected = (distances < bandwidth).astype(int) + np.testing.assert_array_equal( + kernels._boxcar(distances, bandwidth), expected + ) + + +def test_identity(distances, bandwidth): + np.testing.assert_array_equal( + kernels._identity(distances, bandwidth), distances + ) + + +# --- Dispatcher tests --- + +@pytest.mark.parametrize("name", [ + "triangular", "parabolic", "gaussian", "bisquare", + "cosine", "boxcar", "discrete", "exponential", "identity", None +]) +def test_kernel_dispatcher_names(distances, bandwidth, name): + # Should not raise or error + result = kernels.kernel(distances, bandwidth, kernel=name) + assert isinstance(result, np.ndarray) + assert result.shape == distances.shape + + +def test_kernel_dispatcher_callable(distances, bandwidth): + def linear_kernel(d, bw): + return 1 - np.clip(d / bw, 0, 1) + + result = kernels.kernel(distances, bandwidth, kernel=linear_kernel) + expected = linear_kernel(distances, bandwidth) + np.testing.assert_array_almost_equal(result, expected) + + +def test_kernel_dispatcher_invalid_name(distances, bandwidth): + with pytest.raises(KeyError): + kernels.kernel(distances, bandwidth, kernel="not-a-kernel") + diff --git a/libpysal/weights/distance.py b/libpysal/weights/distance.py index a8384d322..b20c72cc6 100644 --- a/libpysal/weights/distance.py +++ b/libpysal/weights/distance.py @@ -372,8 +372,8 @@ class Kernel(W): bandwidth : float or array-like (optional) the bandwidth :math:`h_i` for the kernel. - fixed : binary - If true then :math:`h_i=h \\forall i`. If false then + fixed : bool + If True then :math:`h_i=h \\forall i`. If False then bandwidth is adaptive across observations. k : int the number of nearest neighbors to use for determining @@ -424,6 +424,10 @@ class Kernel(W): eps : float adjustment to ensure knn distance range is closed on the knnth observations + normalize : bool + If True (default) Gaussian kernel is normalized to integrate to 1. + If False K(0)=1. + Attributes ---------- @@ -530,8 +534,10 @@ def __init__( diagonal=False, distance_metric="euclidean", radius=None, + normalize=True, **kwargs, ): + self._normalize = normalize if radius is not None: distance_metric = "arc" if isKDTree(data): @@ -685,7 +691,9 @@ def _eval_kernel(self): ) z.append(zi) zs = z - # functions follow Anselin and Rey (2010) table 5.4 + + # functions follow Anselin and Rey (2014) Modern Spatial Econometircs in Practice. Pg 78 + if self.function == "triangular": self.kernel = [1 - zi for zi in zs] elif self.function == "uniform": @@ -697,6 +705,8 @@ def _eval_kernel(self): elif self.function == "gaussian": c = np.pi * 2 c = c ** (-0.5) + if self._normalize is False: + c = 1 self.kernel = [c * np.exp(-(zi**2) / 2.0) for zi in zs] else: print(("Unsupported kernel function", self.function)) diff --git a/libpysal/weights/tests/test_distance.py b/libpysal/weights/tests/test_distance.py index e32948d03..3a3c95b31 100644 --- a/libpysal/weights/tests/test_distance.py +++ b/libpysal/weights/tests/test_distance.py @@ -351,6 +351,14 @@ def test_from_geodataframe(self): for k, v in list(w[self.known_wi5 - 1].items()): np.testing.assert_allclose(v, self.known_w5[k + 1], rtol=RTOL) + def test_w_normalize(self): + wg = d.Kernel.from_array(self.points, function='gaussian') + np.testing.assert_allclose(wg.weights[0], [0.3989422804014327, 0.35206533556593145, 0.3412334260702758], rtol=RTOL) + wgun = d.Kernel.from_array(self.points, function='gaussian', normalize=False) + np.testing.assert_allclose(wgun.weights[0], [1.0, 0.8824969246470149, 0.8553453540369604], rtol=RTOL) + + + ########################## # Function/User tests # ##########################