\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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:38:55.844576Z",
"iopub.status.busy": "2024-02-15T08:38:55.844282Z",
"iopub.status.idle": "2024-02-15T08:39:03.321428Z",
"shell.execute_reply": "2024-02-15T08:39:03.320662Z"
}
},
"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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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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:39:03.359442Z",
"iopub.status.busy": "2024-02-15T08:39:03.359086Z",
"iopub.status.idle": "2024-02-15T08:39:27.164543Z",
"shell.execute_reply": "2024-02-15T08:39:27.163791Z"
}
},
"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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:39:27.167580Z",
"iopub.status.busy": "2024-02-15T08:39:27.167342Z",
"iopub.status.idle": "2024-02-15T08:39:27.992611Z",
"shell.execute_reply": "2024-02-15T08:39:27.992068Z"
}
},
"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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:39:27.995867Z",
"iopub.status.busy": "2024-02-15T08:39:27.995679Z",
"iopub.status.idle": "2024-02-15T08:39:28.809435Z",
"shell.execute_reply": "2024-02-15T08:39:28.808625Z"
}
},
"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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:39:28.813498Z",
"iopub.status.busy": "2024-02-15T08:39:28.813295Z",
"iopub.status.idle": "2024-02-15T08:39:29.760639Z",
"shell.execute_reply": "2024-02-15T08:39:29.760085Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Query X: Chailly (A3, 32 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_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": {
"execution": {
"iopub.execute_input": "2024-02-15T08:39:29.763300Z",
"iopub.status.busy": "2024-02-15T08:39:29.763112Z",
"iopub.status.idle": "2024-02-15T08:39:30.816854Z",
"shell.execute_reply": "2024-02-15T08:39:30.816274Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"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"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"