From 58a69500f1132e03e387a9c88f5cdebd9f426f62 Mon Sep 17 00:00:00 2001 From: Christopher Brooks Date: Wed, 6 Nov 2019 13:10:43 +0000 Subject: [PATCH] updates to exercises --- exercise1_timeseries.ipynb | 84 +- exercise2_timeseries.ipynb | 17 +- exercise3_timeseries.ipynb | 5007 +++++++++++++++++++++++++++++++++++- exercise4_timeseries.ipynb | 473 +++- 4 files changed, 5528 insertions(+), 53 deletions(-) diff --git a/exercise1_timeseries.ipynb b/exercise1_timeseries.ipynb index 444beb5..9048ae6 100644 --- a/exercise1_timeseries.ipynb +++ b/exercise1_timeseries.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -21,7 +21,87 @@ "\n", "import pandas as pd\n", "import numpy as np\n", - "df=pd.read_csv(\"datasets/run.csv\")" + "df=pd.read_csv(\"datasets/run.csv\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:1: FutureWarning: Currently, 'apply' passes the values as ndarrays to the applied function. In the future, this will change to passing it as Series objects. You need to specify 'raw=True' to keep the current behaviour, and you can pass 'raw=False' to silence this warning\n", + " \"\"\"Entry point for launching an IPython kernel.\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.set_index(pd.to_datetime(df[\"timestamp\"]))[\"heart_rate\"].resample(\"1S\").fillna(method=\"ffill\").rolling(5*60,min_periods=1).apply(np.mean).plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:1: FutureWarning: Currently, 'apply' passes the values as ndarrays to the applied function. In the future, this will change to passing it as Series objects. You need to specify 'raw=True' to keep the current behaviour, and you can pass 'raw=False' to silence this warning\n", + " \"\"\"Entry point for launching an IPython kernel.\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.set_index(pd.to_datetime(df[\"timestamp\"]))[\"heart_rate\"].resample(\"1S\").fillna(method=\"ffill\").rolling(60*5).apply(np.mean).plot()" ] } ], diff --git a/exercise2_timeseries.ipynb b/exercise2_timeseries.ipynb index f52f5c2..c1afb82 100644 --- a/exercise2_timeseries.ipynb +++ b/exercise2_timeseries.ipynb @@ -7,12 +7,14 @@ "# Exercise 2\n", "Given a dataset called run.csv which contains sensor data of my running over time, the 3 dimensional plot of this data looks somewhat noisy. Smooth it out, both getting rid of outlier noise and thresholding values to within one standard deviations of the mean.\n", "\n", - "Make my run look like that of a dancer, like water lapping rocks in a stream, instead of points of noise." + "Make my run look like that of a dancer, like water lapping rocks in a stream, instead of points of noise.\n", + "\n", + "**Hint**: a z-score can be created with the `scipy.stats.zscore` function." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -21,13 +23,13 @@ "Text(0.5, 0, 'Altitude')" ] }, - "execution_count": 12, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -58,13 +60,6 @@ "ax.set_ylabel('Latitude')\n", "ax.set_zlabel('Altitude')" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/exercise3_timeseries.ipynb b/exercise3_timeseries.ipynb index e2284e8..1d8f6e7 100644 --- a/exercise3_timeseries.ipynb +++ b/exercise3_timeseries.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -41,28 +41,28 @@ " \n", " \n", " 2019-11-04 00:00:00\n", - " 31\n", - " 48\n", + " 2\n", + " 16\n", " \n", " \n", " 2019-11-04 00:01:00\n", - " 36\n", - " 27\n", + " 43\n", + " 19\n", " \n", " \n", " 2019-11-04 00:02:00\n", - " 15\n", - " 17\n", + " 21\n", + " 42\n", " \n", " \n", " 2019-11-04 00:03:00\n", - " 0\n", - " 42\n", + " 14\n", + " 45\n", " \n", " \n", " 2019-11-04 00:04:00\n", - " 22\n", - " 25\n", + " 17\n", + " 44\n", " \n", " \n", "\n", @@ -70,14 +70,14 @@ ], "text/plain": [ " length width\n", - "2019-11-04 00:00:00 31 48\n", - "2019-11-04 00:01:00 36 27\n", - "2019-11-04 00:02:00 15 17\n", - "2019-11-04 00:03:00 0 42\n", - "2019-11-04 00:04:00 22 25" + "2019-11-04 00:00:00 2 16\n", + "2019-11-04 00:01:00 43 19\n", + "2019-11-04 00:02:00 21 42\n", + "2019-11-04 00:03:00 14 45\n", + "2019-11-04 00:04:00 17 44" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -93,6 +93,4979 @@ " \"width\":np.random.randint(0,50,size=(len(date_ranges)))}, index=date_ranges)\n", "df.head()" ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:7: FutureWarning: Currently, 'apply' passes the values as ndarrays to the applied function. In the future, this will change to passing it as Series objects. You need to specify 'raw=True' to keep the current behaviour, and you can pass 'raw=False' to silence this warning\n", + " import sys\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.]\n", + "[ 2. 43.]\n", + "[ 2. 43. 21.]\n", + "[ 2. 43. 21. 14.]\n", + "[ 2. 43. 21. 14. 17.]\n", + "[ 2. 43. 21. 14. 17. 35.]\n", + "[ 2. 43. 21. 14. 17. 35. 31.]\n", + "[ 2. 43. 21. 14. 17. 35. 31. 42.]\n", + "[ 2. 43. 21. 14. 17. 35. 31. 42. 8.]\n", + "[ 2. 43. 21. 14. 17. 35. 31. 42. 8. 10.]\n", + "[43. 21. 14. 17. 35. 31. 42. 8. 10. 16.]\n", + "[21. 14. 17. 35. 31. 42. 8. 10. 16. 37.]\n", + "[14. 17. 35. 31. 42. 8. 10. 16. 37. 46.]\n", + "[17. 35. 31. 42. 8. 10. 16. 37. 46. 49.]\n", + "[35. 31. 42. 8. 10. 16. 37. 46. 49. 26.]\n", + "[31. 42. 8. 10. 16. 37. 46. 49. 26. 21.]\n", + "[42. 8. 10. 16. 37. 46. 49. 26. 21. 4.]\n", + "[ 8. 10. 16. 37. 46. 49. 26. 21. 4. 8.]\n", + "[10. 16. 37. 46. 49. 26. 21. 4. 8. 16.]\n", + "[16. 37. 46. 49. 26. 21. 4. 8. 16. 42.]\n", + "[37. 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It only works\n", + "# on single columns\n", + "# Make sure you set min_periods=1 or you'll get a bunch of nan's\n", + "(df[\"length\"]*df[\"width\"]).rolling(10, min_periods=1).apply(np.nanmean)" + ] } ], "metadata": { diff --git a/exercise4_timeseries.ipynb b/exercise4_timeseries.ipynb index 83db077..28fcda2 100644 --- a/exercise4_timeseries.ipynb +++ b/exercise4_timeseries.ipynb @@ -5,12 +5,12 @@ "metadata": {}, "source": [ "# Exercise 4\n", - "Given this dataset of spotty heart rate values, calculate my 11 second moving heart rate which is centered on a given data point. That is, the heart rate for time 1:10 should be the average of points from 1:15 through 1:25 inclusive. Interpolate missing observations in your calculation, and include the first and last five seconds in the calculation using only whatever data you have available." + "Given this dataset of spotty heart rate values, calculate my 11 second moving heart rate which is centered on a given data point. That is, the heart rate for time 1:20 should be the average of points from 1:15 through 1:25 inclusive. Interpolate missing observations in your calculation, and include the first and last five seconds in the calculation using only whatever data you have available." ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -40,29 +40,29 @@ " \n", " \n", " \n", - " 481\n", - " 151.0\n", - " 2019-08-21 03:32:17\n", + " 50\n", + " 130.0\n", + " 2019-08-21 03:25:06\n", " \n", " \n", - " 608\n", - " 155.0\n", - " 2019-08-21 03:34:24\n", + " 255\n", + " 140.0\n", + " 2019-08-21 03:28:31\n", " \n", " \n", - " 769\n", - " 159.0\n", - " 2019-08-21 03:37:07\n", + " 1962\n", + " 157.0\n", + " 2019-08-21 03:57:00\n", " \n", " \n", - " 1507\n", - " 157.0\n", - " 2019-08-21 03:49:25\n", + " 616\n", + " 156.0\n", + " 2019-08-21 03:34:32\n", " \n", " \n", - " 223\n", - " 140.0\n", - " 2019-08-21 03:27:59\n", + " 978\n", + " 154.0\n", + " 2019-08-21 03:40:36\n", " \n", " \n", "\n", @@ -70,14 +70,14 @@ ], "text/plain": [ " heart_rate timestamp\n", - "481 151.0 2019-08-21 03:32:17\n", - "608 155.0 2019-08-21 03:34:24\n", - "769 159.0 2019-08-21 03:37:07\n", - "1507 157.0 2019-08-21 03:49:25\n", - "223 140.0 2019-08-21 03:27:59" + "50 130.0 2019-08-21 03:25:06\n", + "255 140.0 2019-08-21 03:28:31\n", + "1962 157.0 2019-08-21 03:57:00\n", + "616 156.0 2019-08-21 03:34:32\n", + "978 154.0 2019-08-21 03:40:36" ] }, - "execution_count": 16, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -91,6 +91,433 @@ "df=df.sample(round(len(df)/2))\n", "df.head()" ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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heart_ratetimestamp
timestamp
2019-08-21 03:24:17120.02019-08-21 03:24:17
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.........
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\n", + "

2066 rows × 2 columns

\n", + "
" + ], + "text/plain": [ + " heart_rate timestamp\n", + "timestamp \n", + "2019-08-21 03:24:17 120.0 2019-08-21 03:24:17\n", + "2019-08-21 03:24:18 NaN NaN\n", + "2019-08-21 03:24:19 122.0 2019-08-21 03:24:19\n", + "2019-08-21 03:24:20 121.0 2019-08-21 03:24:20\n", + "2019-08-21 03:24:21 NaN NaN\n", + "2019-08-21 03:24:22 119.0 2019-08-21 03:24:22\n", + "2019-08-21 03:24:23 NaN NaN\n", + "2019-08-21 03:24:24 119.0 2019-08-21 03:24:24\n", + "2019-08-21 03:24:25 NaN NaN\n", + "2019-08-21 03:24:26 NaN NaN\n", + "2019-08-21 03:24:27 NaN NaN\n", + "2019-08-21 03:24:28 122.0 2019-08-21 03:24:28\n", + "2019-08-21 03:24:29 122.0 2019-08-21 03:24:29\n", + "2019-08-21 03:24:30 123.0 2019-08-21 03:24:30\n", + "2019-08-21 03:24:31 123.0 2019-08-21 03:24:31\n", + "2019-08-21 03:24:32 NaN NaN\n", + "2019-08-21 03:24:33 NaN NaN\n", + "2019-08-21 03:24:34 NaN NaN\n", + "2019-08-21 03:24:35 NaN NaN\n", + "2019-08-21 03:24:36 NaN NaN\n", + "2019-08-21 03:24:37 NaN NaN\n", + "2019-08-21 03:24:38 NaN NaN\n", + "2019-08-21 03:24:39 NaN NaN\n", + "2019-08-21 03:24:40 126.0 2019-08-21 03:24:40\n", + "2019-08-21 03:24:41 126.0 2019-08-21 03:24:41\n", + "2019-08-21 03:24:42 NaN NaN\n", + "2019-08-21 03:24:43 127.0 2019-08-21 03:24:43\n", + "2019-08-21 03:24:44 NaN NaN\n", + "2019-08-21 03:24:45 127.0 2019-08-21 03:24:45\n", + "2019-08-21 03:24:46 127.0 2019-08-21 03:24:46\n", + "... ... ...\n", + "2019-08-21 03:58:13 NaN NaN\n", + "2019-08-21 03:58:14 156.0 2019-08-21 03:58:14\n", + "2019-08-21 03:58:15 NaN NaN\n", + "2019-08-21 03:58:16 157.0 2019-08-21 03:58:16\n", + "2019-08-21 03:58:17 157.0 2019-08-21 03:58:17\n", + "2019-08-21 03:58:18 NaN NaN\n", + "2019-08-21 03:58:19 NaN NaN\n", + "2019-08-21 03:58:20 158.0 2019-08-21 03:58:20\n", + "2019-08-21 03:58:21 158.0 2019-08-21 03:58:21\n", + "2019-08-21 03:58:22 NaN NaN\n", + "2019-08-21 03:58:23 157.0 2019-08-21 03:58:23\n", + "2019-08-21 03:58:24 157.0 2019-08-21 03:58:24\n", + "2019-08-21 03:58:25 156.0 2019-08-21 03:58:25\n", + "2019-08-21 03:58:26 NaN NaN\n", + "2019-08-21 03:58:27 NaN NaN\n", + "2019-08-21 03:58:28 NaN NaN\n", + "2019-08-21 03:58:29 NaN NaN\n", + "2019-08-21 03:58:30 159.0 2019-08-21 03:58:30\n", + "2019-08-21 03:58:31 159.0 2019-08-21 03:58:31\n", + "2019-08-21 03:58:32 158.0 2019-08-21 03:58:32\n", + "2019-08-21 03:58:33 158.0 2019-08-21 03:58:33\n", + "2019-08-21 03:58:34 159.0 2019-08-21 03:58:34\n", + "2019-08-21 03:58:35 NaN NaN\n", + "2019-08-21 03:58:36 161.0 2019-08-21 03:58:36\n", + "2019-08-21 03:58:37 161.0 2019-08-21 03:58:37\n", + "2019-08-21 03:58:38 NaN NaN\n", + "2019-08-21 03:58:39 NaN NaN\n", + "2019-08-21 03:58:40 163.0 2019-08-21 03:58:40\n", + "2019-08-21 03:58:41 163.0 2019-08-21 03:58:41\n", + "2019-08-21 03:58:42 164.0 2019-08-21 03:58:42\n", + "\n", + "[2066 rows x 2 columns]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Exercise 4\n", + "# Make sure you center the rolling window\n", + "# Make sure you set min_periods, the default requires them all to be filled in\n", + "# Don't ffill, this will throw off the average I explicitly asked for! Even though an ffill would make sense here phsysiologically\n", + "df.set_index(pd.to_datetime(df[\"timestamp\"])).resample(\"1s\").asfreq().sort_index().interpolate()[\"heart_rate\"].rolling(11,center=True,min_periods=1).apply(np.nanmean)" + ] } ], "metadata": {