From 8507d8baaec838bed8d4a79c3f7843ebbedc272f Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sat, 14 Jul 2018 08:46:40 -0700 Subject: [PATCH] Removed Matplotlib deprecation warning needed to use new kwarg density. --- 11-Extended-Kalman-Filters.ipynb | 68 ++-- kf_book/nonlinear_plots.py | 671 ++++++++++++++++--------------- 2 files changed, 373 insertions(+), 366 deletions(-) diff --git a/11-Extended-Kalman-Filters.ipynb b/11-Extended-Kalman-Filters.ipynb index f9f30ed..f10c43b 100644 --- a/11-Extended-Kalman-Filters.ipynb +++ b/11-Extended-Kalman-Filters.ipynb @@ -319,9 +319,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, @@ -1505,7 +1505,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final P: [0.023 0.043 0.002]\n" + "Final P: [0.024 0.043 0.002]\n" ] } ], @@ -1538,9 +1538,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, @@ -1550,7 +1550,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final P: [0.02 0.02 0.002]\n" + "Final P: [0.021 0.02 0.002]\n" ] } ], @@ -1580,9 +1580,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, @@ -1592,7 +1592,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final P: [0.019 0.047 0. ]\n" + "Final P: [0.021 0.046 0. ]\n" ] } ], @@ -1619,9 +1619,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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" ] }, "metadata": {}, @@ -1631,7 +1631,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final P: [0.262 0.805 0.004]\n" + "Final P: [0.273 0.875 0.004]\n" ] } ], @@ -1658,9 +1658,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, @@ -1670,7 +1670,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final P: [0.008 0.009 0.001]\n" + "Final P: [0.009 0.009 0.001]\n" ] } ], @@ -1720,9 +1720,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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g1Ve9yZeHDvlz7eXL4Tvfgfvv96d8EUkvSjJpZsYMGDAAFizwp/xPPoGFC+F//9ef8kUkvahPJo0cPOjtHQNwwQXxv69v37rPibjwQjCD1ath/35vnxoRkZqoJpNGCgu9L/4ePeD44+N/37p13i0eHTtCXh589ZXXNCciUhslmTQSqcUMHpzccqsPZ46UH7meiEhNlGTSSLKSTF0jzJRkRCReSjJp4uuv4e9/9+4PGpTYe828W7TaEk2k/DVrvGYzEZGaqOM/TWzd6nXCn3ginHCCv9fq2BFuugm6dfOSW4sW/l5PRFKXkkyaOP10b3jxp582zvX++MfGuY6IpDY1l6WRjIzERpWJiPhNSSYNHDoEe/c2/nWXL4eZM70mMxGRWJRk0sAbb3jbLI8b17jXveEGb4WB9esb97oikjqUZNLAypVebSYnp3Gvq6HMIlIXJZk08PLL3vH88+v3/jlzvFuiIkOZV6+u33VFJP1pdFmKc86brwJwzjn1K6OurZdrErnemjVeHNXn2oiIKMmkuA8/hB07oF07OOMM/64TvbRMZKJmt25w3HHe0OnNm/29voikJjWXpbi1a73jwIHeEOb6mDvXuyXKrGptRkSkuri+lszsEjN7x8y2mNmUGK/fYGZvmdnrZvaymfVIfqgSS+TL/eyz61/GxInerT7OPtur0ZSX1//6IpK+6mwuM7NM4D7gIqAEKDSzRc65t6NO+x/n3IMV548Gfgdc4kO8Us3PfuZ90efl+XeNSPNY9dWYAW691YtBRCQWc672FXfN7GxghnNuWMXjqQDOubtrOP8KYLxzbnj082VlZZUX2rx5cwPDbpr6L+4PQOHIwuSW2z/fK7ewqNbr+XV9EUldubm5lffbtGlz1C/ReDr+uwDboh6XAAXVTzKzm4CfAs2BoYkGKqlt927vT6ldO7WbicgR8SSZWANTj6r+OOfuA+4zs38FfgH8qKYC8/Pz4w7Qb0VF3q/3MMVUo8XeIRLr4497EyF/9CM477yGF3/UZ1Dtekc9rnDXXfCLX8D06d4KAJBan6ti9Ydi9UfYYi0rK6v19Xg6/kuAk6IedwU+quX8BcDYOMqVBlq4EB5+GN59N9g4zjzTO2qEmYhUF0+SKQRyzaybmTUHLgcWRZ9gZrlRD0cC6nRpBJHhyw0ZWZYMkeuvXestbyMiElFnknHOlQOTgKXARuAJ51yxmc2qGEkGMMnMis3sdbx+mRqbyiQ5tm2D7du9hTG7d29YWc55t/o68UT4xjfgiy/g7bfrPl9Emo64Zvw755YAS6o9Ny3q/uQkxyV1iDRNFRTUfxJmMp1zjrc75yuvQO/eQUcjImERgq8nqY9kTMKsr1jzZTTzX0RiUZJJUcnsj+nXz7s1RCTJvPJKw+MRkfShBTJT1MUXQ/PmXnNZQ8W76Zib7mLWYsBbcWDJEm8NNRGRCCWZFDVzZrDXt5lWudwMQLNmMHx4LW8QkSZJzWUiIuIbJZkUtHQp/OMfwax8HF17qe799+F734Mrr2zEgEQk1JRkUtC110LfvsHP9K8uJwf++ld46ikt/S8iHiWZVFPWpXISZmQ5l6DYTKu8AXTuDKeeCvv2wXvvHRtscCISCur4TzUl3pjlZE7CvP765JQD3uiy99+HDRty6N59f/IKFpGUpJpMqtnmJZlkTsKs7/bLsUTieuut7OQUKCIpTUkm1VTUZMI6HyUS11tv5QQbiIiEgpJMKilvDjv6AsmZhBmxbp13S4ZvfQtatoQPP2zJ559nJqdQEUlZ6pNJJbtPhWYH6NG9BW3bJq/YyN5HDVmJOeKYY2DyZNizp6ThhYlIylOSSSWdNsEd7XjxxsOBhhE9VybWMjOzZ0NR0ceNGZKIhJSay1JNhuP444MOQkQkPqrJpJLy5tDsYNBR1Mk5KCpqRXFxNn36QKa6ZkSaLNVkUsT27cDdX8BjzwYdSp3MYNasU/jjH7uycWPQ0YhIkJRkUsSaNcChFuBS4z9Z7957AW1iJtLUpcY3llRuUsZJqfGt3avXPiAqbhFpktQnkyIqawRdk59kioqSXiR5eV6SUU1GpGlTkkkBBw9GTZbs+mrSy2/o1stwZChzZHjzGWd8SfPmh9m4MYPdu6Fdu4ZfQ0RSj5rLUsDrr8NXXwEdN8KxnwcdTlyOOcZx5plfAvDaawEHIyKBUU0mBbzySsUdH5rKACZM8I71WSQzUnOJNSmzd++9lJbmUFbWkOhEJJUpyaSAceOgQwcYv+JPvpT/0EPeMVkrMUdMmrSdxx/XzFGRpkzNZSmgSxf44Q+Bk1+p89wwadYsCYuhiUhKU5IR3+3eDXv2BB2FiARBSSbkli6FH/8Yli8POpL4VO+buflmaN8e/vrXgAISkUDFlWTM7BIze8fMtpjZlBiv/9TM3jazN83sRTP7RvJDbZqeeQYeeCCq8z/FnHyyd9R8GZGmqc4kY2aZwH3AcKAHcIWZ9ah22j+AfOdcHvAk8J/JDrSpiiSXc84JNo66RC//Hy2yHbOSjEjTFE9NZgCwxTn3vnPuILAAGBN9gnNuuXPuy4qHa4GuyQ2zadq7F954w1vFeMAA/67Tt693S5boJrM+fbyNzN5+Gw1lFmmC4hnC3AXYFvW4BKht899rgVqXCi7yYx2TBgpnTK04dKg73/zmPjZGLWec7FjnzImUW1Mc9b/ehg1FdO9+Jhs25PD44+9SUPBFvcvyWxj/BmqiWP2hWBOXm5tb6+vx1GSOnmUHMdtGzOwHQD5wTxzlSh3efDMHgLy8vQFHEp/CkYUxn48slvnWW9mNGY6IhEA8NZkS4KSox12Bj6qfZGYXAv8ODHbOfVVbgfmRTeVDIPJrIEwxRUyf7h3Hjj2O/PzjYLH3uNFirc/1Kt7Tf3H/yqcWjHUsWAAfftiF/PwuSQwwOcL8N1CdYvWHYq2/sjraweNJMoVArpl1A7YDlwP/Gn2CmfUB5gCXOOc+rV+oUl1BAZSW+t/pbxV1VefT3MkLLoBFi2DgQH/KF5HwqrO5zDlXDkwClgIbgSecc8VmNsvMRlecdg+QA/zVzF43s0W+RdyETJvmjcqKDANOVR07wqWXQqdOQUciIo0trrXLnHNLgCXVnpsWdf/CJMclKSoylLmoqKhKk5mINE2a8R9SK1dCcTEcPhx0JMlRXAxXXgm33BJ0JCLSmJRkQmrCBOjVK2qzshTnHPzP/8CTT/rX9yMi4aMkE0I7dsC770J2tjeZMR306OHtjllSAlu3Bh2NiDQWJZkQWrXKO557LjRLgx1/bKaR+SvjvPO8x6tXBxuPiDQeJZkQiiSZwYMb53pz5hyZ9e+n88/3jpF/n4ikvzT4nZx+Vq70jo2VZCLbLydb4chC8vPzK9cyiyQZ1WREmg7VZEJm505vJFbLlhCSCb1J07cvHHssvPMOfKopuyJNgmoyIbNpE+TkQP/+0KJF41xz7lzv6FeNJqJ5c/i3f/P+fRZrRTwRSTtKMiFz3nnedsU7dzbeNSdO9I5+Jxmbabhfa/yySFOi5rIQatYMjj8+6ChERBpOSSZEDh6Er2pdvzo1Re+aaTONdetg9mz47LMAgxKRRqEkEyLLlkHbtjB5ctCR+GvKFJg6FZYvDzoSEfGbkkyIvPgiHDgArVoFHUnyRddmhg71ji++GFAwItJolGRC5IUXvONFFwUbh98iSeall4KNQ0T8pyQTEjt2wIYNkJWV/pt79esHrVvDli3w4YdBRyMiflKSCYlI09HgwY03PybCucZdGblZsyOrGahfRiS9KcmExPPPe8d0byoDb4TZ0wdvBtQvI5LulGRCwLkj/TEXNpU9Rk99EbI+5bF37g06EhHxkWb8h4CZt2jkihXeRmWNrV8/7+j3BmmREWY206DzBvjZcWBgMydXeV1E0oeSTEiceqp3C8L69QFcVGuXiTQJai6TQJXd4mDreUGHISI+UZIJ2MGDUFAAt9wC5eVBR9PIvsqmc2dg3ovwVXbQ0YiID9RcFrCVK+G11+DLL9Njq+WEtNhH376wZk1z+OcFQUcjIj5oal9rofP0097x0kuDjaMxRXfw35kJa9YAm0cEF5CI+EbNZQFyrmkmmWjDh1fc2TyiUSeEikjjUE0mQMXF8MEH0KkTDBgQXBzXXx/ctfv0AbI/hi9Oorg4mCHcIuIf1WQCFKnFjBwJmZnBxTF37pEtmBtbRgaQ+ywAS5YEE4OI+Ec1mQA984x3HDUq2DgCd/qz8PrV3PHEg9yx/8YqL2mCpkhqi6smY2aXmNk7ZrbFzKbEeH2Qma03s3Iz+5fkh5mepk+Hm26Ciy8ONo516/yf7V+rM56Bm0+GS2+s+1wRSSl11mTMLBO4D7gIKAEKzWyRc+7tqNM+BK4CbvMjyHR18cXBJxiA/HzvGFjHe/P90HxbQBcXET/FU5MZAGxxzr3vnDsILADGRJ/gnPvAOfcmcNiHGKWpcEBpQGvriIgv4umT6QJE/8wsAQoactGioqKGvN0XjRnT3r0ZzJjRjaFDdzNiRGnC709+rPm1ltuQ68X93kOZ8ODrsPObcNvxkL2zwddOVBj/LmuiWP2hWBOXm5tb6+vx1GRiLWWo3tgGWL26LStXtuOppzoFHUooFI4spHD0Ws49oyu4TH5+TGHQIYlIksRTkykBTop63BX4qCEXzY90AoRA5NdAY8b0q195x2uvbZXYdRd7B79iParcBlyvPp/rtdfC3/8ORUWnwDnec/0X9wf8HWUWxN9AfSlWfyjW+isrK6v19XhqMoVArpl1M7PmwOXAoiTE1iSVlcFzz3nzQ7773aCjCZcxY7z12158EfiyfdDhiEgS1JlknHPlwCRgKbAReMI5V2xms8xsNICZ9TezEmAcMMfMiv0MOpX97W/eysuDBsHxxwcdTbi0bw9Dh8KhQzDntF2aIyOSBuKaJ+OcW+KcO8M5d5pz7q6K56Y55xZV3C90znV1zmU75zo453r6GXQqmzfPO/7gB8HGEa2oyLuFwZVXesfI5xRhM7XLmUgq0rIyjeif//SW9j/2WBg3LuhojujX78gWzEH77nchOxvefRd27676ms00JRuRFKNlZRpRu3bwX/8FpaXQunXQ0YRTTg6sWuUtlNm8udfhr8QikrqUZBpR27bwk58EHcXRJkzwjkEtklld375VH0f6ZpRsRFKPmsuEhx7ybmHz+edeE6OIpC4lmUYyYQJMnQqffRZ0JKnh2WfhxBNj1/xUoxFJHWouawQlJfCnP3lzYyZPDjqa1JCf7w1lXrzY29jtlFOqvh6daDTUWSS8VJNpBHPmwOHDcNllmhsTr06d4Hvf81aGfvBB77makklk1JlqOCLhoyTjs3374IEHvPs//nGwsaSam27yjnPnwp493n033VXeRCT8lGR89sgjsGsXDBgA558fdDSpZeBAOPdcb75MvAMTVJsRCRclGR99/TX89rfe/SlTwEL6/de379HDhsNiSsU+rL/7nbccTzTVakTCT0nGRy+9BFu3Qvfu3uKPYRX49su1GDECevb0PsPaRuZFJxrVZkTCQ6PLfDRsGCxfDvv3eyPLJHEZGfDKK4mvkBBJNKrliARLScZnQ4YEHUHqizfBaAkakfDR72sf7N0b3uanWMzC218U7fXX4YorvD15alK9j0ZDm0WCpSTjg5kzvcmEM2cGHUl6mTwZFiyAGTOCjkRE4qUkk2QbNsDvf+/VDEaODDqa9PKHP3h9NPfe69VqEqEJmyLBUJJJokOH4MYbjxxDsgV32ujTByZN8lZPuOEGKC+v+VwNbRYJByWZJPrNb+Dll+G44+DOO4OOJj3NmuUtnPnqqzB7dt3nx5pLoxqNSONRkkmS9evhl7/07j/6qLdBmSRfmzbe5wte38xrr9W/LCUbEf8pySTJlCneDP9Jk+CSS4KOJr1ddBHccou3c+ZHH8X/PjWhiTQ+zZNJkgUL4Fe/gv/4j6AjSdycOUFHkLi774arr4bevRN/b/WdNvsv7u+9sDj2eSJSf0oyDXDokDeKLCMD2rf3RpWlosj2y6mkRYuqCWbdOsjLg2OOSd41qjelKemIJE5Jpp7Ky71f0i1bevudZGYGHVHTtXgxfPe78J3vwGOPxZ9oIkmjqKgIgPyK4YDqpxEA0JszAAAGkklEQVRJHiWZetizx9tQ67nnIDsbbr0Vzjwz6Kjqb+5c75iKNRqAjh29ms1f/uJtq/Dkk94AgfqqaXmampKPajgiNVPHf4Leesvb5+S557wvtxdeSO0EAzBxondLVQUF8OKL0Lmz99+joCDxyZoNoVFqIjVTTSZOBw96fS7Tp8NXX8E3vwlPPw2nnRZ0ZALQvz+sXQujR3urLhQUwLRpcNttXi0nUbVt9Swi8VNNJk4PPOANU/7qK7juOigsVIIJm27dvEmaN9zg/Si4915vm4XGEl2jiV7Gpnpi0hI30pSoJlOD7du9JpfI+mMTJ8LSpXDzzXDxxcHGJjXLyvJ+EIwb562G3bat9/zu3fDww/D978PJJ9e//Fg1nFhJpK5zanpe/TuSbuJKMmZ2CfBfQCbwsHNudrXXWwD/DfQDdgHfd859kNxQ/bV3L7zxhte2/9xz3i/irCz4+GOvc79lS1iyJOgoJV5Dh1Z9/Mc/es1nt98O55zj/VAYPNhrVmuo6vNuGiLeMly+kpGkhjqTjJllAvcBFwElQKGZLXLOvR112rXAbufc6WZ2OfBr4Pt+BJwo57wmk717vVFhO3dCq1bQo4f3+ptvZjNjRjdKSrxzI445xtvZcvduL8lIahs40BsR+PTT3k6br7ziPZ+RAf36ncH9978LeH8Df/sbHH88nHCCVxPKyfFWF6hLbbWQ6ORRffRafTZba2hCi3XNWMlSNStpKHOu9j8iMzsbmOGcG1bxeCqAc+7uqHOWVpyzxsyaAR8DnVxU4WVlZfprFRFJY23atDnq1088Hf9dgG1Rj0sqnot5jnOuHCgDOtQvTBERSRfxJJlY9fLqtZJ4zhERkSYmno7/EuCkqMddgepr30bOKaloLmsDlEafEKsaJSIi6S2emkwhkGtm3cysOXA5sKjaOYuAH1Xc/xfgJVdXZ4+IiKS9OpNMRR/LJGApsBF4wjlXbGazzGx0xWl/AjqY2Rbgp8AUvwL2i5ndY2abzOxNM/tfM2sbdEzVmdklZvaOmW0xs9B+xmZ2kpktN7ONZlZsZpODjqk2ZpZpZv8ws2eCjqU2ZtbWzJ6s+DvdWDEoJ5TM7JaK//YbzGy+mbUMOqYIM3vEzD41sw1Rz7U3s+fNbHPFMRTbDtYQa+i/q6LVObqsqTCzi/FqYOVm9msA59wdAYdVqWIo+btEDSUHrqg2lDwUzOwE4ATn3HozawWsA8aGMVYAM/spkA+0ds6NCjqempjZPGC1c+7hilaFLOfc50HHVZ2ZdQFeBno45/ab2RPAEufco8FG5jGzQcBe4L+dc70qnvtPoNQ5N7viB1y7MPz/X0Osof6uqk7LylRwzi2rqLUBrMXrewqTAcAW59z7zrmDwAJgTMAxxeSc2+GcW19xfw9eDbj6iMRQMLOuwEjg4aBjqY2ZtQYG4bUa4Jw7GMYEE6UZcGxFH20WR/fjBsY5t4pqfcZ4/y/Nq7g/DxjbqEHVIFasKfBdVYWSTGzXAM8GHUQ18QwlDx0zOwXoA7wabCQ1+gNwO3A46EDqcCrwGfD/Kpr2HjazUE4Tds5tB34DfAjsAMqcc8uCjapOxznndoD3IwnoHHA88Qrjd1UVTSrJmNkLFW3E1W9jos75d6Ac+HNwkcaUcsPEzSwH+P/Azc65L4KOpzozGwV86pxbF3QscWgG9AUecM71AfYR0r7Piv6MMUA34EQg28x+EGxU6SfE31VVNKkFMp1zF9b2upn9CBgFXBDC0XHxDCUPDTM7Bi/B/Nk597eg46nBucBoMxsBtARam9njzrkwfiGWACXOuUiN8ElCmmSAC4F/Ouc+AzCzvwHnAI8HGlXtPjGzE5xzOyr6FD8NOqDahPy7qoomVZOpTcUioHcAo51zXwYdTwzxDCUPBTMzvL6Djc653wUdT02cc1Odc12dc6fgfZ4vhTTB4Jz7GNhmZt0rnroACOVACrxmsoFmllXxt3ABXr9cmEVPw/gR8FSAsdQqBb6rqtDosgoVw69b4K0iDbDWOXdDgCEdpeIX9x/wVsN+xDl3V8AhxWRm5wGrgbc40tfxc+dcaNexNrMhwG0hH112Ft4AhebA+8DVzrndwUYVm5nNxFsktxz4B3Cdc+6rYKPymNl8YAjQEfgEmA4sBJ4ATsZLkuOcc9UHBzS6GmKdSsi/q6IpyYiIiG/UXCYiIr5RkhEREd8oyYiIiG+UZERExDdKMiIi4hslGRER8Y2SjIiI+EZJRkREfPN/Yd5Lt28MbKYAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, @@ -1732,7 +1732,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "actual mean=1.30, std=1.12\n", + "actual mean=1.30, std=1.13\n", "EKF mean=1.00, std=0.95\n" ] } @@ -1751,14 +1751,14 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "
" ] }, "metadata": {}, @@ -1802,7 +1802,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.4" + "version": "3.6.5" } }, "nbformat": 4, diff --git a/kf_book/nonlinear_plots.py b/kf_book/nonlinear_plots.py index 416eebf..fb26168 100644 --- a/kf_book/nonlinear_plots.py +++ b/kf_book/nonlinear_plots.py @@ -1,332 +1,339 @@ -# -*- coding: utf-8 -*- - -"""Copyright 2015 Roger R Labbe Jr. - - -Code supporting the book - -Kalman and Bayesian Filters in Python -https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python - - -This is licensed under an MIT license. See the LICENSE.txt file -for more information. -""" - -from __future__ import (absolute_import, division, print_function, - unicode_literals) - -import math -from matplotlib import cm -import matplotlib.pyplot as plt -from mpl_toolkits.mplot3d import Axes3D -import numpy as np -from numpy.random import normal, multivariate_normal -import scipy.stats - -from filterpy.kalman import MerweScaledSigmaPoints, unscented_transform -from filterpy.stats import multivariate_gaussian - - -def plot_nonlinear_func(data, f, out_lim=None, num_bins=300): - - ys = f(data) - x0 = np.mean(data) - in_std = np.std(data) - - y = f(x0) - std = np.std(ys) - - in_lims = [x0 - in_std*3, x0 + in_std*3] - if out_lim is None: - out_lim = [y - std*3, y + std*3] - - # plot output - h = np.histogram(ys, num_bins, density=False) - plt.subplot(221) - plt.plot(h[1][1:], h[0], lw=2, alpha=0.8) - if out_lim is not None: - plt.xlim(out_lim[0], out_lim[1]) - - plt.gca().yaxis.set_ticklabels([]) - plt.title('Output') - - plt.axvline(np.mean(ys), ls='--', lw=2) - plt.axvline(f(x0), lw=1) - - - norm = scipy.stats.norm(y, in_std) - - '''min_x = norm.ppf(0.001) - max_x = norm.ppf(0.999) - xs = np.arange(min_x, max_x, (max_x - min_x) / 1000) - pdf = norm.pdf(xs) - plt.plot(pdf * max(h[0])/max(pdf), xs, lw=1, color='k') - print(max(norm.pdf(xs)))''' - - # plot transfer function - plt.subplot(2, 2, 3) - x = np.arange(in_lims[0], in_lims[1], 0.1) - y = f(x) - plt.plot (x, y, 'k') - isct = f(x0) - plt.plot([x0, x0, in_lims[1]], [out_lim[1], isct, isct], color='r', lw=1) - plt.xlim(in_lims) - plt.ylim(out_lim) - #plt.axis('equal') - plt.title('f(x)') - - # plot input - h = np.histogram(data, num_bins, density=True) - - plt.subplot(2,2,4) - plt.plot(h[0], h[1][1:], lw=2) - #plt.ylim(in_lims) - plt.gca().xaxis.set_ticklabels([]) - plt.title('Input') - plt.tight_layout() - plt.show() - - -def plot_ekf_vs_mc(): - - def fx(x): - return x**3 - - def dfx(x): - return 3*x**2 - - mean = 1 - var = .1 - std = math.sqrt(var) - - data = normal(loc=mean, scale=std, size=50000) - d_t = fx(data) - - mean_ekf = fx(mean) - slope = dfx(mean) - std_ekf = abs(slope*std) - - norm = scipy.stats.norm(mean_ekf, std_ekf) - xs = np.linspace(-3, 5, 200) - plt.plot(xs, norm.pdf(xs), lw=2, ls='--', color='b') - plt.hist(d_t, bins=200, normed=True, histtype='step', lw=2, color='g') - - actual_mean = d_t.mean() - plt.axvline(actual_mean, lw=2, color='g', label='Monte Carlo') - plt.axvline(mean_ekf, lw=2, ls='--', color='b', label='EKF') - plt.legend() - plt.show() - - print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) - print('EKF mean={:.2f}, std={:.2f}'.format(mean_ekf, std_ekf)) - - -def plot_ukf_vs_mc(alpha=0.001, beta=3., kappa=1.): - - def fx(x): - return x**3 - - def dfx(x): - return 3*x**2 - - mean = 1 - var = .1 - std = math.sqrt(var) - - data = normal(loc=mean, scale=std, size=50000) - d_t = fx(data) - - - points = MerweScaledSigmaPoints(1, alpha, beta, kappa) - Wm, Wc = points.Wm, points.Wc - sigmas = points.sigma_points(mean, var) - - sigmas_f = np.zeros((3, 1)) - for i in range(3): - sigmas_f[i] = fx(sigmas[i, 0]) - - ### pass through unscented transform - ukf_mean, ukf_cov = unscented_transform(sigmas_f, Wm, Wc) - ukf_mean = ukf_mean[0] - ukf_std = math.sqrt(ukf_cov[0]) - - norm = scipy.stats.norm(ukf_mean, ukf_std) - xs = np.linspace(-3, 5, 200) - plt.plot(xs, norm.pdf(xs), ls='--', lw=2, color='b') - plt.hist(d_t, bins=200, normed=True, histtype='step', lw=2, color='g') - - actual_mean = d_t.mean() - plt.axvline(actual_mean, lw=2, color='g', label='Monte Carlo') - plt.axvline(ukf_mean, lw=2, ls='--', color='b', label='UKF') - plt.legend() - plt.show() - - print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) - print('UKF mean={:.2f}, std={:.2f}'.format(ukf_mean, ukf_std)) - - - -def test_plot(): - import math - from numpy.random import normal - from scipy import stats - global data - - def f(x): - return 2*x + 1 - - mean = 2 - var = 3 - std = math.sqrt(var) - - data = normal(loc=2, scale=std, size=50000) - - d2 = f(data) - n = scipy.stats.norm(mean, std) - - kde1 = stats.gaussian_kde(data, bw_method='silverman') - kde2 = stats.gaussian_kde(d2, bw_method='silverman') - xs = np.linspace(-10, 10, num=200) - - #plt.plot(data) - plt.plot(xs, kde1(xs)) - plt.plot(xs, kde2(xs)) - plt.plot(xs, n.pdf(xs), color='k') - - num_bins=100 - h = np.histogram(data, num_bins, density=True) - plt.plot(h[1][1:], h[0], lw=4) - - h = np.histogram(d2, num_bins, density=True) - plt.plot(h[1][1:], h[0], lw=4) - - -def plot_bivariate_colormap(xs, ys): - xs = np.asarray(xs) - ys = np.asarray(ys) - xmin = xs.min() - xmax = xs.max() - ymin = ys.min() - ymax = ys.max() - values = np.vstack([xs, ys]) - kernel = scipy.stats.gaussian_kde(values) - X, Y = np.mgrid[xmin:xmax:100j, ymin:ymax:100j] - positions = np.vstack([X.ravel(), Y.ravel()]) - - Z = np.reshape(kernel.evaluate(positions).T, X.shape) - plt.gca().imshow(np.rot90(Z), cmap=plt.cm.Greys, - extent=[xmin, xmax, ymin, ymax]) - - - -def plot_monte_carlo_mean(xs, ys, f, mean_fx, label, plot_colormap=True): - fxs, fys = f(xs, ys) - - computed_mean_x = np.average(fxs) - computed_mean_y = np.average(fys) - - ax = plt.subplot(121) - ax.grid(b=False) - - plot_bivariate_colormap(xs, ys) - - plt.scatter(xs, ys, marker='.', alpha=0.02, color='k') - ax.set_xlim(-20, 20) - ax.set_ylim(-20, 20) - - ax = plt.subplot(122) - ax.grid(b=False) - - plt.scatter(fxs, fys, marker='.', alpha=0.02, color='k') - plt.scatter(mean_fx[0], mean_fx[1], - marker='v', s=300, c='r', label=label) - plt.scatter(computed_mean_x, computed_mean_y, - marker='*',s=120, c='b', label='Computed Mean') - - plot_bivariate_colormap(fxs, fys) - ax.set_xlim([-100, 100]) - ax.set_ylim([-10, 200]) - plt.legend(loc='best', scatterpoints=1) - print ('Difference in mean x={:.3f}, y={:.3f}'.format( - computed_mean_x-mean_fx[0], computed_mean_y-mean_fx[1])) - - -def plot_cov_ellipse_colormap(cov=[[1,1],[1,1]]): - side = np.linspace(-3, 3, 200) - X,Y = np.meshgrid(side,side) - - pos = np.empty(X.shape + (2,)) - pos[:, :, 0] = X; - pos[:, :, 1] = Y - plt.axes(xticks=[], yticks=[], frameon=True) - rv = scipy.stats.multivariate_normal((0,0), cov) - plt.gca().grid(b=False) - plt.gca().imshow(rv.pdf(pos), cmap=plt.cm.Greys, origin='lower') - plt.show() - - -def plot_gaussians(xs, ps, x_range, y_range, N): - """ given a list of 2d states (x,y) and 2x2 covariance matrices, produce - a surface plot showing all of the gaussians""" - - xs = np.asarray(xs) - x = np.linspace (x_range[0], x_range[1], N) - y = np.linspace (y_range[0], y_range[1], N) - xx, yy = np.meshgrid(x, y) - zv = np.zeros((N, N)) - - for mean, cov in zip(xs, ps): - zs = np.array([multivariate_gaussian(np.array([i ,j]), mean, cov) - for i, j in zip(np.ravel(xx), np.ravel(yy))]) - zv += zs.reshape(xx.shape) - - ax = plt.figure().add_subplot(111, projection='3d') - ax.plot_surface(xx, yy, zv, rstride=1, cstride=1, lw=.5, edgecolors='#191919', - antialiased=True, shade=True, cmap=cm.autumn) - ax.view_init(elev=40., azim=230) - - -if __name__ == "__main__": - #plot_cov_ellipse_colormap(cov=[[2, 1.2], [1.2, 2]]) - ''' - from numpy.random import normal - import numpy as np - - plot_ukf_vs_mc()''' - - '''x0 = (1, 1) - data = normal(loc=x0[0], scale=x0[1], size=500000) - - def g(x): - return x*x - return (np.cos(3*(x/2+0.7)))*np.sin(0.7*x)-1.6*x - return -2*x - - - #plot_transfer_func (data, g, lims=(-3,3), num_bins=100) - plot_nonlinear_func (data, g, gaussian=x0, - num_bins=100) - ''' - - Ps = np.array([[[ 2.85841814, 0.71772898], - [ 0.71772898, 0.93786824]], - - [[ 3.28939458, 0.52634978], - [ 0.52634978, 0.13435503]], - - [[ 2.40532661, 0.29692055], - [ 0.29692055, 0.07671416]], - - [[ 2.23084082, 0.27823192], - [ 0.27823192, 0.07488681]]]) - - Ms = np.array([[ 0.68040795, 0.17084572], - [ 8.46201389, 1.15070342], - [ 13.7992229 , 0.96022707], - [ 19.95838208, 0.87524265]]) - - plot_multiple_gaussians(Ms, Ps, (-5,25), (-5, 5), 75) - - - +# -*- coding: utf-8 -*- + +"""Copyright 2015 Roger R Labbe Jr. + + +Code supporting the book + +Kalman and Bayesian Filters in Python +https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python + + +This is licensed under an MIT license. See the LICENSE.txt file +for more information. +""" + +from __future__ import (absolute_import, division, print_function, + unicode_literals) + +import math +from matplotlib import cm +import matplotlib.pyplot as plt +from mpl_toolkits.mplot3d import Axes3D +import numpy as np +from numpy.random import normal, multivariate_normal +import scipy.stats + +from filterpy.kalman import MerweScaledSigmaPoints, unscented_transform +from filterpy.stats import multivariate_gaussian + + +def plot_nonlinear_func(data, f, out_lim=None, num_bins=300): + ys = f(data) + x0 = np.mean(data) + in_std = np.std(data) + + y = f(x0) + std = np.std(ys) + + in_lims = [x0 - in_std*3, x0 + in_std*3] + if out_lim is None: + out_lim = [y - std*3, y + std*3] + + # plot output + h = np.histogram(ys, num_bins, density=False) + plt.subplot(221) + plt.plot(h[1][1:], h[0], lw=2, alpha=0.8) + if out_lim is not None: + plt.xlim(out_lim[0], out_lim[1]) + + plt.gca().yaxis.set_ticklabels([]) + plt.title('Output') + + plt.axvline(np.mean(ys), ls='--', lw=2) + plt.axvline(f(x0), lw=1) + + + norm = scipy.stats.norm(y, in_std) + + '''min_x = norm.ppf(0.001) + max_x = norm.ppf(0.999) + xs = np.arange(min_x, max_x, (max_x - min_x) / 1000) + pdf = norm.pdf(xs) + plt.plot(pdf * max(h[0])/max(pdf), xs, lw=1, color='k') + print(max(norm.pdf(xs)))''' + + # plot transfer function + plt.subplot(2, 2, 3) + x = np.arange(in_lims[0], in_lims[1], 0.1) + y = f(x) + plt.plot (x, y, 'k') + isct = f(x0) + plt.plot([x0, x0, in_lims[1]], [out_lim[1], isct, isct], color='r', lw=1) + plt.xlim(in_lims) + plt.ylim(out_lim) + #plt.axis('equal') + plt.title('f(x)') + + # plot input + h = np.histogram(data, num_bins, density=True) + + plt.subplot(2,2,4) + plt.plot(h[0], h[1][1:], lw=2) + #plt.ylim(in_lims) + plt.gca().xaxis.set_ticklabels([]) + plt.title('Input') + plt.tight_layout() + plt.show() + + +def plot_ekf_vs_mc(): + + def fx(x): + return x**3 + + def dfx(x): + return 3*x**2 + + mean = 1 + var = .1 + std = math.sqrt(var) + + data = normal(loc=mean, scale=std, size=50000) + d_t = fx(data) + + mean_ekf = fx(mean) + slope = dfx(mean) + std_ekf = abs(slope*std) + + norm = scipy.stats.norm(mean_ekf, std_ekf) + xs = np.linspace(-3, 5, 200) + plt.plot(xs, norm.pdf(xs), lw=2, ls='--', color='b') + try: + plt.hist(d_t, bins=200, density=True, histtype='step', lw=2, color='g') + except: + # older versions of matplotlib don't have the density keyword + plt.hist(d_t, bins=200, normed=True, histtype='step', lw=2, color='g') + + actual_mean = d_t.mean() + plt.axvline(actual_mean, lw=2, color='g', label='Monte Carlo') + plt.axvline(mean_ekf, lw=2, ls='--', color='b', label='EKF') + plt.legend() + plt.show() + + print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) + print('EKF mean={:.2f}, std={:.2f}'.format(mean_ekf, std_ekf)) + + +def plot_ukf_vs_mc(alpha=0.001, beta=3., kappa=1.): + + def fx(x): + return x**3 + + def dfx(x): + return 3*x**2 + + mean = 1 + var = .1 + std = math.sqrt(var) + + data = normal(loc=mean, scale=std, size=50000) + d_t = fx(data) + + + points = MerweScaledSigmaPoints(1, alpha, beta, kappa) + Wm, Wc = points.Wm, points.Wc + sigmas = points.sigma_points(mean, var) + + sigmas_f = np.zeros((3, 1)) + for i in range(3): + sigmas_f[i] = fx(sigmas[i, 0]) + + ### pass through unscented transform + ukf_mean, ukf_cov = unscented_transform(sigmas_f, Wm, Wc) + ukf_mean = ukf_mean[0] + ukf_std = math.sqrt(ukf_cov[0]) + + norm = scipy.stats.norm(ukf_mean, ukf_std) + xs = np.linspace(-3, 5, 200) + plt.plot(xs, norm.pdf(xs), ls='--', lw=2, color='b') + try: + plt.hist(d_t, bins=200, density=True, histtype='step', lw=2, color='g') + except: + # older versions of matplotlib don't have the density keyword + plt.hist(d_t, bins=200, normed=True, histtype='step', lw=2, color='g') + + actual_mean = d_t.mean() + plt.axvline(actual_mean, lw=2, color='g', label='Monte Carlo') + plt.axvline(ukf_mean, lw=2, ls='--', color='b', label='UKF') + plt.legend() + plt.show() + + print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) + print('UKF mean={:.2f}, std={:.2f}'.format(ukf_mean, ukf_std)) + + + +def test_plot(): + import math + from numpy.random import normal + from scipy import stats + global data + + def f(x): + return 2*x + 1 + + mean = 2 + var = 3 + std = math.sqrt(var) + + data = normal(loc=2, scale=std, size=50000) + + d2 = f(data) + n = scipy.stats.norm(mean, std) + + kde1 = stats.gaussian_kde(data, bw_method='silverman') + kde2 = stats.gaussian_kde(d2, bw_method='silverman') + xs = np.linspace(-10, 10, num=200) + + #plt.plot(data) + plt.plot(xs, kde1(xs)) + plt.plot(xs, kde2(xs)) + plt.plot(xs, n.pdf(xs), color='k') + + num_bins=100 + h = np.histogram(data, num_bins, density=True) + plt.plot(h[1][1:], h[0], lw=4) + + h = np.histogram(d2, num_bins, density=True) + plt.plot(h[1][1:], h[0], lw=4) + + +def plot_bivariate_colormap(xs, ys): + xs = np.asarray(xs) + ys = np.asarray(ys) + xmin = xs.min() + xmax = xs.max() + ymin = ys.min() + ymax = ys.max() + values = np.vstack([xs, ys]) + kernel = scipy.stats.gaussian_kde(values) + X, Y = np.mgrid[xmin:xmax:100j, ymin:ymax:100j] + positions = np.vstack([X.ravel(), Y.ravel()]) + + Z = np.reshape(kernel.evaluate(positions).T, X.shape) + plt.gca().imshow(np.rot90(Z), cmap=plt.cm.Greys, + extent=[xmin, xmax, ymin, ymax]) + + + +def plot_monte_carlo_mean(xs, ys, f, mean_fx, label, plot_colormap=True): + fxs, fys = f(xs, ys) + + computed_mean_x = np.average(fxs) + computed_mean_y = np.average(fys) + + ax = plt.subplot(121) + ax.grid(b=False) + + plot_bivariate_colormap(xs, ys) + + plt.scatter(xs, ys, marker='.', alpha=0.02, color='k') + ax.set_xlim(-20, 20) + ax.set_ylim(-20, 20) + + ax = plt.subplot(122) + ax.grid(b=False) + + plt.scatter(fxs, fys, marker='.', alpha=0.02, color='k') + plt.scatter(mean_fx[0], mean_fx[1], + marker='v', s=300, c='r', label=label) + plt.scatter(computed_mean_x, computed_mean_y, + marker='*',s=120, c='b', label='Computed Mean') + + plot_bivariate_colormap(fxs, fys) + ax.set_xlim([-100, 100]) + ax.set_ylim([-10, 200]) + plt.legend(loc='best', scatterpoints=1) + print ('Difference in mean x={:.3f}, y={:.3f}'.format( + computed_mean_x-mean_fx[0], computed_mean_y-mean_fx[1])) + + +def plot_cov_ellipse_colormap(cov=[[1,1],[1,1]]): + side = np.linspace(-3, 3, 200) + X,Y = np.meshgrid(side,side) + + pos = np.empty(X.shape + (2,)) + pos[:, :, 0] = X; + pos[:, :, 1] = Y + plt.axes(xticks=[], yticks=[], frameon=True) + rv = scipy.stats.multivariate_normal((0,0), cov) + plt.gca().grid(b=False) + plt.gca().imshow(rv.pdf(pos), cmap=plt.cm.Greys, origin='lower') + plt.show() + + +def plot_gaussians(xs, ps, x_range, y_range, N): + """ given a list of 2d states (x,y) and 2x2 covariance matrices, produce + a surface plot showing all of the gaussians""" + + xs = np.asarray(xs) + x = np.linspace (x_range[0], x_range[1], N) + y = np.linspace (y_range[0], y_range[1], N) + xx, yy = np.meshgrid(x, y) + zv = np.zeros((N, N)) + + for mean, cov in zip(xs, ps): + zs = np.array([multivariate_gaussian(np.array([i ,j]), mean, cov) + for i, j in zip(np.ravel(xx), np.ravel(yy))]) + zv += zs.reshape(xx.shape) + + ax = plt.figure().add_subplot(111, projection='3d') + ax.plot_surface(xx, yy, zv, rstride=1, cstride=1, lw=.5, edgecolors='#191919', + antialiased=True, shade=True, cmap=cm.autumn) + ax.view_init(elev=40., azim=230) + + +if __name__ == "__main__": + #plot_cov_ellipse_colormap(cov=[[2, 1.2], [1.2, 2]]) + ''' + from numpy.random import normal + import numpy as np + + plot_ukf_vs_mc()''' + + '''x0 = (1, 1) + data = normal(loc=x0[0], scale=x0[1], size=500000) + + def g(x): + return x*x + return (np.cos(3*(x/2+0.7)))*np.sin(0.7*x)-1.6*x + return -2*x + + + #plot_transfer_func (data, g, lims=(-3,3), num_bins=100) + plot_nonlinear_func (data, g, gaussian=x0, + num_bins=100) + ''' + + Ps = np.array([[[ 2.85841814, 0.71772898], + [ 0.71772898, 0.93786824]], + + [[ 3.28939458, 0.52634978], + [ 0.52634978, 0.13435503]], + + [[ 2.40532661, 0.29692055], + [ 0.29692055, 0.07671416]], + + [[ 2.23084082, 0.27823192], + [ 0.27823192, 0.07488681]]]) + + Ms = np.array([[ 0.68040795, 0.17084572], + [ 8.46201389, 1.15070342], + [ 13.7992229 , 0.96022707], + [ 19.95838208, 0.87524265]]) + + plot_multiple_gaussians(Ms, Ps, (-5,25), (-5, 5), 75) + + +