diff --git a/docs/examples/everything_is_a_timescale.ipynb b/docs/examples/everything_is_a_timescale.ipynb new file mode 100644 index 0000000..d2e0678 --- /dev/null +++ b/docs/examples/everything_is_a_timescale.ipynb @@ -0,0 +1,305 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "fb1e92e2-18cf-4e0f-860a-28bccaecf6c5", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from timescales.autoreg import ARPSD, ar_spectrum\n", + "from neurodsp.spectral import compute_spectrum" + ] + }, + { + "cell_type": "markdown", + "id": "df702fb3-928e-4418-b1b7-80163a8fbe76", + "metadata": {}, + "source": [ + "#### \"Everything\" is a timescale\n", + "\n", + "Any PSD can be represented by a product of AR(1) PSDs. Starting with the autoregressive PSD, AR(p):\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "P(f) &= \\frac{\\sigma^{2}}{|1 - \\sum\\limits_{k=1}^p \\varphi_{k} e\\strut^{-j 2 \\pi f k}|^{2}}\n", + "\\end{align*}\n", + "$$\n", + "\n", + "The denominator is a polynomial. Let $x = e^{-j 2 \\pi f}$, then:\n", + "\n", + "$$\n", + "1 - \\sum\\limits_{k=1}^p \\varphi_{k} x^k = 1 - \\varphi_{1} x - \\varphi_{2} x^2 - \\varphi_{3} x^3 \\cdots \\varphi_{k} x^k\n", + "$$\n", + "\n", + "The polynomial form means the AR PSD is a universal approximator (see the Weierstrass approximation theorem), meaning the AR PSD model can fit any spectral form to a desired degree of error, given a large enough AR order. Polynomials can be solved to roots, e.g. $2 - 3x - 2x^2 = (-2x + 1) (x + 2)$. The polynomial roots below are represented by $r_i$.\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "P(f) &= \\frac{1}{|\\prod_{i=1}^{m} (e\\strut^{-j 2 \\pi f}-r_i)|^{2}} \\\\\n", + "&= \\frac{1}{|e\\strut^{-j 2 \\pi f} - r_1|^2} \\frac{1}{|e\\strut^{-j 2 \\pi f} - r_2|^2}\n", + " \\cdots \\frac{1}{|e\\strut^{-j 2 \\pi f} - r_m|^2}\n", + "\\end{align*}\n", + "$$\n", + "\n", + "The roots allow us to represent an AR(p) as a series of products, where each term in the product is an AR(1). The roots are AR(1), with $\\varphi = \\frac{1}{r_i}$ and an offset or scaling adjustment of $r_i^{-2}$:\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "P_i(f) &=\\frac{1}{|e\\strut^{-j 2 \\pi f} - r_i | ^2} \\\\\n", + " &=\\frac{1}{|-r_i (-e\\strut^{-j 2 \\pi f} + \\frac{1}{r_i}) | ^2} \\\\\n", + " &=\\frac{1}{|-r_i|^2 |-e\\strut^{-j 2 \\pi f} + \\frac{1}{r_i}| ^2} \\\\\n", + " &=\\frac{r_i^{-2}}{| 1 - \\frac{1}{r_i} e\\strut^{-j 2 \\pi f}| ^2} \\\\\n", + "\\end{align*}\n", + "$$\n", + "\n", + "Analogous to tiny oscillators, e.g. everything is assumed to be oscillating in the Fourier transform, everything can be decomposed into a set of timescale processes. The difference is that the Fourier transform assumes components are additive rather than multiplicative.\n", + "\n", + "To demonstrate this, we can simulate model mismatch, here it will be the the _sum_ of two AR(1) PSDs, note that the AR(p) PSD assumes multiplicity of the AR(1), not sums, so this is still mismatch." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "9be9bc5a-c3ab-4fdf-934e-9678783bc527", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Simulate spectral form\n", + "fs = 1000\n", + "freqs = np.linspace(.1, fs//2, fs)\n", + "\n", + "k = np.arange(1, 2)\n", + "exp = np.exp(-2j * np.pi * np.outer(freqs, k) / fs).T\n", + "\n", + "powers = ar_spectrum(exp, 0.95, 1.) + ar_spectrum(exp, 0.4, 40.)\n", + "\n", + "plt.loglog(freqs, powers);" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6776c3ac-166b-4ac6-a7ef-7489d72ebf42", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Warning: this is slow-ish to fit. todo is a a fast polynomial solver\n", + "# Fit PSD with AR(50)\n", + "order = 50\n", + "ar = ARPSD(order, fs, ar_bounds=(0, 10))\n", + "ar.fit(freqs, powers)\n", + "ar.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2ccbb3b3-f159-4e92-8f66-161fb7e7f6ba", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Split AR parameters from scaling constant\n", + "phi, scale = -ar.params[:-1], ar.params[-1]\n", + "\n", + "# Solve poly roots\n", + "coef = np.array([1, *phi])\n", + "p = np.polynomial.Polynomial(coef)\n", + "roots = p.roots()\n", + "\n", + "# PSD: components and product\n", + "exp = np.exp(-1j * 2 * np.pi * freqs * (1/fs))\n", + "const = 1 / np.abs(p.coef[-1])**2\n", + "\n", + "powers_prod = np.zeros((order, len(freqs)))\n", + "powers_fit = const\n", + "\n", + "for i in range(order):\n", + " powers_prod[i] = 1 / np.abs((exp-roots[i]))**2\n", + " powers_fit *= powers_prod[i]\n", + "\n", + "# Plot\n", + "plt.figure(0)\n", + "for _powers in powers_prod:\n", + " plt.loglog(freqs, _powers)\n", + "\n", + "plt.xlabel(\"Frequency\")\n", + "plt.ylabel(\"Power\");" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "dda897e0-a1c7-47c2-b4b2-855bd5b12262", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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bPV3uSERkYZKw4Yu/ZGRkwMXFBenp6dDpdHLHISKZrFvxCfqcewMmISGl70p4N+4pdyQieoCS/H7b5BodIqK7Pf70i9hi3xMKSUCzfgz0t6/KHYmILIRFh4hsnkqpQP1Rn+IMqsFVpOPaV8MAk0nuWERkASw6REQAqni64WaPz5EjtAjKPILz69+XOxIRWQCLDhHR39q2aIntgRMBACJuJZJvZ8kbiIgeGYsOEdFdug2bgk8cXkTvvJmY+MNxGE02e7wGkVVg0SEiuoudRoWeI9+ApHHE/oupiNp5Xu5IRPQIWHSIiP6jupcT3ulTHxJMyN65EBf+WC93JCIqJRYdIqIi9G9SBR8E7Mc01Qq4bh2P7NvX5Y5ERKXAokNEVARJktBt6BQkSFXhIW7j0rJRgO2eX5Wo0mLRISK6DxcXF2T0iIJeKFEvYw9ObPpM7khEVEIsOkREDxDWvAP2Vh0NAKh2aDZSrl6QORERlQSLDhHRQ7SKnI3TytpwRg6Sv3kOgmdNJqo0WHSIiB5Cq9FCO/Bz5Ak1auUew6ZtW+SORETFpJI7ABFRZVC9TmPsbDAbHxwBEn4HajfOQoi3k9yxiOghuEaHiKiY2vcfC48a4cgrMGHiqqPQG7gJi6iiY9EhIiomhULCvIFhcLFXQ1z7E1u//0juSET0ENx0RURUAr4udojqpETz7W/BdE6B43Gt0KBRM7ljEdF9cI0OEVEJtWnTCRecwqGVCqBcPxZZuXlyRyKi+2DRISIqKUlClcgvkQkHhJrO4/dlb8qdiIjug0WHiKgUnL2r4XrrdwAAna5/hT/27ZI3EBEViUWHiKiUQrqMQrxrO2gkIzy2jkdKeqbckYjoP1h0iIhKS5JQLXIJ0iVn1MJf2PTNfAhe+JOoQmHRISJ6BHZufsjoMh/vGCMx40o4fjh8Re5IRHQXFh0iokcU0HoQPDtPgIACszacRGJqjtyRiOhvLDpERBbwfLvqiAhyg0mfje+XR8Fo4iYsooqARYeIyAKUCgkL+9TAZu10vHp7Djau/0HuSEQEFh0iIoup6ucDY2BrKCSBJkffwJlL1+SORGTzWHSIiCwo+JmFSFH5IEC6gYsrJyKvwCh3JCKbxqJDRGRBkp0L1P0/AwD01G9BzA/R8gYisnEsOkREFuYS2gl/1YwEAHSMn41Dpy/InIjIdrHoEBGVgWpPvY8bmkD4SGm4+uPryMwrkDsSkU1i0SEiKgtqezg9/QX2KCPwbnYfzNpwSu5ERDaJRYeIqIw4VG8Bu2GrcVNyw49HrmDziWS5IxHZHBYdIqIyFBHkjjHtawAAvl/zI25k5MqciMi2sOgQEZWxV7rUwqe65Yg2vYH1yxfwwp9E5YhFh4iojGlUCkQ0bgQAGHTzY2z47Q95AxHZEBYdIqJy4NXtNSS7hMFZykWVnRPx1810uSMR2QQWHSKi8qBUwXv418iRHBAuxWNf9HQYjCa5UxFZPRYdIqJyovAIRl639wEAA7NWImbjOpkTEVk/Fh0ionLk3mIYLlfpCZVkQkTsVJy8fFPuSERWjUWHiKg8SRIChn6KS9ramFUwDONWn0R2vkHuVERWyyaLTlRUFEJDQxERESF3FCKyQZK9G1zG7cFp51a4mJKNGetPyh2JyGpJwoZP6JCRkQEXFxekp6dDp9PJHYeIbMyBi7cw+Iv98MdNvNWrPrq3aip3JKJKoSS/3za5RoeIqCJoXt0DHzRJw8+aafDZMhaXrqfJHYnI6rDoEBHJqG/HllApJDSSziI2ehL0Bh5yTmRJLDpERDJSeVaH/vGPAAD9c3/C2lVLZU5EZF1YdIiIZObWdAD+ChkGAOh2dib2xR6TORGR9WDRISKqAKo9PR9X7WvDTcqCw/rRuHE7U+5IRFaBRYeIqCJQaeE58jtkwwGNEI8t0e/AaLLZg2KJLIZFh4iogtB610BG90X4ztQV/7veEh/uOCd3JKJKj0WHiKgC8Ws5CHb9FiEfGny04xx2nrkhdySiSo1Fh4iogunXuCqGtagGBUyI/f4dXElm2SEqLRYdIqIK6M0n6uILl2i8iuW4/NVw5OkL5I5EVCmx6BARVUBalRIN+06CHiq00v+BXV9OkzsSUaXEokNEVEF51W2Nv5rPAgB0u/4lfvt5hcyJiCofFh0iogqs5mMv46RfPygkgSYHX8W54wfljkRUqbDoEBFVcHWf/Rzxdg3hLOXCcc0zSL1xVe5IRJUGiw4RUQWnUGvhN/oHXJV84WpKx8ffrefFP4mKiUWHiKgS0Hn4wvD0KozALCxLCsRbMScgBM+cTPQwLDpERJVEtdqNMHbIk1BIwKrDiVj+2ym5IxFVeCw6RESVSMfa3pjesy7CpPPosbMnTmyLljsSUYXGokNEVMmMahOMV6qcgY+Uhpq/T8aVuO1yRyKqsFh0iIgqGUmS0Or5j3BI2wJaqQAuMcORfumY3LGIKiQWHSKiSkijUaP6mO/xp6IOnJGNguX9kHfzL7ljEVU4LDpERJWUh5sbnEb8gAuoAk/TLaQueQKGrFtyxyKqUFh0iIgqseqBgcgesArJwh3+BZdxaNlkHnZOdBcWHSKiSq5h/QY43+1rxBhb4dmrT+CTX8/LHYmowmDRISKyAm1at0NGz8XIhR3mbzuL1YcSAa7ZIWLRISKyFsNbBuHFDjUACFxf/zYSlz/PskM2TyV3ACIispzXuteG+sZxvHhhLZQJAomrnBEwaD4gSXJHI5IF1+gQEVkRSZIwfugAfOc7GQAQcGYpEmNmyhuKSEYsOkREVkapkPDU6On4zv1FAEDAsUW4smmuzKmI5MGiQ0RkhTQqBfqN/R9+0EUCAKoe/B+ubftE5lRE5Y9Fh4jIStmplXj8pflY6zAQAOC7902cPn5Y5lRE5YtFh4jIijlo1egy7lOsd3gS0wqew8Afb+HwpVS5YxGVGxYdIiIr52yvQecJS3C52gBk5Rsw/KuD2H82Se5YROWCRYeIyAY4alX4akQE2tb0hJ3+NlxXdMP5nz+SOxZRmWPRISKyEfYaJb4Y3hRT/Y6ijnQZIYfewun1i+SORVSmWHSIiGyInVqJfi++h60uAwAAdWNnIHb1ezKnIio7LDpERDZGo1ai07gl+M1jEACgyan/w/5lUyFMJpmTEVkeiw4RkQ1SqZRo99Jn2Ft1NACgxV+fYd9nL8JoZNkh68KiQ0RkoySFAq2fm4cDtV8DAAQkb8eUb3YhV2+UNxiRBbHoEBHZuOaD30RsxFyMNL6Bn87kYtCSP3AjI0/uWEQWwaJDRERo8vjzeHdUb7g5qPHnlXTM+2gBTp87L3csokfGokNERACA5tU9EPNSazzlfg7vFsyF87c9sGff73LHInokLDpERGRWzcMRbz/TDbfUvqgq3UTYloFYt2YlhBByRyMqFRYdIiIqxKlKKDwm7MZfjg2hk3Lw+LGX8GPUNGTlFcgdjajEWHSIiOgeKmcvVJu4DQn+j0MlmTAwZTEOzeuDC1eS5Y5GVCIsOkREVDS1HYJHr0Bii1kwQImOhr34aski/HKcFwSlyoNFh4iI7k+SENBjIjKfXodNjv2wQt8GY1fE4r1Np2HgyQWpEmDRISKih3Kr0xbdJn2F59vVAAB8t/tP7Jw3GMnXEmVORvRgLDpERFQsKqUC03vWxafPNMEc7TfomrsZyiVtELvjB7mjEd0Xiw4REZVIzwZ+aDp4Bi4rA+GFNDTZ8xwORI1Cfm6W3NGI7lHiolNQUACVSoUTJ06URR4iIqoE/OpEwHfyfhz0HggAaH7zR1yf1wJXT++XORlRYSUuOmq1GoGBgTAaedE3IiJbprF3RLMXv0Rc+y9xE64INCbC+/ue2L/pG7mjEZmVatPVG2+8genTpyM1NdXSeYiIqJJp1HEgTC/8joPaVkiBC17YrcGrq48hK98gdzQiSKIU5/Vu3Lgxzp8/j4KCAlSrVg2Ojo6FHo+NjbVYwLKUkZEBFxcXpKenQ6fTyR2HiKhSMxpNWPrLH/i/vWkwCSDI3R5LO+pRI6KH3NHIypTk91tVmhfo27dvaZ5GRERWTKlU4PknWqNRvVRM/P4omqZvRo2fP8f5Q91RPfJzKBzd5I5INqhUa3SsBdfoEBGVjbQcPXYsfRN9Ur6ASjLhptIHyoFL4V6nrdzRyAqU5Pe71IeXp6Wl4csvv8S0adPM++rExsbi6tWrpZ0lERFZCVcHDfq//D52tPoGl4U3vIzXofu+Ny7+NAsw8WAWKj+lKjp//vknatWqhffffx/z5s1DWloaAGDNmjWYNm2aJfMREVElJUkSund/AgXP/Yad6nZQwYTqxxfg4sJuyL/NfxRT+ShV0Zk0aRJGjBiBc+fOwc7Ozjy9Z8+e2L17t8XCERFR5VcjwB8tX1uLmGrTkSO0CMo4ghlLY3D+Bk8wSGWvVEXn0KFDeOGFF+6ZXqVKFSQnJz9yKCIisi52GhX6jpyKYz1j8J7iOXyfEoReH/+OVYcuw4Z3FaVyUKqio9VqkZGRcc/0s2fPwsvL65FDERGRdWrZvBWee+V/aB3igdwCIxav2YqzH3RE5rV4uaORlSpV0enduzdmz56NgoICAHe2w16+fBlTp07Fk08+adGARERkXXx0dvjm2eaY2qMO3lF/jdq5R6Fc0g4Xd3wldzSyQqUqOvPnz0dWVha8vb2Rm5uL9u3bIyQkBM7OzpgzZ46lMxIRkZVRKCSM7VAD7kOWIE5RDw7IQ/U9r+DUp0NgyL13iwFRaT3SeXR+//13/Pnnn8jKykKTJk3QpUsXS2YrczyPDhGR/DJz8rD3q9fR9WY0lJLANWUVqAZFw7tWM7mjUQVVkt/vUhWdvLy8QkdbySkxMRHDhg3DjRs3oFKp8NZbb2HgwIHFei6LDhFRxfHbthjU/v0V+Eqp0EOF2PZfo0XHJ+SORRVQmRcdOzs7NGvWDO3bt0fHjh3RsmVL2Nvblzrwo0hKSsL169fRqFEjJCcnIzw8HGfPnr3n+ltFYdEhIqpYLicm4to3z8Eu7wYG6GdiYLNgvP1EPdhrlHJHowqkzIvO77//jt27d2PXrl3Yt28fDAYDmjZtivbt26NDhw7o2rVrqcM/qrCwMGzcuBEBAQEPHcuiQ0RU8egLjIjaHIsP994AANT2ssNnHQWCm1Su3SOo7JT5JSDatGmD6dOnY+vWrUhLS8POnTsREhKCDz74AD16lOwqtbt370avXr3g7+8PSZIQExNzz5ioqCgEBQXBzs4OzZs3x8GDB4uc15EjR2A0GotVcoiIqGLSqJV4pVcEvh3VHF7OWvS5HY3g9U/i9HfTAZNJ7nhUyZT6Wldnz57FkiVLMHz4cDz55JPYsGEDnnjiCSxYsKBE88nOzkZYWBiioqKKfHzVqlWYNGkSZsyYgdjYWISFhaF79+64ceNGoXGpqakYPnw4lixZUtq3REREFUibmp7YPL4Narne2fBQNz4Kpz/uz6OyqERKtemqSpUqyM3NRYcOHdChQwe0b98eDRs2hCRJjxZGkrB27Vr07dvXPK158+aIiIjAJ598AgAwmUwICAjAuHHj8PrrrwMA8vPz0bVrV4wePRrDhg277/zz8/ORn59vvp+RkYGAgABuuiIiqsCMJoGt385F5wv/B41kxF/qYLg8uxaufsFyRyOZlPmmKy8vL+Tk5CA5ORnJycm4fv06cnNzSxX2QfR6PY4cOVLosHWFQoEuXbrgjz/+AAAIITBixAh06tTpgSUHAN577z24uLiYb9zERURU8SkVEh4bPgWHO3yDm8IF1QoSUPB5J1w4fkDuaFQJlKroxMXFITk5Ga+//jry8/Mxffp0eHp6olWrVnjjjTcsFi4lJQVGoxE+Pj6Fpvv4+JivqbV3716sWrUKMTExaNSoERo1aoTjx48XOb9p06YhPT3dfEtMTLRYViIiKlutOj6O9KFbkCAFwAupcPlxIH47cUnuWFTBqUr7RFdXV/Tu3RutW7dGq1atsG7dOnz33Xc4cOBAuZ4duU2bNjAVc+c0rVYLrVZbxomIiKishNSsi/Rxv+Lk5wPwcWZHbF1xErN6A8NaBskdjSqoUq3RWbNmDcaPH4+GDRvCx8cHY8eORVZWFubPn4/Y2FiLhfP09IRSqcT169cLTb9+/Tp8fX0t9jpERFR5uLh7o+bknXBu3B8mAby17iQWxfwOk5FHZNG9SlV0xowZg2vXruH555/H0aNHcePGDXP5CQsLs1g4jUaD8PBw7NixwzzNZDJhx44daNmypcVeh4iIKheNWokPBjTE5G614I8UPH10KHZ/OAJ5+Xq5o1EFU6pNV/89tPtRZGVl4fz58+b7CQkJiIuLg7u7OwIDAzFp0iRERkaiadOmaNasGRYtWoTs7GyMHDnSYhmIiKjykSQJL3eqiZbZ2+F9OA2+GetwaMEN1H55NXTOPJKW7ij1RT2NRiNiYmJw+vRpAEBoaCj69OkDpbJkp+netWsXOnbseM/0yMhIREdHAwA++eQTzJ07F8nJyWjUqBE++ugjNG/evDSxC+GZkYmIrMPZnd+i2q6J0EoFOKkKhd8La+HuxV0crFWZXwLi/Pnz6NmzJ65evYratWsDAOLj4xEQEICff/4ZNWrUKF3ycsaiQ0RkPS4e3gqvjZFwRg4uKQJgNzIGvgEhcseiMlDm59EZP348atSogcTERMTGxiI2NhaXL19GcHAwxo8fX6rQREREj6J6025Ie3o9bsAdQaZESEu7IfF80acbIdtRqqLz22+/4YMPPoC7u7t5moeHB/7v//4Pv/32m8XCERERlURAnQiYnt2Kv6SqSDE5IXJVAi6lZMsdi2RUqqKj1WqRmZl5z/SsrCxoNJpHDkVERFRavoE14fTidszSzcbFTCUGf7Eff91i2bFVpSo6TzzxBJ5//nkcOHAAQggIIbB//36MGTMGvXv3tnRGi4uKikJoaCgiIiLkjkJERGXAw8sPUS88hhBvJySl52HF4v8h6cwhuWORDEq1M3JaWhpGjBiBDRs2QKW6c4S6wWBA7969ER0dDRcXF4sHLQvcGZmIyLrdyMzDkqgP8GbefNyGDnnDf4Ff9fpyx6JHVGZHXZlMJsydOxfr16+HXq9HYGAgIiMjIUkS6tati5CQyrV3O4sOEZH1u3nzBlIX90Bt0wVclXygeWE7vHwD5Y5Fj6DMjrqaM2cOpk+fDicnJ1SpUgWbNm1CTEwMevXqVelKDhER2QYvL2+4j47BVckHVcR13P6iHzIybssdi8pJiYrO8uXL8emnn2LLli2IiYnBhg0bsGLFimJfVJOIiEgOXn6BEM/8hNvQoZbxPC5GPYm8vDy5Y1E5KFHRuXz5Mnr27Gm+36VLF0iShGvXrlk8GBERkSVVDWmA1D7fIkdo0Sj/CGI/GQqDwSh3LCpjJSo6BoMBdnZ2haap1WoUFBRYNBQREVFZqNG4Pf7qFAWDUGD/bRfMWH8SpbwSElUSJbqopxACI0aMgFarNU/Ly8vDmDFj4OjoaJ62Zs0ayyUkIiKyoLrtB2K3JgAfr78FcTAR1b2dMapNsNyxqIyUqOhERkbeM23o0KEWC0NERFQe2rVsgWkFF/DupjOY9/NRNMB5NGvTVe5YVAZKVHSWLVtWVjmIiIjK1ei21ZGcdA29T05AzW1XccFlHWo0aCF3LLKwUp0ZmYiIqLKTJAnT+kVAbecERykPzj8NRsrVBLljkYWx6BARkc1Sa+xQdcwaXFIEwBupyFrWHwW5917LkSovFh0iIrJpLu6eUDzzA1KEC4IMF3F6ybMAj8SyGjZZdHhRTyIiultgjbq42PFTGIQCDW9vxbGYBXJHIgsp1UU9rQWvdUVERHfbtexNdPjrY9wQrkgddRB1An3kjkRFKLNrXREREVmztsNnY53zYPTXz8ILq04hPZcnxK3sWHSIiIj+plQq0G7MRxAugfjrVg7eWHucZ06u5Fh0iIiI7uLmqMEnQxpDpZCQeWIz9m7gOeQqMxYdIiKi/2gc6IaFTVPwteZ9hB2ZjkvnT8odiUqJRYeIiKgIj/cejHhNPThLucj57lnk5efLHYlKgUWHiIioCAqVGh7DopEFB4Qaz2D/sqlyR6JSYNEhIiK6D8+AWvir1RwAQNukaMT9vknmRFRSLDpEREQPUK/bs4hz7wmlJOCzfRzSb6fIHYlKgEWHiIjoIWqPXIyrki/8kIKtqz+VOw6VAIsOERHRQ9g7uyLj8cUYX/AyXksIx5aTyXJHomJi0SEiIiqGuk07wb/NMADAG2uP41YWj8KqDFh0iIiIiumVrjVRy8cJIusmfo2eJXccKgabLDq8ejkREZWGVqXEon41sVn7OgamRCFu27dyR6KH4NXLefVyIiIqoX1LxqPVta9xA+6wn3gYzq4eckeyKbx6ORERURlqMvRdXJH84I1UnPp2stxx6AFYdIiIiErIzsEJtzt9AABoenMtTh3ZI3Miuh8WHSIiolJo0LY3YnWdoZQEFJsmQV9gkDsSFYFFh4iIqJSCn1mELNijjvEs9qxeKHccKgKLDhERUSm5+QTiQoNXEG3ohqmng5GYmiN3JPoPFh0iIqJH0LD/FPwSMAkpBnvM+fm03HHoP1h0iIiIHoEkSZjVpx6UCgmbTyZh35/xckeiu7DoEBERPaI6vjqMa6LBSvUceMcMgl6vlzsS/Y1Fh4iIyAJGdaqHesrLCDEl4NDq9+WOQ39j0SEiIrIAZ3c/nG/4KgAg7FwUrl+9JG8gAsCiQ0REZDGN+0zAWVVtOEm5SPx+ktxxCCw6REREFqNQKqF4Yj6MQkLTzB2IP7hV7kg2j0WHiIjIgkIatcVB9yfu3Nn6FoTJJG8gG8eiQ0REZGE1BsxBjtBCqc/AjsMn5I5j02yy6ERFRSE0NBQRERFyRyEiIivkXaUaYsKWoLv+fczalYJ8g1HuSDZLEkIIuUPIJSMjAy4uLkhPT4dOp5M7DhERWZEcvQEd5u7Cjcx8TO9ZB8+3qyF3JKtRkt9vm1yjQ0REVNYcNCpM7l4bGhTg1q8fIzX1ltyRbBKLDhERURl5sklVrHT6ENOwDMdXvyN3HJvEokNERFRGlAoJjq2eAwBEJK1E4qULMieyPSw6REREZahuxyE4pwmFg5SPy2vfljuOzWHRISIiKkuSBGX3O5utWqT9jAsnDskcyLaw6BAREZWx6uFdEOfUFkpJIPPnN+WOY1NYdIiIiMqBR593YRAKNMrdj/g/Nskdx2aw6BAREZWDgJoNccizD3YYG+PTI5mw4dPYlSsWHSIionISNPRjvCimYt0VJ+yKvyl3HJvAokNERFRO/NycEdkqCADwwZZ4mExcq1PWWHSIiIjK0dj2NRCiTcfTNz/EwW3fyR3H6rHoEBERlSM3Rw3eCzyISNU2eByYC6PRJHckq8aiQ0REVM7q9nsd2bBDTdNFHNqyQu44Vo1Fh4iIqJw5ufviTMBgAIDH4QVcq1OGWHSIiIhkULv/tLvW6nwrdxyrxaJDREQkAyc3n0JrdQwGo8yJrBOLDhERkUxq95/+91qdBO6rU0ZssuhERUUhNDQUERERckchIiIb5uTmjRPBz+IzwxN4/6QzDNxXx+IkYcPnoM7IyICLiwvS09Oh0+nkjkNERDYoO9+ANu//its5BZg/MAxPhleVO1KFV5Lfb5tco0NERFRROGpVeL5dDQDAx7+e4746FsaiQ0REJLPhLauhg8NF/C/jDRzczCOwLIlFh4iISGaOWhXGVU1AG+VJeMcuhNHItTqWwqJDRERUAdTu9zqyYI8QUwKObuVaHUth0SEiIqoAnNy8cbLqnfPquB1eBGHiEViWwKJDRERUQdTpNxU5Qosaxos4tutHueNYBRYdIiKiCsLFwxfH/Z4EAGj/WMi1OhbAokNERFSB1OgzFXqhQt2CUzixf4vccSo9ldwBiIiI6F+efkHY4T8Smy9LuH7SCctbyZ2ocuMaHSIiogqmzqB3sFZ0xO4LGTh6+bbccSo1Fh0iIqIKpoqrPfo1rgIA+PTXszKnqdxYdIiIiCqgsR1qYLDyV0y/OAwXTh2RO06lxaJDRERUAVX3csLTrmcQrLiOm5vflztOpcWiQ0REVEHpuk0BADRN34bLF07LnKZyYtEhIiKqoILD2uOUXROoJBOu/sy1OqXBokNERFSBKdtPBgA0ubURKUmXZU5T+bDoEBERVWC1W/REvLoOtFIBzq6fK3ecSodFh4iIqCKTJOQ1Gw8AaHDtB2Rk8Lw6JcGiQ0REVME16PQ01qsfw0j9a1gRmyp3nEqFRYeIiKiCUyiV0PeYh8OiDr7am4C8AqPckSoNFh0iIqJKoHeYP/xc7HAzMx9rYxPljlNp2GTRiYqKQmhoKCIiIuSOQkREVCwalQJjm3vgTdU3CN/SD0aDQe5IlYIkhBByh5BLRkYGXFxckJ6eDp1OJ3ccIiKiB8rOTINhfihckI2jzReh8WMj5Y4ki5L8ftvkGh0iIqLKyNHZFaeqDgYAOB2JgjCZZE5U8bHoEBERVSK1er+KXKFBTcM5nNq3Qe44FR6LDhERUSXi4e2PY969AQCmPYvkDVMJsOgQERFVMoGPT4FBKNAgPxbn4/bIHadCY9EhIiKqZPyDauOoS2cAQPqO+TKnqdhYdIiIiCoht25T8KXhMYxP6Y/Lt3LkjlNhsegQERFVQiH1m2F39Um4KjzwxZ6LcsepsFh0iIiIKqkx7asDAFYfTkRKZq7MaSomFh0iIqJKqmV1D/TzvYlPpfdx4fvX5Y5TIbHoEBERVVKSJGFoXTU6K4+i7tXVyMrglc3/i0WHiIioEmvU5WlckqpChxycXP+R3HEqHBYdIiKiSkypVOJGg+cBAMHnv0Z+Ho/AuhuLDhERUSUX9vjzuAF3eCMVf276Qu44FQqLDhERUSWn1drjYkgkAMD7xBIYjUaZE1UcLDpERERWoH7v8ciAA6qZriBu+/dyx6kwVHIHICIiokfnpHPHzuCx2H72NuLP+uKHbgKSJMkdS3Zco0NERGQlGj45FT8puuHw1Tzsu3BL7jgVAosOERGRlfBw0uLpiEAAwOKd52VOUzGw6BAREVmR59oG4ynVb5iZOBLxxw/KHUd2LDpERERWpKqbA55xO4MQxTWkbp0ndxzZsegQERFZGbeukwEATTO241LCWZnTyItFh4iIyMoENmyHM3ZhUEtGXNn4gdxxZMWiQ0REZIUU7e6s1QlPWYcbSYkyp5EPiw4REZEVqtWyF86pa8Ne0uP8uvfljiMbFh0iIiJrJEnIbfkKACAs6Qek3U6ROZA8WHSIiIisVIMOg/Cz5jE8V/Aqlh9JlTuOLFh0iIiIrJSkUMD4+AL8YaqHZfsuIUdvkDtSuWPRISIismI96/si0N0Bt3MKsGp/gtxxyp1NFp2oqCiEhoYiIiJC7ihERERlSqVU4KU2/piq+g7dfu2JvOwMuSOVK0kIIeQOIZeMjAy4uLggPT0dOp1O7jhERERlQq/X4/p7DREgknCo1iREDJkhd6RHUpLfb1U5ZarUjEYjCgoK5I5BROVEo9FAobDJFd5kpTQaDRLrjUHAiRkIPvsV8nNfhdbeSe5Y5YJF5wGEEEhOTkZaWprcUYioHCkUCgQHB0Oj0cgdhchiwnu9gKQTH8MPKTi4/hM0G/S63JHKBYvOA/xTcry9veHg4ABJkuSORERlzGQy4dq1a0hKSkJgYCC/92Q1tFp7/FX3BfidnoNqp5cgP38CtFp7uWOVORad+zAajeaS4+HhIXccIipHXl5euHbtGgwGA9RqtdxxiCymUe+XcPP0p/DBLRzY8BmaD3hF7khljhuh7+OffXIcHBxkTkJE5e2fTVZGo1HmJESWZWfviIs1nwUA+J78AvoC6/87zqLzEFxtTWR7+L0naxbW7xWsUPTCkNwpWHP0qtxxyhyLDhERkQ2xc3BGbsfZuAovfLLzPAqMJrkjlSkWHSIiIhvzTPNq8HTS4MrtXMT8cVLuOGWKRcfKSJL0wNvMmTNlzRYTEyPb6xMR0R32GiUmtXLHZ+qFaL+9N/JyMuWOVGZYdKxMUlKS+bZo0SLodLpC0yZPnlyi+en1+jJKSkREcnqyVV00VP0Fb6Ti2E8fyB2nzLDoWBlfX1/zzcXFBZIkme9nZ2fjmWeegY+PD5ycnBAREYHt27cXen5QUBDeeecdDB8+HDqdDs8//zwA4IsvvkBAQAAcHBzQr18/LFiwAK6uroWeu27dOjRp0gR2dnaoXr06Zs2aBYPBYJ4vAPTr1w+SJJnvExGRPLR2DkgMmwgAqHthKTLSbsobqIyw6JSAEAI5eoMsN0tckiwrKws9e/bEjh07cPToUfTo0QO9evXC5cuXC42bN28ewsLCcPToUbz11lvYu3cvxowZgwkTJiAuLg5du3bFnDlzCj1nz549GD58OCZMmIBTp07h888/R3R0tHncoUOHAADLli1DUlKS+T4REckn/PHnkaAIhA7ZOP3D/+SOUyZ4Uc/7XBQsLy8PCQkJCA4Ohp2dHQAgR29A6Ntb5IiKU7O7w0FTsvM7RkdHY+LEiQ+8hEX9+vUxZswYvPzyywDurHlp3Lgx1q5dax7z9NNPIysrCxs3bjRPGzp0KDZu3Gied5cuXdC5c2dMmzbNPObbb7/FlClTcO3aNQB39tFZu3Yt+vbtW6L3QVTeivr+E1mrI1tXIHzfi8gVGuSMOQIPv0C5Iz1USS7qyTU6NiQrKwuTJ09G3bp14erqCicnJ5w+ffqeNTpNmzYtdD8+Ph7NmjUrNO2/948dO4bZs2fDycnJfBs9ejSSkpKQk5NTNm+IiIgeWZMug3FGVQf2kh4Xf3pb7jgWx0tAlIC9WolTs7vL9tqPavLkydi2bRvmzZuHkJAQ2NvbY8CAAffscOzo6FjieWdlZWHWrFno37//PY/xX8RERBWXpFBA32EGsH0wvG/uQ8L1VAT7uMsdy2JYdEpAkqQSbz6qSPbu3YsRI0agX79+AO6Uk0uXLj30ebVr175nn5r/3m/SpAni4+MREhJy3/mo1WqeUp+IqAJq2KYnPjv6OhZdrY22Wy7ii+HWU3S46cqG1KxZE2vWrEFcXByOHTuGIUOGwGR6+Bkxx40bh02bNmHBggU4d+4cPv/8c/zyyy+FTpP/9ttvY/ny5Zg1axZOnjyJ06dP4/vvv8ebb75pHhMUFIQdO3YgOTkZt2/fLpP3SEREpdP5qZdRoLDDtlPXsfd8itxxLIZFx4YsWLAAbm5uaNWqFXr16oXu3bujSZMmD31e69at8dlnn2HBggUICwvD5s2b8corrxTaJNW9e3ds3LgRW7duRUREBFq0aIGFCxeiWrVq5jHz58/Htm3bEBAQgMaNG5fJeyQiotKp6eOMYS2qQQET9vz0KQz6fLkjWQSPuirBUVf0r9GjR+PMmTPYs2eP3FGILI7ff7JVt7P1ODm3K9ogDofrvIamT7/58CfJgEddkcXNmzcPx44dw/nz5/Hxxx/j66+/RmRkpNyxiIjIgtwcNUDd3gCA2meikJGSJHOiR8eiQ8Vy8OBBdO3aFQ0aNMBnn32Gjz76CM8995zcsYiIyMKa9x+Pc4rqcEYOTq+cInecR1Z5DyGicrV69Wq5IxARUTlQq9XQd30P2DIIEbc24NSB7Qht3kXuWKXGNTpERERUSL2WPXDYtQcUkoD9lleQn58rd6RSY9EhIiKie9Qc9iFuQ4dg02XErpwpd5xSY9EhIiKie7h4+OJC+Js4aaqG2edr4nRShtyRSoVFh4iIiIoU/vhofFT9c5w2+mHi93HIK6h8Z7dn0SEiIqIiSQoF5gxoAk8nDeKvZ+LLddvljlRiLDpERER0X55OWnwwoCEmKH/C2OODcHL7N3JHKhEWHXokI0aMQN++feWOUaTk5GR07doVjo6OcHV1LbfXbdeuHVauXFns8SkpKfD29saVK1fKMBURUel1quODJlXsoZQEqv4+FVcvnpE7UrGx6FihESNGQJIkSJIEjUaDkJAQzJ49GwaDQe5oDxUdHW2xUrJw4UIkJSUhLi4OZ8+efeDYK1euQKPRoH79+kU+/s/nKUkSdDodIiIisG7dunvGrV+/HtevX8fTTz9tnrZkyRJ06NABOp0OkiQhLS2t0HM8PT0xfPhwzJgx46HvSQiBJUuWoHnz5nBycoKrqyuaNm2KRYsWIScn56HPtxW7du0q8rMmotJr/uw8nFXVgguyof92EHKy0uSOVCwsOlaqR48eSEpKwrlz5/Dqq69i5syZmDt3bpFj9Xp9OacrHxcuXEB4eDhq1qwJb2/vB46Njo7GU089hYyMDBw4cKDIMcuWLUNSUhIOHz6M1q1bY8CAATh+/HihMR999BFGjhwJheLfr1ZOTg569OiB6dOn3/f1R44ciRUrViA1NfWBOYcNG4aJEyeiT58+2LlzJ+Li4vDWW29h3bp12Lp16wOfS0T0KOzs7OEy4nukwBXBpkuI/3QwDAWV4PdD2LD09HQBQKSnp9/zWG5urjh16pTIzc2VIdmjiYyMFH369Ck0rWvXrqJFixaFHv/f//4n/Pz8RFBQkBBCiD///FN07NhR2NnZCXd3dzF69GiRmZlpnofBYBCvvPKKcHFxEe7u7uK1114Tw4cPL/Ra1apVEwsXLiz02mFhYWLGjBnm+7dv3xbPP/+88Pb2FlqtVtSrV09s2LBB7Ny5UwAodLv7ef/16aefiurVqwu1Wi1q1aolli9fXijH3fOJjIy873xMJpOoXr262Lx5s5g6daoYPXr0PWMAiLVr15rvZ2RkCADiww8/NE+7ceOGkCRJnDhxosjX+ef93b59u8jHg4ODxZdffnnfnKtWrRIARExMTJHvIS0tTQghhNFoFLNmzRJVqlQRGo1GhIWFiV9++cU8NiEhQQAQq1atEm3atBF2dnaiadOmIj4+Xhw8eFCEh4cLR0dH0aNHD3Hjxg3z8/75ezNz5kzh6ekpnJ2dxQsvvCDy8/PNY/Ly8sS4ceOEl5eX0Gq1onXr1uLgwYP3fAbbt28X4eHhwt7eXrRs2VKcOXOm0PuJiYkRjRs3FlqtVgQHB4uZM2eKgoIC8+MAxBdffCH69u0r7O3tRUhIiFi3bl2h91fU8v/hhx9E/fr1zX/HO3fuLLKysu75PCvz95+orJ08sE3kv+0uxAydODq/jzAZ9OWe4UG/3//FolOaopOfdf+bPrcEY3OKN7aEiio6vXv3Fk2aNDE/7uTkJIYNGyZOnDghTpw4IbKysoSfn5/o37+/OH78uNixY4cIDg4uVBDef/994ebmJn766Sdx6tQpMWrUKOHs7FyiomM0GkWLFi1EvXr1xNatW8WFCxfEhg0bxKZNm0R+fr5YtGiR0Ol0IikpSSQlJRUqWndbs2aNUKvVIioqSsTHx4v58+cLpVIpfv31VyHEndLRo0cP8dRTT4mkpCRzCSjKjh07hK+vrzAYDOL48ePC2dn5nh+/u4tOQUGBWLhwoQAgFi9eXCiTo6OjMBqNRb7Ow4rOoEGDHljIevfuLWrXrn3fx/+xYMECodPpxHfffSfOnDkjpkyZItRqtTh79qwQ4t8iUKdOHbF582Zx6tQp0aJFCxEeHi46dOggfv/9dxEbGytCQkLEmDFjzPP95+/NoEGDxIkTJ8TGjRuFl5eXmD59unnM+PHjhb+/v9i0aZM4efKkiIyMFG5ubuLWrVuFPoPmzZuLXbt2iZMnT4q2bduKVq1ameexe/duodPpRHR0tLhw4YLYunWrCAoKEjNnzjSPASCqVq0qVq5cKc6dOyfGjx8vnJycxK1bt4TBYBA//fSTACDi4+PNy//atWtCpVKJBQsWiISEBPHnn3+KqKioIv+OsegQPdiRrStF/ttuQszQiWXLPhMGo6lcX59Fp5hKXXRm6O5/+3ZA4bH/873/2K96Fh77fnDR40ro7qJjMpnEtm3bhFarFZMnTzY/7uPjU+hf4kuWLBFubm6FfuB//vlnoVAoRHJyshBCCD8/P/HBBx+YHy8oKBBVq1YtUdHZsmWLUCgUIj4+vsjsy5YtEy4uLg99j61atbpnzcvAgQNFz57/fqZ9+vR5YHH4x5AhQ8TEiRML5V22bFmhMQCEnZ2dcHR0FAqFQgAQQUFB5h9wIYRYuHChqF69+n1f52FF55VXXhEdOnS47/Pr1q0revfu/dD34+/vL+bMmVNoWkREhHjxxReFEP8WnbvXHn333XcCgNixY4d52nvvvVeoWEVGRgp3d3eRnZ1tnrZ48WLh5OQkjEajyMrKEmq1WqxYscL8uF6vF/7+/ua/N3ev0fnHzz//LACYv2udO3cW7777bqH833zzjfDz8zPfByDefPNN8/2srCwBwLzmqqjP+siRIwKAuHTp0sM+QhYdomL4feNyMfONl0S1qRvF88sPiez8goc/yUJKUnS4j46V2rhxI5ycnGBnZ4fHHnsMgwYNwsyZM82PN2jQABqNxnz/9OnTCAsLg6Ojo3la69atYTKZEB8fj/T0dCQlJaF58+bmx1UqFZo2bVqiXHFxcahatSpq1apV+jf3d97WrVsXmta6dWucPn26RPNJS0vDmjVrMHToUPO0oUOHYunSpfeMXbhwIeLi4vDLL78gNDQUX375Jdzd3c2P5+bmws7OroTv5F/29vYP3KFYCPHQeWRkZODatWvF+mwaNmxo/m8fHx8Ad/5e3D3txo0bhZ4TFhYGBwcH8/2WLVsiKysLiYmJuHDhAgoKCgq9tlqtRrNmzR742n5+fgBgfq1jx45h9uzZcHJyMt9Gjx6NpKSkQp/P3fNwdHSETqe7J+9/s3fu3BkNGjTAwIED8cUXX+D27dv3HU9ED9b68WFoNugNaJQKbDl5HaM+/AkXjv4md6x78OrlpTH92v0fk5SF7792/gFj/9MzJx4velwpdOzYEYsXL4ZGo4G/vz9UqsKL+u5CY0kKheKeH+SCggLzf9vb25fJ65bWypUrkZeXV6jACSFgMplw9uzZQoXM19cXISEhCAkJwbJly9CzZ0+cOnXKvKOzp6fnI/1wpqamwsvL676P16pVC2fOWO6QTrVabf5vSZKKnGYymSz2eg977X9eKysrC7NmzUL//v3ved7dRfLuefwznwflVSqV2LZtG/bt24etW7fi448/xhtvvIEDBw4gODj4kd4Pka16rIEfPJy0mLTyAF7P/D/UWHcRx3Z2hK7Lawiu3xJQyL8+Rf4ElZHG8f43tV0JxtoXb2wpODo6IiQkBIGBgfeUnKLUrVsXx44dQ3Z2tnna3r17oVAoULt2bbi4uMDPz6/QEUkGgwFHjhwpNB8vLy8kJSWZ72dkZCAhIcF8v2HDhrhy5cp9D/fWaDQwGh9+ivG6deti7969habt3bsXoaGhD33u3ZYuXYpXX30VcXFx5tuxY8fQtm1bfPXVV/d9XrNmzRAeHo45c+aYpzVu3BjJycmlLjsnTpxA48aN7/v4kCFDcPbs2SIPaxdCID09HTqdDv7+/hb5bIpy7Ngx5Ob+exXj/fv3w8nJCQEBAahRowY0Gk2h1y4oKMChQ4dK9NpNmjRBfHy8uVTefVMU83+a/6yt/O/fJUmS0Lp1a8yaNQtHjx6FRqPB2rVri52NiO7VLNgd68c2Q75LdQBAWMZOBK/pifTZAdg0dwRmrj8paz4WHQIAPPPMM7Czs0NkZCROnDiBnTt3Yty4cRg2bJh5s8aECRPwf//3f4iJicGZM2fw4osv3nOekk6dOuGbb77Bnj17cPz4cURGRkKp/HctV/v27dGuXTs8+eST2LZtGxISEvDLL79g8+bNAICgoCBkZWVhx44dSElJue+mnNdeew3R0dFYvHgxzp07hwULFmDNmjWYPHlysd9zXFwcYmNj8dxzz6F+/fqFboMHD8bXX3/9wHMPTZw4EZ9//jmuXr0K4E7R8fT0vKdkJCcnIy4uDufP31m7d/z4ccTFxRU6lDwnJwdHjhxBt27d7vt6Tz31FAYNGoTBgwfj3XffxeHDh/HXX39h48aN6NKlC3bu3Gn+bN5//32sWrUK8fHxeP311xEXF4cJEyYU+7O5H71ej1GjRuHUqVPYtGkTZsyYgZdffhkKhQKOjo4YO3YsXnvtNWzevBmnTp3C6NGjkZOTg1GjRhX7Nd5++20sX74cs2bNwsmTJ3H69Gl8//33ePPNN4s9j2rVqkGSJGzcuBE3b95EVlYWDhw4YP7cLl++jDVr1uDmzZuoW7duaT4KIrqLu7sHmr36E072+QVHHNshV2jggiy4Z57BsStp8oYr4/2FKjRbOry8OI8/7PDygoICMWHCBKHT6YSrq6uYNGnSPYeXp6eni0GDBgmdTicCAgJEdHT0PYeX37p1S4wcOVJ4eHgIOzs7Ub9+fbFx40bz42PGjBEeHh6PdHi5EA/fGfnll18WoaGhRT6WlJQkFAqF+ZBl/OfwciHu7Ohdp04dMXbsWPO0KVOmiKeffrrQuBkzZtxzuDOAQjs8r1y5slhHVBmNRrF48WIREREhHBwchE6nE+Hh4eLDDz8UOTk55jEzZ84UVapUEWq1+r6Hlx89etQ8raidd/+7Y/g/f2/efvtt4eHhIZycnMTo0aNFXl6eeUxubq4YN26c8PT0fODh5Xe/ztGjRwUAkZCQYJ62efNm0apVK2Fvby90Op1o1qyZWLJkifnxopaHi4tLoc909uzZwtfXV0iSJCIjI8WpU6dE9+7dzYe+16pVS3z88cdFfs6V+ftPVBFkZueIEwe2iz1bfhTbTyVbfP4l2RlZEqIYezhaqYyMDLi4uJhX+d8tLy8PCQkJCA4OfqQdTMm2JCcno169eoiNjUW1atWK/bwWLVpg/PjxGDJkSBmmezQjRoxAWloaYmJi5I5S5vj9J6rYHvT7/V/cdEVkQb6+vli6dCkuX75c7OekpKSgf//+GDx4cBkmIyKyTTZ51FVUVBSioqKKtdMrUUmV9CKnnp6emDJlStmEISKycdx0xU1XRPQf/P4TVWzcdEVEREQEFp2HsuEVXkQ2i997IuvBonMf/5x19UGn5Cci66TX6wGg0DmgiKhyssmdkYtDqVTC1dXVfO0cBwcH86nqich6mUwm3Lx5Ew4ODsU6qzgRVWz8Fj+Ar68vADzwQoFEZH0UCgUCAwP5jxsiK8Ci8wCSJMHPzw/e3t6FLkxJRNZNo9EU+7paRFSxsegUg1Kp5LZ6IiKiSoj/ZCEiIiKrxaJDREREVotFh4iIiKyWTe+j889JwTIyMmROQkRERMX1z+92cU7uadNFJzMzEwAQEBAgcxIiIiIqqczMTLi4uDxwjE1f1NNkMuHatWtwdnY2ny8jIiIChw4dKnL8/R4ranpGRgYCAgKQmJj40AuOlacHvT855lnS5xZ3/MPGWfNyLotl/Kjz5XK2PFtZzo86hsvZ8vOtCMtZCIHMzEz4+/s/9FQQNr1GR6FQoGrVqoWmKZXK+/4Fv99jD3qOTqerMF8Y4MFZ5ZhnSZ9b3PEPG2fNy7kslvGjzpfL2fJsZTk/6hguZ8vPt6Is54etyfkHd0b+j5deeqnEjz3oORVNWWR9lHmW9LnFHf+wcda8nMsqJ5dzxWIry/lRx3A5W36+FXE5P4hNb7oqSxkZGXBxcUF6enqF+ZcBWR6Xs23gcrYNXM7WiWt0yohWq8WMGTOg1WrljkJliMvZNnA52wYuZ+vENTpERERktbhGh4iIiKwWiw4RERFZLRYdIiIislosOkRERGS1WHSIiIjIarHoVAD9+vWDm5sbBgwYIHcUsqCNGzeidu3aqFmzJr788ku541AZ4ffX+iUmJqJDhw4IDQ1Fw4YN8cMPP8gdiUqAh5dXALt27UJmZia+/vpr/Pjjj3LHIQswGAwIDQ3Fzp074eLigvDwcOzbtw8eHh5yRyML4/fX+iUlJeH69eto1KgRkpOTER4ejrNnz8LR0VHuaFQMXKNTAXTo0AHOzs5yxyALOnjwIOrVq4cqVarAyckJjz32GLZu3Sp3LCoD/P5aPz8/PzRq1AgA4OvrC09PT6SmpsobioqNRechdu/ejV69esHf3x+SJCEmJuaeMVFRUQgKCoKdnR2aN2+OgwcPln9QsqhHXe7Xrl1DlSpVzPerVKmCq1evlkd0KgF+v22DJZfzkSNHYDQaERAQUMapyVJYdB4iOzsbYWFhiIqKKvLxVatWYdKkSZgxYwZiY2MRFhaG7t2748aNG+YxjRo1Qv369e+5Xbt2rbzeBpWQJZY7VXxczrbBUss5NTUVw4cPx5IlS8ojNlmKoGIDINauXVtoWrNmzcRLL71kvm80GoW/v7947733SjTvnTt3iieffNISMcnCSrPc9+7dK/r27Wt+fMKECWLFihXlkpdK51G+3/z+Vh6lXc55eXmibdu2Yvny5eUVlSyEa3QegV6vx5EjR9ClSxfzNIVCgS5duuCPP/6QMRmVpeIs92bNmuHEiRO4evUqsrKy8Msvv6B79+5yRaZS4PfbNhRnOQshMGLECHTq1AnDhg2TKyqVEovOI0hJSYHRaISPj0+h6T4+PkhOTi72fLp06YKBAwdi06ZNqFq1Kv8nWsEVZ7mrVCrMnz8fHTt2RKNGjfDqq6/yiKtKprjfb35/K7fiLOe9e/di1apViImJQaNGjdCoUSMcP35cjrhUCiq5AxCwfft2uSNQGejduzd69+4tdwwqY/z+Wr82bdrAZDLJHYNKiWt0HoGnpyeUSiWuX79eaPr169fh6+srUyoqa1zutoHL2TZwOVs/Fp1HoNFoEB4ejh07dpinmUwm7NixAy1btpQxGZUlLnfbwOVsG7icrR83XT1EVlYWzp8/b76fkJCAuLg4uLu7IzAwEJMmTUJkZCSaNm2KZs2aYdGiRcjOzsbIkSNlTE2PisvdNnA52wYuZxsn92FfFd3OnTsFgHtukZGR5jEff/yxCAwMFBqNRjRr1kzs379fvsBkEVzutoHL2TZwOds2XuuKiIiIrBb30SEiIiKrxaJDREREVotFh4iIiKwWiw4RERFZLRYdIiIislosOkRERGS1WHSIiIjIarHoEBERkdVi0SEiIiKrxaJDRBY3YsQISJJ0z+3u6w0REZUHXtSTiMpEjx49sGzZskLTvLy8Ct3X6/XQaDTlGYuIbAzX6BBRmdBqtfD19S1069y5M15++WVMnDgRnp6e6N69OwDgxIkTeOyxx+Dk5AQfHx8MGzYMKSkp5nllZ2dj+PDhcHJygp+fH+bPn48OHTpg4sSJ5jGSJCEmJqZQBldXV0RHR5vvJyYm4qmnnoKrqyvc3d3Rp08fXLp0yfz4iBEj0LdvX8ybNw9+fn7w8PDASy+9hIKCAvOY/Px8TJ06FQEBAdBqtQgJCcHSpUshhEBISAjmzZtXKENcXBzXZhHJiEWHiMrV119/DY1Gg7179+Kzzz5DWloaOnXqhMaNG+Pw4cPYvHkzrl+/jqeeesr8nNdeew2//fYb1q1bh61bt2LXrl2IjY0t0esWFBSge/fucHZ2xp49e7B37144OTmhR48e0Ov15nE7d+7EhQsXsHPnTnz99deIjo4uVJaGDx+O7777Dh999BFOnz6Nzz//HE5OTpAkCc8+++w9a7GWLVuGdu3aISQkpHQfGBE9Gpmvnk5EVigyMlIolUrh6Ohovg0YMEC0b99eNG7cuNDYd955R3Tr1q3QtMTERAFAxMfHi8zMTKHRaMTq1avNj9+6dUvY29uLCRMmmKcBEGvXri00HxcXF7Fs2TIhhBDffPONqF27tjCZTObH8/Pzhb29vdiyZYs5d7Vq1YTBYDCPGThwoBg0aJAQQoj4+HgBQGzbtq3I93316lWhVCrFgQMHhBBC6PV64enpKaKjo4vxqRFRWeA+OkRUJjp27IjFixeb7zs6OmLw4MEIDw8vNO7YsWPYuXMnnJyc7pnHhQsXkJubC71ej+bNm5unu7u7o3bt2iXKc+zYMZw/fx7Ozs6Fpufl5eHChQvm+/Xq1YNSqTTf9/Pzw/HjxwHc2QylVCrRvn37Il/D398fjz/+OL766is0a9YMGzZsQH5+PgYOHFiirERkOSw6RFQmHB0di9xc4+joWOh+VlYWevXqhffff/+esX5+fsXet0WSJAghCk27e9+arKwshIeHY8WKFfc89+6dpNVq9T3zNZlMAAB7e/uH5njuuecwbNgwLFy4EMuWLcOgQYPg4OBQrPdARJbHokNEsmrSpAl++uknBAUFQaW6939JNWrUgFqtxoEDBxAYGAgAuH37Ns6ePVtozYqXlxeSkpLM98+dO4ecnJxCr7Nq1Sp4e3tDp9OVKmuDBg1gMpnw22+/oUuXLkWO6dmzJxwdHbF48WJs3rwZu3fvLtVrEZFlcGdkIpLVSy+9hNTUVAwePBiHDh3ChQsXsGXLFowcORJGoxFOTk4YNWoUXnvtNfz66684ceIERowYAYWi8P++OnXqhE8++QRHjx7F4cOHMWbMmEJrZ5555hl4enqiT58+2LNnDxISErBr1y6MHz8eV65cKVbWoKAgREZG4tlnn0VMTIx5HqtXrzaPUSqVGDFiBKZNm4aaNWuiZcuWlvmgiKhUWHSISFb+/v7Yu3cvjEYjunXrhgYNGmDixIlwdXU1l5m5c+eibdu26NWrF7p06YI2bdrcs6/P/PnzERAQgLZt22LIkCGYPHlyoU1GDg4O2L17NwIDA9G/f3/UrVsXo0aNQl5eXonW8CxevBgDBgzAiy++iDp16mD06NHIzs4uNGbUqFHQ6/UYOXLkI3wyRGQJkvjvRm0iokqgQ4cOaNSoERYtWiR3lHvs2bMHnTt3RmJiInx8fOSOQ2TTuI8OEZGF5Ofn4+bNm5g5cyYGDhzIkkNUAXDTFRGRhXz33XeoVq0a0tLS8MEHH8gdh4jATVdERERkxbhGh4iIiKwWiw4RERFZLRYdIiIislosOkRERGS1WHSIiIjIarHoEBERkdVi0SEiIiKrxaJDREREVotFh4iIiKzW/wP+QIQdQqS9wAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot fit as a product of components\n", + "plt.loglog(freqs, powers, label='Target')\n", + "plt.loglog(freqs, scale * const * np.prod(powers_prod, axis=0), ls='--', label='Product of AR(1) Components')\n", + "plt.xlabel(\"Frequency\")\n", + "plt.ylabel(\"Power\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "6f6b7e5f-4b1f-4801-a392-63bd9a86d1cc", + "metadata": {}, + "source": [ + "#### Simulations\n", + "\n", + "Now that we've fit an AR(p) model to a target PSD, we can simulate a signal given a white noise input and the learned AR coefficients. We confirm the learned spectrum produces a stochastic signal with the desired spectral shape using a non-parameteric PSD. First, it's important to ensure the learned coefficents are stationary (e.g. abs(roots of the polynomial) > 1)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ff69825f-5fef-4da0-a9ab-5ec58ddbe029", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ar.is_stationary" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "219a5afb-2fd4-4779-ba86-86bb843a3854", + "metadata": {}, + "outputs": [], + "source": [ + "sig = ar.simulate(10_000, fs)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "7562f62b-5cd3-40b2-831c-41ae83b81a6e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(14, 2))\n", + "plt.plot(sig[:1000]);\n", + "plt.title(\"Simulated Signal\")\n", + "plt.xlabel(\"Time (seconds)\")\n", + "plt.ylabel(\"Voltage (a.u.)\");" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "fe540c89-c68c-4450-9e34-1e43d3bf633a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fw, pw = compute_spectrum(sig, fs, f_range=(1e-9, (fs//2)-1), nperseg=10000)\n", + "plt.loglog(fw, pw * 2*len(sig)/fs, label='Welchs PSD of Simulated Signal')\n", + "plt.loglog(freqs, powers, label='Target')\n", + "plt.legend()\n", + "plt.xlabel(\"Frequency\")\n", + "plt.ylabel(\"Power\");" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/timescales/autoreg/__init__.py b/timescales/autoreg/__init__.py index eecfc7f..65ce649 100644 --- a/timescales/autoreg/__init__.py +++ b/timescales/autoreg/__init__.py @@ -1 +1,2 @@ from .spectral import compute_ar_spectrum, burg, ar_to_psd +from .fit import ARPSD, ar_spectrum \ No newline at end of file diff --git a/timescales/autoreg/fit.py b/timescales/autoreg/fit.py new file mode 100644 index 0000000..de19be7 --- /dev/null +++ b/timescales/autoreg/fit.py @@ -0,0 +1,176 @@ +"""Spectral AR fitting.""" + +import numpy as np +from scipy.optimize import curve_fit +import matplotlib.pyplot as plt + +class ARPSD: + """Fits AR(p) model to PSD.""" + def __init__(self, order, fs, bounds=None, ar_bounds=None, guess=None, + maxfev=100, loss_fn='linear', f_scale=None, curve_fit_kwargs=None): + """Intialize object. + + Parameters + ---------- + order : int + Autoregressive order. + fs : float + Sampling rate, in Hertz. + bounds : 2d tuple or list, optional, default: None + Bounds on the AR weights as (lower, uper). + Defaults to (-0.9999, 0.9999). In some cases, (0, 0.9999) + may be more appropriate. + ar_bounds : tuple of (float, float): + Sets bounds across all AR weights. + guess : list, optional, default: None + Inital AR weights. Defaults to zeros. + maxfev : int, optional, default: None + Max number of optimization iterations. + loss_fn : str, optional, default: 'linear' + Name of loss function supported by curve_fit. + f_scale : float, optional, default: None + Robust regression. Determines inliers/outliers. Between [0, 1]. + curve_fit_kwargs : dict, optional, default: None + Additonal kwargs to pass to curve_fit. + """ + self.order = order + self.fs = fs + + self.freqs = None + self.powers = None + + self.bounds = bounds + self.ar_bounds = ar_bounds + self.guess = guess + self.f_scale = f_scale + self.maxfev = maxfev + self.loss_fn = loss_fn + self.params = None + self.curve_fit_kwargs = {} if curve_fit_kwargs is None else curve_fit_kwargs + + def fit(self, freqs, powers): + """Fit PSD. + + Parameters + ---------- + freqs : 1d array + Frequencies. + powers : 1d or 2d array + Power. + """ + + # Constants + self.freqs = freqs + self.powers = powers + k = np.arange(1, self.order+1) + self._exp = np.exp(-2j * np.pi * np.outer(freqs, k) / self.fs).T + + # Inital parameters and bounds + if self.bounds is None: + if self.ar_bounds is not None: + l = [self.ar_bounds[0]] * self.order + u = [self.ar_bounds[1]] * self.order + else: + l = [-1+1e-9] * self.order + u = [1-1e-9] * self.order + + self.bounds = [ + [*l, 1e-16], + [*u, 1e16], + ] + + if self.guess is None: + guess = [0] * self.order + self.guess = [*guess, 1.] + + # Fit + f = lambda freqs, *params : np.log10(ar_spectrum(self._exp, *params)) + + if powers.ndim == 1: + + self.params, _ = curve_fit( + f, freqs, np.log10(powers), p0=self.guess, bounds=self.bounds, + maxfev=self.maxfev, f_scale=self.f_scale, loss=self.loss_fn, + **self.curve_fit_kwargs + ) + + self.powers_fit = ar_spectrum(self._exp, *self.params) + + else: + + self.params = np.zeros((len(powers), self.order)) + self.powers_fit = np.zeros_like(powers) + + for i, p in enumerate(powers): + + self.params[i], _ = curve_fit( + f, freqs, np.log10(p), p0=self.guess, bounds=self.bounds, + maxfev=self.maxfev, f_scale=self.f_scale, loss=self.loss_fn, + **self.curve_fit_kwargs + ) + + self.powers_fit[i] = ar_spectrum(self._exp, *self.params[i]) + + def plot(self): + """Plot model fit.""" + if self.params is not None: + plt.loglog(self.freqs, self.powers, label="Target") + plt.loglog(self.freqs, ar_spectrum(self._exp, *self.params), label="Fit", ls='--') + plt.title("AR Spectral Model Fit") + plt.legend() + else: + raise ValueError("Must call .fit prior to plotting.") + + def simulate(self, n_seconds, fs, init=None, error=None, index=None): + """Simulate a signal based on learned parameters.""" + if self.params is not None and index is None: + return simulate_ar(n_seconds, fs, self.params[:-1][::-1], init=init, error=error) + elif self.params is not None and index is None: + return simulate_ar(n_seconds, fs, self.params[index][:-1][::-1], init=init, error=error) + else: + raise ValueError("Must call .fit prior to simulating.") + + @property + def is_stationary(self, index=None): + """Determines if the learned coefficients give a stationary process.""" + if self.params is not None and index is None: + roots = np.polynomial.Polynomial(np.insert(-self.params[:-1], 0, 1.)).roots() + return np.all(np.abs(roots) > 1.) + elif self.params is not None and index is None: + roots = np.polynomial.Polynomial(np.insert(-self.params[index][:-1], 0, 1.)).roots() + return np.all(np.abs(roots) > 1.) + else: + raise ValueError("Must call .fit to check stationarity.") + + +def ar_spectrum(exp, *params): + """Spectral form of an AR(p) model.""" + phi = params[:-1] + offset = params[-1] + + denom = 1 - (phi @ exp) + powers_fit = offset / np.abs(denom)**2 + + return powers_fit + + +def simulate_ar(n_seconds, fs, phi, init=None, error=None): + """Simulate a signal given AR coefficients, phi.""" + p = len(phi) + + sig = np.zeros(int(n_seconds * fs) + p) + + if init is None: + init = np.random.randn(p) + + sig[:p] = init + + if error is None: + error = np.random.randn(len(sig)) + + for i in range(p, len(sig)): + sig[i] = (sig[i-p:i] @ phi) + error[i-p] + + sig = sig[p:] + + return sig