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

Self-Similarity Matrix (SSM)

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\n", "To study musical structures and their mutual relations, one general idea is to convert the music signal into a suitable feature sequence and then to compare each element of the feature sequence with all other elements of the sequence. This results in a self-similarity matrix (SSM), a tool which is of fundamental importance not only for music structure analysis but also for the analysis of many kinds of time series. Following Section 4.2.1 of [Müller, FMP, Springer 2015], we introduce in this notebook the concept of SSMs and discuss their fundamental properties. For a more practical approach to this topic, we refer to the FMP notebook on synthetic generation of SSMs.\n", "\n", "

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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Definition\n", "\n", "Let $\\mathcal{F}$ be feature space and $s:\\mathcal{F}\\times\\mathcal{F}\\to \\mathbb{R}$ a similarity measure that makes it possible to compare two elements $x,y\\in\\mathcal{F}$. Typically, the value $s(x,y)$ is high in case the elements $x,y\\in\\mathcal{F}$ are similar and small otherwise. Given a feature sequence $X=(x_1,x_2,\\ldots,x_N)$, the idea is to compare all elements of the sequence with each other. This results in an $N$-square \n", "**self-similarity matrix** $\\mathbf{S}\\in\\mathbb{R}^{N\\times N}$ defined by \n", "\n", "\\begin{equation}\n", " \\mathbf{S}(n,m):=s(x_n,x_m),\n", "\\end{equation} \n", "\n", "where $x_n,x_m\\in\\mathcal{F}$ for $n,m\\in[1:N]$. In the following, a tuple $(n,m)\\in[1:N]\\times[1:N]$ is also called a **cell** of $\\mathbf{S}$, and the value $\\mathbf{S}(n,m)$ is referred to as **score** of the cell $(n,m)$. Depending on the application context and notion that is used to compare the data, there are many related concepts known under different \n", "names such as **recurrence plot**, **cost matrix**, or **self-distance matrix** just to name a few. In this notebook, we only consider self-similarity matrices, but the techniques to be explained can easily be transferred to other types of matrices.\n", "\n", "Often, even though not necessary, we assume that the feature space is a Euclidean space $\\mathcal{F}=\\mathbb{R}^K$ of some dimension $K\\in\\mathbb{N}$. A simple similarity measure $s$ is, for example, the inner product defined by \n", "\n", "\\begin{equation}\n", " s(x,y) := \\langle x,y\\rangle\n", "\\end{equation}\n", "\n", "for two vectors $x,y\\in\\mathcal{F}$. With this similarity measure, the score between two orthogonal feature vectors \n", "is zero and otherwise it is nonzero. In the case that the feature vectors are [**normalized** with respect to the Euclidean norm](../C3/C3S1_FeatureNormalization.html), the similarity values $s(x,y)$ lie in the interval $[-1,1]$. In this case, given a feature sequence $X=(x_1,x_2,\\ldots,x_N)$ of normalized features, the maximal values in an SSM are assumed in the case $s(x_n,x_n)=1$ for all $n\\in[1:N]$. Therefore, the resulting SSM has a diagonal with large values. More generally, recurring patterns of the given feature sequence become visible in the SSM in the form of structures with large similarity values.\n", "\n", "In the following example, we generate a synthetic features sequence of [normalized](../C3/C3S1_FeatureNormalization.html) feature vectors. The dimension of the feature vectors is $K=4$ and the length of the sequence is $N=500$. The figure shows the feature sequence as well as the resulting SSM. \n", "\n", "**Important notes:**\n", "* When visualizing an SSM, the choice of the colormap `cmap` may have a significant impact on the overall appearance of the figure. Choosing a suitable colormap can help to visually highlight certain properties of the SSM.\n", "* When using a feature sequence of normalized features and the similarity measure as described above, the SSM can be computed by a simple matrix–matrix product. More precisely, if the feature sequence is realized by the $K\\times N$-matrix $X$, the SSM $S$ is given by $S=X^\\top X$.\n", "\n", "* Furthermore, we often assume that all entries of the feature vectors are positive. In this case, the values $s(x_n,x_m)$ are positive as well and lie in the interval $[0,1]$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:53:10.854583Z", "iopub.status.busy": "2024-02-15T08:53:10.854285Z", "iopub.status.idle": "2024-02-15T08:53:16.793116Z", "shell.execute_reply": "2024-02-15T08:53:16.792432Z" } }, "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", "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", "import libfmp.c6\n", "\n", "%matplotlib inline\n", "\n", "# Generate normalized feature sequence\n", "K = 4\n", "M = 100\n", "r = np.arange(M)\n", "b1 = np.zeros((K,M))\n", "b1[0,:] = r\n", "b1[1,:] = M-r\n", "b2 = np.ones((K,M))\n", "X = np.concatenate(( b1, b1, np.roll(b1, 2, axis=0), b2, b1 ), axis=1)\n", "X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "\n", "# Compute SSM\n", "S = np.dot(np.transpose(X), X)\n", "\n", "# Visualization\n", "cmap = 'gray_r'\n", "fig, ax = plt.subplots(2, 2, gridspec_kw={'width_ratios': [1, 0.05], \n", " 'height_ratios': [0.2, 1]}, figsize=(4.5, 5))\n", "libfmp.b.plot_matrix(X, Fs=1, ax=[ax[0,0], ax[0,1]], cmap=cmap,\n", " xlabel='Time (frames)', ylabel='', title='Feature sequence')\n", "libfmp.b.plot_matrix(S, Fs=1, ax=[ax[1,0], ax[1,1]], cmap=cmap,\n", " title='SSM', xlabel='Time (frames)', ylabel='Time (frames)', colorbar=True);\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The visual appearance can be changed by suitable adjusting the colormap. For example shifting the color distribution towards lighter colors enhances the path structure in the visualization. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:53:16.829384Z", "iopub.status.busy": "2024-02-15T08:53:16.829053Z", "iopub.status.idle": "2024-02-15T08:53:17.149294Z", "shell.execute_reply": "2024-02-15T08:53:17.148616Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cmap = libfmp.b.compressed_gray_cmap(alpha=-1000)\n", "fig, ax = plt.subplots(2, 2, gridspec_kw={'width_ratios': [1, 0.05], \n", " 'height_ratios': [0.2, 1]}, figsize=(4.5, 5))\n", "libfmp.b.plot_matrix(X, Fs=1, ax=[ax[0,0], ax[0,1]], cmap=cmap,\n", " xlabel='Time (frames)', ylabel='', title='Feature sequence')\n", "libfmp.b.plot_matrix(S, Fs=1, ax=[ax[1,0], ax[1,1]], cmap=cmap,\n", " title='SSM', xlabel='Time (frames)', ylabel='Time (frames)', colorbar=True);\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Block and Path Structures\n", "\n", "The two most prominent structures in SSMs, as already shown in the previous example, are referred to as **blocks** and **paths**. If the feature sequence captures musical properties that stay somewhat constant over the duration of an entire musical part, each of the feature vectors is similar to all other feature vectors within this segment. As a result, an entire **block** of large values appears in the SSM. In other words, **homogeneity properties correspond to block-like structures**. If the feature sequence contains two repeating subsequences (e.g., two segments corresponding to the same melody), the corresponding elements of the two subsequences are similar to each other. As a result, a **path** (or **stripe**) of high similarity running parallel to the main diagonal becomes visible in the SSM. In other words, **repetitive properties correspond to path-like structures**.\n", "\n", "As an example, the following figure shows an idealized SSM for the [Hungarian Dance No. 5 by Johannes Brahms](../C4/C4S1_MusicStructureGeneral.html), which has the musical structure $A_1A_2B_1B_2CA_3B_3B_4D$. Assuming that the three repeating $A$-part segments are homogeneous, the SSM has a quadratic block relating the segment corresponding to $A_1A_2$ to itself and another quadratic block relating the $A_3$-part segment to itself. Furthermore, there are two rectangular blocks, one relating the $A_1A_2$-part segment to the $A_3$-part segment and the other relating the $A_3$-part segment to the $A_1A_2$-part segment. In case that the three repeating $A$-part segments are not homogeneous, the SSM reveals path structures that run (more or less) parallel to the main diagonal. For example, there is a path with large similarity values relating $A_1$ with $A_2$ and one relating $A_1$ with $A_3$.\n", "\n", "\"FMP_C4_F07a.png\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SSM Based on Chromagram Features\n", "\n", "The following code generates an SSM from a recording of Brahms' Hungarian Dance using a [**chromagram**](../C3/C3S1_SpecLogFreq-Chromagram.html) as a feature representation. In the visualization, large values of $\\mathbf{S}$ are indicated by dark gray and small values by light gray. Actually, the SSM obtained in this case resembles the idealized SSM to a large extent. The block-like structures corresponding to $A$-part segments indicate that these segments are quite homogeneous with respect to harmony. The same holds for the $C$-part segment. Furthermore, the small similarity values outside the $C$-part block (i.e., all cells relating the $C$-part frames to frames of other segments) show that the $C$-part segment is harmonically more or less \n", "unrelated to all other parts. For the $B$-part segments, there are path-like structures and no block-like structures. This shows that the $B$-part segments share the same harmonic progression (i.e., are repetitions with regard to harmony), but are not homogeneous with respect to harmony. \n", " \n", "\n", "" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:53:17.152494Z", "iopub.status.busy": "2024-02-15T08:53:17.152261Z", "iopub.status.idle": "2024-02-15T08:53:19.728964Z", "shell.execute_reply": "2024-02-15T08:53:19.728122Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "@jit(nopython=True)\n", "def compute_sm_dot(X, Y):\n", " \"\"\"Computes similarty matrix from feature sequences using dot (inner) product\n", "\n", " Notebook: C4/C4S2_SSM.ipynb\n", "\n", " Args:\n", " X (np.ndarray): First sequence\n", " Y (np.ndarray): Second Sequence\n", "\n", " Returns:\n", " S (float): Dot product\n", " \"\"\"\n", " S = np.dot(np.transpose(X), Y)\n", " return S\n", "\n", "def plot_feature_ssm(X, Fs_X, S, Fs_S, ann, duration, color_ann=None,\n", " title='', label='Time (seconds)', time=True,\n", " figsize=(5, 6), fontsize=10, clim_X=None, clim=None):\n", " \"\"\"Plot SSM along with feature representation and annotations (standard setting is time in seconds)\n", "\n", " Notebook: C4/C4S2_SSM.ipynb\n", "\n", " Args:\n", " X: Feature representation\n", " Fs_X: Feature rate of ``X``\n", " S: Similarity matrix (SM)\n", " Fs_S: Feature rate of ``S``\n", " ann: Annotaions\n", " duration: Duration\n", " color_ann: Color annotations (see :func:`libfmp.b.b_plot.plot_segments`) (Default value = None)\n", " title: Figure title (Default value = '')\n", " label: Label for time axes (Default value = 'Time (seconds)')\n", " time: Display time axis ticks or not (Default value = True)\n", " figsize: Figure size (Default value = (5, 6))\n", " fontsize: Font size (Default value = 10)\n", " clim_X: Color limits for matrix X (Default value = None)\n", " clim: Color limits for matrix ``S`` (Default value = None)\n", "\n", " Returns:\n", " fig: Handle for figure\n", " ax: Handle for axes\n", " \"\"\"\n", " cmap = libfmp.b.compressed_gray_cmap(alpha=-10)\n", " fig, ax = plt.subplots(3, 3, gridspec_kw={'width_ratios': [0.1, 1, 0.05],\n", " 'wspace': 0.2,\n", " 'height_ratios': [0.3, 1, 0.1]},\n", " figsize=figsize)\n", " libfmp.b.plot_matrix(X, Fs=Fs_X, ax=[ax[0, 1], ax[0, 2]], clim=clim_X,\n", " xlabel='', ylabel='', title=title)\n", " ax[0, 0].axis('off')\n", " libfmp.b.plot_matrix(S, Fs=Fs_S, ax=[ax[1, 1], ax[1, 2]], cmap=cmap, clim=clim,\n", " title='', xlabel='', ylabel='', colorbar=True)\n", " ax[1, 1].set_xticks([])\n", " ax[1, 1].set_yticks([])\n", " libfmp.b.plot_segments(ann, ax=ax[2, 1], time_axis=time, fontsize=fontsize,\n", " colors=color_ann,\n", " time_label=label, time_max=duration*Fs_X)\n", " ax[2, 2].axis('off')\n", " ax[2, 0].axis('off')\n", " libfmp.b.plot_segments(ann, ax=ax[1, 0], time_axis=time, fontsize=fontsize,\n", " direction='vertical', colors=color_ann,\n", " time_label=label, time_max=duration*Fs_X)\n", " return fig, ax\n", "\n", "# Waveform\n", "fn_wav = os.path.join('..', 'data', 'C4', 'FMP_C4_Audio_Brahms_HungarianDances-05_Ormandy.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "x_duration = (x.shape[0])/Fs\n", "\n", "# Chroma Feature Sequence\n", "N, H = 4096, 1024\n", "chromagram = librosa.feature.chroma_stft(y=x, sr=Fs, tuning=0, norm=2, hop_length=H, n_fft=N)\n", "X, Fs_X = libfmp.c3.smooth_downsample_feature_sequence(chromagram, Fs/H, filt_len=41, down_sampling=10)\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", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "\n", "# SSM \n", "X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "S = compute_sm_dot(X,X)\n", "fig, ax = plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X, color_ann=color_ann,\n", " clim_X=[0,1], clim=[0,1], label='Time (frames)',\n", " title='Chroma feature (Fs=%0.2f)'%Fs_X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SSM Based on MFCC Features\n", "\n", "Next, we compute an SSM on the basis of [**MFCC features**](../C4/C4S1_MusicStructureGeneral.html). Using all $K=20$ MFCC coefficients of this representation results in an SSM that mainly possesses block-like structures. In particular, one can observe blocks that roughly correspond to the $A$-parts and the the $C$-part. Actually, the block structure is dominated by the first two (lower) coefficients of the MFCC features. Only considering the coefficients $4$ to $14$ results in an SSM that has finer block structures and also reveals path-like structures.\n", "\n", "**Important notes:**\n", "* Before computing the SSM, we applied some [**smoothing** by applying an averaging filter with subsequent **downsampling**](../C3/C3S1_FeatureSmoothing.html). The smoothing suppresses small local fluctuations in the feature sequence and may have a significant effect on the resulting SSM. \n", "* Note that downsampling the feature sequence by a factor $H$, increases the efficiency by factor of $H^2$ when computing the SSM $\\mathbf{S}$.\n", "* Since the values of the MFCC features may be negative, also the SSM values may be negative (in the interval $[1,-1]$ after normalizing the MFCC features)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:53:19.732282Z", "iopub.status.busy": "2024-02-15T08:53:19.732082Z", "iopub.status.idle": "2024-02-15T08:53:20.498094Z", "shell.execute_reply": "2024-02-15T08:53:20.497222Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", "
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from libfmp.b import FloatingBox\n", "float_box = libfmp.b.FloatingBox()\n", "\n", "# MFCC-based feature sequence\n", "N, H = 2048, 1024\n", "X_MFCC = librosa.feature.mfcc(y=x, sr=Fs, hop_length=H, n_fft=N)\n", "coef = np.arange(0,20)\n", "X_MFCC_upper = X_MFCC[coef,:]\n", "X, Fs_X = libfmp.c3.smooth_downsample_feature_sequence(X_MFCC_upper, Fs/H, filt_len=41, down_sampling=10)\n", "X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "S = compute_sm_dot(X,X)\n", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "fig, ax = plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X, color_ann=color_ann,\n", " title='MFCC (20 coefficients, Fs=%0.2f)'%Fs_X, label='Time (frames)')\n", "float_box.add_fig(fig)\n", "\n", "\n", "# MFCC-based feature sequence only using coefficients 4 to 14\n", "coef = np.arange(4,15)\n", "X_MFCC_upper = X_MFCC[coef,:]\n", "X, Fs_X = libfmp.c3.smooth_downsample_feature_sequence(X_MFCC_upper, Fs/H, filt_len=41, down_sampling=10)\n", "X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "S = compute_sm_dot(X,X)\n", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "fig, ax = plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X, \n", " color_ann=color_ann, label='Time (frames)',\n", " title='MFCC (coefficients 4 to 14, Fs=%0.2f)'%Fs_X)\n", "float_box.add_fig(fig)\n", "\n", "float_box.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SSM Based on Tempogram Features\n", "\n", "Finally, we compute an SSM using a [**cyclic Fourier tempogram**](../C6/C6S2_TempogramCyclic.html) as the underlying feature representation. Compared to the chroma-based SSM, the structure of the tempogram-based SSM is not so clear. At least, one can observe a block that corresponds to the $C$-part segment, thus emphasizing its contrasting role. Furthermore, the SSM indicates the many tempo changes occurring in this music recording." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:53:20.502960Z", "iopub.status.busy": "2024-02-15T08:53:20.502711Z", "iopub.status.idle": "2024-02-15T08:53:23.575174Z", "shell.execute_reply": "2024-02-15T08:53:23.574532Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Tempogram feature sequence\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "\n", "N, H = 1000, 100\n", "X, T_coef, F_coef_BPM = libfmp.c6.compute_tempogram_fourier(nov, Fs_nov, N=N, H=H, Theta=np.arange(30, 601))\n", "octave_bin = 12\n", "tempogram_F = np.abs(X)\n", "output = libfmp.c6.compute_cyclic_tempogram(tempogram_F, F_coef_BPM, octave_bin=octave_bin)\n", "X = output[0]\n", "F_coef_scale = output[1]\n", "Fs_X = Fs_nov/H\n", "X = libfmp.c3.normalize_feature_sequence(X, norm='2', threshold=0.001)\n", "S = compute_sm_dot(X,X)\n", "ann_frames = libfmp.c4.convert_structure_annotation(ann, Fs=Fs_X) \n", "fig, ax = plot_feature_ssm(X, 1, S, 1, ann_frames, x_duration*Fs_X, color_ann=color_ann,\n", " title='Tempogram (Fs=%0.2f)'%Fs_X, label='Time (frames)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formal Definition of Paths and Blocks\n", "\n", "We formally define a **segment** to be a set $\\alpha=[s:t]\\subseteq [1:N]$ specified by its starting point $s$ and its end point $t$ (given in terms of feature indices). Let \n", "\n", "\\begin{equation}\n", " |\\alpha|:=t-s+1\n", "\\end{equation}\n", "\n", "denote the length of $\\alpha$. Next, a **path** over $\\alpha$ of length $L$ is a sequence\n", "\n", "\\begin{equation}\n", " P=((n_1,m_1), \\ldots,(n_L,m_L))\n", "\\end{equation} \n", "\n", "of cells $(n_\\ell,m_\\ell)\\in[1:N]^2$, $\\ell\\in[1:L]$, satisfying $m_1=s$ and $m_L=t$ (**boundary condition**) and $(n_{\\ell+1},m_{\\ell+1}) -(n_\\ell,m_\\ell)\\in \\Sigma$ (**step size condition**), where $\\Sigma$ denotes a set of admissible step sizes. Note that this definition is very similar to the one of a [warping path](../C3/C3S2_DTWbasic.html) (see Section 3.2.1.1 of [Müller, FMP, Springer 2015]). In the case of $\\Sigma = \\{(1,1)\\}$, one obtains paths that are strictly diagonal. In the following, we typically use the set $\\Sigma = \\{(2,1),(1,2),(1,1)\\}$. For a path $P$, one can associate two segments defined by the projections $\\pi_1(P):=[n_1:n_L]$ and $\\pi_2(P):=[m_1:m_L]$, respectively. The boundary condition enforces $\\pi_2(P)=\\alpha$. The other segment $\\pi_1(P)$ is referred to as the **induced segment**. The **score** $\\sigma(P)$ of $P$ is defined as\n", "\n", "\\begin{equation}\n", "\\sigma(P) := \\sum_{\\ell=1}^L \\mathbf{S}(n_\\ell,m_\\ell).\n", "\\end{equation}\n", "\n", "Note that each path over the segment $\\alpha$ encodes a relation between $\\alpha$ and an induced segment, where the score $\\sigma(P)$ yields a quality measure for this relation. For blocks, we also introduce corresponding notions. \n", "A **block** over a segment $\\alpha=[s:t]$ is a subset \n", "\n", "\\begin{equation}\n", " B=\\alpha' \\times \\alpha \\subseteq [1:N]\\times [1:N]\n", "\\end{equation}\n", "\n", "for some segment $\\alpha'=[s':t']$. Similar as for a path, we define the two projections $\\pi_1(B)=\\alpha'$ and $\\pi_2(B)=\\alpha$ for the block $B$ and call $\\alpha'$ the **induced segment**. Furthermore, we define the score of block $B$ by\n", "\n", "\\begin{equation}\n", "\\sigma(B)=\\sum_{(n,m)\\in B}\\mathbf{S}(n,m).\n", "\\end{equation}\n", "\n", "The formal definition of paths and blocks is summarized by the following figure:\n", "\n", "\"FMP_C4_F08.png\"\n", "\n", "\n", "Based on paths and blocks, one can consider different kinds of similarity relations between segments. We say that a segment $\\alpha_1$ is **path-similar** to a segment $\\alpha_2$, if there is a path $P$ of high score with $\\pi_1(P)=\\alpha_1$ and $\\pi_2(P)=\\alpha_2$. Similarly, $\\alpha_1$ is **block-similar** to $\\alpha_2$, if there is a block $B$ of high score with $\\pi_1(B)=\\alpha_1$ and $\\pi_2(B)=\\alpha_2$. Obviously, in case that the similarity measure $s$ is symmetric, both the self-similarity matrix $\\mathbf{S}$ and the above-defined similarity relations between segments are symmetric as well. Another important property of a similarity relation is **transitivity**, i.e., if a segment $\\alpha_1$ is similar to a segment $\\alpha_2$ and segment $\\alpha_2$ is similar to a segment $\\alpha_3$, then $\\alpha_1$ should also be similar to $\\alpha_3$ (at least to a certain degree). Also this property holds for path- and block-similarity in case that the similarity measure $s$ has this property. As a consequence, path and block structures often appear in groups that fulfill certain symmetry and transitivity properties—at least in the ideal case. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overall Procedure for Music Structure Analysis\n", "\n", "Most computational approaches to music structure analysis exploit path- and block-like structures of SSMs in one way or another, and the overall algorithmic pipelines typically contain the following general steps:\n", "\n", "* The music signal is transformed into a suitable feature sequence.\n", "* A self-similarity matrix is computed from the feature sequence based on a similarity measure.\n", "* Blocks and paths of high overall score are derived from the SSM. Each block or path defines a pair of similar segments.\n", "* Entire groups of mutually similar segments are formed from the pairwise relations by applying a clustering step.\n", "\n", "The last step can be considered as forming a kind of transitive closure of the pairwise segment relations induced by block and path structures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "\n", "In the Brahms example, the musical structure can be explained well by its repetitive structure. In the above figures, these structures become visible in particular when using a chroma-based SSM. In the subsequent notebooks, we will mainly focus on chroma-based features to illustrate music structure analysis approaches. Of course, many techniques can also be applied on SSMs obtained from other feature representations. In the literature, often a combination of various feature types is used. Besides the feature type, there are many ways for enhancing structural properties of SSM. In the following notebooks, we will cover the following enhancement and postprocessing strategies:\n", "\n", "* [Feature smoothing](../C4/C4S2_SSM-FeatureSmoothing.html)\n", "* [Path enhancement](../C4/C4S2_SSM-PathEnhancement.html)\n", "* [Transposition invariance](../C4/C4S2_SSM-TranspositionInvariance.html)\n", "* [Thresholding](../C4/C4S2_SSM-Thresholding.html)\n", "\n", "The following figure gives an overview of the various strategies that can be applied when computing an SSM.\n", "\n", "\"FMP_C4_F09.png\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller.\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 }