{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Measure distance between spectrograms using Dynamic Time Warping and Optimal Transport\n",
"In this example, we will explore [Dynamic Time Warping (DTW)](https://en.wikipedia.org/wiki/Dynamic_time_warping) and see if we can combine it with optimal transport. The application is distance measurement between two spectrograms. The Euclidean distance is typically poorly suited for this task, even if we allow some warping along the time axis. The reason is that even a small shift in frequencies produces a large difference in Euclidean distance. This problem is described in more detail in [\"New Metrics Between Rational Spectra and their Connection to Optimal Transport\", Bagge and Chitre 2020](https://arxiv.org/abs/2004.09152). \n",
"We would thus like to use a transport-based (Wasserstein) distance along the frequency axis, and let the time warping take care of shifts along the time axis."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"using DynamicAxisWarping, DSP, LPVSpectral, Distances, Plots, Suppressor"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by creating two signals. The two signals will be the same, but shifted along the time axis."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"N = 48_000\n",
"g(x,N) = exp(-10*(x-N/2)^2/N^2)\n",
"t = 1:N\n",
"f = range(0.01, stop=1, length=N)\n",
"y = sin.(t .* f) .* g.(t, N)\n",
"y1 = [y; 0y] .+ 0.1 .* randn.()\n",
"y2 = [0y; y] .+ 0.1 .* randn.()\n",
"\n",
"plot([y1 y2][1:100:end,:])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M1,M2 = melspectrogram.((y1,y2), 2048)\n",
"@suppress plot(plot(M1), plot(M2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then calculate the Dynamic Time-Warping cost between them (I do this in √ domain since that appears to produce the nicest looking plots)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"400275.6637208654"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dtw(.√(M1.power), .√(M2.power))[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visualize the coupling matrix. The green line should cross diagonally (since the two signals are the same) starting halfway along the axes (since one signal is shifted by 50% of the length copared to the other)."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@suppress dtwplot(.√(M1.power), .√(M2.power), linecolor=:green)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The code above used the squared Euclidean distance between spectra for each time point. We can replace that distance with a transport-based distance instead.\n",
"We thus combine dynamic time warping with a transport-based cost along the frequency axis"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2053.154121418348"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using SpectralDistances\n",
"n,m = size(M1.power)\n",
"dist = DiscreteGridTransportDistance(SqEuclidean(), n, n)\n",
"dtw(.√(M1.power), .√(M2.power), dist)[1]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@suppress dtwplot(.√(M1.power), .√(M2.power), dist, linecolor=:green)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now see that the valley through which the path can move is slightly wider. This happens since there is now an additional degree of freedom due to transport along the frequency axis. Since there is no need for that transport in this case, the resulting path remains almost the same.\n",
"We can create the need for some transport along the frequency axis by modifying one of the chirps"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f1 = range(0.01, stop=1, length=N)\n",
"f2 = range(0.1, stop=1, length=N).^2\n",
"y10 = sin.(t .* f1) .* g.(t, N)\n",
"y20 = sin.(t .* f2) .* g.(t, N)\n",
"y1 = [y10; 0y10] .+ 0.1 .* randn.()\n",
"y2 = [0y20; y20] .+ 0.1 .* randn.()\n",
"M1,M2 = melspectrogram.((y1,y2), 2048)\n",
"@suppress plot(plot(M1), plot(M2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now redo the same stuff as above"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.21887981339534e6"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dtw(.√(M1.power), .√(M2.power))[1]"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@suppress dtwplot(.√(M1.power), .√(M2.power), linecolor=:green)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now see that the signal coupling has been warped, the green line does no longer cut straight through the map, rather, it is kind-of crooked."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5384.592073819727"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dtw(.√(M1.power), .√(M2.power), dist)[1]"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Plot{Plots.GRBackend() n=2}"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@suppress dtwplot(.√(M1.power), .√(M2.power), dist, linecolor=:green)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the transport-based loss, we expect to see less time warping (straighter green line) since now it's allowed to fudge the distance a bit by shuffling mass along the frequency axis.\n",
"How long time does it take to compute such a distance? (on a laptop, expect about 3x improvement on desktop)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 252.142 ms (33957 allocations: 10.28 MiB)\n"
]
},
{
"data": {
"text/plain": [
"(59127.46353764505, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1 … 83, 84, 85, 86, 87, 88, 89, 90, 91, 92], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 92, 92, 92, 92, 92, 92, 92, 92, 92, 92])"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@btime dtw($(M1.power), $(M2.power), $dist)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The size of the spectrogram"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(128, 92)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"size(M1.power)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The complexity is almost linear in the number of frequency bins, but quadratic in the number of time steps. There are wuite some things that can be done to speed things up. Apart from the obvious use of multiple threads, one can also radius-limit the search, so that only a band around the main diagonal of the coupling matrix is computed."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.4.1",
"language": "julia",
"name": "julia-1.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.4.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}