{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows the difference between identifying $\\mathbf{m}^*(\\varphi)$ and $\\mathbf{K}(\\varphi)$ as opposed to identifying $\\mathbf{m}^*(\\varphi)$ alone from this control structure:\n", "\n", "$$\\mathbf{m}(t) = \\mathbf{m}^*(\\varphi) - \\mathbf{K}(\\varphi)\\mathbf{s}(t)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import sys\n", "sys.path.append('../src')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import pandas\n", "from gaitanalysis.controlid import SimpleControlSolver" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import utils\n", "from gait_landmark_settings import settings" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.core.pylabtools import figsize\n", "figsize(10, 8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load and Process Data for 1 Trial" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "trials_dir = utils.config_paths()['raw_data_dir']" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "trial_number = '068'" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "trial = utils.Trial('068')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading pre-cleaned data: /home/moorepants/Manuscripts/gait-control-direct-id-paper/processed-data/cleaned-data/068-longitudinal-perturbation.h5\n", "_write_event_data_frame_to_disk took 1.70 s to execute.\n", "Loading pre-computed inverse dynamics from /home/moorepants/Manuscripts/gait-control-direct-id-paper/processed-data/gait-data/068-longitudinal-perturbation.h5.\n", "_write_inverse_dynamics_to_disk took 0.58 s to execute.\n", "Loading pre-computed gait cycles from /home/moorepants/Manuscripts/gait-control-direct-id-paper/processed-data/gait-data/068-longitudinal-perturbation.h5.\n", "_section_into_gait_cycles took 0.08 s to execute.\n" ] } ], "source": [ "trial.prep_data('Longitudinal Perturbation')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gait_data = trial.gait_data_objs['Longitudinal Perturbation']\n", "gait_cycles = gait_data.gait_cycles" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "num_cycles = gait_cycles.shape[0]\n", "solver = SimpleControlSolver(gait_cycles.iloc[:num_cycles * 3 / 4],\n", " trial.sensors,\n", " trial.controls,\n", " validation_data=gait_cycles.iloc[num_cycles * 3 / 4:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Identification only $\\mathbf{m}^*(t)$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gain_inclusion_matrix = np.zeros((len(trial.controls), len(trial.sensors))).astype(bool)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "result = solver.solve(gain_inclusion_matrix=gain_inclusion_matrix)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "no_control_vafs = utils.variance_accounted_for(result[-1], solver.validation_data, trial.controls)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating validation plot.\n", "0.58 s\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI7CAYAAADxrW3BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYFdW19n+LSWVuBplnaQbjiChGgQYURRIcA4rzlMHk\n", "Jje5xpjvakJMjJoYY5KriWhUNGrUqDhcNSKXBo0TiqhRERwYFQWZ525Y3x+7qrv6dNU5dZrauxq6\n", "3ufpp885VeesVbt2rf3utddeS1SVDBkyZMiQIUOGDBkyGDRKW4EMGTJkyJAhQ4YMGeoTMoKcIUOG\n", "DBkyZMiQIUMAGUHOkCFDhgwZMmTIkCGAjCBnyJAhQ4YMGTJkyBBARpAzZMiQIUOGDBkyZAggI8gZ\n", "MmTIkCFDhgwZMgSQEeQMDQYi8mcRuSrmuXeLyC9t65QhQ4YMextE5FQRWSYiG0Xk0LT1yZChLsgI\n", "coa9BiKyWES2eEZ5pYjcKyKt/eOq+h1V/VXMn1PvL0rWLhHpm+f4BSLyQnztM2TIkKF+wbOpY+rw\n", "1RuBy1S1FbDOs5eRfENEpojIvXVWNEMGC8gIcoa9CQp8zTPKhwAHAbE8xnWEWPztDBkyZEgbeR0F\n", 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row in enumerate(gain_inclusion_matrix):\n", " row[2 * i:2 * i + 2] = True" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "result = solver.solve(gain_inclusion_matrix=gain_inclusion_matrix)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "joint_isolated_control_vafs = utils.variance_accounted_for(result[-1],\n", " solver.validation_data,\n", " trial.controls)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating validation plot.\n", "0.55 s\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI7CAYAAADxrW3BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYHMW19n9HOe+ucs5aBbDACiCCIjmKHGQZG4zjxXy+\n", "DoCvwejaJtjGvlxjHAQGhG2wwRbxgi2BtQgQQQIjEy0RJBSQUA4orvZ8f1T37uxsT0/Pblf1aLff\n", 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This is due to a speed bottleneck in `dtk.process.least_squares_variance`." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "result = solver.solve(ignore_cov=True)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "full_control_vafs = utils.variance_accounted_for(result[-1],\n", " solver.validation_data,\n", " trial.controls)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating validation plot.\n", "0.56 s\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI7CAYAAADxrW3BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYFdW19n+rmedu5nmmQVQgKIoDs6KCikYF007RGOOX\n", "5Jp8Ga76RSM3cY7X5JoYr6gY1GjiBGiiRkRAE0TBAY2ICCogiALNPDfs749d1V19uqpOne7auw7d\n", 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no_control_vafs.copy()\n", "for k, v in vafs.items():\n", " vafs[k] = [v, joint_isolated_control_vafs[k], full_control_vafs[k]]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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No ControlJoint Isolated ControlFull Control
Left.Ankle.PlantarFlexion.Moment0.9301550.9659690.974489
Left.Hip.Flexion.Moment0.9300700.9422400.968361
Left.Knee.Flexion.Moment0.8414710.8885600.935461
Right.Ankle.PlantarFlexion.Moment0.9437450.9717170.979205
Right.Hip.Flexion.Moment0.9657630.9737590.984328
Right.Knee.Flexion.Moment0.8104390.8549080.901859
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" ], "text/plain": [ " No Control Joint Isolated Control \\\n", "Left.Ankle.PlantarFlexion.Moment 0.930155 0.965969 \n", "Left.Hip.Flexion.Moment 0.930070 0.942240 \n", "Left.Knee.Flexion.Moment 0.841471 0.888560 \n", "Right.Ankle.PlantarFlexion.Moment 0.943745 0.971717 \n", "Right.Hip.Flexion.Moment 0.965763 0.973759 \n", "Right.Knee.Flexion.Moment 0.810439 0.854908 \n", "\n", " Full Control \n", "Left.Ankle.PlantarFlexion.Moment 0.974489 \n", "Left.Hip.Flexion.Moment 0.968361 \n", "Left.Knee.Flexion.Moment 0.935461 \n", "Right.Ankle.PlantarFlexion.Moment 0.979205 \n", "Right.Hip.Flexion.Moment 0.984328 \n", "Right.Knee.Flexion.Moment 0.901859 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vaf_df = pandas.DataFrame(vafs, index=['No Control', 'Joint Isolated Control', 'Full Control'])\n", "vaf_df.T" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "No Control 0.903607\n", "Joint Isolated Control 0.932859\n", "Full Control 0.957284\n", "dtype: float64" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_vaf = vaf_df.mean(axis=1)\n", "mean_vaf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The joint isolated gain matrix structure helps the base model account for ~3% more of the data. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.9251732143615761" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "100.0 * (mean_vaf.iloc[1] - mean_vaf.iloc[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So the full gain matrix helps the base model account for ~6% more of the data." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5.3676526890910186" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "100.0 * (mean_vaf.iloc[2] - mean_vaf.iloc[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Footer" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6af0c229bb0a9edf78f8489d5f0efe02d5685a57\r\n" ] } ], "source": [ "!git rev-parse HEAD" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9e80dfdcfe0a14b44e0ebcbadb6e9e827d215c3c\r\n" ] } ], "source": [ "!git --git-dir=/home/moorepants/src/GaitAnalysisToolKit/.git --work-tree=/home/moorepants/src/GaitAnalysisToolKit rev-parse HEAD" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Installed version_information.py. To use it, type:\n", " %load_ext version_information\n" ] } ], "source": [ "%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%load_ext version_information" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]" }, { "module": "IPython", "version": "3.0.0" }, { "module": "OS", "version": "Linux 3.13.0 49 generic x86_64 with debian jessie sid" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.15.1" }, { "module": "pandas", "version": "0.16.0" }, { "module": "matplotlib", "version": "1.4.2" }, { "module": "tables", "version": "3.1.1" }, { "module": "oct2py", "version": "3.1.0" }, { "module": "dtk", "version": "0.4.0" }, { "module": "gaitanalysis", "version": "0.2.0dev" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]
IPython3.0.0
OSLinux 3.13.0 49 generic x86_64 with debian jessie sid
numpy1.9.2
scipy0.15.1
pandas0.16.0
matplotlib1.4.2
tables3.1.1
oct2py3.1.0
dtk0.4.0
gaitanalysis0.2.0dev
Fri Apr 24 11:41:39 2015 PDT
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)] \\\\ \\hline\n", "IPython & 3.0.0 \\\\ \\hline\n", "OS & Linux 3.13.0 49 generic x86\\_64 with debian jessie sid \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.15.1 \\\\ \\hline\n", "pandas & 0.16.0 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "tables & 3.1.1 \\\\ \\hline\n", "oct2py & 3.1.0 \\\\ \\hline\n", "dtk & 0.4.0 \\\\ \\hline\n", "gaitanalysis & 0.2.0dev \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Fri Apr 24 11:41:39 2015 PDT} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n", "IPython 3.0.0\n", "OS Linux 3.13.0 49 generic x86_64 with debian jessie sid\n", "numpy 1.9.2\n", "scipy 0.15.1\n", "pandas 0.16.0\n", "matplotlib 1.4.2\n", "tables 3.1.1\n", "oct2py 3.1.0\n", "dtk 0.4.0\n", "gaitanalysis 0.2.0dev\n", "Fri Apr 24 11:41:39 2015 PDT" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%version_information numpy, scipy, pandas, matplotlib, tables, oct2py, dtk, gaitanalysis" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# packages in environment at /home/moorepants/anaconda/envs/gait-direct-id-paper:\n", "#\n", "backports.ssl-match-hostname 3.4.0.2 \n", "cairo 1.12.18 0 \n", "dateutil 2.4.1 py27_0 \n", "dynamicisttoolkit 0.4.0 py27_0 \n", "fastcache 1.0.2 py27_0 \n", "fontconfig 2.11.1 2 \n", "freetype 2.4.10 0 \n", "gaitanalysistoolkit (/home/moorepants/src/GaitAnalysisToolKit) 0.2.0.dev0 \n", "hdf5 1.8.14 0 \n", "ipython 3.0.0 py27_0 \n", "ipython-notebook 3.0.0 py27_1 \n", "jinja2 2.7.3 py27_1 \n", "jsonschema 2.4.0 py27_0 \n", "libpng 1.5.13 1 \n", "libsodium 0.4.5 0 \n", "libxml2 2.9.0 0 \n", "markupsafe 0.23 py27_0 \n", "matplotlib 1.4.2 np19py27_0 \n", "mistune 0.5.1 py27_0 \n", "nose 1.3.4 py27_1 \n", "numexpr 2.3.1 np19py27_0 \n", "numpy 1.9.2 py27_0 \n", "oct2py 3.1.0 py27_0 \n", "openssl 1.0.1k 1 \n", "pandas 0.16.0 np19py27_1 \n", "pip 6.1.1 py27_0 \n", "pixman 0.26.2 0 \n", "ptyprocess 0.4 py27_0 \n", "py2cairo 1.10.0 py27_2 \n", "pygments 2.0.2 py27_0 \n", "pyparsing 2.0.1 py27_0 \n", "pyqt 4.10.4 py27_0 \n", "pyside 1.2.1 py27_1 \n", "pytables 3.1.1 np19py27_2 \n", "python 2.7.9 2 \n", "python-dateutil 2.4.2 py27_0 \n", "pytz 2015.2 py27_0 \n", "pyyaml 3.11 py27_0 \n", "pyzmq 14.5.0 py27_0 \n", "qt 4.8.5 0 \n", "readline 6.2 2 \n", "scipy 0.15.1 np19py27_0 \n", "seaborn 0.5.1 np19py27_0 \n", "setuptools 15.0 py27_0 \n", "shiboken 1.2.1 py27_0 \n", "sip 4.15.5 py27_0 \n", "six 1.9.0 py27_0 \n", "snakeviz 0.3.1 \n", "sqlite 3.8.4.1 1 \n", "ssl_match_hostname 3.4.0.2 py27_0 \n", "sympy 0.7.6 py27_0 \n", "system 5.8 2 \n", "tables 3.1.1 \n", "terminado 0.5 py27_0 \n", "tk 8.5.18 0 \n", "tornado 4.1 py27_0 \n", "yaml 0.1.4 0 \n", "zeromq 4.0.4 0 \n", "zlib 1.2.8 0 \n" ] } ], "source": [ "!conda list" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "backports.ssl-match-hostname==3.4.0.2\r\n", "DynamicistToolKit==0.4.0\r\n", "fastcache==1.0.2\r\n", "-e git+git@github.com:csu-hmc/GaitAnalysisToolKit.git@9e80dfdcfe0a14b44e0ebcbadb6e9e827d215c3c#egg=GaitAnalysisToolKit-origin_speedup-inverse-dynamics\r\n", "ipython==3.0.0\r\n", "Jinja2==2.7.3\r\n", "jsonschema==2.4.0\r\n", "MarkupSafe==0.23\r\n", "matplotlib==1.4.2\r\n", "mistune==0.5.1\r\n", "nose==1.3.4\r\n", "numexpr==2.3.1\r\n", "numpy==1.9.2\r\n", "oct2py==3.1.0\r\n", "pandas==0.16.0\r\n", "ptyprocess==0.4\r\n", "Pygments==2.0.2\r\n", "pyparsing==2.0.1\r\n", "PySide==1.2.1\r\n", "python-dateutil==2.4.2\r\n", "pytz==2015.2\r\n", "PyYAML==3.11\r\n", "pyzmq==14.5.0\r\n", "scipy==0.15.1\r\n", "seaborn==0.5.1\r\n", "six==1.9.0\r\n", "snakeviz==0.3.1\r\n", "sympy==0.7.6\r\n", "tables==3.1.1\r\n", "terminado==0.5\r\n", "tornado==4.1\r\n" ] } ], "source": [ "!pip freeze" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }