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

Structure Feature

\n", "
\n", "\n", "
\n", "\n", "

\n", "Following Section 4.4.2 of [Müller, FMP, Springer 2015], we discuss in this notebook the concept of structure features, which was originally introduced by Serrà et al. in the following articles.\n", "\n", "

\n", " \n", " \n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Idea\n", "\n", "Most approaches for novelty detection are performed on the basis of features that capture local characteristics of the given music signal. For example, MFCC-based or chroma-based features capture local characteristics related to timbre or harmony, respectively. Then, a measure of novelty is computed by applying a [local kernel](../C4/C4S4_NoveltySegmentation.html) or a type of derivative operator based on such feature representations. Computing local differences based on **localized features** makes such approaches vulnerable to more or less random noise-like fluctuations. We now describe a novelty detection procedure that incorporates **global structural properties** that go beyond local musical aspects such as harmony or timbre. To this end, we introduce **structure features** on the basis of which various structure analysis principles can be integrated within a unifying framework. The idea behind structure features is to jointly consider local and global aspects by measuring for each frame of a given feature sequence the relations to all other frames of the same feature sequence. This yields a frame-wise, i.e., **local** feature representation that captures **global** structural characteristics of a feature sequence. The resulting structure features can then be used in combination with standard novelty detection procedures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time–Lag Representation\n", "\n", "We start by introducing the concept of **time–lag matrices**, which is the main technical ingredient for defining the structure features. Let $\\mathbf{S}$ be a self-similarity matrix derived from a feature sequence $X=(x_1,x_2,\\ldots,x_N)$. As detailed in the [FMP notebook on SSMs](../C4/C4S2_SSM.html), two repeating segments, say $\\alpha_1=[s_1:t_1]$ and $\\alpha_2=[s_2:t_2]$, are revealed by a path of high similarity in $\\mathbf{S}$ starting at $(s_1,s_2)$ and ending at $(t_1,t_2)$. Furthermore, if there is no relative tempo difference between the two segments, then the path runs exactly parallel to the main diagonal. One may also express this property by saying that segment $\\alpha_1$ is repeated after some **time lag** corresponding to $\\ell=s_2-s_1$ frames. This observation leads us to the notion of a time–lag representation of an SSM, where one time axis is replaced by a lag axis. To simplify notation, we assume in the following that the frames\n", "are indexed starting with the index $n=0$. Thus, $X=(x_0,x_1,\\ldots,x_{N-1})$ and the self-similarity matrix $\\mathbf{S}$ is indexed by $[0:N-1]\\times[0:N-1]$. The **time–lag representation** of $\\mathbf{S}$ is defined by\n", "\n", "\\begin{equation}\n", " \\mathrm{L}(\\ell,n)=\\mathbf{S}(n+\\ell,n) \n", "\\end{equation}\n", "\n", "for $n\\in[0:N-1]$ and $\\ell\\in[-n:N-1-n]$. Note that the range for the lag parameter $\\ell$ depends on the time parameter $n$. The lag index must be chosen in such a way that the sum $n+\\ell$ lies in the range $[0:N-1]$. For example, for time index $n=0$ one can only look into the future with $\\ell\\in[0:N-1]$, whereas for time index $n=N-1$ one can only look into the past with $\\ell\\in[-N+1:0]$. To simplify notation, we also introduce the **circular time–lag representation** $\\mathrm{L}^{\\!\\circ}$ by defining\n", "\n", "\\begin{equation}\n", " \\mathrm{L}^{\\!\\circ}(\\ell,n)=\\mathbf{S}\\big( (n+\\ell) \\mod N, n \\big)\n", "\\end{equation}\n", "\n", "for $n\\in[0:N-1]$ and $\\ell\\in[0:N-1]$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation and Examples \n", "\n", "We now illustrate the definitions by considering a [synthetically generated SSM](../C4/C4S2_SSM-Synthetic.html) that corresponds to the musical form $A_1B_1A_2B_2B_3A_3$. The following figure shows the input SSM $\\mathbf{S}$, the resulting time–lag representation $\\mathrm{L}$, as well as the circular version $\\mathrm{L}^{\\!\\circ}$. Note that the representation $\\mathrm{L}$ is obtained by shearing the original matrix $\\mathbf{S}$ parallel to the horizontal axis. As a result, lines that are parallel to the main diagonal in $\\mathbf{S}$ become horizontal lines in $\\mathrm{L}$. In other words, diagonal structures are transformed into horizontal structures. In the circular version, a negative lag parameter $\\ell\\in[-n:-1]$ as used in $\\mathrm{L}$ \n", "is identified with $\\ell+N$ in $\\mathrm{L}^{\\!\\circ}$. Doing so, the time–lag representation $\\mathrm{L}^{\\!\\circ}$ again becomes a matrix indexed by $[0:N-1]\\times[0:N-1]$ as for the matrix $\\mathbf{S}$.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:12.108871Z", "iopub.status.busy": "2024-02-15T08:52:12.108608Z", "iopub.status.idle": "2024-02-15T08:52:14.920331Z", "shell.execute_reply": "2024-02-15T08:52:14.919603Z" } }, "outputs": [ { "data": { "image/png": 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mN90tyVQ2MR0mqmBeRDPKaxOau2R71o40e+oo22+gmYMnIiJmsHErmHZY3nsl/bC9MzQiIqInEyX5DwM+N1blIumxwFzb3ykR3HSqfaht7fGXlvMzvTrdZekqiw0xURfZNsClkjqLjK2jma5/V5qFea4nd+JHRMQoJuoi+2A70+izgb2BP6JZOOcK4HDbV5UPcepqT4jXHn9pOT/lJfEfG2LCGy3bmyXPbb8iIiJ60tOCYxEREZPV85LJNak94Vt7/KXl/AxGEv8xWWnBREREET21YNolkt8N7GD7AEm7AXvZPqlodJNU+yfb2uMvLednOKQlE73qtQVzMnA29y/B+X/AkQXiiYiIGaLXHMy2tk+VdDQ062JLuqdgXD2rfahq7fGXlvMTUa9eK5jbJG1DsyIl7dLHNxeLKiKGXu6RiYn0WsG8mWaa/cdK+i6wHfCCYlFFRET1eqpgbF8i6ZnAH9KsZvlT23cVjWwCtSd8a4+/tJyfuiTxH6PpdRTZxsCBwLx2n/0kTbQeTEREzGK9dpGdAfweuAy4t5cdJO0MfAb4g3afpe3cZlsDX6CprFYDh9q+sZcya0/41h5/aTk/9UteJrr1WsHsZPuPJln23cBb2u61RwArJZ0LvAw4z/Zxko6imY35bZMsOyIihlyv98GcJWm/yRRse43tS9rHt9DMwLwjcDCwrH3bMpoVMyMiYoaR7YnfJP0lcApNhXQXTaLftrfo6SDSPOBbwO7AVba36nrtRtuPnGB/Q7luk9JNeUlAvfGXVvr8LFq0aKXtBUUKnwE611cpvfyPiXpJGvP66rWL7P3AXsBlnuRfi6TNgf8GjrT9284/kx72WwIsmcyxIiJiePRawfwM+NEUKpeH0FQun7X95XbzdZLm2l4jaS6wdrR9bS8FlgIsWLDAIyMjkzn0pHQnJqdTJ2ld+hNc6fgLtiyAfMIdtD322IORkZFif0cxe/VawawBzpd0FnBHZ+N4w5TVNFVOAq5Y733LgcXAce330ycbdEREDL9eK5hftF8Pbb96sTdwOHCZpO+32/6RpmI5VdIRwFXAIT1HW4Hah9qWjr/28xMRvev1Tv63T7Zg29+hGQwwmn0nW15ElNU9WCTdZTEdxq1gJH3E9hsknUE70WU32wcViywiIqo2UQvmpcAbgOP7EEvVap87q18J/VrPz2zTac2kJRMbYqIK5ucAti/oQywRETGDTFTBbCfpzWO9ONsnu6w9YZ2EfkwkeZnYEBNVMBsDmzN2sj4iImJUE1Uwa2y/oy+RRETEjDJRBZOWyyhqT1gnoR9TkcR/TNZEsynnfpWIiJiScVswtn/Tr0BqUPsn87RcYjqkJRO96nU9mIiIiEnpdS6yWav2obYZihwRg5IKJiKmJPfIxETSRRYREUWkBTOG2hPWSehHPyXxH6NJCyYiIooo1oKR9GlgIbDW9u7ttq2BLwDzgNXAobZvLBXDZNWesE5Cf/aRtDEwAvzK9sJhv8ZidinZgjkZ2H+9bUcB59meD5zXPo+IqXsTcEXX84FeYwsXLrzvK6JYBWP7W8D6N2oeDCxrHy8Dnl/q+BEznaSdgOcBn+ranGsshka/k/zb214DYHuNpDl9Pv6oak9YJ6E/a50IvBV4RNe2nq4xSUuAJQC77LJLkeDSiomhTfJLWiJpRNLIunXrBh1OxFCR1MlvrpzK/raX2l5ge8F22203zdFFNPrdgrlO0tz2k9VcYO1Yb7S9FFgKMH/+fJcY/tj5ZG572svuVmroZr/ir/38zFB7AwdJOhDYFNhC0ilM4hrrl87vt1SLpnT5MXX9bsEsBxa3jxcDp/f5+BEzgu2jbe9kex7wIuAbtg8j11gMkZLDlP8L2AfYVtI1wDHAccCpko4ArgIOKXX8sdQ+1Lb2+Esb7fzM8JbM+gZ+jUV0FKtgbL94jJeyxkzENLJ9PnB++/gGhvQa6+4KLdGdVbr8mLyhTfJHRETdZs1cZLUPta09/tJyfuqSxP/skBZMREQUMaNbMLUnxGuPv7Scn4jhNqMrmIgYbkn8z2zpIouIiCJmZAum9oRv7fGXlvMzMyXxP/OkBRMREUXMqBZM7Z9sa4+/tJyfiLqkBRMRQ2XFihXFJkDtR/lxv+pbMLUPVa09/tJyfiLqVX0FExEzU4Yw1y9dZBERUUS1LZjaE761x19azk90yxDmOqUFExERRQykBSNpf+CDwMbAp2wf18t+tSd8a4+/tJyfiJml7xWMpI2BjwLPBa4BLpa03PaP+x1LRNQlif+6DKKLbE9gle0rbd8JfB44eABxREREQYPoItsRuLrr+TXA08fbYdWqVSxatKjabpMkrMeX8zOzdXd91sj2oEOo1iAqGI2y7UG/QUlLgCXlw4mIiBLU79pZ0l7Asbb/on1+NIDt94yzzzrgNuD6vgRZxrYk/kF5lO3tBh3EsFqwYIFHRkaKlS+N9pmyHmnBjE/SStsLRnttEC2Yi4H5kh4N/Ap4EfCS8XawvZ2kkbF+iBok/hhWN998MytWrCiW1C7d9dmJO/OLDZ++VzC275b0BuBsmmHKn7Z9eb/jiIiIsgZyH4ztM4EzB3HsiBhd7UN0u2NOa2Y41HQn/9JBB7CBEn9EzCrVVDC2q/4Hl/ijJrWvmbJw4cIqW2EzTTUVTERE1KWKCkbS/pJ+KmmVpKMGHc9EJO0s6ZuSrpB0uaQ3tdu3lnSupJ+13x856FjHImljSZdKWtE+ryb2iBgOQ1/BdM1ddgCwG/BiSbsNNqoJ3Q28xfYTgD8BXt/GfBRwnu35wHnt82H1JuCKruc1xR7TpNNVVmt3WaerLN1lgzH0FQwVzl1me43tS9rHt9D8o96RJu5l7duWAc8fSIATkLQT8DzgU12bq4g9IoZHDRXMaHOX7TigWCZN0jzgqcD3gO1tr4GmEgLmDDC08ZwIvBW4t2tbLbFHITW3ZCCJ/0GooYLpae6yYSRpc+C/gSNt/3bQ8fRC0kJgre2Vg44lIupWw5LJ1wA7dz3fCbh2QLH0TNJDaCqXz9r+crv5Oklzba+RNBdYO7gIx7Q3cJCkA4FNgS0knUIdsUfEEKmhBXPf3GWSHkozd9nyAcc0LjWz+50EXGH7A10vLQcWt48XA6f3O7aJ2D7a9k6259Gc62/YPowKYo/+SFdZ9GroWzCVzl22N3A4cJmk77fb/hE4DjhV0hHAVcAhgwlvSmqOPSIGYOgrGKhv7jLb32H03BHAvv2MZUPYPh84v318AxXFHuVl7rKYSA1dZBERUaFUMBERUUQqmIjYYEn8x2hSwURUaCbMdxczXxVJ/oh4kM58d5dIegSwUtK5wMto5ow7rp0Y9ijgbf0KKon/6JYWTESFap/vLmYH2VXMujJ0JG1DM6swwB8A9wDrgF2Bz9h+XYFjHgn8xvZnJD2eZuJPAy+w/fPpPt4k4vo88C+2fzaoGGazdr67bwG7A1fZ3qrrtRttj9tNJqnqfwL5HzZYklbaXjDaa+kim6L2vpCnAEg6FrjV9vGljidpE+AVwNPaTc8HTrd9zHrvE80Hh3vpn4/TTI75qj4eM3jwfHfNr7+n/ZYAS0rGFpEusmkmaZ+uRbqOlbRM0jmSVkv6K0nvk3SZpK+185UhaQ9JF0haKensdq6v9T0buKSd2eBA4EjglW2id16b7P0YcAmws6SPSxppE8Bv74pvtaR3S7qwff1p7TF/Luk1Xe/7B0kXS/phZ39Jm0n6qqQfSPqRpBe2b/828Jy2Eow+GW++u/b1MeeMs73U9oKxPnlGTIf8QyjvscCzaBZLuxD4a9tvlXQa8DxJXwU+DBxse137T/tdNK2VbnsDK6GZ2UDSJ2hbTW0XyR8CL+90zUn6J9u/aRdsO0/SH9n+YVvW1bb3knQCcHJb9qbA5cAnJO0HzKdZi0fAcknPALYDrrX9vPYYW7bx3CtpFfDkToxRVg/z3R1Hj3PG7bHHHoyMjBRLancS57UmzTtx1zhoYdBSwZR3lu27JF1GM5fa19rtlwHzaCqG3YFz2+6NjYE1o5QzlweuMLm+X9q+qOv5oW03yCbtvrsBnQqmM1noZcDmbZL4Fkm/l7QVsF/7dWn7vs1pKpxvA8dLei+wwva3u463FtiBVDD9MhPnu4sZJhVMeXfAfZ/y7/L9Gcl7ac6/gMtt7zVBObfTtDLGclvngaRHA38P/LHtGyWdvN6+d3TFcEfX9u6Y3mP7k+sfRNIewIHAeySdY/sd7UubtjFGH5SY7670EN3ahwDXPgR7EJKDGbyfAttJ2guafnVJTxzlfVfQjFDrxRY0Fc7NkrYHDphkTGcDr2gTyEjaUdIcSTsAv7N9CnA89w84AHgcTRdbRASQFszA2b5T0guAD7U5jU1olixe/5/1WcB/9ljmDyRd2pZxJfDdScZ0jqQnABe23Xa3AofRVHD/Jule4C7gtQBtJXZ7Z0nliAjIfTBVaQcGvHXY7jeR9HfAb22fNOhYYvIWLFjgkZGRUV+bjq6s8bqTSpc/HcaLMV1l498Hky6yuhxFk7AfNjdx/93jERFAusiqYvunNDmboWL7PwYdQ5SRxP/4kvgfX1owERFRRCqYiOhJ6TVTal+TpfY1cUpIBRMREUWkgomIiCJSwUTEpKSrbHzpKrtfKpiIiCgiw5QjYkoyhHl8GcKcFkxERBSSCiYiIopIF1lEIe0M2YcBf04zxc/twI+ArwKn2L55gOFNq9KLimXRsjqlBRNRgKSzgFfSLH2wP/cv+vbPNGvnnC7poMFFGFFeWjARZRxu+/r1tt0KXNJ+vV/Stv0Pq6wk/sc32xL/acFEFNCpXCRtJmmj9vHjJB0k6SHd74mYqVLBRJT1LWBTSTsC5wEvB04eaEQRfZIFxyIKknSJ7adJ+lvg4bbfJ+lS208ddGwd4y04FtCu6lpM7f+Ds+BYxOCoHU32NzSjxyC5z5gl8oceUdaRwNHAabYvl/QY4JuDDemBbr75ZlasWFEs6Vx6iG7p8s8444wi5XbUfn7GkwomoiDbFwAXSNqsfX4l8MbBRhXRH6lgIgpqu8dOAjYHdpH0ZODVtl832MgerPQQ2trLL20mnp/kYCLKOhH4C+AGANs/AJ4xyIAi+iUVTERhtq9eb9M9Awkkos/SRRZR1tWS/hSwpIfS5F+uGHBME6o98Vz73F8z5fykBRNR1muA1wM7AtcAT2mfR8x4M6YFI+kfgcfYfuU0l7sPzcy3O01nuesd4yzg87aXlTpG17FWA6+0/fXSxyqt1O98OrXTwfzNoOOYqtoTz0n8D7b8qioYSS8B3gw8HrgF+D7wLtvfsf3uQcbWK0nHArvaPqyzzfYBg4to+PRaqdfwO5f0aOBvgXl0XW+2M5NyzHjVVDCS3gwcRdPlcDZwJ8006AcD35lg301s3108yCE57mxQ0bn9Cs0w5TOAewcbSkR/VZGDkbQl8A7g9ba/bPs223fZPsP2P7TvOVbSKe3jeZIs6QhJVwHfaLe/StIVkm6R9GNJT2u3W9KuXcc7WdI7x4jlKEk/7yrjL7tee5mk70o6QdJvgGPX23d/4B+BF0q6VdIP2u3nS3rlKGXcJOlKSX/abr9a0lpJi7vKfJik4yVdJek6SZ+Q9PAez+ueki5sj7NG0kfaRHTn9f0k/VTSzZI+JumCTpyjlHWspC9KOqU9N5e1swcf3cZ8taT9ut7/8q7fxZWSXt1u3ww4C9ihPUe3StqhLf9Lbfm/BV623u/8hW05W7TPD5D0a0nb9XIuCvq97Q/Z/qbtCzpfA45pSlasWFF0ivzayy+txvNTRQUD7EWzSNNpk9zvmcATgL+QdAjNP/yXAlsAB9HemzBJP6dZoXBL4O3AKZLmdr3+dOBKYA7wru4dbX8NeDfwBdub237yGMd4OvBDYBvgc8DngT8GdqVZIfEjkjZv3/te4HE0yeNdaZLJ/9rjz3IP8HfAtjTneF/gdQBq1ir5Es00J9sAPwX+dILyFgH/CTwSuJSmpblRG9M7gE92vXctsJDmd/Fy4ARJT7N9G3AAcG17jja3fW27z8FtTFsBn+0+sO0vABcCH5K0DU2r4ZW21/V4Lkr5oKRjJO0l6WmdrwHHFNEXtVQw2wDXT6FL5Ni2tXM7zeqC77N9sRurbP9ysoHY/qLta23f2/5T+xmwZ9dbrrX9Ydt3t8edil/Y/g/b9wBfAHYG3mH7Dtvn0HQP7ipJwKuAv7P9G9u30FRgL+rxZ1lp+6I21tU0FcAz25cPBC5vW4x3Ax8Cfj1Bkd+2fXb7/i8C2wHH2b6LppKcJ2mr9thftf3z9ndxAXAOTcU9ngttf6U996Od29cDzwbOB86wPQwfV59E8zs6Dnh/+3X8QCPaQDV+ku5n+aXVdH5qycHcAGw7hX737hvcdqZpfWwQSS+lGWgwr920OU0LYLRjTtV1XY9vB7C9/rbNaf6B/z9gpe6fUlzAxm2sZ3H/P+1X237Ap35JjwM+ACxoy9kEWNm+vEP3z2Lbkq6ZZNzXt5XkfT9HG/dNkg4AjqFpfW3UHv+yCcof99zavknSF2l+P389QVn98pc0I93uHHQgEf1WSwvmQuD3wPMnuV/3QgtXA48d432/o/kH1/EHo71J0qOAfwfeAGxjeyvgRzT/1Ec75kQxbajraf5xP9H2Vu3XlrY3h2Z0Wlc302dH2f/jwE+A+ba3oMkPdX6WNcB9o7ja1tK0DNWW9DDgv2k+yW/fnsczu4491jka99xJegrwCuC/aFpcw+AHNF16EbNOFS0Y2zdL+lfgo5LupulOuQt4DvAs22/toZhPAR+Q9B2aNdEfC9zVdpN9H3iJpMuB59J0E422AtNmNP/k1kGTqAZ2n+SPcx3wXEkb2d6gUUW275X07zT5izfYXqtm5cTdbZ/dQxGPAH4L3Crp8cBraX82mrVLPiLp+cAKmtF7o1a8U/BQ4GHtse5uWzP70VTW0JyjbSRtafvmXgqUtClwCk0l+WlgRNLrbH9smmKequ2Bn0i6GLijs3EmDFOu/R6N3CNTvvxaWjDY/gBN18c/0/xjupqmJfGVHvf/Ik3S/XM099B8Bdi6fflNNAnqm2huihu1TNs/pulDv5Dmn+CTgO9O8kf5Yvv9BkmXTHLf0bwNWAVc1I6u+jrwhz3u+/fAS2jOx7/T5HuA+24QPAR4H00X5W40le4dDy5mctpc0RuBU4Eb2xiWd73+E5pWyJXtCLcdeij2PcA1tj9u+w6awRDvlDR/Q+PdQMfQdJO9m/tzMO8faEQRfZIlk6Mnkjaimerkb2wP1YJZsWHmz5/vE044YVrKGu2T7nQmpGsvv7RBnB9lyeSYCkl/IWmrNmfSyc9cNOCwqiLpTyRd3N7Pc6eke9qWZsSMV0UOJgZmL5ouxYcCPwaevwFDr2erj9AMG/8izWi9lwJFu+3aG3o/SDOa8FO2jyt5vG415AUGWX5pw3Z+UsHEmGwfy3qzEcTk2V4laeN2yPZ/SPqfUseStDHwUZrBKtcAF0ta3uYPI/oqFUxEWb9rp9/5vqT30Qz/3qzg8fYEVtm+EkDS52lmQEgFE32XCiairMNpcp1voJmWZ2fK3gS6Iw+8IfUamqmHxrRq1SoWLVpUMKSYraqoYLbcckvPmTOnZPkA3HxzT7dczLrySysd/6pVq6633fdJL9vuqne1SzP8nmbuuuKHHWXbg4aKSloCLCkfTsxmVVQwc+bMYbqGUY6mk6wqNRyx9vJLKx3/okWLJj3n3HSwfY+k7SQ9tI9TxVxD00rq2Am4dv032V4KLAVYsGCBR0ZGqv37rL380vpwfY35WhUVTL90j4oo8cuovfzSao9/DKuB70paDtzW2djeOFzCxcB8NQud/YpmBNtLCh0rYlypYCLKurb92ohmap6ibN8t6Q00SyVsDHza9uWljxsxmlQwEQVI+k/bhwM32f5gP49t+0yayUMnpfYWdu3llzaI+HMn/xgWLlxY9Ear2ssvrfb4gT3a2bdfIemRkrbu/hp0cBH9kBZMRBmfAL4GPIZmjZ31l3R4zCCC6lXtifPayy+tX/GngplA7c3uNOsHw/aHaJZv/rjt1w46nohBSAUTUYCkzW3fOl7l0nlPP+OarNo/ANVefmml408OJqKM0yW9X9IzJN03NYykx0g6QtLZwP4DjC+iuLRgJqH2ft30G/eP7X0lHQi8Gthb0iOBu4Gf0qwWutj2rwcZY0RpqWAiCpnqcOFhVfsHoNrLL61E/Okim4LahxjXPgS49vgjZotUMBExKbV/AKq9/NKmM/50kW2A2keoZARMRJSUCiaioDHu2r/F9l19Dyaiz1LBRJR1Cc30+TfS3M2/FbBG0lrgVbZXDjC2DVJ7C7v28kubjviTg5kmtffrpt+4mK8BB9re1vY2wAHAqcDrgI8NNLKIwlLBRJS1wPbZnSe2zwGeYfsi4GGDC2t61f4BqPbyS5tq/EW7yCStBm4B7gHutr2g7ZP+AjCPZjGmQ23fWDKOfqq92Z1m/bT7jaS3AZ9vn78QuLFdTvnewYUVUV4/WjDPsv0U2wva50cB59meD5zXPo+YqV5Cs2zxV4DTgV3abRsDhw4urIjyBpHkPxjYp328DDgfeNsA4ogozvb1wN+O8fKqfsbSD7W3sGsvv7TJxl+6gjFwjiQDn7S9FNje9hoA22skzZmokFWrVrFo0aJyQdpFyi3d59qv8iVN8M4NU+v574Wk7YC3Ak8ENu1st/3sgQUV0ScqdXEDSNrB9rVtJXIuzSe55ba36nrPjbYfOcq+S4Al7dM9igVJuX9wM0WtFUyHpJVdXbR9Jekcmpzj3wOvARYD62wPTat9wYIFHhkZGXQYs9ZMvr6KtmBsX9t+XyvpNGBP4DpJc9vWy1xg7Rj7LgWWwv0XQI1NSri/KVnqE3Xp8jt/oLWe/wHbxvZJkt5k+wLgAkkXDDqoiH4oVsG0a2BsZPuW9vF+wDuA5TSf4o5rv59eKoaIIdC5Y3+NpOcB19Ik/WOa5APc8CrZgtkeOK1t/m0CfM721yRdDJwq6QjgKuCQXgusPUHWHXOJP9bS5dd+/gfknZK2BN4CfBjYAjhyoBFF9EmxCsb2lcCTR9l+A7BvqeNGDBPbnZr4ZuBZAJKOHFhAEX2Uucgi+u/NwImDDmKmSQ/B8Kl2qpjap15YsWJF0T+i0uXXfv4HrOywoYghUW0FE1GxjIsvLB/ghkP1XWS1NyvTrJ+ZJN3C6BWJgIf3OZyIgai+gokYRrYfMegYIgYtFUxEzFjpIRisGZWDqb3fMv3GETGTzKgKJiJiLPkA138zsoKp8RfRLRdCRMwEM7KCiYiIwZvRSf7aE2RJUEZMv9onx+yUW8M1lRZMREQUMaNbMBERY0kPQXmzpgVTe+I5if+IqM24LRhJewGHAX8OzAVuB34EfBU4xfbNxSOMiCgseZkyxqxgJJ1Fs/re6cC7aJY23hR4HM26FqdL+oDt5eMdQNLGwAjwK9sLJW1Ns0b5PGA1cKjtGzf8R+lNDc3K8aRZHxG1GK+L7HDbR9hebvta23fbvtX2Jbbfb3sf4H96OMabgCu6nh8FnGd7PnBe+zwiImaYMVswtq8HkLQZcLvteyU9Dng8cJbtuzrvGYuknYDn0bSA3txuPhjYp328DDgfeNsG/AwRs4qkfwMWAXcCPwdebvum9rWjgSOAe4A32j57UHHWKD0E06uXUWTfAv5c0iNpWhwjwAuBv+lh3xOBtwLdM8tub3sNgO01kuZMKuJp1K+k86JFi/pynFLsMsuXJOk/ZecCR9u+W9J7gaOBt0naDXgR8ERgB+Drkh5n+54BxhqzWC8VjGz/TtIRwIdtv0/SpRPuJC0E1tpeKWmfyQYmaQmwBGCXXXaZ7O4RM5btc7qeXgS8oH18MPB523cAv5C0CtgTuLDPIfZVPsCNbhg+wPVUwbSjyf6Gpund6357AwdJOpBmcMAWkk4BrpM0t229zKUZPPAgtpcCSwEWLFhQdAXA0iM8zjjjjCLldpQeQVL7CJsZ7hU0g2YAdqSpcDquabdFDEQv98EcSdMEP8325ZIeA3xzop1sH217J9vzaJrt37B9GLAcWNy+bTHNKLWI6CLp65J+NMrXwV3v+SfgbuCznU2jFDXqhzNJSySNSBpZt27d9P8AEfTQErF9AXBBm+zH9pXAGzfgmMcBp7ZdblcBh2xAWdOqdAKutNIJvtoToDWx/ZzxXpe0GFgI7Ov7+1iuAXbuettONLcajFZ+33oISuv8+KVa8OkhmLoJWzCS9pL0Y9qhxpKeLOljkzmI7fNtL2wf32B7X9vz2++/mVLkEbOUpP1pRl4eZPt3XS8tB14k6WGSHg3MB/53EDFGQG+5lBOBv6D548X2DyQ9o2RQETGujwAPA86VBHCR7de0XdinAj+m6Tp7/WwaQVa6BZ8egsnrabJL21e3f8gdM/6PtvbEc5r1M5ftXcd57V00951FDFwvFczVkv4UsKSH0uRfrphgn4iIgSn9ASsf4HrTSwXzGuCDNMMdrwHOAV5fMqhhUnviOc36iBiUXkaRXU9vd+1HRETcZ8IKph2N8rc0sx/f937bB5ULKyJiwyXxP9jye+ki+wpwEnAGcO+0R1CR2hPP6TeOiH7qpYL5ve0PFY8kIqKgJP77X34vFcwHJR1Dk9y/o7PR9iXTFkVlav8knQshIvqhlwrmScDhwLO5v4vM7fOIiIhR9VLB/CXwGNt3lg6mNrUPoU2CMmajdJX1r/xeZlP+AbDVBh8pIiJmlV5aMNsDP5F0MQ/MwWSYckRUK0OYy5ffSwVzzJRKnmVqTzynWR8R063X9WAiIiImpZc7+f8E+DDwBOChwMbAbba3mGC/TYFv0UwrvgnwJdvHSNqaZonXecBq4FDbN27AzzBUak88p1kfs1ES/2XK7yXJ/xHgxcDPgIcDr2y3TeQO4Nm2nww8Bdi/rayOAs6zPR84r30eEREzTK/rwayStHG7eNF/SPqfHvYxcGv79CHtl4GDgX3a7cuA82lW54uIGKgk/qe3/F4qmN+168B8X9L7gDXAZr0EI2ljYCWwK/BR29+TtL3tNQC210ia00tZJS1atGjQIWyQ+5dkn16dP6D1FpuLiOhJLxXM4TRdaW8A/g7YGfjrXgpvWzxPkbQVcJqk3XsNTNISYAnALrvs0utuERHTonQObzZ8gBu3gmlbIO+yfRjwe+DtUzmI7ZsknQ/sD1wnaW7bepkLrB1jn6XAUoD58+d7xYoVxX7hZ5xxRpFyO0on+ErrtJBqTYDW3kKNqNW4Sf62BbJd20U2KZK2a1suSHo48BzgJ8ByYHH7tsXA6ZMtOyIihl8vXWSrge9KWg7c1tlo+wMT7DcXWNa2gjYCTrW9QtKFwKmSjgCuAg7pNdjah6CWTvCVVnsCNGIYzeQegl4qmGvbr42AR/R6UNs/BJ46yvYbgH17LSciIuo0ZgUj6T9tHw7cZPuDfYwpImLWmYk9BOPlYPaQ9CjgFZIeKWnr7q++RDeOFStWVN2NsnDhwiq7+TpKx1/7+YmI8bvIPgF8DXgMzb0s3WPp3G6PiIgY1ZgVjO0PAR+S9HHbr+1jTJOSxP9gzcRmfcSg1T43WseYXWSSNgcYr3LpvCciImJ943WRnS7p+zT3qay0fRuApMcAzwIOBf4d+FLpICMiZqPaewjG6yLbV9KBwKuBvSU9Ergb+CnwVWCx7V9Pe0QboPZFp2q/43+mNOsjYnqMex+M7TOBM/sUS0REzCC9rAdTnQxhHqwMYY6YfjVeVzOygomIiMHracGxWmUI82DVnqCMGEY15TonrGDGuGv/Ftt3bfDRIyJixuqlBXMJzSJjN9Lczb8VsEbSWuBVtleWCy8iIkZTQw9BLzmYrwEH2t7W9jbAAcCpwOuAj03pqAOQxP9g1ZigjIgN00sFs8D22Z0nts8BnmH7IuBhxSKLiIiq9dJF9htJbwM+3z5/IXBju5DYvWPtJGln4DPAH7TvW2r7g21O5wvAPJrFzA61feOUf4JJSuJ/sGpo1kfUZlgT/720YF4C7AR8hWbamF3abRvTTBczlruBt9h+AvAnwOsl7QYcBZxnez5wXvs8IiJmmAlbMLavB/52jJdXjbPfGmBN+/gWSVcAOwIHA/u0b1sGnA+8reeIIyJiVMPWQ9DLMOXtgLcCTwQ27Wy3/exeg5I0j2b55O8B27eVD7bXSJoz0f6rVq0ad93nYddZc3u61djF1610/LWfn4lI+nvg34Dt2g+CSDoaOAK4B3hjd/40ot966SL7LPAT4NHA22nyJhf3eoB2Sv//Bo60/dtJ7LdE0oikkV73iZgt2hznc4GrurbtBryI5sPg/sDH2lxpxED0kuTfxvZJkt5k+wLgAkkX9FK4pIfQVC6ftf3ldvN1kua2rZe5wNrR9rW9FFgKsGDBAo+MjAxdAmtY1D6LdO3xD8gJND0Lp3dtOxj4vO07gF9IWgXsCVw4gPhiwIahh6CXFkznjv01kp4n6ak0Sf9xSRJwEnCF7Q90vbQcWNw+XswDL5CImICkg4Bf2f7Bei/tCFzd9fyadttoZdzXQ7Bu3bpCkcZs10sL5p2StgTeAnwY2AI4sof99gYOBy5rFy4D+EfgOOBUSUfQNO8P6TXYYUtgDZvah2DXHv90kvR1miH+6/snmutov9F2G2XbqAnA9XsIphhmVGCQPQS9jCLrXPU306xkiaQje9jvO4z+Bw+wb4/xRcxKtp8z2nZJT6LJh/6g6SRgJ+ASSXvStFh27nr7TsC1hUONGNNUZ1N+M3DiNMYRET2wfRlw38hLSatpZtu4XtJy4HOSPgDsAMwH/ncggcbQGUQPwVQrmLFaJn0zrHeuDovaE+e1xz8Iti+XdCrwY5obnV9v+54BhxWz2FQrmPTZRgwB2/PWe/4u4F2DiSbigcasYCTdwugViYCHF4tokpL4H1/tifPa448YRv3qIRizgrH9iKJHjoiIGW1GL5kcERFjK91D0MuNltXIolbjq33Rtdrjj5htZlQFExERw2NGVjBpyYyv9pZA7fFHDKMS19WMrGAiImLwZnSSP0OYx1f7EODa448YRtM5hDktmIiIKCIVTEREFDGju8i6Ze6y8dU+91ft8UcMm+nogk4LJiIiiijWgpH0aWAhsNb27u22rYEvAPOA1cChtm8sFcNokvgfX+2J89rjjxhGU+0hKNmCORnYf71tRwHn2Z4PnNc+j4iIGahYC8b2tyTNW2/zwcA+7eNlwPnA20rFEBER02eyPQT9TvJvb3sNgO01kuZMtENJpbtQ+tVFs2jRoqLl22WX/ykdf0QMxtAm+SUtkTQiaWTdunWDDiciIiap3y2Y6yTNbVsvc4G1Y73R9lJgKcD8+fO9YsWKYi2C0kNcS5d/xhlnFCm3o/b400KK2WyQf//9bsEsBxa3jxcDp/f5+BER0Sclhyn/F01Cf1tJ1wDHAMcBp0o6ArgKOGQyZZYeglp7+aXVHn/EbNTJoZa6bWK8FlLJUWQvHuOlfUsdMyIihsfQJvkjIqJu1c5FVntivva5s2qPP2K2GcQsI2nBREREEdW2YDpqT8zXnjivPf6I2ahfs7+nBRMREUVU34KJiIipKZ2XmVEtmBUrVhRt8tVefmm1xx8R02tGVTARETE8ZmQFU3tLo/aWQO3xR8xGCxcunPaBOjOygomIiMGb0Un+2ocY1z4EuPb4I2aj6RzCnBZMREQUkQomIiKKmNFdZN1qn1us9rm/ao8/YraZjntk0oKJiIgiBtKCkbQ/8EFgY+BTto/r17FrT8zXnjivPf6I2Wiqif++t2AkbQx8FDgA2A14saTd+h1HRESUNYgusj2BVbavtH0n8Hng4AHEERERBQ2ii2xH4Oqu59cATx9vh1WrVo277nNERJQ32cT/ICoYjbLND3qTtARYUj6ciIgoYRAVzDXAzl3PdwKuXf9NtpcCSwEkrQNuA67vR4CFbEviH5RHDTqAYbZy5cpbJf100HFsoJr/Pjtq/RnGvL5kP6jxUJSkTYD/A/YFfgVcDLzE9uUT7Ddie0EfQiwi8cewmgm/2/wMw6nvLRjbd0t6A3A2zTDlT09UuURERH0Gch+M7TOBMwdx7IiI6I+a7uRfOugANlDij2E1E363+RmGUN9zMBERMTvU1IKJiIiKVFHBSNpf0k8lrZJ01KDjmYiknSV9U9IVki6X9KZ2+9aSzpX0s/b7Iwcd61gkbSzpUkkr2ufVxB69qe26gplxbXXMhmts6CuYSucuuxt4i+0nAH8CvL6N+SjgPNvzgfPa58PqTcAVXc9rij0mUOl1BTPj2uqY8dfY0FcwVDh3me01ti9pH99C80e0I03cy9q3LQOeP5AAJyBpJ+B5wKe6NlcRe/SsuusK6r+2OmbLNVZDBTPa3GU7DiiWSZM0D3gq8D1ge9troLlQgDkDDG08JwJvBe7t2lZL7NGbqq8rqPba6jiRWXCN1VDB9DR32TCStDnw38CRtn876Hh6IWkhsNb2ykHHEkVVe11BnddWx2y6xmpYMrmnucuGjaSH0FwAn7X95XbzdZLm2l4jaS6wdnARjmlv4CBJBwKbAltIOoU6Yo/eVXldQdXXVsesucZqaMFcDMyX9GhJDwVeBCwfcEzjkiTgJOAK2x/oemk5sLh9vBg4vd+xTcT20bZ3sj2P5lx/w/ZhVBB7TEp11xXUfW11zKZrbOhbMJXOXbY3cDhwmaTvt9v+ETgOOFXSEcBVwCGDCW9Kao491lPpdQUz89rqmAk/wwPkTv6IiCiihi6yiIioUCqYiIgoIhVMREQUkQomIiKKSAUTERFFpIKJiIgiUsFMkaRtJH2//fq1pF+1j2+V9LFCxzxS0kvbx49vj3eppMeWON4k4vq8pPmDjCFmllxfD4ir2usr98FMA0nHArfaPr7gMTYBLgGe1t4kdxTwcNvHrPc+0fxe7x2tnEKxPRM4zPar+nXMmD1yfdV7faUFM80k7dO1gNCxkpZJOkfSakl/Jel9ki6T9LV2TiUk7SHpAkkrJZ3dzkO0vmcDl7R//AcCRwKvbBdfmtcuwPQxmotkZ0kflzSiZlGmt3fFt1rSuyVd2L7+tPaYP5f0mq73/YOkiyX9sLO/pM0kfVXSDyT9SNIL27d/G3hOe5FGFJPrqy6pYMp7LM26DwcDpwDftP0k4Hbgee1F8GHgBbb3AD4NvGuUcvYGVgLYPhP4BHCC7We1r/8h8BnbT7X9S+CfbC8A/gh4pqQ/6irratt70fzhngy8gGbxpncASNoPmE+zZshTgD0kPQPYH7jW9pNt7w58rY3nXmAV8OQNOVERU5Dra4hVVyNW6Czbd0m6jGbOp6+12y8D5tH84e4OnNu0vtkYWDNKOXN54Op36/ul7Yu6nh8qaQnN73guzaqFP2xf60xqeBmwebtw0y2Sfi9pK2C/9uvS9n2b01wQ3waOl/ReYIXtb3cdby2wA+1FGtEnub6GWCqY8u6A5lOIpLt8f9LrXprzL+Dy9hPPeG6nmdp7LLd1Hkh6NPD3wB/bvlHSyevte0dXDHd0be+O6T22P7n+QSTtARwIvEfSObbf0b60aRtjRD/l+hpi6SIbvJ8C20naC5q1LiQ9cZT3XQHs2mOZW9BcEDdL2p5m3fXJOBt4hZpFnZC0o6Q5knYAfmf7FOB44Gld+zwOqGE23phdcn0NUFowA2b7TkkvAD4kaUua38mJPPiP6SzgP3ss8weSLm3LuBL47iRjOkfSE4AL226FW4HDaC7Af5N0L3AX8FqA9iK7vbPca8SwyPU1WBmmXBFJpwFvtf2zQcfSTdLfAb+1fdKgY4mYqlxf0y9dZHU5iiahOGxuApYNOoiIDZTra5qlBRMREUWkBRMREUWkgomIiCJSwURERBGpYCIioohUMBERUcT/B1v18CyfVpZSAAAAAElFTkSuQmCC\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 scipy import ndimage\n", "from matplotlib import pyplot as plt\n", "import matplotlib\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", "%matplotlib inline\n", "\n", "def compute_time_lag_representation(S, circular=True):\n", " \"\"\"Computation of (circular) time-lag representation\n", "\n", " Notebook: C4/C4S4_StructureFeature.ipynb\n", "\n", " Args:\n", " S (np.ndarray): Self-similarity matrix\n", " circular (bool): Computes circular version (Default value = True)\n", "\n", " Returns:\n", " L (np.ndarray): (Circular) time-lag representation of S\n", " \"\"\"\n", " N = S.shape[0]\n", " if circular:\n", " L = np.zeros((N, N))\n", " for n in range(N):\n", " L[:, n] = np.roll(S[:, n], -n)\n", " else:\n", " L = np.zeros((2*N-1, N))\n", " for n in range(N):\n", " L[((N-1)-n):((2*N)-1-n), n] = S[:, n]\n", " return L\n", "\n", "ann = [[0, 9, 'A'], [10, 19, 'B'], [20, 29, 'A'], [30, 39, 'B'], [40, 49, 'B'], [50, 59, 'A']]\n", "S = libfmp.c4.generate_ssm_from_annotation(ann, score_path=1, score_block=0.3)\n", "N = S.shape[0]\n", "L = compute_time_lag_representation(S, circular=False)\n", "L_circ = compute_time_lag_representation(S, circular=True)\n", "\n", "plt.figure(figsize=(5, 5))\n", "\n", "ax1 = plt.axes([0, 0.6, 0.4, 0.4]) \n", "ax2 = plt.axes([0, 0, 0.4, 0.4])\n", "ax3 = plt.axes([0.6, 0.0, 0.4, 0.8]) \n", "\n", "fig, ax, im = libfmp.b.plot_matrix(S, ax=[ax1], title='SSM', \n", " xlabel='Time (frames)', ylabel='Time (frames)', colorbar=None)\n", "\n", "fig, ax, im = libfmp.b.plot_matrix(L_circ, ax=[ax2], title='Circular time-lag matrix', \n", " xlabel='Time (frames)', ylabel='Lag (frames)', colorbar=None)\n", "\n", "fig, ax, im = libfmp.b.plot_matrix(L, ax=[ax3], extent=[0, N-1, -(N-1), N-1], title='Time-lag matrix', \n", " xlabel='Time (frames)', ylabel='Lag (frames)', colorbar=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following Exercise 4.13b of [Müller, FMP, Springer 2015], we consider a musical piece with structure $AB_1B_2$, where the $A$-part and $B_1$-part segments have the same length and the $B_2$-part segment has twice the length (played with half the tempo of $B_1$). Note that path structures in $\\mathbf{S}$ that are **not** parallel to the main diagonal become hard to interpret in the resulting circular time–lag representation $\\mathrm{L}^{\\!\\circ}$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:14.957623Z", "iopub.status.busy": "2024-02-15T08:52:14.957262Z", "iopub.status.idle": "2024-02-15T08:52:15.138838Z", "shell.execute_reply": "2024-02-15T08:52:15.138154Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ann = [[0, 9, 'A'], [10, 19, 'B'], [20, 39, 'B']]\n", "S = libfmp.c4.generate_ssm_from_annotation(ann, score_path=1, score_block=0.3)\n", "N = S.shape[0]\n", "L = compute_time_lag_representation(S, circular=False)\n", "L_circ = compute_time_lag_representation(S, circular=True)\n", "\n", "plt.figure(figsize=(5, 2.5))\n", "ax = plt.subplot(121)\n", "fig, ax, im = libfmp.b.plot_matrix(S, ax=[ax], title='SSM', \n", " xlabel='Time (frames)', ylabel='Time (frames)', colorbar=None)\n", "ax = plt.subplot(122)\n", "fig, ax, im = libfmp.b.plot_matrix(L_circ, ax=[ax], title='Circular time-lag matrix', \n", " xlabel='Time (frames)', ylabel='Lag (frames)', colorbar=None)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Structure Features and Novelty Function\n", "\n", "What have we gained by considering a time–lag representation of a self-similarity matrix? In the following, let $\\mathbf{S}^{[n]}$ denote the $n^{\\mathrm{th}}$ column of $\\mathbf{S}$ for a given time frame $n\\in[0:N-1]$. Recall that the vector $\\mathbf{S}^{[n]}\\in\\mathbb{R}^N$ reveals the kind of relations that exist for time frame $n$. In the case that $\\mathbf{S}^{[n]}(m)$ is large for some $m\\in[0:N-1]$, then time frame $n$ is related to time frame $m$. In the case that the value is small, the two frames are unrelated. In other words, $\\mathbf{S}^{[n]}$ reveals the global structural relations of frame $n$. The same interpretation holds for the $n^{\\mathrm{th}}$ column of the time–lag matrix ${\\mathrm{L}^{\\!\\circ}}^{[n]}$. However, there is a crucial difference between $\\mathbf{S}$ and $\\mathrm{L}^{\\!\\circ}$. In the case that two subsequent frames $n$ and $n+1$ have the same structural properties, the two vectors $\\mathbf{S}^{[n]}$ and $\\mathbf{S}^{[n+1]}$ are **cyclically shifted** versions of each other, whereas the two vectors ${\\mathrm{L}^{\\!\\circ}}^{[n]}$ and ${\\mathrm{L}^{\\!\\circ}}^{[n+1]}$\n", "are **identical**.\n", "\n", "Based on this observation, we define the **structure features** to be the columns $y_n:={\\mathrm{L}^{\\!\\circ}}^{[n]}\\in\\mathbb{R}^N$ for $\\mathrm{L}^{\\!\\circ}$, $n\\in[0:N-1]$. By this process, we have converted the original sequence $X=(x_0,x_1,\\ldots,x_{N-1})$ of features $x_n$ that capture local (acoustic, musical) characteristics into a sequence $Y=(y_0,y_1,\\ldots,y_{N-1})$ of features $y_n$ that capture global (structural) characteristics. As a result, boundaries of the global structural parts can be identified by looking for local changes in the feature sequence $Y$. There are many ways to capture such local changes. A simple strategy is to compute the difference between successive structure features based on a suitable distance function. For example, using the Euclidean norm of $\\mathbb{R}^N$, one obtains a **novelty function**\n", "\n", "$$\n", " \\Delta_\\mathrm{Structure}(n) := \\| y_{n+1}-y_n \\|= \\|{\\mathrm{L}^{\\!\\circ}}^{[n+1]}-{\\mathrm{L}^{\\!\\circ}}^{[n]}\\|\n", "$$\n", "\n", "for $n\\in[0:N-2]$. Again, by zero-padding one may assume $n\\in[0:N-1]$. The positions of local maxima or peaks of this function yield candidates for structural boundaries. The overall procedure depends on many design choices and parameter settings including the feature type used for the original sequence $X$ or the way $\\mathbf{S}$ is computed. Also, in practice, one often uses more involved derivative operators and applies suitable preprocessing steps (e.g., further enhancing the matrix $\\mathrm{L}^{\\!\\circ}$) and postprocessing steps (e.g., normalizing the novelty function $\\Delta_\\mathrm{Structure}$). Finally, the peak selection strategy may have a crucial influence on the final result. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation and Examples\n", "\n", "In the following code cell, we provide an implementation for computing the novelty function based on structure features. The result is shown for the synthetic example $A_1B_1A_2B_2B_3A_3$ introduced above. Note that, for this example, the peak positions of the resulting novelty function coincide with the (joint) start and end positions of path components, which in turn concur with boundaries of the musical sections." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:15.141774Z", "iopub.status.busy": "2024-02-15T08:52:15.141560Z", "iopub.status.idle": "2024-02-15T08:52:15.560543Z", "shell.execute_reply": "2024-02-15T08:52:15.559996Z" } }, "outputs": [ { "data": { "image/png": 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7ObVjjKP7GPD+ZCRy8ka5XPYY5DrkykDulols3dKPJMjCWHX7TdZxuhXXXcdpzER5gvKEe5Br0VEDWdL9wDgwBUya2QpJ2wLfB3YB7gfeZmZPdFIOx5kv3ZY3NS6uu07e6VXddZy54B7k+iThQX6lma2PLJ8AXG1mn5V0Qrh8fKMTrFmzhu2WLqWcc2+rJPoh9/1IgiyNVQ97odqmu4MdEK4ETADBG2QnDpKgHzr5D8nS/6OHdddxYlGJQTYzf6CsIo2rxyHAOeH3c4A3pSCD48RmwYIFdT89huuukytcbx2nMeVSEF7hmSy2pNNXCgOulLQmrNIDsEMlxUz4d/taB0o6WtJqSas7LKPj1KVRmekuf9p23XVyTY/qrePMiUoGC89ksSWdDrHY18wekrQ9cJWku+IeGK3qs2LFCrtm1apOydhRRkfCSWal4NXj+Pr1jQ/IKLP6Ue7MK9SsjlWPepzaqrsjg+1/pz9eKjEyNtb283YzZsb68fUMjrT//1EaLzE2kq3/R4/qruPExg3k+nTUQDazh8K/j0q6ENgbeETSMjN7WNIy4NFOyuA4rdKLN1nXXacb6EXddZy4TE1NMT09DbiBXIuOXT0kbS1ppPIdeB1wO0FVnyPC3Y4ALu6UDGkyOjLK6MgoG8c3snF8I+seW5e2SPMiiX5keawqxQbmG8so6QBJd0u6N5zYVr19saQfSbpF0h2SUk/i3+u663QHjXQ35vG5013HmQtRo9gN5C3ppAd5B+DCMN5rIfBdM1sl6UbgAklHAQ8Ab+2gDI7TMvONWZTUB3wVeC2wFrhR0iVm9tvIbu8Hfmtmb5C0FLhb0nfMLM2rleuu0xX0oO46TmzcQG5MxwxkM/sDsEeN9Y8Br+5Uu47Tblp4Tbs3cG+oC0g6nyATRPQma8CIgjv5IuBxYHL+0raO667TLfSa7jrOXIjmP3YDeUtyVUkv68xMMgM2jqefv3e+JNGPvIxV5TVtA8aqsjWsDCepAewEPBjZthZ4WdXxpxOELjwEjABvN7Pp1qR2HKeJ7jbSW3DddXoA9yA3xg1kx2lCEwN5vZmtqLOt1vvd6hQgfwfcDLwKeC5BxoifmVl2nxocJyc00N1Geguuu04P4AZyY9xAbgMVb2iWPaFxSKIfeRyrFvKmrgV2jiwvJ/A2RTkS+KwF5cfulXQf8BfAr+fbqOM4Aa67jlMfD7FojOfAcZwGtJjF4kZgV0nPljQAHErwSjbKA4RxvZJ2AF4A/KHN3XCcnqPFLBauu07X4x7kxrgH2XGaMN+JPmY2KelY4AqgDzjLzO6QdEy4/QzgP4GzJd1G8Fr3eDPLRoUUx8k5rruOUx83kBvjBvI8ycsks2b4hLzGxJik1xAzuwy4rGrdGZHvDxHkGXYcp4247jpOY9xAbowbyI7ThBbiGB3HSRHXXcepj8cgN8YN5DmSx0lmtfAJefHxcrWOk09cdx2nPqVSqeZ3J8ANZMdpQKuvaR3HSQfXXcdpjIdYNMYN5BjkOYY2iscbzw+/yTpOPnHddZz6eIhFY9xAdpwmeByj4+QT113HqY97kBsTy0CWtADYA9gRKAB3mNkjnRTMcbKAv6Z1nHziuus4jXEDuTENDWRJzwWOB14D3AOsA4aA50t6GvgGcE631p/vlklmPiGvNfwm6zj5xHXXcerjIRaNaeZB/i/g68D7wnKaM0jaHjgceBdwTmfEc5z08de0jpNPXHcdpz7uQW5MQwPZzA5rsO1R4NR2C5Q23TLJzCfktQd/Tes4+aQXdFfSWcDBwKNmtnuN7fsDFwP3hat+aGYnJSagk2ncQG5MrKuHpLdKGgm/f0LSDyW9JOaxfZJ+I+nScHlbSVdJuif8u838xXeczrNgwYK6n6wiaR9JX5V0q6R1kh6QdJmk90taHON411sn9+RNb+fB2cABTfb5mZntGX7cOHZm8BCLxsS9UvwfMxuXtB/wdwQhFV+PeewHgTsjyycAV5vZrsDV4bLjZJa8GciSLgfeC1xBcPNcBuwGfIJgDsHFkt7Y5DSut07uyZPezgczuw54PG05nHxSMYq3XrS1G8g1iJvmbSr8+3rg62Z2saRPNjtI0vLwmJOBD4WrDwH2D7+fA1xLMBEwVSRBP2ws5ztUIIl+dMtYxUFSHuMY32Vm66vWbQJuCj9flDRW7+A86W1SSKIfGOzAuUvAjB+nw41UTSXpanKqu51gH0m3AA8BHzGzO2rtJOlo4GiAnZcvT1A8Jy3K5TKSGB4adgO5BnEfpf8k6RvA24DLJA3GPPZU4KNANMvFDmb2MED4d/taB0o6WtJqSavXrVsXU0zHaT958yBXjGNJW4cpGpH0fElvlNQf3acOpzJPvQ3bct11MkGe9LZD3AQ8y8z2AL4CXFRvRzNbaWYrzGzF2HbbJSWfkyIT5QkGBgYYGBxwA7kGcT3IbyN4VXuKmW2QtAz490YHSKpMHFgTThSYE2a2ElgJsGLFio67PcyM9eONbIb5MTORrQRW7rz3JpF+dMlYxSHnE32uA/4mjBe+GlgNvB14R70DWtVbSF53k8DMGF+/npHB9rt3x0slRsYCh/768fUMjrS/jdJ4ibGRui8NupKc625bMLONke+XSfqapLEmD8hOj1AulwMDud8N5FrEMpDN7GlJjwL7EeRDngz/NmJf4I2SDiKIexyV9G3gEUnLzOzh0NB+dP7iO07nyfFNVqHuHgV8xcw+L+k3TY5xvXW6hhzrbluQ9AzgETMzSXsTvPl9LGWxnIxQLpfpH+inf6DfDeQaxM1icSJBvOHHwlX9wLcbHWNmHzOz5Wa2C3Ao8BMzeydwCXBEuNsRBCloHCezVGIZa30yjiTtQ+Ax/nG4rllqR9dbp2vIqd7GRtL3gF8CL5C0VtJRko6RdEy4y1uA28MY5C8Dh1bXNHB6l3Ip9CAPDFAqldIWJ3PEfbx+M/BG4CkAM3sIGJlnm58FXivpHuC14XLXMToyyujIKBvHN7JxfCPrHstnLGYS/cjyWFVe0+Y0lvE4gofaC83sDknPAa6Z57l6Qm+d7qGR7nYLZnaYmS0zs/7wwfZMMzvDzM4It59uZi80sz3M7OVm9ou0Za7GzPjESSfxu3uavZTuDBs3buT4Dx/PU089lUr7t91xB5/5whdSabsSYtHfn54H+fQvnc6vf/XrVNpuRtwrRTl86jQIJv/MpREzu9bMDg6/P2ZmrzazXcO/nqLGyTR5NZDN7Kdm9kbg9HD5D2b2r3M43vXWyTV51Nte48knn+TkU07hRz/+cfOdO8CvfvErzvrmWdx4442ptP+Diy7iM5//PMViMfG2sxBi8ekTP80Pzv9BKm03I+4kvQvCLBZLJP0T8I/ANzsnVj7plspyXoVvNnm9oYbhFWcCi4BnStqDoGz8v6QrmeMkQ151t5cohq/2iym94i8Vw/ZTMFAh0v9ikaGhoUTbnihPMDg4yODgYGoGcrFYpFhKZ+ybEXeS3imSXgtsBF4A/IeZXdVRyRwnA+Q8ZvFUgsI+lwCY2S2S/jZViRwnIXKuuz1DoVAA0jNQK+1X/qbZ/pIlSxJtOxpi8fSmpxNtG2BycpLJyUmKhWwayLEfr0OD+D+BTwNrJG3bMakcJ0O0EmIh6QBJd0u6V1LN6nOS9pd0s6Q7JP20nbKb2YNVq6Zq7ug4XUgrIRZp626vUAgN47QM1IpxlpqBnGL/KyEWAwPppHlL++GoGbE8yJLeB5wEFAiKB4ggHvk5nRMtP1TCBbIeKtCMJPqRx7Ga72taSX3AVwkmta0FbpR0iZn9NrLPEuBrwAFm9oCkugU45sGDkv4aMEkDwL8yu3y043Q1OdbdnqFiHKWVRaHSfmohFim2XykUklYMctrhLc2IG4P8EeCFnlzc6TVaLDawN3Cvmf0hPNf5BCWbfxvZ53Dgh2b2AICZtTO/8DHAacBOBDf5K4H3t/H8jpNZcq67PcOMBzUtA7XHPchbbbVVaoVCusKDDPweSD5AJcPkaZJZI3xCXnOaxDGOSVodWV4ZVpKDwDCNhjisBV5WdfzzgX5J1xKkTjzNzM5tTeKA8IG2btU8x+l2GuhuI72FlHW3l5jxIPegBzft9svlMouXLE7Ng7z5f5/NHMxxDeSPAb+Q9CtgpidzSRnlOHmliRdqvZmtqLOt1t25Okn/QmAv4NXAMPBLSTeY2e/mLGh149KzgQ8AuxDR9TD1m+N0PQ10t5HeQsq620vMTFLr1Ul6KXqQKyEWacUgV7z3efcgfwP4CXAbQQyy4/QELb6mXQvsHFleDjxUY5/1ZvYU8JSk64A9gHbcZC8iSPP2I1xvnR4j57rbMxTS9uCmHWKRooGedqGQtB9OmhHXQJ40sw91VJKckMdJZrXwCXnxaSFV1I3ArqEn908EpZsPr9rnYuB0SQuBAYLXuP893warKJrZl9t0LsfJHTnW3Z5hJsSgVyfpldKbqJZ2FotKaEVWy1zHNZCvkXQ0gScqGmLh1bScrme+Xigzm5R0LHAF0AecFZZ8PibcfoaZ3SlpFXArgZf3W2Z2e5tEP03SiQST86J6e1Obzu84mSbHutszzHiQezXNW4pe1LSzWMxM0stoHuS4BnLlyfljkXU9k+Yt75PMKviEvLnT4mtazOwy4LKqdWdULX8B+MK8G6nPXwHvAl7F5hALC5cdp6vJue72DO5BTteDPDAwMJPFwqw6zL6zzKR5y3klvWd3WhDHySo5Llf7ZuA5ZpZODVHHSZkc627P4DHI6XqQ+wf66R/ox8yYmkq2jlTUg2xmmat8GdeDjKTdgd2AmWLhntLG6QWyprRz4BZgCeD5WZ2eJMe62zOk7cFNe6JYmh7kUqk0k8Wispxo+6EHeXp6momJiRk5skLcSnonAvsTGMiXAQcCPwe62kDulklmPiFv/rT6mjZldgDuknQjs2OQPc2b0/XkXHd7hrQ9yGlXc0s9i8XgZgO5XC7PwW3aOtE+F4vFfBrIwFsI0tf8xsyOlLQD8K3OieU42SHHN9kT0xbAcdIkx7rbM/RyHuSpqamZyXFJtz81NcXU1NQsD3K5XKZvYV9iMkQn5xUKBUZHRxvsnTxxrx4FM5sGJiWNEryy7coJeqMjozOfjeMbc+sRTaIf3TJWjah4oep9soyZ/bTWJ225HCcJGumu017MjF123x2NjqLRUe68++7Yx1ZCDCYmJuYVA7v7LrszqlFGNco2C7fhec94Hoe/+XDu+8N9sY5v1YPcSt+jIQ3zab+Vvk9MTADMZLEA5pzJotWxj/Y5jfFvRtwrxWpJS4BvAmuAm4BfNzpA0pCkX0u6RdIdkj4Vrt9W0lWS7gn/btNKBxyn00iq+8kykl4u6UZJmySVJU1JavoU47rrdAt51Ns8ct311/PHBx6YWT7v/PNjH1v9mn2+HHDwAbz3X97L6OJRLr3oUj7w3g/Mqf35enDb1fdWPMjz6XvFGK5ksYiuS6J92NKDPB9aGf9mNDWQFVxNPmNmG8IUN68FjjCzI5scWgJeZWZ7AHsCB0h6OXACcLWZ7QpcHS47TmbJqwcZOB04DLiHoBTue8N1zXDddbqCnOpt7vj2978PwIv32AOA7/7P/8ROGVZs0Yta4d1HvZsvfPkLnHzKyQD87q54BQ1bzWKR175PlAMPciWLBczfQJ732BdbN5BbGf9mNI1BNjOTdBFBzXnM7P44J7ZAwk3hYn/4MeAQggl/AOcA1wLHxxe5M0iCfthYzneYQBL96JaxikPeJ/qY2b2S+sxsCvi/kn4R45hc6i6DHTh5CQjuIx1vIokcpN0yVnHIu+7mhVKpxA8uvhiAL558Mv/wznfyxwce4Lrrr+cV++3X9Ph2eVHPPfNcfvqTn3LNVdcA8MZ/iDcXuZUsGnnu+ywP8kBrHuT5jn2rbw9aHf9mxL163CDppXM9uaQ+STcTxCxfZWa/AnYws4cBwr/b1zn2aEmrJa1et27dXJt2nLaRYw/y05IGgJslfV7SvwFbxznQddfpBnKqt7ni0lWr2LBhA9svXcor9tuPgw84ANjs2WtGoQ1eRIBVl67iG1/5Br+763cMDg7y4r1eHOu4VjzIee571EDu72/Ng9zq2EM649+MuFeKVwK/lPR7SbdKuk3Src0OMrMpM9sTWA7sHeZSjoWZrTSzFWa2YunSpXEPmxMjo6OMjI6y3dKlmBnrHsvnzTzpfnTLWMUlrzHIBFX0FgDHAk8BOwP/EOfArOtuVXuse2zdzETRdn7WPbYOM8PMeGzdOsY3bmz757F16xKrYNVrY5VTvc0VFWPkDQceyIIFC3jzG94AwP9cdFGsvLrtmKgF8N0Lv8uT009y9Q1XMz09zfuPej/333d/7Pbn03ae+14xhvsH+lv2ILc69tXf49Lq+DejoYEsqVJB70DguQQlat8AHBz+jYWZbSB4HXsA8IikZeH5l+FFDJwMk9csFpL6gJPNrGhmG83sU2b2ITO7dy7ncd118opnseg8TzzxBJddeSUAZ557Lhod5e/f8Q4AnnzySX50+eVNz1EoFmceWlpNdSaJF+/1Yrbeemump6e57/eNsylUMmdIolAozOnhq119r8ideN/LrWexaKV9CDzI8/3ft2P8m9EsBvkHBLHHZ5nZq+dyYklLgQkz2yBpGHgN8DngEuAI4LPh34vnLHWLjIS59sY3BjG04ynVgG+VbulHEtQaq9GY3s083lDNbErSUkkDcy01nWXddZy5kEfdzRMXXHgh5XKZ0dFRXvk3fzOz/rd33cU9v/89551/Pm9505sanqNYLLJk8WKe2LChJS/quWeey3XXXMctN93Chg0b2Gqrrdj9RY1ffFWMssWLF7Nhw4Y5VXNrV98r7Sfd93ZmsZhP+xD0f/GSxWx4YsOcDeR2jH8zmhnIC8Iqes+X9KHqjWb2pQbHLgPOCT1ZC4ALzOxSSb8ELpB0FPAA8NZ5yu44iZDjm+z9wPWSLiEIsQCa6i247jpdQo51Nxd854ILAHjfkUfy+f/8z5n1P/35z9n/oIO4/KqreOyxx9huu+3qnqNQLLLtNtvwxIa5G0lRVl26CoAlS5awz3778PFPfZyl2zd2glRyIC/ZZgkbQgM9roHcrr4DbLNkSeJ9b2eIxXzah8CDvM2227Dhibk/HLVj/JvRzEA+FHhTuN/IXE5sZrcCW0Rqm9ljwJy80Y6TFjmPWXwo/CxgDvrruut0AznX3VhIOosg5PFRM9vCZRemaT0NOAh4GniPmd3UrvavW7Wq5vpX7LcftjFelqNischOy5bNfJ8rt99/+5yPqVAxSpcsWTKzHLeaW7v6Xml/w5NPxjomSit9b0eIRSvtQ/j2YJslwNxDLNox/s1oaCCb2d3A5yTdamatB3SkyEjkRz/epsFLg27pRxK0a6zy5oWSdJ6ZvQvYYGanpS2P46RF3nR3HpxNkNv83DrbDwR2DT8vA74e/s0MhWKRbSIGapLMeJDD9lsJc5gPhYiB/PCf/5xo2+1M8zZfioUi2z8jSIaU9NjHodkkvXdKWlDPOJb0XEmtJ5tznAyTw0l6e0l6FvCPkrYJK+DNfNIWznGSImd6O2fM7Drg8Qa7HAKcawE3AEsqE22zQqFQYJtttpn5nnTbAIu3WZxq+9ssXpz8w0E4Z6l/oH8mzVs7Mj/MhUKhMMt7nzWahVhsB/xG0hqCEtPrgCHgecArgPVkvJpW9eSsvNIt/UiCdo5VTl/TngGsAp5DoLfRDli43nG6mpzqbrvZCXgwsrw2XPdw9Y6SjgaOBth5+fJEhDMzSqXSjAc5cQ9ujRCLJImGWCTd90qIxeDgIIODQVmfpD3IpWKJrRdtzcKFC/NnIJvZaZJOJ0jvti/wIqAA3Am8y8weaHS843QDefM4mdmXgS9L+rqZ/XPa8jhOWuRNdztArSeEmrnMzGwlsBLgJXvumUhi7mJkkhqkF2KxeMniWfIkxUyIxeLFlEolpqenE2t7VqGQNqR5mw+FQoGh4SGGhocyGWIRp9T0FHBV+HGcniNvN1lJi8xsUyPjuLJPknI5TtLkTXc7wFqCAkEVlhNM3M0E1QZyL3qQJc1MDEwyxGFWFosW07zNl1KxxNDQEMNDw/nzIOeVbpnI1i39SIJOjVWl2EDOuDgsE30xsMbMngKQ9ByCqphvA75JkOfccbqSnOpuu7kEOFbS+QST856slIvPAhUP6uLR0bYUy5gr0TRvkI4HeWhoiKGhoWC5UID+ZNpud6GQuWJmMx7kwaHBfHqQHafXyVsco5m9WtJBwPuAfSVtA0wCdwM/Bo4ws2SnTDtOCuRNd+eKpO8B+wNjktYCJxKaWGZ2BnAZQYq3ewnSvB2ZjqS1qRjEw0NDDA8n70VM24NcKBRm+l5ZHuwfTKTtWSEW/ckbyBMTE0xPTzM8PMzQ0JB7kDtNt0xk65Z+JEESY9WKF0rSAQR5SPuAb5nZZ+vs91LgBuDtZtayZ9fMLiO4OTpOz5JH3Z0LZnZYk+0GvD8hceZMMQwpGBoaYnAweS9i2mneiqXSTN8r7Q+OJmsg9w/009fXR19fX6IGcmWsh4ay60GOdfWQtIOkMyVdHi7vFlbTcpyupvKadj7posJKdF8lyEW6G3CYpN3q7Pc54IoOdMFxepJGuhvjWNfdBJjxIA8PM5yCF3EmzduS9NK8DQ8NMRwNsUiIaIhF5W+iBnIhNJCHsxuDHPfx+myCC8CO4fLvgOM6II/jZI4W8iDvDdxrZn8wszJwPkFe0mo+APwv8Gh7JXec3qaFPMiuuwkw40EeHGRoKPlMBhUjLbVJeqXSTIgBJOvBjoZYVP6m5UEeGs53iMWYmV0g6WMAZjYpaaqDcsWmWyaydUs/kiDpsWoSxzgmaXVkeWWYLglq5yCdVcVK0k7AmwlSKb60dWkdx6nQQHcb6S247iZC1IOcRhxqNA9xdDkpCoXCzMNBZTkpKsbwwoULKVNO1YM8ODjIk0/MvdR2p4lrID8laTvC/ImSXg5krzeO02ZizIRfb2Yr6h1eY111ftFTgePNbKrdE4rqVM0bN7OJtjbkOBmkie420ltIWXd7hYoHeTjM5JCGB3nhwoVsvWhrID0P8nAKHuSJ8gQDAwMzD5FpeZCHh4cZGh7izw9lb954XAP5QwTpYp4r6XpgKfCWjkkVg26ZyNYt/UiCtMaqhYk+cXKQrgDODy9SY8BBkibN7KL5NhrhprD9Jwhu+EuAhyU9CvyTma1pQxuOk1lyrLs9QcUgHRoaYmhwMBUP8tDQEH19ffT396fiQR5ZtIjBlDzIlfAKSN5ArvR1cGiQocGcFgoBMLObJL0CeAHBjfZu90I5vUCLuVRvBHaV9GzgT8ChwOHRHczs2ZG2zgYubeMNdhVwoZldEZ7/dcABwAXA16h6Zew43UTOdbcniKZ5Gxoa4qmkDeRCkaHhwDhNJc1cscj2S5emMkmvXC7P5D+G9CbpVTzIuY1BDmfqHgTsEh7zOkmY2Zc6KJvjZIL5vj4NY/WPJZjg2gecZWZ3SDom3H5G+6SsyQozOyYiz5WSPm1mH5KUTC4hx0mRHOtuTxBN8zY8PMxjTzyRaPuFQmEmB3FaMdDDVWnekqISYlEhrRCLwaHB3OdB/hFQBG4DYhULl7QzcC7wjPCYlWZ2WhgX+X0CY/t+4G1mFksrumUiW7f0IwmyMFat5FKtlY+43s3VzN4z74Zq87ik4wlm4AO8HXgifOCtq8ed0F3HSYMc625PEPUgD6YUYjE4FBinw8PDqVXSS8ODXCqVZgxzgMHBwURLXc/yIKcQfx6HuAbycjN70RzPPQl8OAzPGAHWSLoKeA9wtZl9VtIJwAnA8XM8t+MkQs7L1R5OUFnrIoLQqJ+H6/oIyk3Xw3XXyT05192eYJYHOaVJeql7kIeHZ2KQk07zlmqIRQ0PclDXJjvENZAvl/Q6M7sy7onDeu8Ph9/HJd1JkDrnEILSmADnANfS5Ca7Zs0atlu6lHLOva2S6Ifc9yMJsjRWeb3Jmtl6gjyttbi3wXFt191OxHOUgJmJEP3QyUayduF24pFX3e0VZk3SS8lATd2DPDiYWqGQVEMsIh7kyv8gyfbjENdAvgG4UNICgnuSCKpYjjY+LEDSLsCLgV8BO4Q3YMzsYUnb1znmaODomPI5TsfIawonSUuBjwIvBIYq683sVXM4xy647jo5Ja+62ytUQgwkpWMgRzzIqUzSC2OgK6EOaWex2JigQ2p2FcXhmXV9iUnQnLiP118E9gG2MrNRMxuZg3G8iKDS0HFmFnv0zWylma1okqvScTpKK6WmM8B3gLuAZwOfIogbvjHuwa67Tp5ppdS0kwyVNGsQVNNLI81axXuZtIE+OTnJ5OQkQ4ODMw8IvRRiUSoG4TWDQ4Mz/4OsTdSL60G+B7jd5vieUVI/wQ32O2b2w3D1I5KWhR6oZcQo0bnXXntxzapVc2k6M4yOhM8RpeA17fj69ekKNE9m9aPcmdfNWR2rHN9QtzOzMyV90Mx+CvxU0k/jHNhu3R0ZbH/8w3ipxMjYGADrx9czONL+NkrjJcZGxtp+XicZcqy7PUEhzOIAMDQ8PGM0JkWpWJrlQR4fH0+s7WihjMrfXgqxmBVeM7w5BntRf3+jwxIlroH8MHCtpMsJovIAGqZ5U/Bu60zgzqr9LgGOAD4b/r14rkI7TpLk+DVtJUT3YUmvJyh0sLzZQa67TreQY93tCaIe5DSqyRUKhRnjLGkPcrSKYKX9pD3IlbGHdDzICxcuZOHChbNLbY+MJCZDM+IayPeFn4HwE4d9gXcBt0m6OVz3cYKb6wWSjgIeAN4aW9ocUfGGbhwP3kyXxpNLn9JOkuhHlscq5zPh/0vSYuDDwFeAUeC4GMf1tO463UHOdbcniHqQo3G4GkrmwaZULG020BOepBf1oFbaTzoGeWR0szGahgc5mkEEkn04ikPcSnqfmuuJzezn1K5nD/DquZ7PcdIirzdZM7s0/Pok8EoAScfFOM511+kK8qq7vUI9D3Jl0lanSdWDXAmxSMmDnHaIRalYmhX/DTmLQZZ0upkdK+lHwBaBp2b2xo5J5jgZoAu9UB8CTk1bCMfpNF2ou13HLA9yxEgaXpKMgVwsFFPz4BZCYzhND3LaMcgVD3JeJ+m9GzgWOCUBWXLPzCQzNocL5JEk+pGnseqyOMau6ozjNKLLdLfrKBQKbL311gCJ5wI2s8CDPZxuiMVwigZyqoVCCpGxD98Y5C3E4vcA4Qx4x+lJuswL5RUvnJ6hy3S36yiWSmy37bZA8nGo5XIZM9uikl5SRYFmJulF2n/qqacSaRvSD7GYleJvOIchFsBSSR+qt7FRFoteonqSWV5Joh95G6s8vqaVNE5tQ1hAMu8uHSdl8qi7vUatiVpJGUnFGiEOkFw1t5lJeoObK/mtTzC1aRZCLCqGcWWCZt48yH3AIvy1rNPD5O0ma2bZyZPjOCmSN93tNYql0oyBmLQHuVLqODpJD5Kr5lbLg5x0mreBwc0G8uDgINPT00xNTSXSfnUGEcifB/lhMzspEUkcJ6N4HKPj5BPX3Wwzy4OccLnlWmnWKuuTKFaRepq30pYeZIBSqcRWbNXx9guFAmNLgyJMaZTajkMzA9mvLnXI0ySzRviEvMb4a1rHySeuu9knmsUiaS9ipdRxdJIeJFfNrVCV5i0LWSwgiE1OgmKhuPnhaDjZtwdxaWYge85Tp+fxm6zj5BPX3Wwza6JWwiEWM1kkasVAJ1DNrbrUdJIhFtPT00xOTm6RxQKgPJFMHHKxWMx3HmQzezwpQfJC3iaZ1cMn5MXHb7KOk096QXclHQCcRjBn6Ftm9tmq7fsTlIW/L1z1wyyETk5NTVEulzcXykj4NXvFg1wx0qIe5CSYyYMcmaSXVN8nJgIvcVY8yAsWLGBgYCB3HmTH6WkkeRyj4+SQXtBdSX3AV4HXAmuBGyVdYma/rdr1Z2Z2cOICNqAUTlLbnOorYQO1kQc5AaIe5OL0NENDQ0xMTCQySa6SraKWgZxUJouoBxmSDzGJgxvIMchzDG0UjzeeH73ghXKcbqQHdHdv4F4z+wOApPOBQ4BqAzlzVBfKSNqDXDFQU/MgFwosWLCAhQsXQrk8q/1OT5KrGMG1Qiwq3uVOE/UgQ/JZPOLQ9VcPx2mVBQsW1P04jpNdekBvdwIejCyvDddVs4+kWyRdLumFtU4k6WhJqyWtXv/YY52QdRbFKg9yf38/fX19iad5S82DXCoxPDw885aj0n4l9KOTVMIo0vIgV6oYZt2D3FVXCsdpN5WZ8PO90Uo6QNLdku6VdEKN7e+QdGv4+YWkPTrSEcfpMRrpbszj86C7tWJIqosE3QQ8y8z2AL4CXFTrRGa20sxWmNmKse22a6+UNaj2IEOyRtJMmrWqLBZJtl/dd0jGg90oxCKJGOTqKoaQTQPZQywa0C2TzHxCXmvMN44xZnzgfcArzOwJSQcCK4GXtSiy4zj0hO6uBXaOLC8HHoruYGYbI98vk/Q1SWNmllzZthoUqrI4wOZyz0kwk+atKs1ckpP0hmoYyEn0v1GIRRJZLKofTsBDLBwnl7TgQZ6JDzSzMlCJD5zBzH5hZk+EizcQ3OAcx2kDLXiQ86K7NwK7Snq2pAHgUOCS6A6SnqHwSUHS3gT3/c7HUDShWJXFAcIJawlP0qtVSS8JipEc0NH2K5MXO0mjEIskPMjVDyfgHuRc0C2TzHxCXnuIUWxgTNLqyPJKM1sZfq8VH9jIw3QUcPm8BHUcZxZNdLeR3kJOdNfMJiUdC1xBkObtLDO7Q9Ix4fYzgLcA/yxpEigAh5pZdRhG4mTKgzydHQ9yJTa6k6SdxaI6gwhk04PcMQNZ0lnAwcCjZrZ7uG5b4PvALsD9wNsiT+COk0mavKZdb2Yr6h1aY13NG5OkVxLcZPebm3Ttx3XX6RYa6G4jvYUc6a6ZXQZcVrXujMj304HTk5arGTMe5CojMXEP8tAQk09PZsaDXCwlZyDXzGKRoAe5epLehg0bOt72XOhkiMXZwAFV604ArjazXYGrw2XHyTQthFg0jQ8EkPQi4FvAIWaW+qtPXHedLqGFEIu86m5uqC61DMl6kIuF4kzmjErbkOAkvRQ9yBUjeDAS3lL5nmQMclpvD+LSMQ+ymV0naZeq1YcA+4ffzwGuBY7vlAxzQRL0w8ZyvkMFkuhHt4xVHGKEWDRiJj4Q+BNBfODhVed/JvBD4F1m9rtWZG0XedPdbqGiVww23XXulICJIL1Sp5HU6W7ElqPXdDdPpO1BLhZn5+FNuppbsVhkyeLFM8tJxiCnncWinge5Z0Is6rCDmT0MYGYPS9q+3o6SjgaOBnjmM5+ZkHiOsyXzvcnGjA/8D2A74Gvh6+DJJq9+08J118kdrrvZpZYHeXh4mMcffzyR9ouF4qwsCpX2k/QgL3vGM2a1XZGr01SM8FohFkkY6LU8yD5Jbw6EEyZWAqxYsaIjbo+R0WCSWSloj/XjqWa9mTdJ96NbxiourZSrjREf+F7gvfNuIIMkobvdSEWvBkfa73stjZcYGxlr+3lrYWaMr1/PyGD7+zFeKjEyNhZbJ113s0var9mLVSEOFVmSjIGuzuABUCh2vv8Ns1gkUEkvL2nekjaQH5G0LPRALQMeTbh9x5kTLb6m7SZcd51c4bqbbdJO81bLg5yogR5W0ou2DclU0ks7i0Ve0rwlffW4BDgi/H4EcHHC7TvOnPFS04DrrpNDXG+zS9pp3gqFQk0PcqLt1/AgJ1lJL60sFvU8yKVSienp6Y63H5dOpnn7HsGknjFJa4ETgc8CF0g6CngAeGun2m9E5TX7+MZgktl4AjE3naBb+pEEtcZqdOnSpsf1ohcqy7rrOHHpRd3NE8ViEUmzvJhJepBLxVJND3JiHuw6HuQk2m8UYpFEFot6HmQIY6Aj45ImncxicVidTa/uVJuO0wlaiWPMI667TrfQa7qbJyppzqL/o6Q9uMNVhlji7UcMxIGBASSlXigkLQ/y5hjs7MQhZ3aSXrupeBBhsxcxj3RLP5KgXWPlXijHySeuu9mlOsQANodYJJGOsFQsMbp4dNa6pDzIExMTTE1NzfKgSkqs/VohFn19fSxYsCCRGOTKQ8BQjUIpSWTRiEvPGMiOMx/8Na3j5BPX3WxTHWIAgRdxenqaycnJjrdfz4OcRDW3Yo3468pyWiEWleUksljU6v+MBzlDE/XcQHacJvhN1nHyietudqkOMYBIHG6hyCIWdbT9YqE4q1AFJBdiUaiRwaPSfpIe5FoGclIe5IGBgVn6mWQMdly63kCunpyVV7qlH0nQ7rHyOEbHySeuu9mlWCrVzCIRbOu8kVRdSQ+SC7Go50EeGhpKNM1bf3//rPWJGch1clBD8LvICl1vIDtOK/hrWsfJJ6672aaWBznJanJpVtKrVUWw0n5SIRb9/f1bPEAmFmJRZ+yDbR5i0VG6ZSJbt/QjCTo5Vn6TdZx84rqbXWp5kJOcqFXLi5m0Bzmt9svl8hbhFZCuB3kmxMI9yI6TH/wm6zj5xHU3uxQKBUYWzY4zTmqilpkFRlpaHuRKme2UPMjlcpmBwS0N5MHBwUTSvDX0IGcoBtmvHo7TAEkNP47jZBPX22xTqBMDDJ0PsajnwR0eHk6kmluhQftJhJdMlCfqe5ATKBRSK4NIZSw8i0WH6JaJbN3SjyRIYqzcC+U4+cR1N7s0mqjV6RCLGQO5RiW9mfY7WM2tWCcGeWhoKJEJio1CLJLwIJeKpZoZRMBDLBwnV/hN1nHyietudikUi3Un6XXai1jx0tbKQ1yRrZMUGuVBTsCDXCqVZhUJqTAwMEC5lI4HOYshFrk3kLtlIlu39CMJkhwrfyXrOPnEdTfbNJqolZQHudqLmXT7tSoJJjFBMe0Qi3pVDMENZMfJFe6Fcpx84rqbXRp5kDseg9zMg9xhD3baHuRGIRZPP/l0x9t3D7LjdAGeS9Vx8onrbrYpFAp1PciFYocN1NAArptqrNMhFg3a73TfITCQ64ZYJOBBrlXFcDD0pnc6vGUu5NZA7paJbN3SjyRIa6z8Jus4+cR1N5tMTk4yOTlZ14Pc6WpylfPXTTXW6RCL8Py1+p9EJb1GIRaJpHmrkcFEUmIhJnHJrYHsOEnhcYyOk09cd7NJo1LL0e2dop4HN6lqbo3arzw8LFzYOfMs9UIhNfIgQ+hB7/U0b5IOAE4D+oBvmdln4xzXLRPZuqUfSZD2WPlr2tnMV3cdJ2lcd7NLxYNaPUktbQ9yUtXciqUSCxcu3MIIjj4gLKoqotJOyuUyWy/aeov1iZWarjFBEzbnoc4KiV89JPUBXwUOBHYDDpO0W9JyOE5cFixYUPfTS7juOnnD9TabzFSSq/Ig9/X10d/fn1gMcloTxWpNUpvVfocn6jXMYtFhD3K9KoYQVjLMUAxyGleKvYF7zewPZlYGzgcOSUEOx4lFKwaypAMk3S3pXkkn1NguSV8Ot98q6SUd6UR7cN11ckUrBnJedDcvckapl+YMwlRnHfYgN0vz1mkDuVgs1u17Eu2nWSik4iGu5UEO/vfZMZDTCLHYCXgwsrwWeFmjA9asWcN2S5dSznk4giT6Iff9SIKsjFUruVQjHtfXEvzOb5R0iZn9NrLbgcCu4edlwNdpog8pMm/d3fJW0DolYOZS3g+dbiSBJpJppFvGqgm9oLt5kbOaemnOKus6bqBmoFBIIw9yp+Nw08xiMRN/nQMPchoGcq0rlm2xk3Q0cHTnxXGcxrTwSnbG4wogqeJxjd68DgHONTMDbpC0RNIyM3u4FZk7hOuukyt6QHc7Iuctt93GyI47dkzoqakpYMssDgBbbbUV3z7n2/zg+z/oWPuVMIJqI22rrbYC4IMf/jD//rGPdaz9QqHA857znC3WV9rfb8/96Ovr61j7mzZtYt+/3XeL9UNDQ2x8ciM7jnTufz89PQ3Ufjjaaqut+H8/+UlHf3tzIQ0DeS2wc2R5OfBQ9U5mthJYCSBp3QQ8pdHR9cmI2DkmYKwb+gGMAR3txwSg0dGm+7XAs5rtsGbNmisWLFgw1mCXIUmrI8srw98uxPO41tpnJyCLBvK8dXeiw78VJojvWpx/E2Pd0A8mGGOi87rb4W60qruN9Bbyo7ttk7Pqwba0adOm29sr6pa8/q1vrbdpbNOmTR2/Tz5r29o/o3K5PFYulzva/t333FPv/jZWKBQ63vfzzjqP8846r2b7SYz9ccccx3HHHJda+1XU/CGkYSDfCOwq6dnAn4BDgcMbHWBmSyWtNrMVSQjYSbwf+cLMDmjh8Dge11he2Yzguuv9yA09orttk7PqwTbV30gvt9/Lfc9C+1ESN5DNbFLSscAVBKmizjKzO5KWw3ESII7HNZZXNgu47jo9RF50Ny9yOk7uSCXfjZldZmbPN7PnmtnJacjgOAkw43GVNEDgcb2kap9LgHeHM81fDjyZ0fhjwHXX6Rnyort5kdNxckeeKumtbL5LLvB+9Aj1PK6Sjgm3nwFcBhwE3As8DRyZlrwdpFt+K96PHiEvuttBOdP+jfRy+73c9yy0P4OCia2O4ziO4ziO40BKIRaO4ziO4ziOk1XcQHYcx3Ecx3GcCLkwkJuV0swqknaWdI2kOyXdIemD4fptJV0l6Z7w7zZpy9oMSX2SfiPp0nA5d31wksX1Nhu47jpzIWm9lXSWpEcl3R5Zl8hvNG1dlzQk6deSbgnb/1SS7YdtpXZ9kHS/pNsk3awwL3mWrk+ZN5C1uZTmgcBuwGGSdktXqthMAh82s78EXg68P5T9BOBqM9sVuDpczjofBO6MLOexD05CuN5mCtddJxYp6e3ZQHXO6qR+o2nregl4lZntAewJHBBmGklSR9O+PrzSzPaM5D7OzPUp8wYykVKaZlYGKqU0M4+ZPWxmN4Xfxwl+hDsRyH9OuNs5wJtSETAmkpYDrwe+FVmdqz44ieN6mwFcd505krjemtl1wONVqxP5jaat6xawKVzsDz+WVPsZvT6k3f4MeTCQ65XJzBWSdgFeDPwK2KGShzL8u32KosXhVOCjwHRkXd764CSL6202OBXXXSc+WdHbxH+jael6GOJwM/AocJWZJdn+qaR7fTDgSklrFJQ6T7r9huTBQM5COc+WkLQI+F/gODPbmLY8c0HSwcCjZrYmbVmcXOF6mzKuu848yL3ezoc0dd3MpsxsT4IKh3tL2j2JdjNyfdjXzF5CENLzfkl/m6IsW5CHQiG5LpMpqZ9A8b5jZj8MVz8iaZmZPSxpGcGTY1bZF3ijpIOAIWBU0rfJVx+c5HG9TR/XXWeuZEVvE/uNZkXXzWyDpGsJ4rGTaD/164OZPRT+fVTShQQhPpm5PuXBgxynlGYmkSTgTOBOM/tSZNMlwBHh9yOAi5OWLS5m9jEzW25muxCM/U/M7J3kqA9OKrjepozrrjMPsqK3ifxG09Z1SUslLQm/DwOvAe5Kov20rw+StpY0UvkOvA64Pan245CLSnrhE86pbC6leXK6EsVD0n7Az4Db2Bzj83GCGKcLgGcCDwBvNbPqSQqZQ9L+wEfM7GBJ25HDPjjJ4XqbHVx3nbgkrbeSvgfsD4wBjwAnAheRwG80bV2X9CKCiWh9BA7LC8zspKR1NI3rg6TnABeGiwuB75rZyVm6PuXCQHYcx3Ecx3GcpMhDiIXjOI7jOI7jJIYbyI7jOI7jOI4TwQ1kx3Ecx3Ecx4ngBrLjOI7jOI7jRHAD2XEcx3Ecx3EiuIHcBiRtJ+nm8PNnSX8Kv2+S9LUOtXmcpHeH3/8ibO83kp7bifbmINf5knZNUwbHiYPr7Sy5XG+dnsSvA7Pk8utABE/z1mYkfRLYZGandLCNhcBNwEvMbFLSCcCwmZ1YtZ8I/sfTtc7TIdleAbzTzP4pqTYdp1Vcb11vHcevA34diOIe5A4iaX9Jl4bfPynpHElXSrpf0t9L+ryk2yStCstdImkvST+VtEbSFWGpxWpeBdwUKtdBwHHAeyVdI2kXSXeGT743ATtL+rqk1ZLukPSpiHz3S/q0pF+G218Stvl7ScdE9vt3STdKurVyfFgF58eSbpF0u6S3h7v/DHhNeBFwnNzheus4jl8HHDeQk+W5wOuBQ4BvA9eY2V8BBeD1oZJ9BXiLme0FnAXUqmK0L7AGwMwuA84A/tvMXhlufwFwrpm92Mz+CPx/ZrYCeBHwCgXVeyo8aGb7ECjG2cBbgJcDJwFIeh2wK0GN9D2BvST9LUG9+IfMbA8z2x1YFcozDdwL7NHKQDlOhnC9dRzHrwM9hj8lJMvlZjYh6TaC0pKrwvW3AbsQKMbuwFWSCPd5uMZ5lgF3Nmjnj2Z2Q2T5bZKOJvh/LwN2A24Nt10SkWGRmY0D45KKCmrEvy78/CbcbxGBwv0MOEXS54BLzexnkfYeBXYkvAg4Ts5xvXUcx68DPYYbyMlSguApTdKEbQ4Anyb4Xwi4I3wibEQBGGqw/anKF0nPBj4CvNTMnpB0dtWxpYgMpcj6qEyfMbNvVDciaS/gIOAzkq40s5PCTUOhjI7TDbjeOo7j14Eew0MsssXdwFJJ+wBI6pf0whr73Qk8L+Y5RwkU7klJOwAHzlGmK4B/lLQolGknSdtL2hF42sy+DZwCvCRyzPOBO+bYjuPkFddbx3H8OtBluAc5Q5hZWdJbgC9LWkzw/zmVLX+slwPnxTznLZJ+E57jD8D1c5TpSkl/CfwyfG20CXgngYJ/QdI0MAH8M0CoxAUzq/VqyXG6Dtdbx3H8OtB9eJq3nCLpQuCjZnZP2rJEkfRvwEYzOzNtWRwna7jeOo7j14F84CEW+eUEgoD9rLEBOCdtIRwno7jeOo7j14Ec4B5kx3Ecx3Ecx4ngHmTHcRzHcRzHieAGsuM4juM4juNEcAPZcRzHcRzHcSK4gew4juM4juM4EdxAdhzHcRzHcZwI/z8ugNnJP2XAYgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def novelty_structure_feature(L, padding=True):\n", " \"\"\"Computation of the novelty function from a circular time-lag representation\n", "\n", " Notebook: C4/C4S4_StructureFeature.ipynb\n", "\n", " Args:\n", " L (np.ndarray): Circular time-lag representation\n", " padding (bool): Padding the result with the value zero (Default value = True)\n", "\n", " Returns:\n", " nov (np.ndarray): Novelty function\n", " \"\"\"\n", " N = L.shape[0]\n", " if padding:\n", " nov = np.zeros(N)\n", " else:\n", " nov = np.zeros(N-1)\n", " for n in range(N-1):\n", " nov[n] = np.linalg.norm(L[:, n+1] - L[:, n])\n", " return nov\n", "\n", "def plot_ssm_structure_feature_nov(S, L, nov, Fs=1, figsize=(10, 3), ann=[], color_ann=[]):\n", " \"\"\"Plotting an SSM, structure features, and a novelty function\n", "\n", " Notebook: C4/C4S4_StructureFeature.ipynb\n", "\n", " Args:\n", " S: SSM\n", " L: Circular time-lag representation\n", " nov: Novelty function\n", " Fs: Feature rate (indicated in title of SSM) (Default value = 1)\n", " figsize: Figure size (Default value = (10, 3))\n", " ann: Annotations (Default value = [])\n", " color_ann: Colors used for annotations (see :func:`libfmp.b.b_plot.plot_segments`) (Default value = [])\n", "\n", " Returns:\n", " ax1: First subplot\n", " ax2: Second subplot\n", " ax3: Third subplot\n", " \"\"\"\n", " plt.figure(figsize=figsize)\n", " ax1 = plt.subplot(131)\n", " if Fs == 1:\n", " title = 'SSM'\n", " else:\n", " title = 'SSM (Fs = %d)' % Fs\n", " fig_im, ax_im, im = libfmp.b.plot_matrix(S, ax=[ax1], title=title,\n", " xlabel='Time (frames)', ylabel='Time (frames)')\n", " if ann:\n", " libfmp.b.plot_segments_overlay(ann, ax=ax_im[0], edgecolor='k',\n", " print_labels=False, colors=color_ann, alpha=0.05)\n", "\n", " ax2 = plt.subplot(132)\n", " fig_im, ax_im, im = libfmp.b.plot_matrix(L, ax=[ax2], title='Structure features',\n", " xlabel='Time (frames)', ylabel='Lag (frames)', colorbar=True)\n", " if ann:\n", " libfmp.b.plot_segments_overlay(ann, ax=ax_im[0], edgecolor='k', ylim=False,\n", " print_labels=False, colors=color_ann, alpha=0.05)\n", "\n", " ax3 = plt.subplot(133)\n", " fig, ax, im = libfmp.b.plot_signal(nov, ax=ax3, title='Novelty function',\n", " xlabel='Time (frames)', color='k')\n", " if ann:\n", " libfmp.b.plot_segments_overlay(ann, ax=ax, edgecolor='k', colors=color_ann, alpha=0.05)\n", " plt.tight_layout()\n", " return ax1, ax2, ax3\n", "\n", "color_ann = {'A': [1, 0, 0, 0.2], 'B': [0, 1, 0, 0.2], 'C': [0, 0, 1, 0.2], '': [1, 1, 1, 0.2]}\n", "ann = [[0, 9, 'A'], [10, 19, 'B'], [20, 29, 'A'], [30, 39, 'B'], [40, 49, 'B'], [50, 59, 'A']]\n", "S = libfmp.c4.generate_ssm_from_annotation(ann, score_path=1, score_block=0)\n", "L = compute_time_lag_representation(S, circular=True)\n", "nov = novelty_structure_feature(L)\n", "ax = plot_ssm_structure_feature_nov(S, L, nov, ann=ann, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The structure features work particularly well in this example because of two reasons. First, there are many repeating parts, resulting in a rich path structure. Second, the two repeating musical parts occur in different chronological orders, resulting in characteristic path discontinuations that are captured well by the structure features. That is, structure-based novelty detection does not work for a piece with musical structure $A_1A_2A_3A_4$ or $A_1B_1A_2B_2$, but works well for a piece with musical structure $A_1B_1A_2A_3$ or $A_1A_2B_1B_2$. This fact is illustrated by the following figure." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:15.563107Z", "iopub.status.busy": "2024-02-15T08:52:15.562923Z", "iopub.status.idle": "2024-02-15T08:52:17.043579Z", "shell.execute_reply": "2024-02-15T08:52:17.043005Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "color_ann = {'A': [1, 0, 0, 0.2], 'B': [0, 1, 0, 0.2], 'C': [0, 0, 1, 0.2], '': [1, 1, 1, 0.2]}\n", "figsize = (8,2.5)\n", "\n", "ann_set = [[[0, 9, 'A'], [10, 19, 'A'], [20, 29, 'A'], [30, 39, 'A']],\n", " [[0, 9, 'A'], [10, 19, 'B'], [20, 29, 'A'], [30, 39, 'B']],\n", " [[0, 9, 'A'], [10, 19, 'B'], [20, 29, 'A'], [30, 39, 'A']],\n", " [[0, 9, 'A'], [10, 19, 'A'], [20, 29, 'B'], [30, 39, 'B']]]\n", "\n", "for ann in ann_set:\n", " S = libfmp.c4.generate_ssm_from_annotation(ann, score_path=1, score_block=0)\n", " L = compute_time_lag_representation(S, circular=True)\n", " nov = novelty_structure_feature(L)\n", " ax = plot_ssm_structure_feature_nov(S, L, nov, figsize=figsize, ann=ann, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Chopin\n", "\n", "To illustrate the overall procedure for structure-based novelty detection, we look at a recording of the Prelude Op.28, No. 11 by Frédéric Chopin, which has the musical structure $A_1A_2BA_3A_4CD$. The following figure shows (a path-enhanced and thresholded) SSM computed from a chroma-based feature representation. Furthermore, the figures shows the time–lag matrix $\\mathrm{L}^{\\!\\circ}$ and the resulting novelty function $\\Delta_\\mathrm{Structure}$. Since the recording and the segments are rather short, we use in the following a relatively high feature rate. \n", "\n", "\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:17.046388Z", "iopub.status.busy": "2024-02-15T08:52:17.046177Z", "iopub.status.idle": "2024-02-15T08:52:22.616902Z", "shell.execute_reply": "2024-02-15T08:52:22.616363Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn_wav = os.path.join('..', 'data', 'C4', 'FMP_C4_Audio_Chopin_Op028-11_003_20100611-SMD.wav')\n", "fn_ann = os.path.join('..', 'data', 'C4', 'FMP_C4_Audio_Chopin_Op028-11_003_20100611-SMD.csv')\n", "x, x_duration, X, Fs_feature, S, I = libfmp.c4.compute_sm_from_filename(fn_wav, L=9, H=2, L_smooth=11, thresh= 0.1)\n", "\n", "ann_frames, color_ann = libfmp.c4.read_structure_annotation(fn_ann, Fs=Fs_feature, remove_digits=True, index=True)\n", "color_ann = {'A': [1, 0, 0, 0.2], 'B': [0, 1, 0, 0.2], 'C': [0, 0, 1, 0.2], '': [1, 1, 1, 0.2]}\n", "\n", "L = compute_time_lag_representation(S, circular=True)\n", "nov = novelty_structure_feature(L)\n", "ax = plot_ssm_structure_feature_nov(S, L, nov, Fs=Fs_feature, ann=ann_frames, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is not yet very convincing. In particular, the novelty curve looks quite noise. Only some of the segments boundaries (e.g., from $A_2$ to $B$ or from $A_4$ to $C$) are indicated well by peak positions. There are many parameters (such as the feature representation or the temporal resolution) that may have a significant influence on the final result. We discussed such issues already in the [FMP notebook on novelty-based segmentation](../C4/C4S4_NoveltySegmentation.html). In this specific example, the structure features defined by $\\mathrm{L}^{\\!\\circ}$ are noisy and contain many small fragments that corrupt the final novelty function. A good method for removing such outliers and suppressing some noise is to apply a [**median filter**](../C8/C8S1_HPS.html) in horizontal direction. Furthermore, to make the differentiation in the novelty computation less vulnerable to small deviations, one may further smooth the time–lag matrix by applying a **convolution** with a **Gaussian kernel**. The effect of these two post-processing strategies are illustrated by the following figures." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:22.619541Z", "iopub.status.busy": "2024-02-15T08:52:22.619358Z", "iopub.status.idle": "2024-02-15T08:52:23.378032Z", "shell.execute_reply": "2024-02-15T08:52:23.377426Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Application of median filter\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('Application of median filter')\n", "L_filter = ndimage.median_filter(L, (3,11))\n", "nov = novelty_structure_feature(L_filter)\n", "ax = plot_ssm_structure_feature_nov(S, L_filter, nov, ann=ann_frames, color_ann=color_ann)\n", "plt.show()\n", "\n", "print('Application of convolution filter')\n", "L_filter = ndimage.gaussian_filter(L_filter, 4)\n", "nov = novelty_structure_feature(L_filter)\n", "ax = plot_ssm_structure_feature_nov(S, L_filter, nov, ann=ann_frames, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Brahms \n", "\n", "\n", "We close this notebook by having a looked at our [Brahms example](../C4/C4S1_MusicStructureGeneral.html) from previous notebooks, which is the Ormandy recording of the Hungarian Dance No. 5 having the musical form $A_1A_2B_1B_2CA_3B_3B_4D$. Note that, due to relative tempo differences between the $B$-part segments, this example is problematic when using a time–lag representation. This is also shown in the following result. \n", "\n", "" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:23.381097Z", "iopub.status.busy": "2024-02-15T08:52:23.380899Z", "iopub.status.idle": "2024-02-15T08:52:25.024578Z", "shell.execute_reply": "2024-02-15T08:52:25.024021Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "filename = 'FMP_C4_Audio_Brahms_HungarianDances-05_Ormandy.csv'\n", "fn_ann = os.path.join('..', 'data', 'C4', filename)\n", "fn_wav = os.path.join('..', 'data', 'C4', 'FMP_C4_Audio_Brahms_HungarianDances-05_Ormandy.wav')\n", "tempo_rel_set = np.array([0.8, 1, 1.25])\n", "x, x_duration, X, Fs_feature, S, I = libfmp.c4.compute_sm_from_filename(fn_wav, L=21, H=5, \n", " L_smooth=11, tempo_rel_set=tempo_rel_set, thresh= 0.1)\n", "\n", "ann_frames, color_ann = libfmp.c4.read_structure_annotation(fn_ann, fn_ann_color=filename, \n", " Fs=Fs_feature, remove_digits=True, index=True)\n", "\n", "L = compute_time_lag_representation(S, circular=True)\n", "nov = novelty_structure_feature(L)\n", "ax = plot_ssm_structure_feature_nov(S, L, nov, Fs=Fs_feature, ann=ann_frames, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The problems of the novelty function are partly because of the noisy path relations already visible in the input SSM and partly because of the non-diagonal path structures due to relative tempo differences. Again, applying some postprocessing (median filtering, convolution with a Gaussian kernel) before computing the novelty functions alleviates some of the issues." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:52:25.027793Z", "iopub.status.busy": "2024-02-15T08:52:25.027618Z", "iopub.status.idle": "2024-02-15T08:52:25.425852Z", "shell.execute_reply": "2024-02-15T08:52:25.425038Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "L_filter = ndimage.median_filter(L, (3,21))\n", "L_filter = ndimage.gaussian_filter(L_filter, 6)\n", "nov = novelty_structure_feature(L_filter)\n", "ax = plot_ssm_structure_feature_nov(S, L_filter, nov, Fs=Fs_feature, ann=ann_frames, color_ann=color_ann)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "In summary, the main conceptual idea of the novelty-based segmentation approach introduced in this notebook is that it integrates different structure analysis principles within a unifying framework: the structure features capture (global) repetition-based information, which is then analyzed using a (local) novelty-based procedure. The following points are important in practice:\n", "\n", "* The quality of the input SSM is of crucial importance for obtaining a meaningful novelty function. Postprocessing the time–lag matrix by applying smoothing techniques (median, convolution) is an important step for increasing the robustness of the overall procedure.\n", "\n", "* Tuning parameters of the procedure (e.g., feature resolution, SSM parameters, SSM threshold, filter parameters) in a musically informed way (e.g., expected minimum length of segments, duration of music recording) may substantially improve the final results. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Tim Zunner.\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 }