{ "cells": [ { "cell_type": "markdown", "source": [ "# Demo 7 (PE): Analyzing Keypoint Movement and Kinematics in Pose Estimation Data\n", "\n", "*Written and last updated September 18, 2025 by Sedona Ewbank, snewbank@stanford.edu*\n", "\n", "The purpose of this demo is to demonstrate how to measure and plot keypoint travel and ego-centered kinematics in pose estimation data types typically associated with animal experiments (DLC, SLEAP) in MARIPoSA." ], "metadata": { "collapsed": false }, "id": "f810b17d2a34588f" }, { "cell_type": "code", "outputs": [ { "data": { "text/plain": "" }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import os\n", "import sys\n", "import numpy as np\n", "import pandas as pd\n", "import importlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation, FFMpegWriter\n", "from IPython.display import HTML\n", "\n", "#This block only important for running as script\n", "#script_dir = os.path.dirname(os.path.abspath(__file__))\n", "mariposa_dir = \"/Users/snewbank/PycharmProjects/MARIPoSA\"\n", "utils_dir = os.path.join(mariposa_dir, 'utils')\n", "sys.path.append(utils_dir)\n", "sys.path.append(mariposa_dir)\n", "\n", "#import utils\n", "from utils import metadata, analyze, plot, simulate\n", "\n", "importlib.reload(metadata)\n", "importlib.reload(analyze)\n", "importlib.reload(plot)\n", "importlib.reload(simulate)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-19T00:04:52.154782Z", "start_time": "2025-09-19T00:04:52.114525Z" } }, "id": "9363403ac724e37b", "execution_count": 18 }, { "cell_type": "code", "outputs": [], "source": [ "demo_dir=\"/Users/snewbank/Behavior/MARIPoSA_demo_data/\"\n", "config=metadata.load_project(demo_dir+\"250910_test_PE/config_PE.yaml\")\n", "save=True\n", "save_path = demo_dir+\"demo_figures/\"\n", "if not os.path.exists(save_path):\n", " os.makedirs(save_path)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:19.237517Z", "start_time": "2025-09-18T23:56:19.190473Z" } }, "id": "9537f03378b5f06e", "execution_count": 2 }, { "cell_type": "markdown", "source": [ "## 7.1: Measuring and plotting keypoint travel in animals\n", "\n", "The purpose of this mode of analysis is to measure how much a keypoint has travelled during a recording, with or without time binning. This could reflect locomotion (e.g., in an open field recording approach) or overall movement of a keypoint in a confined assay (e.g., a reaching task). We obtain this with analyze.get_keypoint_travel, which will return a KeypointTravel object that we can then use for further analysis. Note the threshold parameter of this function, which optionally \"cleans\" the data; it can be disabled by setting it to None." ], "metadata": { "collapsed": false }, "id": "2b56d8745f992095" }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function get_keypoint_travel in module utils.analyze:\n", "\n", "get_keypoint_travel(PE_config, keypoint, start, end, binsize=None, thresh=70, selected_subgroups='all', return_as_df=True)\n", " Measure keypodint distance travelled across group of subjects\n", " \n", " :param PE_config: pose estimation config - used for FPS only\n", " :param keypoint: name of keypoint\n", " :param start: start time in seconds\n", " :param end: end time in seconds\n", " :param binsize: if binned output is desired, size of timebins (default is None for no binning)\n", " :param thresh: threshold for when distance 'jump' is too large and should be excluded; default 70\n", " :param selected_subgroups: subgroups to analyze as defined in config; default \"all\"\n", " :param return_as_df: return as a dataframe or return as KeypointTravel class (for embedding, classification)\n", " :return:\n" ] } ], "source": [ "help(analyze.get_keypoint_travel)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:19.239855Z", "start_time": "2025-09-18T23:56:19.232958Z" } }, "id": "4aceea91ed6f25f0", "execution_count": 3 }, { "cell_type": "code", "outputs": [ { "data": { "text/plain": " 0.0 group\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 76585.673549 sal\n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 77601.985038 sal\n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 21844.904953 sal\n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 46279.020517 sal\n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 69155.547166 sal\n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 60179.625151 sal\n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 74034.204420 sal\n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 88946.845156 k1\n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 85649.979937 k1\n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 92955.598550 k1\n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 22429.103784 k1\n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 101134.822510 k1\n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 70294.549563 k1\n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 99097.355864 k5\n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 117117.595734 k5\n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 174943.106781 k5\n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 154678.418900 k5\n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 147305.238791 k5\n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 121408.153258 k5\n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 178874.593599 k10\n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 163772.740151 k10\n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 146356.555059 k10\n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 256202.052488 k10\n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 162133.395129 k10\n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 140856.419448 k10\n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 156764.561502 k10", "text/html": "
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\\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 6399.252095 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 3620.211232 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 1535.395087 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2014.415106 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 3910.104986 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 4386.361838 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 3161.170596 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 7132.427277 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 6227.053949 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 5343.981806 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 574.814660 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 4803.188901 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 3314.193903 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 15856.303259 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 9855.363540 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 13980.386907 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 15492.194395 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 11375.300372 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 13700.836614 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 11265.014433 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 11953.262476 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 4318.061746 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 23570.051169 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 13405.089466 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 878.307377 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 5808.968030 \n\n 5.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 3460.315582 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 5351.320313 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 1002.214252 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2541.982760 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 3904.234479 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 4524.004535 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 5903.910838 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 5154.259105 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 8353.814333 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 3339.687841 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 541.741661 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 5795.852212 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 1333.949901 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 10550.382890 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 7376.524999 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 12579.660954 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 10945.722452 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 9175.033094 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 11320.928608 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 12343.530581 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 15763.644870 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 7187.792082 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 18951.071018 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 14297.165685 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 850.194499 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 7137.626090 \n\n 6.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 1016.990993 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 6009.554638 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 1054.906797 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2881.827623 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 3953.831284 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 2291.139233 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 3711.337363 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 6499.133309 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 6247.864234 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 2991.561963 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 554.249522 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 5318.264303 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 3547.871827 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 9436.532736 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 7655.121246 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 11937.358990 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 7707.970097 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 7663.504950 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 10849.105647 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 13109.885729 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 17379.785409 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 9062.464735 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 16536.410407 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 19119.371373 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 800.261095 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 11072.575732 \n\n 7.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 2570.881432 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 3952.848740 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 1108.866013 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2246.780758 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 4420.781394 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 1999.318602 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 2840.721863 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 4838.891810 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 4675.471830 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 4323.656226 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 614.487656 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 5055.511504 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 1639.513297 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 5250.601216 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 7192.705189 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 10741.868081 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 6223.306978 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 6023.044032 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 9040.392641 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 14265.232545 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 16629.811314 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 10455.246228 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 14840.127977 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 18978.367552 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 2530.965888 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 9573.996864 \n\n 8.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 5468.918087 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 5135.739960 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 998.275640 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 3373.222174 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 2795.601820 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 4098.064644 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 4470.272583 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 4362.034290 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 1606.425168 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 4578.547308 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 553.554121 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 5197.850531 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 3787.331547 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 3021.957967 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 5686.557703 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 10516.169960 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 4704.248748 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 3156.044494 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 6958.009582 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 12622.386646 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 16709.346509 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 14283.478704 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 15261.406690 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 17304.071745 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 3584.427386 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 10198.357200 \n\n 9.0 ... \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 6059.387430 ... \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 2218.138347 ... \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 1074.835503 ... \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 1624.433605 ... \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 2183.251945 ... \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 1537.187124 ... \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 4842.918753 ... \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 7835.191761 ... \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 3986.807139 ... \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 1474.808605 ... \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 541.568858 ... \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 6794.038094 ... \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 3724.773400 ... \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 2782.403189 ... \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 4683.214772 ... \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 6999.421026 ... \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 1756.926066 ... \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 5384.563438 ... \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 9139.713930 ... \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 14532.162772 ... \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 15048.740676 ... \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 11130.539709 ... \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 16009.304633 ... \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 11322.589042 ... \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 6113.109571 ... \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 11214.199924 ... \n\n 11.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 1104.964260 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 2122.939566 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 929.709634 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2263.354499 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 1217.639745 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 3163.314795 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 2164.682111 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 1406.535741 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 1737.062475 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 1333.393782 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 528.902945 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 4213.263493 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 4079.358745 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 1332.521919 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 2190.526606 \n2023-07-03_20-27-25_bf03_k5ivDLC_resnet101_DevR... 4401.776608 \n2023-07-08_16-19-27_bm02_k5ivDLC_resnet101_DevR... 2511.241484 \n2023-07-14_16-25-47_bf01_k5ivDLC_resnet101_DevR... 4284.413765 \n2023-07-18_19-35-14_bm03_k5ivDLC_resnet101_DevR... 1920.523942 \n2023-05-15_16-47-52_bf03_k10ivDLC_resnet101_Dev... 9880.460142 \n2023-05-15_18-18-22_bf04_k10ivDLC_resnet101_Dev... 7703.680453 \n2023-05-25_14-30-54_bm02_k10ivDLC_resnet101_Dev... 13852.193039 \n2023-05-31_17-08-06_bf01_k10ivDLC_resnet101_Dev... 11787.589473 \n2023-07-13_15-45-26_bm03_k10ivDLC_resnet101_Dev... 8377.923276 \n2023-07-14_13-56-09_bm01_k10ivDLC_resnet101_Dev... 13742.433401 \n2023-07-18_18-19-50_bm04_k10ivDLC_resnet101_Dev... 15963.185520 \n\n 12.0 \\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 1500.049482 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 2672.667907 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 910.307825 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 2712.941823 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 1699.270851 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 1602.690430 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 2000.644887 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 1084.069936 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 2822.933304 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 2728.749019 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 550.459444 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\\\n2023-06-15_21-28-12_bf04_salivDLC_resnet101_Dev... 3898.298124 \n2023-06-15_22-01-50_bf03_salivDLC_resnet101_Dev... 4010.858900 \n2023-06-20_15-41-01_bm03_salivDLC_resnet101_Dev... 925.516701 \n2023-06-20_16-13-48_bm04_salivDLC_resnet101_Dev... 1787.785253 \n2023-06-20_17-21-51_bf02_salivDLC_resnet101_Dev... 1403.652257 \n2023-07-03_16-15-21_bm02_salivDLC_resnet101_Dev... 1330.173334 \n2023-07-03_19-20-49_bf01_salivDLC_resnet101_Dev... 1889.692155 \n2023-06-20_19-10-38_bf04_k1ivDLC_resnet101_DevR... 1088.998064 \n2023-06-26_15-35-45_bf01_k1ivDLC_resnet101_DevR... 2976.058980 \n2023-06-26_19-00-05_bm02_k1ivDLC_resnet101_DevR... 1169.581962 \n2023-06-27_10-47-10_bm04_k1ivDLC_resnet101_DevR... 640.761410 \n2023-07-08_14-42-24_bf02_k1ivDLC_resnet101_DevR... 5637.361996 \n2023-07-08_15-47-29_bm01_k1ivDLC_resnet101_DevR... 1021.318289 \n2023-06-15_17-16-18_bm01_k5ivDLC_resnet101_DevR... 1572.111102 \n2023-06-26_16-15-58_bf02_k5ivDLC_resnet101_DevR... 1633.545223 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kp_travel = analyze.get_keypoint_travel(config,\n", " \"tailbase\",\n", " 0,1200,\n", " selected_subgroups=[\"sal\",\"k1\",\"k5\",\"k10\"],\n", " return_as_df=False)\n", "\n", "kp_travel_df = kp_travel.to_df()\n", "display(kp_travel_df)\n", "plot.plot_keypoint_travel(kp_travel,cmap=\"viridis_r\",plottype=\"bar\")\n", "\n", "kp_travel = analyze.get_keypoint_travel(config,\n", " \"tailbase\",\n", " 0,1200,\n", " binsize=60,\n", " selected_subgroups=[\"sal\",\"k1\",\"k5\",\"k10\"],\n", " return_as_df=False)\n", "\n", "kp_travel_df = kp_travel.to_df()\n", "display(kp_travel_df)\n", "plot.plot_keypoint_travel(kp_travel,cmap=\"viridis_r\")" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:43.920373Z", "start_time": "2025-09-18T23:56:19.247011Z" } }, "id": "878d690f8fceab5c", "execution_count": 4 }, { "cell_type": "markdown", "source": [ "## 7.2 Using keypoint travel in animals for embedding and classification\n", "The KeypointTravel class has many of the same attributes and use cases as pose segmentation data object classes (ModuleUsage and ModuleTransitions), and thus we can use the same embedding, classification, and regression functions as we do for pose segmentation data. \n", "It is worth noting that travel of a single keypoint only has sufficient dimensionality for some methods (e.g., PCA) if time binning is applied, otherwise it is a point value rather than a time series.\n", "We can start by looking at embedding the data with PCA or LDA." ], "metadata": { "collapsed": false }, "id": "9604d04566227e98" }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ellipse only drawn for embeddings_object of class LDA, not \n" ] }, { "data": { "text/plain": "
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" }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca_emb = analyze.embed(kp_travel,method=\"pca\")\n", "plot.plot_embeddings(kp_travel,pca_emb)\n", "lda_emb = analyze.embed(kp_travel,method=\"lda\")\n", "plot.plot_embeddings(kp_travel,lda_emb)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:44.656188Z", "start_time": "2025-09-18T23:56:43.925102Z" } }, "id": "1241461fdb9457a7", "execution_count": 5 }, { "cell_type": "markdown", "source": [ "Next, we can look at classification with logistic regression - here shown with training a classifier on the full dataset and leave-one-out cross-validation to test performance on a subset of samples." ], "metadata": { "collapsed": false }, "id": "4e86eebe24bcb3c2" }, { "cell_type": "code", "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n", "/opt/anaconda3/envs/mariposa/lib/python3.8/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):\n", "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", "\n", "Increase the number of iterations (max_iter) or scale the data as shown in:\n", " https://scikit-learn.org/stable/modules/preprocessing.html\n", "Please also refer to the documentation for alternative solver options:\n", " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", " n_iter_i = _check_optimize_result(\n" ] }, { "data": { "text/plain": "" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf = analyze.classify(kp_travel,method=\"LogisticRegression\")\n", "accuracy, conf_mat = analyze.loocv(kp_travel,method=\"LogisticRegression\")\n", "plt.figure(figsize=(3,3),dpi=300)\n", "plt.imshow(conf_mat,cmap=\"Greens\")\n", "plt.xticks([0,1,2,3],labels=kp_travel.group_dict.keys())\n", "plt.yticks([0,1,2,3],labels=kp_travel.group_dict.keys())\n", "plt.title(\"Confusion Matrix\")\n", "plt.colorbar()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:45.184450Z", "start_time": "2025-09-18T23:56:44.658371Z" } }, "id": "ecc09f8aad8a562d", "execution_count": 6 }, { "cell_type": "markdown", "source": [ "And now we can take a look at using regression on a KeypointTravel class object." ], "metadata": { "collapsed": false }, "id": "75c9865f6f639df" }, { "cell_type": "code", "outputs": [ { "data": { "text/plain": "Text(0, 0.5, 'Predicted dose (mg/kg)')" }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Training regression model and doing LOOCV\n", "dose_dict={\"sal\":0,\"k1\":1,\"k5\":5,\"k10\":10}\n", "reg, dose_labels = analyze.regress(kp_travel,dose_dict)\n", "y_preds, sq_err = analyze.loocv_regression(kp_travel,dose_dict)\n", "\n", "# Plotting results for held-out samples\n", "plt.figure(figsize=(3,3),dpi=300)\n", "cmap = \"viridis_r\"\n", "cmap = plt.get_cmap(cmap)\n", "colors = [cmap([i/4]) for i in range(4)]\n", "for d,dose in enumerate(dose_dict.keys()):\n", " x = dose_dict[dose]\n", " mask = np.array(kp_travel.group_labels)==kp_travel.group_dict[dose]\n", " m = np.mean(y_preds[mask])\n", " sd = np.std(y_preds[mask])\n", " plt.errorbar(x,m,yerr=sd,linestyle=\"none\",marker=\"o\",color=colors[d],capsize=2)\n", "plt.xlabel(\"Real dose (mg/kg)\")\n", "plt.ylabel(\"Predicted dose (mg/kg)\")" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:56:45.342475Z", "start_time": "2025-09-18T23:56:45.180233Z" } }, "id": "6bd03c5374384614", "execution_count": 7 }, { "cell_type": "markdown", "source": [ "## 7.3: Measuring and using ego-centered kinematics from pose estimation data\n", "Travel of a single keypoint of interest can be useful for measuring overall movement of the animal or limb, depending on the experimental setup; however, additional insight can be gained by ego-centering the data (i.e., using two keypoints to establish the origin and axis along which to reorient all points to) and evaluating the angle, location, and movement of keypoints relative to the new orientation. Ego-centering is acheived in MARIPoSA with analyze.ego_center(), which may be useful to know if you want to save the ego-centered data for some reason. Below is the documentation for analyze.ego_center and a movie plotting the original and ego-centered data." ], "metadata": { "collapsed": false }, "id": "73eac4fba95990e0" }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function ego_center in module utils.analyze:\n", "\n", "ego_center(config, data, keypoint_ego1, keypoint_ego2)\n", " Ego centering a single pose estimation dataframe\n", " \n", " :param config: config\n", " :param data: pose estimation pandas dataframe in DLC format\n", " :param keypoint_ego1: first keypoint to use for establishing egocentric alignment axis\n", " :param keypoint_ego2: second keypoint to use for establishing egocentric alignment axis\n", " :return: ego_centered pandas dataframe\n" ] } ], "source": [ "help(analyze.ego_center)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-19T19:24:11.973100Z", "start_time": "2025-09-19T19:24:11.926128Z" } }, "id": "11935d7ab1911bea", "execution_count": 20 }, { "cell_type": "code", "outputs": [ { "data": { "text/plain": "", "text/html": "\n\n\n\n\n\n
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = pd.read_csv(config[\"data_directory\"]+config[\"project_files\"][0],header=[1,2])\n", "data_reoriented = analyze.ego_center(config, data, \"tailbase\", \"nose\")\n", "\n", "fig, ax = plt.subplots(figsize=(5, 5))\n", "\n", "def update(fr):\n", " ax.clear()\n", " x = data.xs(\"x\", level=1, axis=1).loc[fr]\n", " y = data.xs(\"y\", level=1, axis=1).loc[fr]\n", " x_ego = data_reoriented.xs(\"x\", level=1, axis=1).loc[fr]\n", " y_ego = data_reoriented.xs(\"y\", level=1, axis=1).loc[fr]\n", " \n", " ax.scatter(x, y, color=\"gray\", s=4, label=\"Original\")\n", " ax.scatter(x_ego, y_ego, color=\"C0\", s=4, label=\"Ego-centered\")\n", " ax.set_xlim([-200, 1080])\n", " ax.set_ylim([-200, 1080])\n", " ax.set_title(f\"Frame {fr}\")\n", " ax.legend(loc=\"upper right\")\n", "\n", "nframes=300\n", "ani = FuncAnimation(fig, update, frames=nframes, interval=50)\n", "HTML(ani.to_jshtml())" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:57:10.829868Z", "start_time": "2025-09-18T23:56:45.345318Z" } }, "id": "5dab3a29016e79d4", "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Ego-centering is incorporated into the function analyze.get_keypoint_kinematics, which can get the angle, distance, or travel/movement of keypoints relative to the ego-center." ], "metadata": { "collapsed": false }, "id": "c9fc9c73d06f866d" }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function get_keypoint_kinematics in module utils.analyze:\n", "\n", "get_keypoint_kinematics(PE_config, keypoint_ego1, keypoint_ego2, start, end, binsize=None, metric='angle', thresh=70, selected_subgroups='all', return_as_df=True, verbose=False)\n", " Measure keypoint kinematics (egocentrically aligned angle, distance, and travel of keypoints) across group of subjects\n", " \n", " :param PE_config: pose estimation config - used for FPS only\n", " :param keypoint1: first keypoint to use for establishing egocentric alignment axis\n", " :param keypoint2: second keypoint to use for establishing egocentric alignment axis\n", " :param start: start time in seconds\n", " :param end: end time in seconds\n", " :param binsize: if binned output is desired, size of timebins (default is None for no binning)\n", " :param metric: metric to assess for all non-keypoint1/2 keypoints; options are \"angle_m\" (for mean angle), \"angle_sd\" (for std deviation of angle), \"distance_m\" (for mean distance of keypoints to ego-center), \"distance_sd\" (for std deviation of distance of keypoints to ego-center), or \"travel\" (for movement of keypoints relative to ego-center)\n", " :param thresh: threshold for when distance 'jump' is too large and should be excluded; default 70\n", " :param selected_subgroups: subgroups to analyze as defined in config; default \"all\"\n", " :param return_as_df: return as a dataframe or return as KeypointTravel class (for embedding, classification)\n", " :return:\n" ] } ], "source": [ "help(analyze.get_keypoint_kinematics)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:57:10.832118Z", "start_time": "2025-09-18T23:57:10.718475Z" } }, "id": "1d779105513674df", "execution_count": 10 }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.23076923076923078\n" ] }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the kinematic data - travel of keypoints relative to egocentric axis\n", "travel_kin = analyze.get_keypoint_kinematics(config,\n", " \"tailbase\",\n", " \"nose\",\n", " 0, 1200,\n", " metric='travel',\n", " selected_subgroups=['sal', 'k1', 'k5', 'k10'],\n", " return_as_df=False)\n", "\n", "# plot the ego-centered travel data\n", "plot.plot_keypoint_kinematics(config,travel_kin, figH=5,figW=8,style=\"bar_error\",cmap=\"viridis_r\")\n", "plt.title(\"Ego-centered Keypoint Travel\")\n", "\n", "# use the data for embedding and classification\n", "emb = analyze.embed(travel_kin)\n", "plot.plot_embeddings(travel_kin,emb)\n", "plt.title(\"LDA of Ego-centered Keypoint Travel\")\n", "plt.figure(figsize=(2.5,2.5),dpi=300)\n", "plt.title(\"Ego-centered Keypoint Travel\\nConfusion Matrix\")\n", "acc, cm = analyze.loocv(travel_kin)\n", "plt.imshow(cm,cmap=\"Greens\")\n", "ticklabels=['sal','k1','k5','k10']\n", "plt.xticks(range(len(ticklabels)),labels=ticklabels,rotation=90)\n", "plt.yticks(range(len(ticklabels)),labels=ticklabels)\n", "print(f\"Accuracy: {acc}\")" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:57:30.969760Z", "start_time": "2025-09-18T23:57:10.729668Z" } }, "id": "19d8c5c6fff45049", "execution_count": 11 }, { "cell_type": "code", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.2692307692307692\n" ] }, { "data": { "text/plain": "
", "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the kinematic data - angle of keypoints relative to egocentric axis\n", "angle_kin = analyze.get_keypoint_kinematics(config,\n", " \"tailbase\",\n", " \"nose\",\n", " 0, 1200,\n", " metric='angle_sd',\n", " selected_subgroups=['sal', 'k1', 'k5', 'k10'],\n", " return_as_df=False)\n", "\n", "# plot the kinematic data\n", "plot.plot_keypoint_kinematics(config,angle_kin, figH=5,figW=8,style=\"bar_error\",cmap=\"viridis_r\")\n", "plt.title(\"Ego-centered Keypoint Angle\")\n", "\n", "# use the data for embedding and classification\n", "emb = analyze.embed(angle_kin)\n", "plot.plot_embeddings(angle_kin,emb)\n", "plt.title(\"LDA of Ego-centered Keypoint Angle\")\n", "plt.figure(figsize=(2.5,2.5),dpi=300)\n", "plt.title(\"Ego-centered Keypoint Angle\\nConfusion Matrix\")\n", "acc, cm = analyze.loocv(angle_kin)\n", "plt.imshow(cm,cmap=\"Greens\")\n", "ticklabels=['sal','k1','k5','k10']\n", "plt.xticks(range(len(ticklabels)),labels=ticklabels,rotation=90)\n", "plt.yticks(range(len(ticklabels)),labels=ticklabels)\n", "print(f\"Accuracy: {acc}\")" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-19T00:05:09.912823Z", "start_time": "2025-09-19T00:04:57.543523Z" } }, "id": "1d9335faf8a97b01", "execution_count": 19 }, { "cell_type": "code", "outputs": [], "source": [], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:57:43.522465Z", "start_time": "2025-09-18T23:57:43.513095Z" } }, "id": "c7f0d0cc8708b6f4", "execution_count": 12 }, { "cell_type": "code", "outputs": [], "source": [], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-09-18T23:57:43.523712Z", "start_time": "2025-09-18T23:57:43.518212Z" } }, "id": "ab755a93d8822d6b", "execution_count": 12 }, { "cell_type": "code", "outputs": [], "source": [], "metadata": { "collapsed": false }, "id": "9484df72e2a5ce39" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }