{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C4\"\n", "

SSM: Thresholding

\n", "
\n", "\n", "
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\n", "Following Section 4.2.2.4 of [Müller, FMP, Springer 2015], we discuss in this notebook thresholding strategies that are applicable for a wide range of matrix representations. We show the behavior of these strategies by applying them to self-similarity matrices. The functionalities are also provided by the MATLAB toolbox described in the following article:\n", "\n", "

\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "In many music analysis applications, self-similarity matrices are further processed by suppressing all values that fall below a given threshold. On the one hand, such a step often leads to a substantial reduction of unwanted noise-like components while leaving only the most significant structures. On the other hand, weaker but still relevant information may be lost. The thresholding strategy used may have a significant impact on the final result and has to be carefully chosen in the context of the considered application. In this notebook, we introduce different thresholding techniques that are applicable to **any real-valued matrix with nonnegative entries**. For the moment, before we come back to our SSM scenario, let $\\mathbf{S}\\in\\mathbb{R}_{\\geq 0}^{N\\times M}$ be such a matrix having dimensions $N,M\\in\\mathbb{N}$. As illustration, we use a small toy example." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:15.311364Z", "iopub.status.busy": "2024-02-15T08:54:15.311067Z", "iopub.status.idle": "2024-02-15T08:54:17.714317Z", "shell.execute_reply": "2024-02-15T08:54:17.713529Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Matrix S of dimension N=4 and M=6:\n", "[[8 7 6 5 4 3]\n", " [3 4 5 6 7 8]\n", " [2 3 4 5 6 7]\n", " [1 2 3 4 5 6]]\n" ] } ], "source": [ "import sys\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "sys.path.append('..')\n", "import libfmp.b\n", "\n", "%matplotlib inline\n", "\n", "S = np.array([[8,7,6,5,4,3], [3,4,5,6,7,8], [2,3,4,5,6,7], [1,2,3,4,5,6]])\n", "N, M = S.shape\n", "print('Matrix S of dimension N=%d and M=%d:'%(N,M))\n", "print(S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global Thresholding\n", "\n", "The simplest strategy is to apply **global thresholding**, where all values $\\mathbf{S}(n,m)$ of a matrix $\\mathbf{S}\\in\\mathbb{R}_{\\geq 0}^{N\\times M}$ below a given threshold parameter $\\tau>0$ are set to zero:\n", "\n", "\\begin{equation}\n", " \\mathbf{S}_\\tau(n,m):=\\left\\{\\begin{array}{ll}\n", " \\mathbf{S}(n,m) &\\quad \\mbox{if $\\mathbf{S}(n,m)\\geq\\tau$,}\\\\\n", " 0,&\\quad\\mbox{otherwise.}\n", "\\end{array}\\right.\n", "\\end{equation}\n", "\n", "Also, **binarization** of the matrix can be applied by setting all values above or equal to the threshold to one and all others to zero. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:17.749001Z", "iopub.status.busy": "2024-02-15T08:54:17.748686Z", "iopub.status.idle": "2024-02-15T08:54:18.277493Z", "shell.execute_reply": "2024-02-15T08:54:18.276784Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "S_global = np.copy(S)\n", "\n", "thresh = 6\n", "S_global = np.copy(S)\n", "S_global[S_global < thresh] = 0\n", "S_binary = np.copy(S_global)\n", "S_binary[S_global >= thresh] = 1\n", "\n", "figsize=(11, 2)\n", "fig, ax = plt.subplots(1, 3, figsize=figsize)\n", "libfmp.b.plot_matrix(S, ax=[ax[0]], xlabel='', ylabel='',\n", " title=r'Original matrix')\n", "libfmp.b.plot_matrix(S_global, ax=[ax[1]], xlabel='', ylabel='',\n", " title=r'Global thresholding ($\\tau = %0.2f$)'%thresh)\n", "libfmp.b.plot_matrix(S_binary, ax=[ax[2]], xlabel='', ylabel='', \n", " title=r'Binarization')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scaling and Penalty\n", "\n", "Instead of binarization, one may perform a **scaling** where the range $[\\tau,\\mu]$ is linearly scaled to $[0,1]$ in the case that $\\mu:=\\max_{n,m}\\{\\mathbf{S}(n,m)\\}>\\tau$, otherwise all entries are set to zero. Sometimes it may be beneficial to introduce an additional **penalty** parameter $\\delta\\leq 0$, setting all original values below the threshold to the value $\\delta$. The following figure shows the result before and after scaling continuing our example above. Furthermore, we apply a penalty parameter $\\delta=-2$. The meaning of the penalty parameters becomes important when discussing a procedure for [audio thumbnailing](../C4/C4S3_AudioThumbnailing.html)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:18.280226Z", "iopub.status.busy": "2024-02-15T08:54:18.280015Z", "iopub.status.idle": "2024-02-15T08:54:18.767877Z", "shell.execute_reply": "2024-02-15T08:54:18.767221Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "min_value = thresh\n", "max_value = np.max(S_global) \n", "if max_value > min_value:\n", " S_scale = np.divide((S_global - min_value), (max_value - min_value)) \n", " S_scale[S_global min is violated') \n", " \n", "penalty = -2\n", "S_penalty = np.divide((S_global - min_value), (max_value - min_value)) \n", "S_penalty[S_global\n", "Important note: Because of rounding issues and the fact that different matrix entries may have identical values, the split as specified by $\\rho$ may not be exact.\n", " " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:18.771037Z", "iopub.status.busy": "2024-02-15T08:54:18.770755Z", "iopub.status.idle": "2024-02-15T08:54:19.188408Z", "shell.execute_reply": "2024-02-15T08:54:19.187840Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "thresh_rel=0.50, thresh_abs=5, total_num_cells=24, num_cells_below_thresh=12, \n", "thresh_rel=0.30, thresh_abs=6, total_num_cells=24, num_cells_below_thresh=17, \n", "thresh_rel=0.10, thresh_abs=8, total_num_cells=24, num_cells_below_thresh=22, \n" ] }, { "data": { "image/png": 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kI7CL3zlgVrPEc8AZYFazJKb6RMRmYHP58wOSNgD74VOGmQ1Vwh/4zgGzhqSaA84As2a0PvDvJGkcOBxYPc3vzgTOBDjggAOGUZtZNhLf0reTmXLAGWA2N6OSAx4LmNWjiQzo+2ShkhYDlwPnRMT93b+PiImpywkvXbp0mDWaZSHVub2dZssBZ4DZ3KWeAx4LmNUrhTn+SFpEsaJ/MSKuGHoVZpkbhS19zgGzeqWeA84As3olMcdfkoBPAxsi4vxaqzHL1Ah84DsHzGqWcg44A8zql8pUn6OA04GjJa0rb8fXWpVZhhLfxe8cMGtAwjngDDBrQOtTfSLiBkBD79nMnpDylj5wDpg1IeUccAaY1S+JqT5m1oxUP/DNrDnOAbO8eeBvlgFJjI31fZItM5uHnANmeWsiA5wwZokYZE6fpAWSbpZ0ZY2lmVlDnANmeRtkjn+VDPAWf7MEzGFe39nABmDP4VZkZk1zDpjlrYkM8BZ/swRMrewVv+EvA14JfKrW4sysEc4Bs7x1Z0A/OVA1A7zFvyYrV65stf/Jycms+we466672i6hkq4VfG9JazruT0TERNdTLgDeDSypuTQbQStWrGi1f2fAYJwDZsNVXIJidEwz2O+VAxdQIQM88DdLwDS797ZFxPJZlj8B2BIRayWtqLk8M2uAc8AsbzNM9ZkxBwbJAA/8zRJRcV7fUcCJ5QV0dgP2lPSFiDitluLMrBHOAbO81Z0BnuNvloCqc3sj4r0RsSwixoFTgGv9YW822pwDZnmrOsd/kAzwFn+zBKR8xU4za4ZzwCxvvnKvWUYGXdkjYhWwapi1mFk7nANmeas7AzzwN0uAt/SZmXPALG/e4m+WEX/gm5lzwCxvdWdAz4N7JV0oaYukW2utxCxjg1y4p0nOAbP6OQfM8jbIBbyq6uesPhcBxw69ZzN7Quof+DgHzGrnHDDLWxMD/55TfSLiu5LGh96zme0k0Q96wDlg1hTngFneWp/q0y9JZ0paI2nN1q1bh9WsWRYkMTY29sRtFDkDzObGOWCWt+4MqCMHhtZiRExExPKIWL506dJhNWuWjcR38ffkDDCbO+eAWd5an+pjZvXzafzMzDlgljefztMsE/7ANzPngFnemsiAfk7neTFwI3CwpE2Szqi1IrNMpbyL3zlg1gzngFneWp/qExGnDr1XM9tJ6lv6nANm9XMOmOXNU33MMpLyB76ZNcM5YJY3D/zNMpD6lj4zq59zwCxvSczxN7P6Vb1ip6T9JV0naYOk9ZLObqBMM6uRc8Asb1Wv3DtIBniLv1kiKn7Lfwx4Z0TcJGkJsFbSNRFxWz3VmVkTnANmeas7AzzwN0tA1d17EbEZ2Fz+/ICkDcB+gD/wzUaUc8Asb01kQC0D/7Vr1yKpjqb7cuCBB7bW95Tx8fGs+1+1alWr/bdt+fLllZ/TtbLvLWlNx/2JiJiY7nmSxoHDgdWVO62JM8DroDHQOuAcGJ6IaK1vS0eb74MhjAWgzxzoNwO8xd8sAdN8y98WET0TQ9Ji4HLgnIi4v676zKx+zgGzvM2wxb9nDlTJAA/8zRIwyJH8khZRrOhfjIgrainMzBrjHDDLWxMZ4IG/WSLGxvo/yZaK/eefBjZExPm1FWVmjXIOmOWt7gzw6TzNElD1NH7AUcDpwNGS1pW34+ut0szq5Bwwy1vV03kyQAZ4i79ZIioeyX8D0N5Rc2ZWC+eAWd7qzgAP/M0S4Ct2mplzwCxvTWSAB/5mifAHvpk5B8zyVncG9DXHX9KxkjZKukPSubVWZJahAeb2NsoZYFY/54BZ3gaY419Zz4G/pAXAx4HjgEOAUyUdMvRKzDKW8ge+M8CsGc4Bs7wlMfAHjgDuiIg7I2IHcAlw0tArMctcqh/4OAPMGuMcMMtb3QP/fub47wfc3XF/E/Ci7oUknQmcOaS6zLKS+EF9zgCzBjgHzPKWysG9050mKH7ngYgJYAJA0u/83sxml/AHvjPArCHOAbO8pTDw3wTs33F/GXBPPeWY5SnxLX3OALMGOAfM8tZEBvQzx/8HwEGSniFpF+AU4Bu1VmWWmZQP6sMZYNYI54BZ3po4uLfnFv+IeEzSWcC3gQXAhRGxfuiVmGUuwQ96wBlg1iTngFneUpjqQ0RcBVxVayVmGUt8F78zwKwBzgGzvKVycK+ZNWBsrK/r6ZnZPOYcMMtb3Rnggb9ZAlLf0mdm9XMOmOUtlYN7zaxmgxzUJ+lYSRsl3SHp3JpLNLOaOQfM8jbIwb1VM8ADf7NEVFzRFwAfB44DDgFOlXRIzSWaWc2cA2Z5qzLwHyQDPPA3S8AAW/qOAO6IiDsjYgdwCXBSrUWaWa2cA2Z5G2CLf+UMUMTwL6wnaStw1xya2BvYNqRy3P/o9Z9CDXPt/8CIWNrvwpKuLvucshvwcMf9ifKKmFPLnwwcGxFvLu+fDrwoIs6aQ81DMw8yIIUa3P/o9+8cGO0cyL3/FGoY9f7nmgEwSw4MkgG1HNxb5UVOR9KaiFg+rHrc/2j1n0INTfcfEcdWfIqma2YYtQzDqGdACjW4//z6dw7sLMf3QEr9p1BDbv03kQGe6mM2mjYB+3fcXwbc01ItZtYO54BZ3ipngAf+ZqPpB8BBkp4haRfgFOAbLddkZs1yDpjlrXIGpHoe/4nei7j/edw/tF9D2/3PKiIek3QW8G1gAXBhRKxvuaxhSuHv33YN7j/v/ntyDrj/BrRdQ+79z2qQDKjl4F4zMzMzM0uLp/qYmZmZmWXAA38zMzMzswwkNfBv+9Ljki6UtEXSrU33Xfa/v6TrJG2QtF7S2Q33v5uk70v6Ydn/PzfZf0cdCyTdLOnKFvqelPQjSeskrWm6f8s7B9rOgLIG54BzoFU5Z0DZv8cCtJsBZf/zMgeSmeNfXnb4x8DLKE5P9APg1Ii4rcEaXgxsBz4XEYc21W9H//sA+0TETZKWAGuBVzf1N5AkYI+I2C5pEXADcHZEfK+J/jvq+DtgObBnRJzQcN+TwPKIaPuiKVnKPQfazoCyBueAc6A1uWdA2b/HArSbAWX/k8zDHEhpi3/rlx6PiO8Cv2yyz67+N0fETeXPDwAbgP0a7D8iYnt5d1F5a/SboaRlwCuBTzXZryUj6xxoOwPKfp0D1qasM6Ds32MBZ0BtUhr47wfc3XF/Ew1/4KVE0jhwOLC64X4XSFoHbAGuiYhG+wcuAN4N/LbhfqcE8B1JayWd2VINOXMOlNrKgLJv54BzoC3OgA4eC7SWATBPcyClgX/Slx5vkqTFwOXAORFxf5N9R8TjEXEYxdXfjpDU2G5OSScAWyJibVN9TuOoiHg+cBzwt+UuX2uOc4B2MwCcAzgH2uQMKHks0GoGwDzNgZQG/r70OFDOp7sc+GJEXNFWHRFxH7AKOLbBbo8CTizn1V0CHC3pCw32T0TcU/67BfgqxW5na072OZBKBoBzwDnQiuwzANLJgVwzAOZvDqQ08M/+0uPlATWfBjZExPkt9L9U0l7lz7sDxwC3N9V/RLw3IpZFxDjF//+1EXFaU/1L2qM8kApJewAvB1o5q0PGss6BtjOgrME54BxoU9YZAO3nQO4ZAPM7B5IZ+EfEY8DUZYc3AF9p+tLjki4GbgQOlrRJ0hlN9k/xLfd0im+368rb8Q32vw9wnaRbKML3moho5TRaLXk6cIOkHwLfB/4rIq5uuaasOAdazwBwDjgHWuQMANrPgdwzAOZxDiRzOk8zMzMzM6tPMlv8zczMzMysPh74m5mZmZllwAN/MzMzM7MMeOBvZmZmZpYBD/zNzMzMzDLggb+ZmZmZWQY88DczMzMzy8D/A2kompGHWD+aAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def threshold_matrix_relative(S, thresh_rel=0.2, details=False):\n", " \"\"\"Treshold matrix in a relative fashion\n", "\n", " Notebook: C4/C4S2_SSM-Thresholding.ipynb\n", "\n", " Args:\n", " S (np.ndarray): Input matrix\n", " thresh_rel (float): Relative treshold (Default value = 0.2)\n", " details (bool): Print details on thresholding procedure (Default value = False)\n", "\n", " Returns:\n", " S_thresh (np.ndarray): Thresholded matrix\n", " thresh_abs (float): Absolute threshold used for thresholding\n", " \"\"\"\n", " S_thresh = np.copy(S)\n", " num_cells_below_thresh = int(np.round(S_thresh.size*(1-thresh_rel)))\n", " values_sorted = np.sort(S_thresh.flatten('F'))\n", " thresh_abs = values_sorted[num_cells_below_thresh]\n", " S_thresh[S_thresh < thresh_abs] = 0\n", " if details:\n", " print('thresh_rel=%0.2f, thresh_abs=%d, total_num_cells=%d, num_cells_below_thresh=%d, ' %\n", " (thresh_rel, thresh_abs, S_thresh.size, num_cells_below_thresh))\n", " return S_thresh, thresh_abs\n", "\n", "\n", "thresh_rel_set = [0.5, 0.3, 0.1]\n", "num = len(thresh_rel_set)\n", "fig, ax = plt.subplots(1, num, figsize=figsize)\n", "for m in range(num):\n", " thresh_rel = thresh_rel_set[m]\n", " S_relative, thresh_abs = threshold_matrix_relative(S, thresh_rel, details=True)\n", " libfmp.b.plot_matrix(S_relative, ax=[ax[m]], xlabel='', ylabel='', \n", " title=r'Relative thresholding ($\\rho = %0.2f$)'%thresh_rel)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Local Thresholding\n", "\n", "Finally, thresholding can also be performed using a more **local** strategy by thresholding in a row- and column-wise fashion. Let $\\rho_1\\in[0,1]$ be a relative threshold for the rows and $\\rho_2\\in[0,1]$ for the columns. Then, for each cell $(n,m)$, the value $\\mathbf{S}(n,m)$ is kept if it is among the $\\rho_1\\cdot 100\\%$ of the largest cells in row $n$ and at the same time among the $\\rho_2\\cdot 100\\%$ of the largest cells in column $m$, all other values being set to zero. In the following figure, we show two binary masks (as intermediate results) that indicate whether cells belong to the largest among their rows or columns, respectively, as well as the final result." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:19.190933Z", "iopub.status.busy": "2024-02-15T08:54:19.190738Z", "iopub.status.idle": "2024-02-15T08:54:19.630672Z", "shell.execute_reply": "2024-02-15T08:54:19.629963Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "thresh_rel_row=0.8\n", "thresh_rel_col=0.5\n", "\n", "S_binary_row = np.ones([N,M])\n", "num_cells_row_below_thresh = int(np.round(M*(1-thresh_rel_row)))\n", "for n in range(N):\n", " row = S[n,:]\n", " values_sorted = np.sort(row)\n", " thresh_abs = values_sorted[num_cells_row_below_thresh]\n", " S_binary_row[n,:] = (row>=thresh_abs)\n", "\n", "S_binary_col = np.ones([N,M])\n", "num_cells_col_below_thresh = int(np.round(N*(1-thresh_rel_col))) \n", "for m in range(M):\n", " col = S[:,m]\n", " values_sorted = np.sort(col)\n", " thresh_abs = values_sorted[num_cells_col_below_thresh]\n", " S_binary_col[:,m] = (col>=thresh_abs)\n", " \n", "S_local = S * S_binary_row * S_binary_col\n", " \n", "fig, ax = plt.subplots(1, 3, figsize=figsize)\n", "libfmp.b.plot_matrix(S_binary_row, ax=[ax[0]], xlabel='', ylabel='', \n", " title=r'Binary mask for rows ($\\rho_1 = %0.2f$)'%thresh_rel_row)\n", "libfmp.b.plot_matrix(S_binary_col, ax=[ax[1]], xlabel='', ylabel='', \n", " title=r'Binary mask for columns ($\\rho_2 = %0.2f$)'%thresh_rel_col)\n", "libfmp.b.plot_matrix(S_local, ax=[ax[2]], xlabel='', ylabel='', \n", " title=r'Local thresholding ($\\rho_1 = %0.2f$, $\\rho_2 = %0.2f$)'%(thresh_rel_row,thresh_rel_col))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation: Thresholding Function\n", "\n", "As said before, the suitability of a thresholding setting depends on the respective music material and the application in mind. Often, suitable thresholds are learned and optimized using supervised learning procedures. The following code cell provides the function threshold_matrix, which comprises all the thresholding variants discussed above.\n", "\n", "
\n", "Important notes for the function threshold_matrix: \n", " \n", "* Some parameter settings may not make sense (for exampling, using scaling with penalty as well as binarization). \n", "* Depending on the strategy, one may need one threshold (in case of 'absolute' and 'relative') or two threshold parameters (in case of 'local').\n", "* Because of rounding issues and the fact that different matrix entries may have identical values, the split as specified by $\\rho$ may not be exact. \n", "
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:19.633616Z", "iopub.status.busy": "2024-02-15T08:54:19.633409Z", "iopub.status.idle": "2024-02-15T08:54:20.432802Z", "shell.execute_reply": "2024-02-15T08:54:20.431956Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def threshold_matrix(S, thresh, strategy='absolute', scale=False, penalty=0.0, binarize=False):\n", " \"\"\"Treshold matrix in a relative fashion\n", "\n", " Notebook: C4/C4S2_SSM-Thresholding.ipynb\n", "\n", " Args:\n", " S (np.ndarray): Input matrix\n", " thresh (float or list): Treshold (meaning depends on strategy)\n", " strategy (str): Thresholding strategy ('absolute', 'relative', 'local') (Default value = 'absolute')\n", " scale (bool): If scale=True, then scaling of positive values to range [0,1] (Default value = False)\n", " penalty (float): Set values below treshold to value specified (Default value = 0.0)\n", " binarize (bool): Binarizes final matrix (positive: 1; otherwise: 0) (Default value = False)\n", "\n", " Returns:\n", " S_thresh (np.ndarray): Thresholded matrix\n", " \"\"\"\n", " if np.min(S) < 0:\n", " raise Exception('All entries of the input matrix must be nonnegative')\n", "\n", " S_thresh = np.copy(S)\n", " N, M = S.shape\n", " num_cells = N * M\n", "\n", " if strategy == 'absolute':\n", " thresh_abs = thresh\n", " S_thresh[S_thresh < thresh] = 0\n", "\n", " if strategy == 'relative':\n", " thresh_rel = thresh\n", " num_cells_below_thresh = int(np.round(S_thresh.size*(1-thresh_rel)))\n", " if num_cells_below_thresh < num_cells:\n", " values_sorted = np.sort(S_thresh.flatten('F'))\n", " thresh_abs = values_sorted[num_cells_below_thresh]\n", " S_thresh[S_thresh < thresh_abs] = 0\n", " else:\n", " S_thresh = np.zeros([N, M])\n", "\n", " if strategy == 'local':\n", " thresh_rel_row = thresh[0]\n", " thresh_rel_col = thresh[1]\n", " S_binary_row = np.zeros([N, M])\n", " num_cells_row_below_thresh = int(np.round(M * (1-thresh_rel_row)))\n", " for n in range(N):\n", " row = S[n, :]\n", " values_sorted = np.sort(row)\n", " if num_cells_row_below_thresh < M:\n", " thresh_abs = values_sorted[num_cells_row_below_thresh]\n", " S_binary_row[n, :] = (row >= thresh_abs)\n", " S_binary_col = np.zeros([N, M])\n", " num_cells_col_below_thresh = int(np.round(N * (1-thresh_rel_col)))\n", " for m in range(M):\n", " col = S[:, m]\n", " values_sorted = np.sort(col)\n", " if num_cells_col_below_thresh < N:\n", " thresh_abs = values_sorted[num_cells_col_below_thresh]\n", " S_binary_col[:, m] = (col >= thresh_abs)\n", " S_thresh = S * S_binary_row * S_binary_col\n", "\n", " if scale:\n", " cell_val_zero = np.where(S_thresh == 0)\n", " cell_val_pos = np.where(S_thresh > 0)\n", " if len(cell_val_pos[0]) == 0:\n", " min_value = 0\n", " else:\n", " min_value = np.min(S_thresh[cell_val_pos])\n", " max_value = np.max(S_thresh)\n", " # print('min_value = ', min_value, ', max_value = ', max_value)\n", " if max_value > min_value:\n", " S_thresh = np.divide((S_thresh - min_value), (max_value - min_value))\n", " if len(cell_val_zero[0]) > 0:\n", " S_thresh[cell_val_zero] = penalty\n", " else:\n", " print('Condition max_value > min_value is voliated: output zero matrix')\n", "\n", " if binarize:\n", " S_thresh[S_thresh > 0] = 1\n", " S_thresh[S_thresh < 0] = 0\n", " return S_thresh\n", "\n", "\n", "\n", "figsize=(11, 4)\n", "fig, ax = plt.subplots(2, 3, figsize=figsize)\n", "libfmp.b.plot_matrix(S, ax=[ax[0,0]], xlabel='', ylabel='', title=r'Original matrix')\n", "\n", "strategy = 'relative'\n", "thresh = 0.7\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=0, penalty=0, binarize=0)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[0,1]], xlabel='', ylabel='', \n", " title=[strategy, thresh])\n", "\n", "strategy = 'relative'\n", "thresh = 0.7\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=1, penalty=-2, binarize=0)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[0,2]], xlabel='', ylabel='', \n", " title=[strategy, thresh, \"scale\", \"-2\"])\n", "\n", "strategy = 'relative'\n", "thresh = 0.7\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=1, penalty=-2, binarize=1)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[1,0]], xlabel='', ylabel='', \n", " title=[strategy, thresh, \"scale\", \"-2\", \"binarize\"])\n", "\n", "strategy = 'local'\n", "thresh = [0.7, 0.7]\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=0, penalty=0, binarize=0)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[1,1]], xlabel='', ylabel='', \n", " title=[strategy, thresh])\n", "\n", "strategy = 'local'\n", "thresh = [0.7, 0.7]\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=1, penalty=-2, binarize=0)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[1,2]], xlabel='', ylabel='', \n", " title=[strategy, thresh, \"scale\", \"-2\"])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Exercise 4.5\n", "\n", "To test our implementation, we consider the toy example from Exercise 4.5 of [Müller, FMP, Springer 2015] and apply different thresholding operations. Let $\\mathbf{S}$ be the matrix defined as:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.436105Z", "iopub.status.busy": "2024-02-15T08:54:20.435902Z", "iopub.status.idle": "2024-02-15T08:54:20.440395Z", "shell.execute_reply": "2024-02-15T08:54:20.439829Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Matrix S of dimension N=4 and M=4:\n", "[[1 1 2 2]\n", " [4 3 4 3]\n", " [1 1 2 2]\n", " [5 6 6 5]]\n" ] } ], "source": [ "S = np.array([[1,1,2,2], [4,3,4,3], [1,1,2,2], [5,6,6,5]])\n", "N, M = S.shape\n", "print('Matrix S of dimension N=%d and M=%d:'%(N,M))\n", "print(S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\textbf{(a)}$ Global thresholding using $\\tau=4$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.442900Z", "iopub.status.busy": "2024-02-15T08:54:20.442656Z", "iopub.status.idle": "2024-02-15T08:54:20.446061Z", "shell.execute_reply": "2024-02-15T08:54:20.445587Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 0 0 0]\n", " [4 0 4 0]\n", " [0 0 0 0]\n", " [5 6 6 5]]\n" ] } ], "source": [ "strategy = 'absolute'\n", "thresh = 4\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=0, penalty=0, binarize=0)\n", "print(S_thresh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\textbf{(b)}$ Global thresholding using $\\tau=4$ as in (a) with subsequent linear scaling of the range $[\\tau,\\mu]$ to $[0,1]$ using $\\mu:=\\max\\{\\mathbf{S}(n,m)\\mid n,m \\in[1:4]\\}$:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.448535Z", "iopub.status.busy": "2024-02-15T08:54:20.448353Z", "iopub.status.idle": "2024-02-15T08:54:20.452231Z", "shell.execute_reply": "2024-02-15T08:54:20.451368Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0. 0. ]\n", " [0. 0. 0. 0. ]\n", " [0. 0. 0. 0. ]\n", " [0.5 1. 1. 0.5]]\n" ] } ], "source": [ "strategy = 'absolute'\n", "thresh = 4\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=1, penalty=0, binarize=0)\n", "print(S_thresh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\textbf{(c)}$ Global thresholding with subsequent linear scaling as in (b) and applying the penalty parameter $\\delta=-1$:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.455286Z", "iopub.status.busy": "2024-02-15T08:54:20.455092Z", "iopub.status.idle": "2024-02-15T08:54:20.458741Z", "shell.execute_reply": "2024-02-15T08:54:20.458272Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1. -1. -1. -1. ]\n", " [ 0. -1. 0. -1. ]\n", " [-1. -1. -1. -1. ]\n", " [ 0.5 1. 1. 0.5]]\n" ] } ], "source": [ "strategy = 'absolute'\n", "thresh = 4\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=1, penalty=-1, binarize=0)\n", "print(S_thresh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\textbf{(d)}$ Relative thresholding using the relative threshold parameter $\\rho=0.5$:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.461143Z", "iopub.status.busy": "2024-02-15T08:54:20.460970Z", "iopub.status.idle": "2024-02-15T08:54:20.464162Z", "shell.execute_reply": "2024-02-15T08:54:20.463638Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 0 0 0]\n", " [4 3 4 3]\n", " [0 0 0 0]\n", " [5 6 6 5]]\n" ] } ], "source": [ "strategy = 'relative'\n", "thresh = 0.5\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=0, penalty=0, binarize=0)\n", "print(S_thresh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\textbf{(e)}$ Local thresholding in a column- and rowwise fashion using $\\rho=0.5$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.466915Z", "iopub.status.busy": "2024-02-15T08:54:20.466720Z", "iopub.status.idle": "2024-02-15T08:54:20.470867Z", "shell.execute_reply": "2024-02-15T08:54:20.470174Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0. 0.]\n", " [4. 0. 4. 0.]\n", " [0. 0. 0. 0.]\n", " [0. 6. 6. 0.]]\n" ] } ], "source": [ "strategy = 'local'\n", "thresh = [0.5, 0.5]\n", "S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy, scale=0, penalty=0, binarize=0)\n", "print(S_thresh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Brahms\n", "\n", "We now consider a real example by considering the Ormandy recording of the [Hungarian Dance No. 5 by Johannes Brahms](../C4/C4S1_MusicStructureGeneral.html). As a feature representation, we use a [chromagram](../C3/C3S1_SpecLogFreq-Chromagram.html) with a feature resolution of $2~\\mathrm{Hz}$. Furthermore, the SSM is processed using [path enhancement techniques](../C4/C4S2_SSM-PathEnhancement.html)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:20.473678Z", "iopub.status.busy": "2024-02-15T08:54:20.473486Z", "iopub.status.idle": "2024-02-15T08:54:26.529473Z", "shell.execute_reply": "2024-02-15T08:54:26.528723Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import os, sys, librosa\n", "from scipy import signal\n", "from matplotlib import pyplot as plt\n", "from matplotlib.colors import ListedColormap\n", "import matplotlib.gridspec as gridspec\n", "import IPython.display as ipd\n", "import pandas as pd\n", "from numba import jit\n", "\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c2\n", "import libfmp.c3\n", "import libfmp.c4\n", "\n", "%matplotlib inline\n", "\n", "def compute_sm_from_filename(fn_wav, L=21, H=5, L_smooth=16, tempo_rel_set=np.array([1]),\n", " shift_set=np.array([0]), strategy='relative', scale=True, thresh=0.15,\n", " penalty=0.0, binarize=False):\n", " \"\"\"Compute an SSM\n", "\n", " Notebook: C4/C4S2_SSM-Thresholding.ipynb\n", "\n", " Args:\n", " fn_wav (str): Path and filename of wav file\n", " L (int): Length of smoothing filter (Default value = 21)\n", " H (int): Downsampling factor (Default value = 5)\n", " L_smooth (int): Length of filter (Default value = 16)\n", " tempo_rel_set (np.ndarray): Set of relative tempo values (Default value = np.array([1]))\n", " shift_set (np.ndarray): Set of shift indices (Default value = np.array([0]))\n", " strategy (str): Thresholding strategy (see :func:`libfmp.c4.c4s2_ssm.compute_sm_ti`)\n", " (Default value = 'relative')\n", " scale (bool): If scale=True, then scaling of positive values to range [0,1] (Default value = True)\n", " thresh (float): Treshold (meaning depends on strategy) (Default value = 0.15)\n", " penalty (float): Set values below treshold to value specified (Default value = 0.0)\n", " binarize (bool): Binarizes final matrix (positive: 1; otherwise: 0) (Default value = False)\n", "\n", " Returns:\n", " x (np.ndarray): Audio signal\n", " x_duration (float): Duration of audio signal (seconds)\n", " X (np.ndarray): Feature sequence\n", " Fs_feature (scalar): Feature rate\n", " S_thresh (np.ndarray): SSM\n", " I (np.ndarray): Index matrix\n", " \"\"\"\n", " # Waveform\n", " Fs = 22050\n", " x, Fs = librosa.load(fn_wav, Fs)\n", " x_duration = x.shape[0] / Fs\n", "\n", " # Chroma Feature Sequence and SSM (10 Hz)\n", " C = librosa.feature.chroma_stft(y=x, sr=Fs, tuning=0, norm=2, hop_length=2205, n_fft=4410)\n", " Fs_C = Fs / 2205\n", "\n", " # Chroma Feature Sequence and SSM\n", " X, Fs_feature = libfmp.c3.smooth_downsample_feature_sequence(C, Fs_C, filt_len=L, down_sampling=H)\n", " X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "\n", " # Compute SSM\n", " S, I = libfmp.c4.compute_sm_ti(X, X, L=L_smooth, tempo_rel_set=tempo_rel_set, shift_set=shift_set, direction=2)\n", " S_thresh = libfmp.c4.threshold_matrix(S, thresh=thresh, strategy=strategy,\n", " scale=scale, penalty=penalty, binarize=binarize)\n", " return x, x_duration, X, Fs_feature, S_thresh, I\n", "\n", "\n", "# Annotation\n", "filename = 'FMP_C4_Audio_Brahms_HungarianDances-05_Ormandy.csv'\n", "fn_ann = os.path.join('..', 'data', 'C4', filename)\n", "ann, color_ann = libfmp.c4.read_structure_annotation(fn_ann, fn_ann_color=filename)\n", "\n", "# SM\n", "fn_wav = os.path.join('..', 'data', 'C4', 'FMP_C4_Audio_Brahms_HungarianDances-05_Ormandy.wav')\n", "tempo_rel_set = libfmp.c4.compute_tempo_rel_set(0.66, 1.5, 5)\n", "x, x_duration, X, Fs_X, S, I = compute_sm_from_filename(fn_wav, L=21, H=5, L_smooth=21, \n", " tempo_rel_set=tempo_rel_set, thresh= 1)\n", "\n", "# Visualization\n", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "fig, ax = libfmp.c4.plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X,\n", " label='Time (frames)', color_ann=color_ann, clim_X=[0,1], clim=[0,1], \n", " title='Feature rate: %0.0f Hz'%(Fs_X))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following code cell, we apply relative and local thresholding variants using different relative threshold parameters. Having a look at the figure, one may observe that the local variants tend to be a bit stricter than the relative ones." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:26.532200Z", "iopub.status.busy": "2024-02-15T08:54:26.531999Z", "iopub.status.idle": "2024-02-15T08:54:27.342273Z", "shell.execute_reply": "2024-02-15T08:54:27.341733Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figsize=(11,6)\n", "\n", "thresh_set = [0.3, 0.1, 0.05]\n", "strategy_set = ['relative', 'local']\n", "num_t = len(thresh_set)\n", "num_s = len(strategy_set)\n", "fig, ax = plt.subplots(num_s, num_t, figsize=figsize)\n", "for s in range(num_s):\n", " for t in range(num_t):\n", " thresh = thresh_set[t]\n", " strategy = strategy_set[s]\n", " if strategy == 'local':\n", " thresh = [thresh, thresh]\n", " S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy)\n", " libfmp.b.plot_matrix(S_thresh, ax=[ax[s,t]], xlabel='', ylabel='', \n", " title=[strategy, thresh])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: In the Year 2525\n", "\n", "We finally consider the song \"In the Year 2525\" by Zager and Evans, which we used as our running example in the [FMP notebook on transposition-invariant SSMs](../C4/C4S2_SSM-TranspositionInvariance.html). Again, a [chromagram](../C3/C3S1_SpecLogFreq-Chromagram.html) as feature representation with a resolution of $2~\\mathrm{Hz}$. To compute the the SSM we apply [path enhancement](../C4/C4S2_SSM-PathEnhancement.html) and [transposition invariance](../C4/C4S2_SSM-TranspositionInvariance.html)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:27.345248Z", "iopub.status.busy": "2024-02-15T08:54:27.345029Z", "iopub.status.idle": "2024-02-15T08:54:29.252886Z", "shell.execute_reply": "2024-02-15T08:54:29.252294Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Annotation\n", "filename = 'FMP_C4_F13_ZagerEvans_InTheYear2525.csv'\n", "fn_ann = os.path.join('..', 'data', 'C4', filename)\n", "ann, color_ann = libfmp.c4.read_structure_annotation(fn_ann, fn_ann_color=filename)\n", "\n", "# SM\n", "fn_wav = os.path.join('..', 'data', 'C4', 'FMP_C4_F13_ZagerEvans_InTheYear2525.wav')\n", "shift_set = np.array(range(12))\n", "x, x_duration, X, Fs_X, S, I = compute_sm_from_filename(fn_wav, L=21, H=5, L_smooth=11, \n", " shift_set=shift_set, thresh= 1)\n", "# Visualization\n", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "fig, ax = libfmp.c4.plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X,\n", " label='Time (frames)', color_ann=color_ann, clim_X=[0,1], clim=[0,1], \n", " title='Feature rate: %0.0f Hz'%(Fs_X))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As for the Brahms example, we now apply relative and local thresholding variants using different relative threshold parameters. Note that, since there are more path relations for the song \"In the Year 2525\" (compared to the Brahms example), using smaller threshold parameters results in a loss of relevant path structures." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:29.256724Z", "iopub.status.busy": "2024-02-15T08:54:29.256487Z", "iopub.status.idle": "2024-02-15T08:54:30.177628Z", "shell.execute_reply": "2024-02-15T08:54:30.176909Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figsize=(11,6)\n", "\n", "thresh_set = [0.3, 0.1, 0.05]\n", "strategy_set = ['relative', 'local']\n", "num_t = len(thresh_set)\n", "num_s = len(strategy_set)\n", "fig, ax = plt.subplots(num_s, num_t, figsize=figsize)\n", "for s in range(num_s):\n", " for t in range(num_t):\n", " thresh = thresh_set[t]\n", " strategy = strategy_set[s]\n", " if strategy == 'local':\n", " thresh = [thresh, thresh]\n", " S_thresh = threshold_matrix(S, thresh=thresh, strategy=strategy)\n", " libfmp.b.plot_matrix(S_thresh, ax=[ax[s,t]], xlabel='', ylabel='', \n", " title=[strategy, thresh])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We close this notebook with a visualization, where a thresholded SSM is plotted on top of the [transposition index matrix](../C4/C4S2_SSM-TranspositionInvariance.html)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:54:30.180462Z", "iopub.status.busy": "2024-02-15T08:54:30.180268Z", "iopub.status.idle": "2024-02-15T08:54:30.626088Z", "shell.execute_reply": "2024-02-15T08:54:30.625411Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "S_thresh = threshold_matrix(S, thresh=[0.2,0.2], strategy='local')\n", "\n", "figsize=(11,3)\n", "fig, ax = plt.subplots(1, 3, figsize=figsize)\n", "libfmp.b.plot_matrix(S_thresh, ax=[ax[0]], Fs=Fs_X, Fs_F=Fs_X, ylabel='Time (seconds)')\n", "\n", "libfmp.c4.subplot_matrix_ti_colorbar(I, fig, Fs=Fs_X, ax=ax[1], ind_zero=True)\n", "\n", "im = libfmp.c4.subplot_matrix_ti_colorbar(I, fig, ax=ax[2], ind_zero=True, Fs=Fs_X, alpha=0.5)\n", "colorList = np.array([[1,1,1,0],[0,0,0,1]])\n", "cmap = ListedColormap(colorList) \n", "plt.imshow(S_thresh, cmap=cmap, origin = 'lower', \n", " extent=[0, S_thresh.shape[0]/Fs_X, 0, S_thresh.shape[0]/Fs_X])\n", "plt.tight_layout()\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and David Kopyto.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
\"C0\"\"C1\"\"C2\"\"C3\"\"C4\"\"C5\"\"C6\"\"C7\"\"C8\"
" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }