fixed description of IMM transition matrix #271

This commit is contained in:
Roger Labbe committed 2020-05-04 17:31:44 -07:00
1 parent 3b9b713ac1
commit 82f7dba206
1 file changed
+38 -39
+38 -39
View File
@@ -194,7 +194,7 @@
"outputs": [
{
"data": {
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -297,7 +297,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -341,7 +341,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -382,7 +382,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -420,7 +420,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -483,7 +483,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -550,7 +550,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -647,7 +647,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -695,7 +695,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -776,7 +776,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -871,7 +871,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -898,7 +898,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -925,7 +925,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -935,7 +935,7 @@
},
{
"data": {
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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -965,7 +965,7 @@
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -975,7 +975,7 @@
},
{
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -985,7 +985,7 @@
},
{
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -995,7 +995,7 @@
},
{
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1005,7 +1005,7 @@
},
{
"data": {
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1076,7 +1076,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 4 Axes>"
]
@@ -1202,7 +1202,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1233,7 +1233,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1286,7 +1286,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1336,7 +1336,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1412,7 +1412,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -1549,7 +1549,7 @@
"\n",
"$$\\mathbf M = \\begin{bmatrix}.97 & .03\\\\.05 & .95\\end{bmatrix}$$\n",
"\n",
"In other words $\\mathbf M[i, j]$ is the probability of mode being $i$ given that the last mode was $j$. In this example the probability of the mode currently being straight $(i=0)$ given that the last mode was a turn $(j=1)$ is $\\mathbf M[1,\\ 0] = 0.05$. In Python we'd write:"
"In other words $\\mathbf M[i, j]$ is the probability of mode being $j$ given that the last mode was $i$. In this example the probability of the mode currently being straight $(j=0)$ given that the last mode was a turn $(i=1)$ is $\\mathbf M[1,\\ 0] = 0.05$. In Python we'd write:"
]
},
{
@@ -1558,20 +1558,19 @@
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.97, 0.03],\n",
" [0.05, 0.95]])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
"name": "stdout",
"output_type": "stream",
"text": [
"[[0.97 0.03]\n",
" [0.05 0.95]]\n",
"From turn to straight probablility is 0.05 percent\n"
]
}
],
"source": [
"M = np.array([[.97, .03], [.05, .95]])\n",
"M"
"print(M)\n",
"print('From turn to straight probablility is', M[1, 0], 'percent')"
]
},
{
@@ -1788,7 +1787,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
"text/plain": [
"<Figure size 900x400 with 2 Axes>"
]
@@ -1878,7 +1877,7 @@
"outputs": [
{
"data": {
"image/png": 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truncated
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truncated
"text/plain": [
"<Figure size 900x400 with 1 Axes>"
]
@@ -1930,7 +1929,7 @@
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m<ipython-input-35-e96cb02ea05b>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m 5\u001b[0m [0.03, 0.97]])\n\u001b[0;32m 6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m \u001b[0mimm\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mIMMEstimator\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mca\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcv\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m0.5\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m0.5\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtrans\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[1;32mC:\\Users\\rlabbe\\Dropbox\\filterpy\\filterpy\\kalman\\IMM.py\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, filters, mu, M)\u001b[0m\n\u001b[0;32m 141\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 142\u001b[0m raise ValueError(\n\u001b[1;32m--> 143\u001b[1;33m 'All filters must have the same state dimension')\n\u001b[0m\u001b[0;32m 144\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 145\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilters\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\pcloud\\filterpy\\filterpy\\kalman\\IMM.py\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, filters, mu, M)\u001b[0m\n\u001b[0;32m 142\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 143\u001b[0m raise ValueError(\n\u001b[1;32m--> 144\u001b[1;33m 'All filters must have the same state dimension')\n\u001b[0m\u001b[0;32m 145\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 146\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilters\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mValueError\u001b[0m: All filters must have the same state dimension"
]
}