From f51d8d22b21432f93600f6d14d1ba7057d23f681 Mon Sep 17 00:00:00 2001 From: apple Date: Tue, 9 Jul 2019 00:14:56 +0900 Subject: [PATCH] (add) tutorial --- docs/img/imgs.ipynb | 273 ------------------------ docs/img/tutorial/itakura.png | Bin 0 -> 23463 bytes docs/img/tutorial/local-constrained.png | Bin 0 -> 23958 bytes docs/img/tutorial/open_begin.png | Bin 0 -> 31415 bytes docs/img/tutorial/open_begin_end.png | Bin 0 -> 31873 bytes docs/img/tutorial/open_end.png | Bin 0 -> 28689 bytes docs/img/tutorial/sakoechiba.png | Bin 0 -> 23828 bytes docs/img/tutorial/toy_data_partial.png | Bin 0 -> 28852 bytes docs/img/tutorial/user_path.png | Bin 0 -> 31348 bytes docs/img/tutorial/user_step.png | Bin 0 -> 10004 bytes docs/img/tutorial/user_window.png | Bin 0 -> 10074 bytes docs/index.rst | 7 + docs/tutorial.rst | 236 +++++++++++++++++--- 13 files changed, 211 insertions(+), 305 deletions(-) delete mode 100644 docs/img/imgs.ipynb create mode 100644 docs/img/tutorial/itakura.png create mode 100644 docs/img/tutorial/local-constrained.png create mode 100644 docs/img/tutorial/open_begin.png create mode 100644 docs/img/tutorial/open_begin_end.png create mode 100644 docs/img/tutorial/open_end.png create mode 100644 docs/img/tutorial/sakoechiba.png create mode 100644 docs/img/tutorial/toy_data_partial.png create mode 100644 docs/img/tutorial/user_path.png create mode 100644 docs/img/tutorial/user_step.png create mode 100644 docs/img/tutorial/user_window.png diff --git a/docs/img/imgs.ipynb b/docs/img/imgs.ipynb deleted file mode 100644 index 31d62b0..0000000 --- a/docs/img/imgs.ipynb +++ /dev/null @@ -1,273 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from dtwalign import dtw" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "np.random.seed(1234)\n", - "# test data\n", - "x = np.sin(2*np.pi*3.1*np.linspace(0,1,101))\n", - "x += np.random.rand(x.size)\n", - "y = np.sin(2*np.pi*3*np.linspace(0,1,120))\n", - "y += np.random.rand(y.size)" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(-1, 3)" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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HWKDTBXvd4uLIFrmhlD1PWZnyh1COkDMQh4mEHgNAuuZsczOrOgICziDWlRVB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\nMoA5Maivn38tKCuguhoGBuDf/m3u2FVr1/Fw2sO+72BF3gpfOq+UMjI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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# test data\n", - "x_partial = np.sin(2*np.pi*3*np.linspace(0.3,0.8,100))\n", - "x_partial += np.random.rand(x_partial.size)\n", - "y_partial = np.sin(2*np.pi*3.1*np.linspace(0,1,120))\n", - "y_partial += np.random.rand(y_partial.size)\n", - "\n", - "plt.plot(x_partial,label=\"query\")\n", - "plt.plot(y_partial,label=\"reference\")\n", - "plt.legend()\n", - "plt.ylim(-1,3)\n", - "\n", - "# f,ax = plt.subplots(2,figsize=(7,5),sharex=True)\n", - "# ax[0].plot(x_partial)\n", - "# ax[0].set_title(\"time series X\")\n", - "# ax[0].grid()\n", - "# ax[1].plot(y_partial,\"r\")\n", - "# ax[1].set_title(\"time series Y\")\n", - "# ax[1].grid()" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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p0WGc765coCvR4f0+d2IgkTI6Qo1aP8GWwWD5XDxvsZpn2yu7O4dZL/z+qp0Y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pKEIw62cgeyyDyWaWNFmaKNAWcEHBBQgEmZpMYmNiAYiLiSMxNhHboM3vPa1W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\n3EQwHTcIjgeZVJOUFZfFxSCd28dMP03FdBWlYyA0oMUgB9h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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "res = dtw(x_partial,y_partial,step_pattern=\"asymmetric\",open_begin=True,open_end=True)\n", - "res.plot_path()\n", - "\n", - "yp = res.path[:,1]\n", - "p = res.get_warping_path(target=\"query\")\n", - "plt.plot(np.arange(yp[0],yp[-1]+1),x_partial[p],label=\"alined query to reference\")\n", - "plt.plot(y_partial,label=\"reference\")\n", - "plt.legend()\n", - "plt.ylim(-1,3)\n", - "\n", - "# f,ax = plt.subplots(2,figsize=(7,5),sharex=True)\n", - "# ax[0].plot(np.arange(yp[0],yp[-1]+1),x_partial[p])\n", - "# ax[0].set_title(\"aligned time series X\")\n", - "# ax[0].grid()\n", - "# ax[1].plot(y_partial,\"r\")\n", - "# ax[1].set_title(\"time series Y\")\n", - "# ax[1].grid()" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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efPFFOnbsGHZJIlUqw2PWrFkMGzYs7HJCk+6TKf4V+G9iu/VWVE5399XJLDCd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\n+4FtwMKI9me9dUakPzsAS4IaFgGfi0p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OnRvLykM1WPURln1VbD6ff/75WFYeqsGqj7Dsq2LzOWPGjFhWHqqlVx+qZl+1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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from dtwalign.step_pattern import *\n", - "Symmetric2().plot()\n", - "\n", - "AsymmetricP2().plot()\n", - "TypeIVc().plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from dtwalign.window import *" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "metadata": { - "collapsed": false, - "scrolled": false - }, - "outputs": [ - { - "data": { - "image/png": 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z4U$B&&z>-G35w1o%HW>J>htY#-fEtl@4}_q_bur0x1`+lCZuBrC-$q7{OXjm)kf0< zlca|1MJ}nGgH!I4uam47zHXP=On!|nU^?sGAHcf-tWzzK=woA1kM`rhY_$KM+1z5> m@AVFHz#RYoyZhq+@}Jpdr+2w`LeufFE-;C}&maL>B{ literal 0 HcmV?d00001 diff --git a/docs/index.rst b/docs/index.rst index e277aef..971cbb8 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -24,6 +24,13 @@ Installation tutorial api +.. _references:: +========= +Reference +========= +* Sakoe, H.; Chiba, S., Dynamic programming algorithm optimization for spoken word recognition, Acoustics, Speech, and Signal Processing +* Paolo Tormene, Toni Giorgino, Silvana Quaglini, Mario Stefanelli (2008). Matching Incomplete Time Series with Dynamic Time Warping: An Algorithm and an Application to Post-Stroke Rehabilitation. Artificial Intelligence in Medicine, 45(1), 11-34. +* Toni Giorgino (2009). Computing and Visualizing Dynamic Time Warping Alignments in R: The dtw Package. Journal of Statistical Software, 31(7), 1-24. ================== Indices and tables diff --git a/docs/tutorial.rst b/docs/tutorial.rst index 064ad81..bee656a 100644 --- a/docs/tutorial.rst +++ b/docs/tutorial.rst @@ -14,15 +14,15 @@ Firstly, let's generate toy data for this tutorial. np.random.seed(1234) # generate toy data - x = np.sin(2*np.pi*3.1*np.linspace(0,1,101)) + x = np.sin(2 * np.pi * 3.1 * np.linspace(0, 1, 101)) x += np.random.rand(x.size) - y = np.sin(2*np.pi*3*np.linspace(0,1,120)) + y = np.sin(2 * np.pi * 3 * np.linspace(0, 1, 120)) y += np.random.rand(y.size) - plt.plot(x,label="query") - plt.plot(y,label="reference") + plt.plot(x, label="query") + plt.plot(y, label="reference") plt.legend() - plt.ylim(-1,3) + plt.ylim(-1, 3) .. image:: img/tutorial/toy_data.png @@ -31,15 +31,15 @@ Then run dtw method which returns DtwResult object. .. code-block:: python from dtwalign import dtw - res = dtw(x,y) + res = dtw(x, y) .. note:: The first run takes a few seconds for jit compilation. -dtw distance +DTW distance ------------ -dtw distance can be refered via DtwResult object. +DTW distance can be refered via DtwResult object. .. code-block:: python @@ -52,7 +52,7 @@ dtw distance can be refered via DtwResult object. If you want to calculate only dtw distance (i.e. no need to gain alignment path), give 'distance_only' argument as True when runs `dtw` method (it makes faster). -alignment path +Alignment path -------------- DtwResult object offers a method which visualize alignment path with cumsum cost matrix. @@ -67,10 +67,10 @@ Alignment path array also provided: .. code-block:: python - x_path = res.path[:,0] - y_path = res.path[:,1] + x_path = res.path[:, 0] + y_path = res.path[:, 1] -warp one to the other +Warp one to the other --------------------- `get_warping_path` method provides an alignment path of X with fixed Y and vice versa. @@ -79,10 +79,10 @@ warp one to the other # warp x to y x_warping_path = res.get_warping_path(target="query") - plt.plot(x[x_warping_path],label="aligned query to reference") - plt.plot(y,label="reference") + plt.plot(x[x_warping_path], label="aligned query to reference") + plt.plot(y, label="reference") plt.legend() - plt.ylim(-1,3) + plt.ylim(-1, 3) .. image:: img/tutorial/x_to_y.png @@ -90,43 +90,215 @@ warp one to the other # warp y to x y_warping_path = res.get_warping_path(target="reference") - plt.plot(x,label="query") - plt.plot(y[y_warping_path],label="aligned reference to query") + plt.plot(x, label="query") + plt.plot(y[y_warping_path], label="aligned reference to query") plt.legend() - plt.ylim(-1,3) + plt.ylim(-1, 3) .. image:: img/tutorial/y_to_x.png Advanced Usage ============== -global constraint + +Global constraint ----------------- -regarding how to run dtw with global constrained which is also called windowing. -local constraint +`dtw` method can take `window_type` parameter to constrain +the warping path globally which is also known as 'windowing'. + +.. code-block:: python + + # run DTW with Itakura constraint + res = dtw(x, y, window_type="itakura") + res.plot_path() + +.. image:: img/tutorial/itakura.png + +.. code-block:: python + + # run DTW with Sakoechiba constraint + res = dtw(x, y, window_type="sakoechiba", window_size=20) + # visualize alignment path with cumsum cost matrix + res.plot_path() + +.. image:: img/tutorial/sakoechiba.png + +Local constraint ---------------- -regarding how to run dtw with local constrained which is also called step pattern. +`dtwalign` package also supports local constrained optimization +which is also known as 'step pattern'. +Following step patterns are supported: + +* symmetric1 +* symmetric2 +* symmetricP05 +* symmetricP0 +* symmetricP1 +* symmetricP2 +* Asymmetric +* AsymmetricP0 +* AsymmetricP05 +* AsymmetricP1 +* AsymmetricP2 +* TypeIa +* TypeIb +* TypeIc +* TypeId +* TypeIas +* TypeIbs +* TypeIcs +* TypeIds +* TypeIIa +* TypeIIb +* TypeIIc +* TypeIId +* TypeIIIc +* TypeIVc +* Mori2006 + +.. code-block:: python + + # run DTW with symmetricP2 pattern + res = dtw(x, y, step_pattern="symmetricP2") + res.plot_path() + +.. image:: img/tutorial/local-constrained.png -partial alignment +Partial alignment ----------------- -regarding how to perform partial matching algorithm. +`dtw` method also be able to perform partial matching algorithm +by setting `open_begin` and `open_end`. +Before see example code, let's make toy data via following: -use other metric +.. code-block:: python + + x_partial = np.sin(2 * np.pi * 3 * np.linspace(0.3, 0.8, 100)) + x_partial += np.random.rand(x_partial.size) + y_partial = np.sin(2 * np.pi * 3.1 * np.linspace(0, 1, 120)) + y_partial += np.random.rand(y_partial.size) + + plt.plot(x_partial, label="query") + plt.plot(y_partial, label="reference") + plt.legend() + plt.ylim(-1, 3) + +.. image:: img/tutorial/toy_data_partial.png + +Open-end alignment can be performed by letting `open_end` True. + +.. code-block:: python + + res = dtw(x_partial, y_partial, open_end=True) + res.plot_path() + +.. image:: img/tutorial/open_end.png + +As above, let `open_begin` True to run open-begin alignment. + +.. note:: + Open-begin requires "N" normalizable pattern. + If you want to know more detail, see `references `_. + +.. code-block:: python + + res = dtw(x_partial, y_partial, step_pattern="asymmetric", open_begin=True) + res.plot_path() + +.. image:: img/tutorial/open_begin.png + +.. code-block:: python + + res = dtw(x_partial,y_partial,step_pattern="asymmetric",open_begin=True,open_end=True) + res.plot_path() + +.. image:: img/tutorial/open_begin_end.png + +Use other metric ---------------- -how to use other pair-wise distance metric (default is euclidean). +You can use other pair-wise distance metric (default is euclidean). +Metrics in `scipy.spatial.distance.cdist` are supported: + +.. code-block:: python + + res = dtw(x, y, dist="minkowski") + + +Arbitrary function which returns distance value between x and y is also available. -use pre-computed distance matrix +.. code-block:: python + + res = dtw(x, y, dist=lambda x, y: np.abs(x - y)) + +Use pre-computed distance matrix -------------------------------- -how to run dtw with given pre-computed distance matrix, not with X and Y. +You can also calculate DTW with given pre-computed distance matrix like: + +.. code-block:: python + + # calculate pair-wise distance matrix in advance + from scipy.spatial.distance import cdist + X = cdist(x[:,np.newaxis], y[:,np.newaxis], metric="euclidean") -use user-defined constraints + # use `dtw_from_distance_matrix` method for computation. + from dtwalign import dtw_from_distance_matrix + res = dtw_from_distance_matrix(X, window_type="itakura", step_pattern="typeIVc") + +Use user-defined constraints ---------------------------- -how to define user constraint and to use. +Local constraint (step pattern) +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: python + + # define local constraint (step pattern) + from dtwalign.step_pattern import UserStepPattern + pattern_info = [ + dict( + indices=[(-1,0),(0,0)], + weights=[1] + ), + dict( + indices=[(-1,-1),(0,0)], + weights=[2] + ), + dict( + indices=[(0,-1),(0,0)], + weights=[1] + ) + ] + user_step_pattern = UserStepPattern(pattern_info=pattern_info,normalize_guide="N+M") + + # plot + user_step_pattern.plot() + +.. image:: img/tutorial/user_step.png + +Global constraint (windowing) +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: python + + # define global constraint (windowing) + from dtwalign.window import UserWindow + user_window = UserWindow(X.shape[0], X.shape[1], win_func=lambda i, j: np.abs(i ** 2 - j ** 2) < 5000) + + # plot + user_window.plot() + +.. image:: img/tutorial/user_window.png + +To compute DTW with user-specified constraints, use `dtw_low` method like: + +.. code-block:: python + + # import lower dtw interface + from dtwalign import dtw_low + res = dtw_low(X,window=user_window,pattern=user_step_pattern) + res.plot_path() -Utilities -========= \ No newline at end of file +.. image:: img/tutorial/user_path.png \ No newline at end of file