\n",
"Following Section 7.2 of [Müller, FMP, Springer 2015], we discuss in this notebook the task of audio matching, which was originally considered in the following article.\n",
" \n",
"
\n",
"
\n",
"Meinard Müller, Frank Kurth, and Michael Clausen: Audio Matching via Chroma-Based Statistical Features Proceedings of the International Conference on Music Information Retrieval (ISMIR), London, UK, pp. 288–295, 2005.\n",
" \n",
" Bibtex \n",
"
\n",
"
\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Task Specification and General Requirements\n",
"\n",
"\n",
"In the [FMP notebook on content-based audio retrieval](../C7/C7_ContentBasedAudioRetrieval.html), we gave an introduction to various retrieval tasks based on the query-by-example paradigm. While significant progress has been made for highly specific retrieval scenarios such as [audio identification](../C7/C7S1_AudioIdentification.html), retrieval scenarios of lower [specificity](../C7/C7_ContentBasedAudioRetrieval.html) still pose many challenges. We now address a retrieval task referred to as **audio matching**: given a short query audio clip, the goal is to automatically retrieve all excerpts from all recordings within a given audio database that **musically** correspond to the query. In this matching scenario, as opposed to classic audio identification, one allows semantically motivated variations as they typically appear in different performances and arrangements of a piece of music. For example, two different performances of the same piece may exhibit significant nonlinear global and local differences in tempo, articulation, and phrasing, which are due to the freedom an artist has in executing performance directives such as ritardandi, accelerandi, fermata signs, or ornamentations. Furthermore, one has to deal with considerable spectral variations, which are due to differences in instrumentation, dynamics, accentuation, and so on. \n",
"\n",
"To further illustrate the audio matching scenario, let us consider the [Symphony No. 5 by Ludwig van Beethoven](../C1/C1S1_SheetMusic.html). Being one of the most popular pieces in the Western classical music literature, there exist a large number of different performances and arrangements of Beethoven's Fifth Symphony. More than $100$ recordings are commercially available, not to mention numerous nonprofessional live performances as may be found on video-sharing websites such as YouTube. Here are some examples for the first 21 measures (also shown as [sheet music representation](../C1/C1S1_SheetMusic.html) in a piano-reduced form).\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"
\n",
"
\n",
"
Performer
\n",
"
Audio
\n",
"
\n",
" \n",
"
\n",
"
Bernstein
\n",
"
\n",
"
\n",
"\n",
"
\n",
"
Karajan
\n",
"
\n",
"
\n",
"\n",
"
\n",
"
Sawallisch
\n",
"
\n",
"
\n",
"\n",
"
\n",
"
Gould (piano version)
\n",
"
\n",
"
\n",
"\n",
"
\n",
"
Scherbakov (piano verison)
\n",
"
\n",
"
\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PDQ Bach - Beethoven Symphony No. 5\n"
]
},
{
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\n",
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import IPython.display as ipd\n",
"import numpy as np\n",
"print('PDQ Bach - Beethoven Symphony No. 5')\n",
"ipd.display(ipd.YouTubeVideo('MzXoVo16pTg', start=1, width=480, height=360))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now imagine you are sitting in a student orchestra concert at your university and listen to a performance of Beethoven's Fifth. You take your smartphone, record a few seconds, and send the audio fragment to an identification service. Since the live performance of the query is not part of the system's fingerprint database, the service will not be able to identify the recording when using traditional [fingerprinting techniques](../C7/C7S1_AudioIdentification.html). This is exactly the scenario where audio matching techniques should step in. \n",
"\n",
"For example, let us assume that the query consists of a recording of the first theme of Beethoven's Fifth. Then the goal of audio matching is to find all audio fragments that musically correspond to the query in a given database. The retrieved matches should include the repetitions of the main theme in the exposition and recapitulation within the same performance as well as the corresponding excerpts in other recordings, arrangements, and synthesized versions (e.g., obtained from MIDI files). All the retrieved matches can then be presented and made accessible to a user by means of suitable interfaces. Extending the functionality of the [Interpretation Switcher](../C3/C3S3_MusicAppNav.html) (see Section 3.3.1.1 of [Müller, FMP, Springer 2015]), all the matching sections within the retrieved recordings can be highlighted, as indicated by the next figure. Based on this interface, the user can easily browse through and listen to the retrieved audio fragments, possibly starting a new retrieval process with a refined query or a retrieved item.\n",
"\n",
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" \n",
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Performer
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Theme (Exposition)
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Theme (Repetition of Exposition)
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Theme (Recapitulation)
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Bernstein
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Karajan
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Scherbakov (piano verison)
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]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overall Matching Approach\n",
"\n",
"In the audio matching scenario, we are given a query audio fragment $\\mathcal{Q}$ and a collection of database recordings. Without loss of generality (e.g., by concatenating all recordings), we assume that this collection is represented by a single document $\\mathcal{D}$. A typical matching approach proceeds along the following lines.\n",
"\n",
"* **First step:** The query $\\mathcal{Q}$ and the document $\\mathcal{D}$ are converted into sequences of audio features, say $X=(x_1,x_2,\\ldots,x_N)$ and $Y=(y_1,y_2,\\ldots,y_M)$, respectively. The length $N$ of the query sequence is typically much shorter than the length $M$ of the database sequence. The features used should capture piece-specific properties (e.g., harmonic and melodic aspects), while being invariant to performance-specific variations (e.g., local tempo, articulation, note execution, and instrumentation). As an example, we use [CENS features](../C7/C7S2_CENS.html) as introduced in Section 7.2.1 of [Müller, FMP, Springer 2015].\n",
"\n",
"* **Second step:** Based on the feature sequences $X$ and $Y$, one tries to identify subsequences in $Y$ that are similar to $X$. To this end, one may use techniqus such as diagonal matching or a subsequence variant of dynamic time warping. In both cases, one obtains a mathching curve $\\Delta:[0:M-1]\\to\\mathbb{R}$. The positions of all local minima of $\\Delta$ that are close to zero point to subsequences of $Y$ similar to $X$.\n",
"\n",
"* **Third step:** Using a suitable [strategy for selecting local minima](../C7/C7S2_DiagonalMatching.html) of $\\Delta$, one derives a ranked list of matching subsequences (called **matches**), constituting the result of the matching procedure.\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## DTW-Based Audio Matching: Beethoven Example\n",
"\n",
"In the following, we provide a concrete example implementation of an audio matching procedure following the lines as described above. Note that there are many alternatives (e.g., regarding feature representations, alignment strategies, and minimum selection) and different parameter choices, which may have a substantial impact on the final results. \n",
"\n",
"* As feature representation, we use [CENS features](../C7/C7S2_CENS.html) computed by the function `compute_cens_from_file`. In particular, starting with STFT-based chroma features with a feature resolution of $10~\\mathrm{Hz}$, we use $\\mathrm{CENS}^{21}_{5}$-features with a resolution of $2~\\mathrm{Hz}$.\n",
"\n",
"* We then compute a matching function using [subsequence DTW](../C7/C7S2_SubsequenceDTW.html). In our implementation, we use the function `compute_matching_function_dtw` with step size condition $\\Sigma=\\{(2, 1), (1, 2), (1, 1)\\}$.\n",
"\n",
"* As for the matching strategy, we follow the simple iterative retrieval procedure described in the [FMP notebook on diagonal matching](../C7/C7S2_DiagonalMatching.html) to identify local minima of the matching function. Note that, in the DTW-case, these local minima are [**end positions** of matching subsequences](../C7/C7S2_SubsequenceDTW.html). To obtain the respective start positions of the matches, we need to apply backtracking strategy for computing optimal warping paths (`libfmp.c7.compute_optimal_warping_path_subsequence_dtw_21`).\n",
"\n",
"We apply the matching procedure for our Beethoven example. As a query, we use the Bernstein recording of the first theme (first $21$ measures). Recall that the theme appears once more in the repetition of the exposition and, with some musical modifications, in the recapitulation. As for the database documents, we consider three different versions—two orchestral versions conducted by Bernstein and Karajan, respectively, and Liszt's piano transcription played by Scherbakov. \n",
"\n",
"For each version, we visualize the cost matrix $C$ along with the manually annotated ground-truth annotations of the theme (three occurrences per version). Furthermore, we show the resulting matching function with the top five matches. From the figures, one can make the following observations:\n",
"\n",
"* The matching functions clearly reveal the first two occurrences of the theme in all three versions. \n",
"* Due to significant differences in instrumentation, it is much harder to identify the Bernstein orchestral query in the Scherbakov piano version than in the Karajan orchestral version. \n",
"* Due to musical differences, it is much harder to identify the theme's third occurrence in the recapitulation than its second occurrence in the repetition of the exposition. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Query X: Bernstein (Theme 1); Database Y: Bernstein ===\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import os\n",
"import sys\n",
"import numpy as np\n",
"import librosa\n",
"import matplotlib.pyplot as plt\n",
"\n",
"sys.path.append('..')\n",
"import libfmp.b\n",
"import libfmp.c4\n",
"import libfmp.c7\n",
"%matplotlib inline\n",
"\n",
"def compute_cens_from_file(fn_wav, Fs=22050, N=4410, H=2205, ell=21, d=5):\n",
" \"\"\"Compute CENS features from file\n",
"\n",
" Notebook: C7/C7S2_AudioMatching.ipynb\n",
"\n",
" Args:\n",
" fn_wav (str): Filename of wav file\n",
" Fs (scalar): Feature rate of wav file (Default value = 22050)\n",
" N (int): Window size for STFT (Default value = 4410)\n",
" H (int): Hop size for STFT (Default value = 2205)\n",
" ell (int): Smoothing length (Default value = 21)\n",
" d (int): Downsampling factor (Default value = 5)\n",
"\n",
" Returns:\n",
" X_CENS (np.ndarray): CENS features\n",
" L (int): Length of CENS feature sequence\n",
" Fs_CENS (scalar): Feature rate of CENS features\n",
" x_duration (float): Duration (seconds) of wav file\n",
" \"\"\"\n",
" x, Fs = librosa.load(fn_wav, sr=Fs)\n",
" x_duration = x.shape[0] / Fs\n",
" X_chroma = librosa.feature.chroma_stft(y=x, sr=Fs, tuning=0, norm=None, hop_length=H, n_fft=N)\n",
" X_CENS, Fs_CENS = libfmp.c7.compute_cens_from_chromagram(X_chroma, Fs=Fs/H, ell=ell, d=d)\n",
" L = X_CENS.shape[1]\n",
" return X_CENS, L, Fs_CENS, x_duration\n",
"\n",
"def compute_matching_function_dtw(X, Y, stepsize=2):\n",
" \"\"\"Compute CENS features from file\n",
"\n",
" Notebook: C7/C7S2_AudioMatching.ipynb\n",
"\n",
" Args:\n",
" X (np.ndarray): Query feature sequence (given as K x N matrix)\n",
" Y (np.ndarray): Database feature sequence (given as K x M matrix)\n",
" stepsize (int): Parameter for step size condition (1 or 2) (Default value = 2)\n",
"\n",
" Returns:\n",
" Delta (np.ndarray): DTW-based matching function\n",
" C (np.ndarray): Cost matrix\n",
" D (np.ndarray): Accumulated cost matrix\n",
" \"\"\"\n",
" C = libfmp.c7.cost_matrix_dot(X, Y)\n",
" if stepsize == 1:\n",
" D = libfmp.c7.compute_accumulated_cost_matrix_subsequence_dtw(C)\n",
" if stepsize == 2:\n",
" D = libfmp.c7.compute_accumulated_cost_matrix_subsequence_dtw_21(C)\n",
" N, M = C.shape\n",
" Delta = D[-1, :] / N\n",
" return Delta, C, D\n",
"\n",
"def matches_dtw(pos, D, stepsize=2):\n",
" \"\"\"Derives matches from positions for DTW-based strategy\n",
"\n",
" Notebook: C7/C7S2_AudioMatching.ipynb\n",
"\n",
" Args:\n",
" pos (np.ndarray): End positions of matches\n",
" D (np.ndarray): Accumulated cost matrix\n",
" stepsize (int): Parameter for step size condition (1 or 2) (Default value = 2)\n",
"\n",
" Returns:\n",
" matches (np.ndarray): Array containing matches (start, end)\n",
" \"\"\"\n",
" matches = np.zeros((len(pos), 2)).astype(int)\n",
" for k in range(len(pos)):\n",
" t = pos[k]\n",
" matches[k, 1] = t\n",
" if stepsize == 1:\n",
" P = libfmp.c7.compute_optimal_warping_path_subsequence_dtw(D, m=t)\n",
" if stepsize == 2:\n",
" P = libfmp.c7.compute_optimal_warping_path_subsequence_dtw_21(D, m=t)\n",
" s = P[0, 1]\n",
" matches[k, 0] = s\n",
" return matches\n",
" \n",
"def compute_plot_matching_function_DTW(fn_wav_X, fn_wav_Y, fn_ann, \n",
" ell=21, d=5, stepsize=2, tau=0.2, num=5, ylim=[0,0.35]):\n",
" ann, _ = libfmp.c4.read_structure_annotation(fn_ann)\n",
" color_ann = {'Theme': [0, 0, 1, 0.1], 'Match': [0, 0, 1, 0.2]}\n",
" X, N, Fs_X, x_duration = compute_cens_from_file(fn_wav_X, ell=ell, d=d)\n",
" Y, M, Fs_Y, y_duration = compute_cens_from_file(fn_wav_Y, ell=ell, d=d)\n",
" Delta, C, D = compute_matching_function_dtw(X, Y, stepsize=stepsize)\n",
" pos = libfmp.c7.mininma_from_matching_function(Delta, rho=2*N//3, tau=tau, num=num)\n",
" matches = matches_dtw(pos, D, stepsize=stepsize)\n",
"\n",
" fig, ax = plt.subplots(2, 1, gridspec_kw={'width_ratios': [1], \n",
" 'height_ratios': [1, 1]}, figsize=(8, 4))\n",
" cmap = libfmp.b.compressed_gray_cmap(alpha=-10, reverse=True)\n",
" libfmp.b.plot_matrix(C, Fs=Fs_X, ax=[ax[0]], ylabel='Time (seconds)',\n",
" title='Cost matrix $C$ with ground truth annotations (blue rectangles)', \n",
" colorbar=False, cmap=cmap)\n",
" libfmp.b.plot_segments_overlay(ann, ax=ax[0], alpha=0.2, time_max=y_duration, \n",
" colors = color_ann, print_labels=False)\n",
"\n",
" title = r'Matching function $\\Delta_\\mathrm{DTW}$ with matches (red rectangles)'\n",
" libfmp.b.plot_signal(Delta, ax=ax[1], Fs=Fs_X, color='k', title=title, ylim=ylim)\n",
" ax[1].grid()\n",
" libfmp.c7.plot_matches(ax[1], matches, Delta, Fs=Fs_X, s_marker='', t_marker='o')\n",
" plt.tight_layout() \n",
" plt.show()\n",
"\n",
"data_dir = os.path.join('..', 'data', 'C7')\n",
"fn_wav_all = [os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Bernstein.wav'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Karajan.wav'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Scherbakov.wav')]\n",
"fn_ann_all = [os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Bernstein_Theme.csv'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Karajan_Theme.csv'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Scherbakov_Theme.csv')]\n",
"names_all = ['Bernstein', 'Karajan', 'Scherbakov (piano version)'] \n",
"fn_wav_X = os.path.join(data_dir, 'FMP_C7_Audio_Beethoven_Op067-01_Bernstein_Theme_1.wav')\n",
"\n",
"for f in range(3):\n",
" print('=== Query X: Bernstein (Theme 1); Database Y:', names_all[f],' ===')\n",
" compute_plot_matching_function_DTW(fn_wav_X, fn_wav_all[f], fn_ann_all[f])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## DTW-Based Audio Matching: Shostakovich Example\n",
"\n",
"As a second example, we consider the second Waltz of Shostakovich's Jazz Suite No. 2. We have already encountered this piece in the context of [tempo and beat tracking](../C6/C6S1_NoveltyComparison.html). This piece is of the form $A_1A_2BA_3A_4$, where the $A$-part consists of $38$ measures and appears four times (parts $A_1$, $A_2$, $A_3$, and $A_4$), each time in a different instrumentation. In part $A_1$ the melody is played by saxophone and wood instruments, then in $A_2$ by strings, in $A_3$ by trombone and brass, and finally in $A_4$ in a tutti version. We consider two different recordings of the Waltz (Chailly, Yablonsky), leading to a total number of eight occurrences of the theme. In the following audio example, we present the main theme of the $A$-part (16 measures) of each of the eight occurrences.\n",
"\n",
" \n",
"\n",
"
\n",
"
\n",
"
Performer
\n",
"
A1 (saxophone)
\n",
"
A2 (strings)
\n",
"
A3 (trombone)
\n",
"
A4 (tutti)
\n",
"
\n",
" \n",
"
\n",
"
Chailly
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
Yablonsky
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As query $\\mathcal{Q}$, we use the $16$-measure theme of $A_1$ in the Chailly interpretation. As database documents, we use the entire Chailly as well as the entire Yablonsky recording, respectively. In the following figures, we use the same matching procedure and parameter settings as in the Beethoven example above.\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Query X: Chailly (A1, 16 measures); Database Y: Chailly ===\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data_dir = os.path.join('..', 'data', 'C7')\n",
"fn_wav_all = [os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly.wav'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Yablonsky.wav')]\n",
"fn_ann_all = [os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly_Theme.csv'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Yablonsky_Theme.csv')]\n",
"names_all = ['Chailly', 'Yablonsky'] \n",
"fn_wav_X = os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly_Theme_1.wav')\n",
"\n",
"for f in range(2):\n",
" print('=== Query X: Chailly (A1, 16 measures); Database Y:', names_all[f],' ===')\n",
" compute_plot_matching_function_DTW(fn_wav_X, fn_wav_all[f], fn_ann_all[f], ylim=[0, 0.25])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at the results, we want to make several comments:\n",
"\n",
"* All four occurrences in both of the versions appear as the top four matches, respectively. \n",
"* Even though the Yablonsky version is faster than the Chailly version, these tempo variations are successfully handled by the DTW-based matching strategy. \n",
"* In both versions, the occurrence in $A_3$ (trombone version) has the largest $\\Delta_\\mathrm{DTW}$-distance. This is due to the fact that the spectra of low-pitched instruments (e.g., the trombone) generally exhibit phenomena such as oscillations and smearing, which in turn results in \"noisy\" CENS- features. \n",
"\n",
"To indicate the limitations of our matching procedure, we next use the first $16$ measures of $A_3$ (trombone version) as the query $\\mathcal{Q}$ and repeat the experiment. While the $A_3$-theme in the Yablonsky-version could be identified correctly, it now becomes much harder to identify the remaining occurrences. As a result, the number of false-positive and false-negative matches increases."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Query X: Chailly (A3, 16 measures); Database Y: Chailly ===\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fn_wav_X = os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly_Theme_3.wav')\n",
"\n",
"for f in range(2):\n",
" print('=== Query X: Chailly (A3, 16 measures); Database Y:',names_all[f],' ===')\n",
" compute_plot_matching_function_DTW(fn_wav_X, fn_wav_all[f], fn_ann_all[f], ylim=[0,0.25])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The quality of the matching results also crucially depends on the length of the query: queries of short duration ([having low specificity](../C7/C7_ContentBasedAudioRetrieval.html)) will generally lead to a large number of spurious matches, while enlarging the query length ([thus increasing its specificity](../C7/C7_ContentBasedAudioRetrieval.html)) will generally reduce the number of such matches. We illustrate this by considering $32$ measures (instead of $16$ measures) of $A_3$ of the Chailly recording as the query $\\mathcal{Q}$."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Query X: Chailly (A3, 32 measures); Database Y: Chailly ===\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fn_wav_X = os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly_Theme_3_32.wav')\n",
"fn_ann_all = [os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Chailly_Theme_32.csv'),\n",
" os.path.join(data_dir, 'FMP_C7_Audio_Shostakovich_Waltz-02_Yablonsky_Theme_32.csv')]\n",
"\n",
"\n",
"for f in range(2):\n",
" print('=== Query X: Chailly (A3, 32 measures); Database Y:',names_all[f],' ===')\n",
" compute_plot_matching_function_DTW(fn_wav_X, fn_wav_all[f], fn_ann_all[f], ylim=[0, 0.2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Transposition-Invariant Matching Function\n",
"\n",
"In retrieval applications, one may want to identify audio excerpts even if they are played in a different musical key. We now discuss how one can handle possible transpositions between the query and matching database sections. As an example, let us consider the song \"In the Year 2525\" by Zager and Evans, which we already encountered in the [FMP notebook on transposition-invariant SSMs](../C4/C4S2_SSM-TranspositionInvariance.html). The song has the overall musical structure $IV_1V_2V_3V_4V_5V_6V_7BV_8O$. It starts with a slow intro, which is represented by the $I$-part. The verse of the song, which is represented by the $V$-part, occurs eight times. While the first four verse sections are in the same musical key, $V_5$ and $V_6$ are transposed by one semitone upwards, and $V_7$ and $V_8$ are transposed by two semitones upwards.\n",
"\n",
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I
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V1
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V2
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V3
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V4
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V5
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V6
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V7
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B
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V8+O
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"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As discussed the [FMP notebook on transposition and tuning](../C3/C3S1_TranspositionTuning.html) (see also Section 3.1.2 of [Müller, FMP, Springer 2015]), one can simulate transpositions by cyclically shifting the chroma features along the $12$-dimensional chroma axis. To this end, we introduced the **cyclic shift operator** $\\rho:\\mathbb{R}^{12} \\to \\mathbb{R}^{12}$ given by \n",
"\n",
"\\begin{equation}\n",
" \\rho(x):=(x(11),x(0),x(1),\\ldots,x(10))^\\top\n",
"\\end{equation}\n",
"\n",
"for $x=(x(0),x(1),\\ldots,x(10),x(11))^\\top\\in\\mathbb{R}^{12}$. Applying $\\rho$ successively, one obtains the twelve different cyclic shifts $\\rho^i$ for $i\\in[0:11]$. Furthermore, let \n",
"\n",
"\\begin{equation}\n",
" \\rho^i(X)=(\\rho^i(x_1),\\rho^i(x_2),\\ldots,\\rho^i(x_N))\n",
"\\end{equation}\n",
"\n",
"be the shifted versions of the query $X$ for $i\\in[0:11]$. Then, the idea is to use each of the twelve sequences $\\rho^i(X)$ as a separate query to retrieve matches from the database. To this end, one first computes a separate matching function, say $\\Delta^{i}$, for each $\\rho^i(X)$ and $Y$. The **transposition-invariant matching function** $\\Delta^\\mathrm{TI}$ is then obtained by setting \n",
"\n",
"\\begin{equation}\n",
" \\Delta^\\mathrm{TI}(m):= \\min_{i\\in [0:11]} \\Delta^{i}(m)\n",
"\\end{equation}\n",
"\n",
"for $m\\in[0:M-1]$. We now illustrate this procedure by means of the song \"In the Year 2525\" by Zager and Evans using the first verse section $V_1$ as the query $X$ and the entire song as our database sequence $Y$. In the following, we use the same implementation for the DTW-based matching approach as before. In particular, we have $\\Delta^{0}=\\Delta_\\mathrm{DTW}$. In our visualization, we show the matching functions $\\Delta^{i}$ for $i=0,1,2,3$ as well as the transposition-invariant matching function $\\Delta^\\mathrm{TI}$. The first eight local minima $\\Delta^\\mathrm{TI}$ correctly indicate the end positions of the eight verse sections.\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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"
"
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"source": [
"def compute_matching_function_dtw_ti(X, Y, cyc=np.arange(12), stepsize=2):\n",
" \"\"\"Compute transposition-invariant matching function\n",
"\n",
" Notebook: C7/C7S2_AudioMatching.ipynb\n",
"\n",
" Args:\n",
" X (np.ndarray): Query feature sequence (given as K x N matrix)\n",
" Y (np.ndarray): Database feature sequence (given as K x M matrix)\n",
" cyc (np.nda(rray): Set of cyclic shift indices to be considered (Default value = np.arange(12))\n",
" stepsize (int): Parameter for step size condition (1 or 2) (Default value = 2)\n",
"\n",
" Returns:\n",
" Delta_TI (np.ndarray): Transposition-invariant matching function\n",
" Delta_ind (np.ndarray): Cost-minimizing indices\n",
" Delta_cyc (np.ndarray): Array containing all matching functions\n",
" \"\"\"\n",
" M = Y.shape[1]\n",
" num_cyc = len(cyc)\n",
" Delta_cyc = np.zeros((num_cyc, M))\n",
" for k in range(num_cyc):\n",
" X_cyc = np.roll(X, k, axis=0)\n",
" Delta_cyc[k, :], C, D = compute_matching_function_dtw(X_cyc, Y, stepsize=stepsize)\n",
" Delta_TI = np.min(Delta_cyc, axis=0)\n",
" Delta_ind = np.argmin(Delta_cyc, axis=0)\n",
" return Delta_TI, Delta_ind, Delta_cyc\n",
" \n",
"data_dir = os.path.join('..', 'data', 'C7')\n",
"fn_wav = os.path.join(data_dir, 'FMP_C7_Audio_ZagerEvans_InTheYear2525.wav')\n",
"fn_ann = os.path.join(data_dir, 'FMP_C7_Audio_ZagerEvans_InTheYear2525.csv')\n",
"fn_wav_X = os.path.join(data_dir, 'FMP_C7_Audio_ZagerEvans_InTheYear2525_Part-V1.wav')\n",
"\n",
"ann, _ = libfmp.c4.read_structure_annotation(fn_ann)\n",
"ann_color = {'I': 'white', 'V1': 'red', 'V2': 'red', 'V3': 'red', 'V4': 'red', 'V5': 'green', 'V6': 'green',\n",
" 'V7': 'blue', 'B': 'white', 'V8': 'blue', 'O': 'gray', '': 'white'}\n",
"\n",
"X, N, Fs_X, x_duration = compute_cens_from_file(fn_wav_X, ell=21, d=5)\n",
"Y, M, Fs_Y, y_duration = compute_cens_from_file(fn_wav, ell=21, d=5)\n",
"\n",
"Delta_TI, Delta_ind, Delta_cyc = compute_matching_function_dtw_ti(X, Y)\n",
"pos = libfmp.c7.mininma_from_matching_function(Delta_TI, rho=2*N//3, tau=0.1, num=8)\n",
"\n",
"fig, ax = plt.subplots(6, 1, figsize=(7, 8), gridspec_kw={'height_ratios': [1, 1, 1, 1, 1, 0.25]}) \n",
"\n",
"color_set = ['red', 'green', 'blue', 'gray', 'gray', 'gray', 'gray', 'gray', 'gray', 'gray', 'gray', 'gray']\n",
"for k in range(4):\n",
" libfmp.b.plot_signal(Delta_cyc[k,:], ax=ax[k], xlabel='', ylabel = r'$\\Delta^{%d}$' % k,\n",
" color=color_set[k], ylim=[0, 0.3])\n",
" ax[k].grid()\n",
"\n",
"for k in range(12):\n",
" libfmp.b.plot_signal(Delta_cyc[k,:], ax=ax[4], color=color_set[k], ylim=[0, 0.3])\n",
" \n",
"libfmp.b.plot_signal(Delta_TI, ax=ax[4], color='k', linewidth='3', ylim=[0, 0.3],\n",
" ylabel = r'$\\Delta^{\\mathrm{TI}}$', xlabel='')\n",
"ax[4].grid() \n",
"libfmp.b.plot_segments(ann, ax=ax[5], nontime_axis=False, adjust_nontime_axislim=False,\n",
" colors=ann_color, alpha=0.25)\n",
"ax[4].plot(pos, Delta_TI[pos], 'ro')\n",
"ax[5].set_xlabel('Time (seconds)')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Further Notes\n",
"\n",
"As noted before, there are many design choices when implementing an audio matching procedure. The requirements of the system also very much depend on the musical application and genre to be considered in the matching. \n",
"\n",
"* In this notebook, using [chroma-based features](../C7/C7S2_CENS.html), we presented a system that is suitable for identifying harmonically similar sections of Western music. This is a reasonable choice when considering the case of different performances of Western classical music.\n",
"\n",
"* We showed that the quality of the matching results depends on the length of the query. For many Western classical music pieces, it turns out that a query length of at least $20$ seconds of duration yields reasonable results. In our implementation, using a feature resolution of $2~\\mathrm{Hz}$, results in a query feature length of $N=40$.\n",
"\n",
"* Subsequence DTW introduces a lot of flexibility to compensate for temporal deformations between query and database section. When using the step size condition $\\Sigma=\\{(1, 0), (0, 1), (1, 1)\\}$, there is the tendency of overcompensation, which may result in a large number of false-positive matches. In practice, the set $\\Sigma=\\{(2, 1), (1, 2), (1, 1)\\}$ turns out to constitute a good compromise between temporal flexibility and robustness. \n",
"\n",
"* In original paper on [Audio Matching via Chroma-Based Statistical Features](https://www.audiolabs-erlangen.de/fau/professor/mueller/publications/2005_MuellerKurthClausen_AudioMatching_ISMIR.pdf)\n",
"a [multiple-query diagonal matching](../C7/C7S2_DiagonalMatching.html) is used instead of subsequence DTW. Even though being less flexible than subsequence DTW, diagonal matching in combination with the strong local smoothing of [CENS features](../C7/C7S2_CENS.html) turns out to be a good alternative—in particular if the query sequence length is not too long. \n",
"\n",
"* Using diagonal matching with multiple queries also may have advantages when accelerating the matching process using indexing techniques. This strategy was applied by Kurth and Müller ([Efficient Index-Based Audio Matching](https://ieeexplore.ieee.org/document/4432645/)) as well as by Grosche and Müller ([Toward Characteristic Audio Shingles for Efficient Cross-Version Music Retrieval](https://www.audiolabs-erlangen.de/fau/professor/mueller/publications/2012_GroscheMueller_RetrievalShingles_ICASSP.pdf)).\n",
"\n",
"* The concept of transposition-invariant matching functions is based on the same idea as the one used in the [FMP notebook on transposition-invariant SSMs](../C4/C4S2_SSM-TranspositionInvariance.html). Conceptually, it is also related to using [multiple queries in diagonal matching](../C7/C7S2_DiagonalMatching.html) to simulating different tempi.\n"
]
},
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"source": [
"