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@pablomm
Created November 16, 2018 01:23
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Initializing...\n",
"Compute Karcher Mean of 54 function in SRSF space...\n",
"updating step: r=1\n",
"updating step: r=2\n",
"updating step: r=3\n",
"updating step: r=4\n",
"updating step: r=5\n",
"updating step: r=6\n",
"updating step: r=7\n",
"updating step: r=8\n",
"updating step: r=9\n",
"updating step: r=10\n",
"updating step: r=11\n",
"updating step: r=12\n",
"updating step: r=13\n",
"updating step: r=14\n",
"updating step: r=15\n",
"updating step: r=16\n",
"updating step: r=17\n",
"updating step: r=18\n",
"updating step: r=19\n",
"updating step: r=20\n",
"maximal number of iterations is reached\n",
"[51 3 38 27 0 36 41 11 23 13 31 15 10 22 1 52 39 28 5 29 21 16 34 47\n",
" 40 32 48 18 35 25 26 30 42 20 44 45 19 33 53 9 7 46 37 49 24 6 4 8\n",
" 50 14 12 43 17 2]\n",
"[31 45 36 41 13 11 44 0 5 30 42 7 9 33 20 21 40 34 47 22 49 3 48 8\n",
" 16 4 15 2 51 35 17 37 6 25 39 23 1 29 43 24 27 12 50 10 38 32 52 53\n",
" 18 26 14 28 46 19]\n",
"[33 44 22 42 27 38 45 17 5 9 30 41 0 37 34 8 48 20 11 16 21 35 31 25\n",
" 4 23 7 36 29 40 50 49 43 6 15 39 51 53 3 14 26 13 24 2 32 47 12 1\n",
" 19 52 10 18 46 28]\n"
]
}
],
"source": [
"\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import fda\n",
"\n",
"from fda.grid_interpolation import GridSplineInterpolator\n",
"\n",
"from fdasrsf.time_warping import srsf_align\n",
"from fdasrsf.utility_functions import elastic_distance, f_to_srsf\n",
"\n",
"from scipy.integrate import trapz\n",
"\n",
"def fisher_rao_distance(f1, f2, time):\n",
" \"\"\"\"\n",
" calculates the distances between function, where f1 is aligned to\n",
" f2. In other words\n",
" calculates the elastic distances\n",
" :param f1: vector of size N\n",
" :param f2: vector of size N\n",
" :param time: vector of size N describing the sample points\n",
" :param lam: controls the elasticity (default = 0.0)\n",
" :rtype: scalar\n",
" :return distance\n",
" \"\"\"\n",
"\n",
" q1 = f_to_srsf(f1, time)\n",
" q2 = f_to_srsf(f2, time)\n",
"\n",
"\n",
" Dy = np.sqrt(trapz((q2 - q1) ** 2, time))\n",
"\n",
" return Dy\n",
"\n",
"\n",
"if __name__ == \"__main__\":\n",
"\n",
"\n",
" data = fda.datasets.fetch_growth()\n",
"\n",
"\n",
" male_index = data['target'] == 1\n",
" male = data['data'][male_index]\n",
"\n",
" #male.plot()\n",
" male_v = male.derivative()\n",
" domain = male_v.sample_range[0]\n",
"\n",
" t = np.linspace(*domain, 100)\n",
"\n",
"\n",
" male_v.interpolation = GridSplineInterpolator(3)\n",
"\n",
" smooth_data = male_v(t)\n",
"\n",
" #plt.plot(t, smooth_data.T)\n",
"\n",
" res = srsf_align(smooth_data.T, t, showplot=False)\n",
"\n",
"\n",
" gam = ((domain[1]- domain[0]) * res.gam + domain[0]).T\n",
" n = len(gam)\n",
"\n",
"\n",
" media = res.fmean.T\n",
" media = media - (np.mean(media) - np.mean(smooth_data))\n",
" aligned = res.fn.T\n",
"\n",
" distances_x = np.empty(n)\n",
" distances_y = np.empty(n)\n",
" distances_f = np.empty(n)\n",
"\n",
" for i in range(n):\n",
"\n",
" Dy, Dx = elastic_distance(media, smooth_data[i], t)\n",
" distances_x[i] = Dx\n",
" distances_y[i] = Dy\n",
" distances_f[i] = fisher_rao_distance(media, smooth_data[i], t)\n",
"\n",
" idx = np.argsort(distances_x)\n",
" idy = np.argsort(distances_y)\n",
" idf = np.argsort(distances_f)\n",
"\n",
" print(idx)\n",
" print(idy)\n",
" print(idf)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c212cda20>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.title(\"Original Curves\")\n",
"plt.plot(t, smooth_data.T)\n",
"plt.plot(t, media, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23404b70>]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.title(\"Aligned Curves\")\n",
"plt.plot(t, aligned.T)\n",
"plt.plot(t, media, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c235c96d8>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Diffeomorphism sort by $d_{\\psi}(\\gamma_i,\\gamma_{id})$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, gam[idx].T)\n",
"plt.plot(t,t, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23725080>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_{\\psi}(\\gamma_i,\\gamma_{id})$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idx].T)\n",
"plt.plot(t, media, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23885160>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_{\\psi}(\\gamma_i,\\gamma_{id})$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idx].T + 3*np.arange(n).reshape((1,n)))\n",
"plt.plot(t, media - 5, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23ad45f8>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Diffeomorphism sort by $d_0(q_i,\\\\bar q)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, gam[idy].T)\n",
"plt.plot(t,t, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23cc1f60>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_0(q_i,\\\\bar q)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idy].T)\n",
"plt.plot(t, media, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c23e23128>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_0(q_i,\\\\bar q)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idy].T + 3*np.arange(n).reshape((1,n)))\n",
"plt.plot(t, media - 5, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c24029ba8>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Diffeomorphism sort by $d_{FR}(f_i,\\\\bar f)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, gam[idf].T)\n",
"plt.plot(t,t, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c2420f630>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_{FR}(f_i,\\\\bar f)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idf].T)\n",
"plt.plot(t, media, c='black', linestyle='dashed')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1c241d0e48>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Curves sort by $d_{FR}(f_i,\\\\bar f)$\")\n",
"ax.set_prop_cycle(color=plt.cm.autumn(np.linspace(0,1,n)))\n",
"plt.plot(t, smooth_data[idf].T + 3*np.arange(n).reshape((1,n)))\n",
"plt.plot(t, media - 5, c='black', linestyle='dashed')"
]
}
],
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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