From e98887f42c80b6ce7e594c29041bf8a1ef8fab53 Mon Sep 17 00:00:00 2001 From: JoFrhwld Date: Mon, 15 Apr 2024 10:17:50 -0400 Subject: [PATCH] docs --- docs/_quarto.yml | 1 + docs/usage/dct.ipynb | 792 +++++++++++++++++++++++++++++++++++++++++++ pyproject.toml | 2 + 3 files changed, 795 insertions(+) create mode 100644 docs/usage/dct.ipynb diff --git a/docs/_quarto.yml b/docs/_quarto.yml index f096c3a..553a5ec 100644 --- a/docs/_quarto.yml +++ b/docs/_quarto.yml @@ -26,6 +26,7 @@ website: - usage/getting_started.qmd - usage/all_arguments.qmd - usage/pythonic_use.ipynb + - usage/dct.ipynb metadata-files: - reference/_sidebar.yml diff --git a/docs/usage/dct.ipynb b/docs/usage/dct.ipynb new file mode 100644 index 0000000..e52a573 --- /dev/null +++ b/docs/usage/dct.ipynb @@ -0,0 +1,792 @@ +{ + "cells": [ + { + "cell_type": "raw", + "metadata": { + "vscode": { + "languageId": "raw" + } + }, + "source": [ + "---\n", + "title: Working with the smoothing parameters\n", + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "FastTrackPy smooths formant trajectories using a form of Discrete Cosine Transform. Here's how you can convert the DCT parameters back into formant track smooths after, e.g. averaging them." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import polars as pl\n", + "import matplotlib.pyplot as plt\n", + "from scipy.fft import dct, idct\n", + "import numpy as np\n", + "from fasttrackpy import process_corpus\n", + "from pathlib import Path" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 65/65 [00:01<00:00, 62.80it/s]\n", + "100%|██████████| 274/274 [00:01<00:00, 224.56it/s]\n" + ] + } + ], + "source": [ + "corpus_path = Path(\"..\",\"assets\", \"corpus\")\n", + "measurements = process_corpus(corpus_path)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's just look at /ay/ from these speakers." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ays = [track for track in measurements if track.label == \"AY1\"]\n", + "ays[0].winner.spectrogram()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Discrete Cosine Transform\n", + "\n", + "The smoothed formants are a 5th order discrete cosine transform. The DCT parameters are estimated via regression, using the following basis." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "time = ays[0].winner.time_domain\n", + "N = time.size\n", + "order = 5\n", + "\n", + "full_basis = dct(\n", + " np.eye(N), \n", + " orthogonalize=True, \n", + " norm = \"backward\"\n", + ")\n", + "\n", + "basis = full_basis[:,:order]\n", + "\n", + "plt.plot(time, basis)\n", + "plt.legend(range(5))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "DCT coefficients define how to weight and sum this bank of cosine functions to match the input signal." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# the dct coefs for f1\n", + "f1_params = ays[0].winner.parameters[0,:]\n", + "\n", + "# the formant track\n", + "f1 = ays[0].winner.formants[0,:]\n", + "\n", + "plt.plot(time, basis * f1_params)\n", + "plt.title(\"weighted coefficients\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(time, basis @ f1_params)\n", + "plt.plot(time, f1)\n", + "plt.title(\"weighted and summed\")\n", + "plt.legend([\"DCT\", \"F1\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It's possible to estimate DCT coefficients directly with `scipy.fft.dct`, but because there is potential for missing data in some formant tracks, FastTrackPy instead estimates the DCT coefficients using regression." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[480.35423508 42.95237019 -25.847216 43.60350087 -21.40266949]\n" + ] + } + ], + "source": [ + "def reg_fit(x, basis):\n", + " params = np.linalg.inv(basis.T @ basis) @ (basis.T @ x)\n", + " return params\n", + "\n", + "params = reg_fit(f1, basis)\n", + "print(params)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Inverting the DCT\n", + "\n", + "It's possible to invert the DCT parameters with `scipy.fft.idct()`, with `orthognalize = True` and `norm = \"forward\"`. You also need to define how large you want the resulting smooth to be with `n`" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f1_smooth = idct(\n", + " params, \n", + " n = time.size, \n", + " orthogonalize=True, \n", + " norm = \"forward\"\n", + " )\n", + "\n", + "plt.plot(time, f1_smooth)\n", + "plt.plot(time, f1)\n", + "plt.legend([\"smooth\", \"F1\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Benefits of using the DCT parameters\n", + "\n", + "### \"Down sampling\"\n", + "\n", + "It's somewhat commmon to reduce the number of measurement points from a formant track to a common number (e.g. 20 evenly spaced points). We can achieve that by inverting the DCT parameters and using differently sized outputs." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "smooth_100 = idct(params, n = 100, orthogonalize=True, norm = \"forward\")\n", + "smooth_20 = idct(params, n = 20, orthogonalize=True, norm = \"forward\")\n", + "\n", + "plt.scatter(\n", + " np.arange(100)/99,\n", + " smooth_100\n", + ")\n", + "\n", + "plt.scatter(\n", + " np.arange(20)/19,\n", + " smooth_20\n", + ")\n", + "plt.legend([\"100\", \"20\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Averaging\n", + "\n", + "Instead of point-wise averaging over formant tracks, you can instead average over the DCT parameters, then invert the average. We can get a polars data frame of all of the parameters of /ays/ from these speakers with the `.to_df()` method," + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "shape: (5, 10)
paramF1F2F3F4errorfile_nameidgrouplabel
u32f64f64f64f64f64strstrstrstr
0480.354235979.9824021844.6456572375.3093310.007663"KY25A_1""0-0-8-1""KY25A""AY1"
142.95237-130.966974-15.9094052.0745940.007663"KY25A_1""0-0-8-1""KY25A""AY1"
2-25.84721613.467448-67.211033-35.3641440.007663"KY25A_1""0-0-8-1""KY25A""AY1"
343.6035014.180242-84.05582818.7963640.007663"KY25A_1""0-0-8-1""KY25A""AY1"
4-21.402669-2.113492-42.2589-20.5566950.007663"KY25A_1""0-0-8-1""KY25A""AY1"
" + ], + "text/plain": [ + "shape: (5, 10)\n", + "┌───────┬────────────┬─────────────┬─────────────┬───┬───────────┬─────────┬───────┬───────┐\n", + "│ param ┆ F1 ┆ F2 ┆ F3 ┆ … ┆ file_name ┆ id ┆ group ┆ label │\n", + "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", + "│ u32 ┆ f64 ┆ f64 ┆ f64 ┆ ┆ str ┆ str ┆ str ┆ str │\n", + "╞═══════╪════════════╪═════════════╪═════════════╪═══╪═══════════╪═════════╪═══════╪═══════╡\n", + "│ 0 ┆ 480.354235 ┆ 979.982402 ┆ 1844.645657 ┆ … ┆ KY25A_1 ┆ 0-0-8-1 ┆ KY25A ┆ AY1 │\n", + "│ 1 ┆ 42.95237 ┆ -130.966974 ┆ -15.909405 ┆ … ┆ KY25A_1 ┆ 0-0-8-1 ┆ KY25A ┆ AY1 │\n", + "│ 2 ┆ -25.847216 ┆ 13.467448 ┆ -67.211033 ┆ … ┆ KY25A_1 ┆ 0-0-8-1 ┆ KY25A ┆ AY1 │\n", + "│ 3 ┆ 43.603501 ┆ 4.180242 ┆ -84.055828 ┆ … ┆ KY25A_1 ┆ 0-0-8-1 ┆ KY25A ┆ AY1 │\n", + "│ 4 ┆ -21.402669 ┆ -2.113492 ┆ -42.2589 ┆ … ┆ KY25A_1 ┆ 0-0-8-1 ┆ KY25A ┆ AY1 │\n", + "└───────┴────────────┴─────────────┴─────────────┴───┴───────────┴─────────┴───────┴───────┘" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_ay_param = pl.concat([\n", + " ay.to_df(output = \"param\")\n", + " for ay in ays\n", + "])\n", + "all_ay_param.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To get the the average of each parameter for each speaker, we need to group the dataframe by the `param`, `file_name` and `group` columns, then aggregate them." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "shape: (5, 4)
paramfile_namegroupF1
u32strstrf64
0"KY25A_1""KY25A"509.370491
1"KY25A_1""KY25A"44.866749
2"KY25A_1""KY25A"-8.803074
3"KY25A_1""KY25A"27.038315
4"KY25A_1""KY25A"-11.637004
" + ], + "text/plain": [ + "shape: (5, 4)\n", + "┌───────┬───────────┬───────┬────────────┐\n", + "│ param ┆ file_name ┆ group ┆ F1 │\n", + "│ --- ┆ --- ┆ --- ┆ --- │\n", + "│ u32 ┆ str ┆ str ┆ f64 │\n", + "╞═══════╪═══════════╪═══════╪════════════╡\n", + "│ 0 ┆ KY25A_1 ┆ KY25A ┆ 509.370491 │\n", + "│ 1 ┆ KY25A_1 ┆ KY25A ┆ 44.866749 │\n", + "│ 2 ┆ KY25A_1 ┆ KY25A ┆ -8.803074 │\n", + "│ 3 ┆ KY25A_1 ┆ KY25A ┆ 27.038315 │\n", + "│ 4 ┆ KY25A_1 ┆ KY25A ┆ -11.637004 │\n", + "└───────┴───────────┴───────┴────────────┘" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ay_param_means = (all_ay_param\n", + " .group_by(\n", + " [\"param\", \"file_name\", \"group\", ], \n", + " maintain_order = True)\n", + " .agg(\n", + " pl.col(\"F1\").mean()\n", + " )\n", + ")\n", + "ay_param_means.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here's the fitted F1 for the first speaker." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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FntENyS8q444pKZws0OXHIiLuQAVF6jRvmwfv3/bj5cfj/rOBolJdfiwi4upUUKTOC2ngxUejexLoY2PD4VM8/tVW3f1YRMTFqaBIvdA61J/3RvbAw2rh683HeGtxqtmRRETkN6igSL3Rt3Vjnh/aCYDXFuxl9pZjJicSEZFfo4Ii9cqtCc0Z0y8GgIe/3MKmtFMmJxIRkXNRQZF656+DO3BV+1CKyxyM/WQ9R04Vmh1JRER+RgVF6h0Pq4U3bomjQ0QgJwpKuGvqegqKy8yOJSIiP6GCIvWSv7eNj0bH0yTAm92Z+dz/2SbKdWNBERGXoYIi9VZksC8fjorH22Zl8e5sXvpul9mRRETkLBUUqde6RQXz2k3dAPho5UGmrT1sbiAREQGqWFCio6OxWCy/WMaPHw/A5Zdf/ot1d999d6XXSEtLY8iQIfj5+REaGsojjzxCWZnO/4t5hnSJ4OGr2wLw9Dc7WLHvuMmJRETEVpWNU1JSKC//cZrw7du384c//IHhw4c7Hxs7dizPPfec82c/Pz/nr8vLyxkyZAjh4eGsXr2ajIwMRo0ahaenJy+99NLFfA6RizL+itYcOH6aGZuOcu+0jcy8tw+tQwPMjiUiUm9VqaA0adKk0s8vv/wyrVq14rLLLnM+5ufnR3h4+DmfP3/+fHbu3MnChQsJCwujW7duPP/88zz22GM8++yzeHl5XcBHELl4FouFicM6k36qkJRDp7hjSgpf39uXRv7eZkeTesYwDI7mnmHnMTvHcs9wuqScMyXlFJaUU1RWTpCvJ5FBPkQE+RIR7ENUiB+BPp5mxxapdhbjAm9KUlJSQmRkJH/5y1/461//ClSc4tmxYweGYRAeHs61117LU0895TyK8vTTTzNr1iw2b97sfJ2DBw/SsmVLNm7cSFxc3Dnfq7i4mOLiH+9Ca7fbiYqKIi8vj8DAwAuJL3JOOadLuP6dVaTlFNKjRUOm3ZWAj6eH2bGkDisrd7DuYA5L9mSz/aidnRl28s6UnvfzLRbo0iyYy9o24bK2jenaLBibh4YXimuy2+0EBQWd1/d3lY6g/NTXX39Nbm4ut99+u/OxW2+9lRYtWhAZGcnWrVt57LHH2LNnDzNmzAAgMzOTsLCwSq/zw8+ZmZm/+l4TJ07k73//+4VGFTlvIQ28+Pj2ntz47io2HD7FY19t5fWbu2GxWMyOJnVIcVk5q1JP8P22TBbuyuJUYeVCYrNaaBMWQExjPxp42fDz8sDXy4aPp5VTp0s4lldERt4ZMnKLOHm6hC3puWxJz+XNRfsI9LExuHMEd10So9OU4tYu+AjKgAED8PLyYvbs2b+6zeLFi7nqqqtITU2lVatWjBs3jsOHDzNv3jznNoWFhTRo0IDvvvuOQYMGnfN1dARFatuq1BOM/ngdZQ6DB65qw4N/aGt2JKkDsuxF/Cf5MNPWHq5UShr6efKH2DDio0PoGBlI61B/vG3nd+QuM6+I5fuOs2zvcVbuO1Hp6MuV7UMZe0lLercMUckWl1DjR1AOHz7MwoULnUdGfk1CQgKAs6CEh4ezbt26SttkZWUB/Oq4FQBvb2+8vTUWQGpP39aNeeH6Tjw+YxtvLNpHdGM/bohrZnYscVNbj+Ty8cqDzNmaQdnZCQHDAr0Z2DGcAZ3C6RUdcsGnZcKDfLgpPoqb4qModxikHMph8qqDzN+ZxeLd2SzenU2XZkE8fU0s8dEh1fmxRGrUBRWUyZMnExoaypAhQ35zux/GmkRERACQmJjIiy++SHZ2NqGhoQAsWLCAwMBAYmNjLySKSI0Z0as5B0+e5v1lB3j0f1uJCPKld8tGZscSN7Irw84rc3ezdM+Pl673ig7hzn7R9O8QVu1jRTysFnq3bETvlo04eOI0H608wJfrj7D1SB5/nJRMUkJzHhvUXoNqxS1U+RSPw+EgJiaGW265hZdfftn5+P79+5k+fTqDBw+mUaNGbN26lQcffJBmzZqxbNkyoOIy427duhEZGcmrr75KZmYmt912G3fddVeVLjOuyiEikYvhcBj8+bNNfLstgyBfT2bc24dWTfzNjiUu7sipQl6bv5eZm49iGBVjSq7tGsmdfWPo3CyoVrOcLCjm/+bt4fOUdABCA7x5bmhHBnQM12kfqXVV+f6uckGZP38+AwYMYM+ePbRt++N5+fT0dEaOHMn27ds5ffo0UVFR3HDDDTz55JOVQhw+fJh77rmHpUuX0qBBA0aPHs3LL7+MzXb+B3NUUKQ2FZWWc8uHa9iUlkvzED9m3ttHlx/LOZ0uLuONRfuYsuoQJeUOoGIiwEeubkd04wamZkvef5K/zdzGgROnARjcOZxX/9gVf+8LvlZCpMpqtKC4AhUUqW0nCoq54d1VpOecoXvzYKaP7a3Lj6WSBTuzeOab7RzLKwIgsWUjHh/Unq5RweYG+4mi0nLeWZLKe0v3U+YwaBvmz79H9aR5I7/ff7JINVBBEakBqdkFDHtvNXlnShnYMZx3krrjYdUh8vouM6+IZ2ftYO6OiqkSokJ8+ft1HbmiXajLnkLZlHaKP/1nA9n5xQT7efLurd3p07qx2bGkHqjK97dm8xE5T61D/Xn/th54eViZuyOT5+fsxA37vVQTwzCYvjaN/q8tY+6OTDysFu6+rBXzJ1zGle3DXLacAMQ1b8is+/rRtVkQuYWl3PbxOqauPqTfz+JSVFBEqqB3y0b886auAExZfYiPVh40OZGYITu/iDFT1/PXmdsoKC4jrnkwc/7cj8cHtcfXyz1O/YUH+fDfPyVyQ1xTyh0Gz8zawcTvd6ukiMvQ6CiRKrq2aySZeUW8+N0uXvh2F2GBPlzbNdLsWFJL5u3I5IkZ28g5XYKXzcqjA9pxZ98YrG54us/H04PXbupKu/AAXv5+Nx8sP4AFeHxQe5c+AiT1gwqKyAW465IYjuaeYcrqQzz0xRaaBHhrjpQ6rrCkjGdn7eCL9UcA6BARyOs3d6NduHtPJ2+xVJya8vPy4OlvdvD+8gNggccHqqSIuXSKR+QCWCwWnromloEdwykpdzD2k/XsyrCbHUtqyJ7MfK57exVfrD+CxQJ3X9aKr8f3cfty8lOjEqN5bmhHAN5fdoBX5+3R6R4xlQqKyAXysFp4fUQ3ekY3JL+ojNEfryM9p9DsWFKNDMPgi5R0hr6zktTsAsICvflsbG8eH9T+vO+V405GJUbz9+sqSsp7S/fzj/l7TE4k9ZkKishF8PH04N+jetIuLIDs/GJGfbyOEwXFv/9EcXmni8t46IstPPrVVopKHVzatgnf3X9JnT+VN7pPNM9eW3HrkXeW7OfTNYdNTiT1lQqKyEUK8vPkkzG9aBrsy8ETp7ljcgoFxWVmx5KLsP94AUPfWcWMTUfxsFp4dGA7ptzes97MIHx73xgevrpipvBnZu1g5b4TJieS+kgFRaQahAX68J8xvQhp4MW2o3n86T/rKS4rNzuWXIC52zMY+vYqUrMLCA2oOKVz7+Wt3fIqnYsx/orWzkuQ7522gf3HC8yOJPWMCopINWnZxJ8pd/SkgZcHq1JP8ufpmyg9ez8WcX1l5Q5e/n43d3+6kYLiMnrFhDDn/n70igkxO5opLBYLE2/sTI8WDbEXlTFmSgqnTpeYHUvqERUUkWrUpVkwH4yKx8tmZf7OLB7+cgvlDl0J4epyTpcwevI6Ji3bD8Bd/WKYdlcCoQE+Jiczl4+nB+/f1oOmwb4cOlnIPdM2UFKm0i21QwVFpJr1bd2Yd2/tjs1q4ZvNx3jy6226XNOFbT+ax7VvrWRV6kn8vDx465Y4nrwmFk8P/fUI0Njfm49v74m/t401B3J48dudZkeSekJ/AkVqQP/YMF4f0Q2rBT5bl87zc3appLigbzYf5Y+TVnM09wwtGvkx896+mhX4HNqFB/DmLd0AmJp8mPlnb4woUpNUUERqyDVdInllWBcAPl51kH/O36uS4iLKyh28+O1OHvh8M0WlDi5r24RZ4/vVqYnXqtuV7cMYd2lLAB79aisZeWdMTiR1nQqKSA0aHh/lnJ3z7SWp/GuBSorZcgtLuGNKCh+uqLjR4z2Xt+Lj23sS5OdpcjLX9/DV7ehy9g7ID3y+WeOrpEapoIjUsFGJ0Tw5pAMAby5O5R/zNYW4WXZl2Ln27ZWs2HcCX08P3r41jscGtsejnl1CfKG8bFbeHBFHAy8P1h3M4e3FqWZHkjpMBUWkFtx1SUuevubH2Tl1n5PaN2frMW58dzXpOWeICvFlxr19uKaLxptUVXTjBrxwQycA3li0l5RDOSYnkrpKBUWkltzZL8Y5hfh7S/fz8tzdKim1oNxh8Mrc3dw3fRNnSsu5pE1jZt/Xjw4RgWZHc1s3xDXjxu5NcRjwwGebyDtTanYkqYNUUERq0e19YyrdMfbvs3fi0Hn8GnPqdAm3T17He0sr5jf506UtmXx7T4L9vExO5v6eG9qJ6EZ+HMsr4uXvd5sdR+ogFRSRWjYqMZoXrq84RD5l9SEe+nKLZpytAduP5jnHm/h4WnljRDeeGNwBm+Y3qRb+3jbnVWqfrUsjef9JkxNJXaM/qSImGNm7Ba/f3A2b1cLMTUf50382cKZE9+6pLl9tOMKw91Zz5NSP85sM7dbU7Fh1TkLLRtya0ByAJ2ZspahUv4el+qigiJjk+rimfDCqB942K4t3ZzPq47U6l3+RisvKefqb7Tz05RaKyxxc0a5ifhONN6k5jw9qT3igD4dOFvKvhXvNjiN1iAqKiImubB/Gp3clEOBjI+XQKW5+P1kTYF2g9JxChk9K5pPkwwA8cFUbPhqt+U1qWqCPp/OU5b9XHGT70TyTE0ldoYIiYrKe0SH8d1wijf292Z2Zz9C3V7HtiP6Sr4oFO7MY8uYKth7JI9jPk49vj+fBP7TFqvlNakX/2DCu6RJBucPg0f9t1ZgqqRYqKCIuIDYykJn39qFdWADZ+cUMf381c7dnmB3L5ZWWO3jpu12M/WQ99qIyukUF8+39l3Bl+zCzo9U7z17XkWA/T3Zm2PlwxQGz40gdoIIi4iKiQvz43z2JXNa2CUWlDu7+dCPvLd2vuVJ+xeGTp/njpGQ+WF7xZXhn3xi++FMiTYN9TU5WPzX29+apIRXz/Ly1KFWnKuWiqaCIuJAAH08+Gh3P6MQWALwydzcP/nczhSVlJidzHYZh8OX6dAa/sYIt6bkE+tiYNLI7T18bi5dNf6WZ6cbuTYlv0ZAzpeWaG0Uumv40i7gYm4eVvw/txN+v64iH1cLXm48x9O1VpGbnmx3NdHmFpdz32SYe+d9WTpeU0ysmhO8nXMrAThFmRxPAYrHw7HUdsVjgm83HWK9p8OUiqKCIuKjRfaL5bGxvQgO82ZddwHVvr+KbzUfNjmWaJXuyGfjGcr7dmoHNauGRAe34bGxvndJxMZ2aBnFzfBQAz87eoTseywVTQRFxYb1iQvj2/kvo06oRhSXlPPD5Zv42c1u9mtQtt7CEh77Ywh2TU8jIKyK6kR9f3dOH8Ve01l2IXdTDA9oR4G1j+1E7X65PNzuOuCkVFBEX1yTAm/+MSeD+K1sDMG1tGoPfXFEvDp/P3Z5B/9eW89XGI1gsMKZfDN89cAldo4LNjia/obG/Nw/0bwPA/83bg71IExBK1amgiLgBD6uFv1zdjk/u7EV4oA8HT5xm+PvJvDBnZ52cXjztZCFjP1nP3Z9u5ERBMa1D/fnf3X146ppY/LxsZseT8zAqMZqWTRpw8nQJby7cZ3YccUMWww2vYbTb7QQFBZGXl0dgoKawlvol70wpL8zZyZcbjgDQsnEDJt7YmYSWjUxOdvFOF5fx7tJUPlxxkJIyBx5WC3df1pI/X9kGH08Ps+NJFS3dk83tk1OwWS3Me/BSWjXxNzuSmKwq398qKCJuasnubB6fsZUsezEAQzpH8Pig9kSF+JmcrOocDoPZW48x8bvdZNqLAOjXujHPXBtLm7AAk9PJxbhzSgqLd2czpHME7yR1NzuOmEwFRaSeyCss5ZV5u/l8XRoOA7xsVu7qF8O9V7TG39v1T4U4HAbfb8/kjUV72ZtVAEBUiC9PDonl6tgwLBYNgnV3uzPtDHpjBYYBs+7rS5dmwWZHEhOpoIjUM7sy7Dw/Zyer958EKgYp3nVJDEkJzQnwcb2b5TkcBnN3ZPLGwn3syaqY3yXAx8afLm3JXZe01OmcOuYv/93MjE1H6de6MZ/elWB2HDGRCopIPWQYBgt2ZvHid7s4fLIQqPjSH9m7BXf0jSY0wMfkhBWXDP9vwxGmrU3j4InTAAR427izXwx39oshyNf1ypRcvPScQq7851JKyw0+HZNAvzaNzY4kJlFBEanHSsocfLP5KJOW7Wf/8YoS4GWzck2XCG6Ia0qfVo1rdf4QwzDYnJ7LtLVpzN5yjOKyijvdBnjbuKNvNGP6tSTIT8Wkrnt21g6mrD5El2ZBfDO+r07f1VMqKCKCw2GwcFcW7y3bz6a0XOfjTQK8ubZLJEO7RdK5aRDWGigrpeUOUg7mMH9nFvN3ZHIsr8i5rkNEICN7N2dot6ZuMU5GqseJgmIufXUJhSXlvJfUnUGddXuC+kgFRUScDMNgY1ouMzcdYc7WDHILf5w0K8jXk57RISTEhJDQMoQOEYF4elR9eiR7USnbjuSx5UguW9PzSD5wkrwzP76Pj6eVQZ0iGNm7Bd2bB+tfz/XUawv28uaifbRs0oD5Ey7FdgG/18S9qaCIyDmVlDlYvvc4X28+yuLd2RT+bMp8D6uFiCAfohr60TzEj8hgX3w8rXhYLdisFjw8rBSVlJOdX0R2fjHZ9mIy8s5w6OyYl58KaeBF/w6hXB0bTr82jTXwVcgvKuXSV5dwqrCUV4Z15uaezc2OJLVMBUVEfldpuYMdx+ysPXCSdQdzWHcoh/yisgt+vagQX7o0DaZLsyB6tGhIXPOGuleO/MK/VxzghW93ERHkw9JHLsfbpuJan6igiEiVORwGxwuKSc8pJC2nkPScM2TknaGk3EG5w3AuXjYroQHeNAnwJjTAh9BAb9qHBxLSwMvsjyBuoKi0nEtfXUJ2fjEv3dCZWxN0FKU+qcr3t0aoiQgAVquFsEAfwgJ9iI8OMTuO1FE+nh7cfVkrnpuzk3eWpDI8vtkFjXuSuk+/K0REpFbdmtCcxv7eHM09w4yNR8yOIy5KBUVERGpVxVGUlgC8vSSV0nKHyYnEFVWpoERHR2OxWH6xjB8/HoCioiLGjx9Po0aN8Pf3Z9iwYWRlZVV6jbS0NIYMGYKfnx+hoaE88sgjlJVd+MA8ERFxP7cmNKdRAy/Sc87wzeZjZscRF1SlgpKSkkJGRoZzWbBgAQDDhw8H4MEHH2T27Nl8+eWXLFu2jGPHjnHjjTc6n19eXs6QIUMoKSlh9erVTJ06lSlTpvD0009X40cSERFX5+dlY+ylFUdR3lmSSpmOosjPXNRVPBMmTGDOnDns27cPu91OkyZNmD59On/84x8B2L17Nx06dCA5OZnevXvz/fffc80113Ds2DHCwsIAmDRpEo899hjHjx/Hy+v8rgLQVTwiIu7vdHEZ/V5ZzKnCUl6/uRvXxzU1O5LUsKp8f1/wGJSSkhI+/fRT7rzzTiwWCxs2bKC0tJT+/fs7t2nfvj3NmzcnOTkZgOTkZDp37uwsJwADBgzAbrezY8eOC40iIiJuqIG3jbsuqTiK8ubifZQ73G7WC6lBF1xQvv76a3Jzc7n99tsByMzMxMvLi+Dg4ErbhYWFkZmZ6dzmp+Xkh/U/rPs1xcXF2O32SouIiLi/UYktCPL15MDx03y3LcPsOOJCLrigfPTRRwwaNIjIyMjqzHNOEydOJCgoyLlERUXV+HuKiEjNC/Dx5I6+0QBMWrYfN5w7VGrIBRWUw4cPs3DhQu666y7nY+Hh4ZSUlJCbm1tp26ysLMLDw53b/Pyqnh9+/mGbc3niiSfIy8tzLunp6RcSW0REXNDoxGh8PT3YcczOqtSTZscRF3FBBWXy5MmEhoYyZMgQ52M9evTA09OTRYsWOR/bs2cPaWlpJCYmApCYmMi2bdvIzs52brNgwQICAwOJjY391ffz9vYmMDCw0iIiInVDwwZe3Nyz4sj4pGX7TU4jrqLKBcXhcDB58mRGjx6NzfbjTPlBQUGMGTOGv/zlLyxZsoQNGzZwxx13kJiYSO/evQG4+uqriY2N5bbbbmPLli3MmzePJ598kvHjx+Pt7V19n0pERNzKmH4xeFgtrEw9wfajeWbHERdQ5YKycOFC0tLSuPPOO3+x7l//+hfXXHMNw4YN49JLLyU8PJwZM2Y413t4eDBnzhw8PDxITExk5MiRjBo1iueee+7iPoWIiLi1qBA/rukSAegoilTQ3YxFRMQl7DxmZ/CbK7BaYOnDV9C8kZ/ZkaSa1co8KCIiItUpNjKQS9s2wWHAv1ceMDuOmEwFRUREXMbdZ6e//2J9OicLik1OI2ZSQREREZeR2KoRXZoFUVTqYGryYbPjiIlUUERExGVYLBb+dGkrAD5JPsSZknKTE4lZVFBERMSlDOwUTlSIL7mFpczYdMTsOGISFRQREXEpHlYLoxOjAfh45UEcuolgvaSCIiIiLufmnlH4e9vYf/w0K1JPmB1HTKCCIiIiLifAx5Ph8c0A+GjlQZPTiBlUUERExCXd3icaiwWW7z3Ovqx8s+NILVNBERERl9SiUQP+0CEMgMmrD5kbRmqdCoqIiLisO/vFADBj4xFOnS4xOY3UJhUUERFxWQkxIcRGBFJU6mD6ujSz40gtUkERERGXZbFYnEdRPkk+RGm5w+REUltUUERExKVd2zWCxv7eZNmL+W5bhtlxpJaooIiIiEvztnkwsndzAKZqsGy9oYIiIiIu79ZezbFZLWxMy2X70Tyz40gtUEERERGXFxrow6DOEUDFWBSp+1RQRETELYxObAHAN5uP6ZLjekAFRURE3EKPFg3pEBFIcZmDLzekmx1HapgKioiIuAWLxeI8ivKfNYcp112O6zQVFBERcRtDuzUl0MdGes4Zlu3NNjuO1CAVFBERcRu+Xh7cFB8FwNTVh01OIzVJBUVERNzKyN4tsFhg2d7jHDpx2uw4UkNUUERExK1EN27AZW2bABVjUaRuUkERERG3MzoxGoAv16dzpqTc3DBSI1RQRETE7VzWtgnNQ/ywF5Uxe+sxs+NIDVBBERERt2O1WrilV8X9eaatTTM5jdQEFRQREXFLw+Ob4elhYUu67s9TF6mgiIiIW2rs783AThX355m2VoNl6xoVFBERcVsjEypO83yz+Rj2olKT00h1UkERERG31SsmhNah/hSWlPPNpqNmx5FqpIIiIiJuy2KxkJTw42BZw9D9eeoKFRQREXFrN8Y1w8fTyu7MfDamnTI7jlQTFRQREXFrQX6eXNslEoBpa3TJcV2hgiIiIm4vqXcLAOZsy+DU6RKT00h1UEERERG317VZEB0jAykpc/C/DUfMjiPVQAVFRETcXsVg2YqjKJ+laLBsXaCCIiIidcJ13SLx8/LgwPHTrDuYY3YcuUgqKCIiUif4e9u4rmvFYNnP1mmwrLtTQRERkTrjhxsIfrc9k9xCDZZ1ZyooIiJSZ3RpFkSHiIrBsjM2amZZd6aCIiIidYbFYuHWXlFAxWkeDZZ1XyooIiJSpwyNa4qPp5V92QWaWdaNqaCIiEidEujjyTVnZ5advjbd5DRyoVRQRESkzvlhsOy3246Rd6bU5DRyIVRQRESkzunePJi2Yf4UlTr4ZrMGy7ojFRQREalzLBaL8yjK9LUaLOuOVFBERKROuiGuKd42K7sz89lyJM/sOFJFVS4oR48eZeTIkTRq1AhfX186d+7M+vXrnetvv/12LBZLpWXgwIGVXiMnJ4ekpCQCAwMJDg5mzJgxFBQUXPynEREROSvYz4tBncIB+G+KZpZ1N1UqKKdOnaJv3754enry/fffs3PnTv75z3/SsGHDStsNHDiQjIwM5/LZZ59VWp+UlMSOHTtYsGABc+bMYfny5YwbN+7iP42IiMhPjDh7mmfW5mOcLi4zOY1Uha0qG7/yyitERUUxefJk52MxMTG/2M7b25vw8PBzvsauXbuYO3cuKSkpxMfHA/DWW28xePBg/vGPfxAZGVmVSCIiIr8qISaE6EZ+HDpZyLdbM7ipZ5TZkeQ8VekIyqxZs4iPj2f48OGEhoYSFxfHhx9++Ivtli5dSmhoKO3ateOee+7h5MmTznXJyckEBwc7ywlA//79sVqtrF279pzvW1xcjN1ur7SIiIj8HovFws09K46ifK7TPG6lSgXlwIEDvPfee7Rp04Z58+Zxzz33cP/99zN16lTnNgMHDuSTTz5h0aJFvPLKKyxbtoxBgwZRXl4OQGZmJqGhoZVe12azERISQmZm5jnfd+LEiQQFBTmXqCg1YBEROT/DejTFw2phY1oue7PyzY4j56lKBcXhcNC9e3deeukl4uLiGDduHGPHjmXSpEnObUaMGMF1111H586duf7665kzZw4pKSksXbr0gkM+8cQT5OXlOZf0dM0MKCIi5yc0wIer2lf8w/i/Kfr+cBdVKigRERHExsZWeqxDhw6kpf36YbOWLVvSuHFjUlNTAQgPDyc7O7vSNmVlZeTk5PzquBVvb28CAwMrLSIiIudrxNkbCM7YeITisnKT08j5qFJB6du3L3v27Kn02N69e2nRosWvPufIkSOcPHmSiIgIABITE8nNzWXDhg3ObRYvXozD4SAhIaEqcURERM7LpW2aEB7ow6nCUhbszDI7jpyHKhWUBx98kDVr1vDSSy+RmprK9OnT+eCDDxg/fjwABQUFPPLII6xZs4ZDhw6xaNEihg4dSuvWrRkwYABQccRl4MCBjB07lnXr1rFq1Sruu+8+RowYoSt4RESkRtg8rAyPbwbA5+t0mscdVKmg9OzZk5kzZ/LZZ5/RqVMnnn/+eV5//XWSkpIA8PDwYOvWrVx33XW0bduWMWPG0KNHD1asWIG3t7fzdaZNm0b79u256qqrGDx4MP369eODDz6o3k8mIiLyEzfFR2GxwMrUE6TnFJodR36HxXDDGxTY7XaCgoLIy8vTeBQRETlvt320lhX7TnDfFa15eEA7s+PUO1X5/ta9eEREpN64+exEbf/bcIRyh9v9+7xeUUEREZF64w+xYTT08yTTXsTyvcfNjiO/QQVFRETqDW+bBzfEnR0sq5llXZoKioiI1Cs/nOZZtCub4/nFJqeRX6OCIiIi9Uq78AC6RQVT5jCYsfGI2XHkV6igiIhIvTPi7FGU/65Pxw0vZq0XVFBERKTeuaZrJH5eHhw4fpr1h0+ZHUfOQQVFRETqHX9vG9d0qbgFi2aWdU0qKCIiUi/9MFj2u20Z2ItKTU4jP6eCIiIi9VL35g1pHerPmdJyZm85ZnYc+RkVFBERqZcsFgs3x1ccRfkiRad5XI0KioiI1Fs3dG+Kp4eFLUfy2HnMbnYc+QkVFBERqbca+3vzh9gwAL5Yr6MorkQFRURE6rWbezYHYOamoxSVlpucRn6ggiIiIvVav9aNiQzyIe9MKfN2ZJodR85SQRERkXrNw2ph+NnBsv/VYFmXoYIiIiL13vD4ZlgssHr/SQ6fPG12HEEFRUREhGYN/bikTRNAg2VdhQqKiIgIP95A8Mv1Rygrd5icRlRQREREgP4dwghp4EV2fjFL9xw3O069p4IiIiICeNmsDOveFIDPNVjWdCooIiIiZ/1wA8Ele7LJsheZnKZ+U0ERERE5q3VoAD1aNKTcYfC/DUfMjlOvqaCIiIj8xA9HUb5Yn47DYZicpv5SQREREfmJa7pE4O9t4/DJQtYcOGl2nHpLBUVEROQn/LxsDO0WCcD0dWkmp6m/VFBERER+5pZeFTcQnL8ji5zTJSanqZ9UUERERH6mU9MgOjUNpKTcwYyNGixrBhUUERGRcxjRs+Ioymfr0jAMDZatbSooIiIi5zC0WyS+nh7sP36a9YdPmR2n3lFBEREROYcAH0+u7RoBVBxFkdqlgiIiIvIrRpwdLPvt1gzyCktNTlO/qKCIiIj8irioYNqFBVBc5uDrzUfNjlOvqKCIiIj8CovFwi29KmaW1WDZ2qWCIiIi8htuiGuGt83K7sx8thzJMztOvaGCIiIi8huC/DwZ0rlisOz0tYdNTlN/qKCIiIj8jlsTKgbLzt6SQd4ZDZatDSooIiIiv6NHi4a0DfPnTGk5X2/SYNnaoIIiIiLyOywWC0kJLQCYvlaDZWuDCoqIiMh5uD6uKT6eVvZk5bNBM8vWOBUUERGR8xDk68l1XSOBiqMoUrNUUERERM7TrWdP88zZlsGp0yUmp6nbVFBERETOU9dmQXSMDKSkzMFXG4+YHadOU0ERERE5TxaLxXnJ8XTNLFujVFBERESqYGi3pjTw8uDA8dOsOZBjdpw6SwVFRESkCvy9bQyNawrANM0sW2NUUERERKoo6expnnk7MsnOLzI5Td1U5YJy9OhRRo4cSaNGjfD19aVz586sX7/eud4wDJ5++mkiIiLw9fWlf//+7Nu3r9Jr5OTkkJSURGBgIMHBwYwZM4aCgoKL/zQiIiK1oGNkEN2bB1NabvD5unSz49RJVSoop06dom/fvnh6evL999+zc+dO/vnPf9KwYUPnNq+++ipvvvkmkyZNYu3atTRo0IABAwZQVPRjw0xKSmLHjh0sWLCAOXPmsHz5csaNG1d9n0pERKSGjUqMBirmRCkrd5gbpg6yGFUYgvz444+zatUqVqxYcc71hmEQGRnJQw89xMMPPwxAXl4eYWFhTJkyhREjRrBr1y5iY2NJSUkhPj4egLlz5zJ48GCOHDlCZGTk7+aw2+0EBQWRl5dHYGDg+cYXERGpNsVl5fSZuJiTp0t4L6k7g87e8Vh+XVW+v6t0BGXWrFnEx8czfPhwQkNDiYuL48MPP3SuP3jwIJmZmfTv39/5WFBQEAkJCSQnJwOQnJxMcHCws5wA9O/fH6vVytq1a8/5vsXFxdjt9kqLiIiImbxtHozoFQXAJ8kaLFvdqlRQDhw4wHvvvUebNm2YN28e99xzD/fffz9Tp04FIDMzE4CwsLBKzwsLC3Ouy8zMJDQ0tNJ6m81GSEiIc5ufmzhxIkFBQc4lKiqqKrFFRERqxK0JLbBaIPnASfZl5Zsdp06pUkFxOBx0796dl156ibi4OMaNG8fYsWOZNGlSTeUD4IknniAvL8+5pKdrQJKIiJivabAv/TtU/KP8P2t0FKU6VamgREREEBsbW+mxDh06kJZWcdOk8PBwALKysiptk5WV5VwXHh5OdnZ2pfVlZWXk5OQ4t/k5b29vAgMDKy0iIiKu4IfBsjM2HqWguMzcMHVIlQpK37592bNnT6XH9u7dS4sWFTdPiomJITw8nEWLFjnX2+121q5dS2JiIgCJiYnk5uayYcMG5zaLFy/G4XCQkJBwwR9ERETEDH1bN6JlkwYUFJcxU/fnqTZVKigPPvgga9as4aWXXiI1NZXp06fzwQcfMH78eKDiHgUTJkzghRdeYNasWWzbto1Ro0YRGRnJ9ddfD1QccRk4cCBjx45l3bp1rFq1ivvuu48RI0ac1xU8IiIirsRisXBb74p/qH+SfFj356kmVSooPXv2ZObMmXz22Wd06tSJ559/ntdff52kpCTnNo8++ih//vOfGTduHD179qSgoIC5c+fi4+Pj3GbatGm0b9+eq666isGDB9OvXz8++OCD6vtUIiIitWhYj2b4eXmwL7uA5AMnzY5TJ1RpHhRXoXlQRETE1fx15jamr01jQMcw3r8t/vefUA/V2DwoIiIicm539IkGYP7OLNJOFpobpg5QQREREakGbcICuKRNYwwDpiYfMjuO21NBERERqSZ39osB4IuUdF1yfJFUUERERKrJZW2a0LJJA/KLy/jfek0qejFUUERERKqJ1Wrhjr4VR1Emrz6Ew+F216G4DBUUERGRajSse1MCfWwcPlnI4t3Zv/8EOScVFBERkWrk52Xjll7NAfh41UGT07gvFRQREZFqNqpPNB5WC6v3n2RXht3sOG5JBUVERKSaNQ32ZWDHihvgTtZRlAuigiIiIlID7uwXDcDXm49xPL/Y3DBuSAVFRESkBnRv3pBuUcGUlDmYslpHUapKBUVERKQGWCwW7r6sFQD/ST6siduqSAVFRESkhvwhNoyWjRtgLyrj83VpZsdxKyooIiIiNcTDamHcpS0B+GjlQUrKHCYnch8qKCIiIjXo+rimNAnwJiOviNlbjpkdx22ooIiIiNQgH08P7ugbDcD7y/dr+vvzpIIiIiJSw5ISWuDvbWNvVgFL92r6+/OhgiIiIlLDgnw9uTWhYvr7SUsPmJzGPaigiIiI1II7+8bg6WFh3aEcNhw+ZXYcl6eCIiIiUgvCg3y4vltTAN5bmmpyGtengiIiIlJL7rm8FVYLLNyVzfajeWbHcWkqKCIiIrWkZRN/rusaCcAbi/aZnMa1qaCIiIjUovuubIPFAgt2Zukoym9QQREREalFrUP9ubZLxVGUN3UU5VepoIiIiNSy+69qjcUC83dmsfOY3ew4LkkFRUREpJa1Dg3gGh1F+U0qKCIiIia4/8qKoyhzd2SyK0NHUX5OBUVERMQEbcICGNw5AoC3Fusoys+poIiIiJjk/rNX9Hy3LZMdx3RFz0+poIiIiJikXXiA84qeV+buMTmNa1FBERERMdHDV7fD08PC8r3HWZV6wuw4LkMFRURExETNG/mRlNACgInf78LhMExO5BpUUEREREz25ytb4+9tY/tRO3O2ZZgdxyWooIiIiJiskb83f7q0JQD/mLeHkjKHyYnMp4IiIiLiAsZcEkNogDdpOYVMW3vY7DimU0ERERFxAX5eNib0bwvAW4tTyS8qNTmRuVRQREREXMRN8c1o2aQBOadLmLRsv9lxTKWCIiIi4iJsHlYeG9gegA+XH+TQidMmJzKPCoqIiIgLuTo2jEvaNKak3MEzs3ZgGPXzsmMVFBERERdisVh4bmgnvDysLNt7nHk7ssyOZAoVFBERERcT07gB485edvzc7B0UlpSZnKj2qaCIiIi4oPFXtKZpsC/H8op4e3Gq2XFqnQqKiIiIC/L18uCZa2MB+HDFAVKzC0xOVLtUUERERFzUH2LDuKJdE0rLDZ6tZwNmVVBERERclMVi4dnrOuJls7Iy9QRfbTxqdqRao4IiIiLiwlo0asADV7UB4O+zdnA094zJiWqHCoqIiIiL+9OlLYlrHkx+cRmPfLkFh6Pun+pRQREREXFxNg8rr93UDV9PD1bvP8nU5ENmR6pxVSoozz77LBaLpdLSvn175/rLL7/8F+vvvvvuSq+RlpbGkCFD8PPzIzQ0lEceeYSysvp3fbeIiEhVxDRuwF8HV3znvvz97jp/VY+tqk/o2LEjCxcu/PEFbJVfYuzYsTz33HPOn/38/Jy/Li8vZ8iQIYSHh7N69WoyMjIYNWoUnp6evPTSSxeSX0REpN4Y2bsF83dmsWLfCf7yxWa+uqcPnh5182RIlT+VzWYjPDzcuTRu3LjSej8/v0rrAwMDnevmz5/Pzp07+fTTT+nWrRuDBg3i+eef55133qGkpOTiP42IiEgdZrFYePWPXQj0sbH1SF6dnsCtygVl3759REZG0rJlS5KSkkhLS6u0ftq0aTRu3JhOnTrxxBNPUFhY6FyXnJxM586dCQsLcz42YMAA7HY7O3bs+NX3LC4uxm63V1pERETqo4ggX56/vhMAby7ex+LddfNePVUqKAkJCUyZMoW5c+fy3nvvcfDgQS655BLy8/MBuPXWW/n0009ZsmQJTzzxBP/5z38YOXKk8/mZmZmVygng/DkzM/NX33fixIkEBQU5l6ioqKrEFhERqVOGdmvKrQnNMQx44LPN7D9e98ajWIyLmJYuNzeXFi1a8NprrzFmzJhfrF+8eDFXXXUVqamptGrVinHjxnH48GHmzZvn3KawsJAGDRrw3XffMWjQoHO+T3FxMcXFxc6f7XY7UVFR5OXlVTqFJCIiUl+UlDlI+vcaUg6domWTBnw9vi+BPp5mx/pNdrudoKCg8/r+vqiRNcHBwbRt25bU1HOfA0tISABwrg8PDycrq/KhqB9+Dg8P/9X38fb2JjAwsNIiIiJSn3nZrLyb1IOIIB8OHD/NhM83U16H5ke5qIJSUFDA/v37iYiIOOf6zZs3AzjXJyYmsm3bNrKzs53bLFiwgMDAQGJjYy8mioiISL3TJMCb92/rgbfNyuLd2by2YI/ZkapNlQrKww8/zLJlyzh06BCrV6/mhhtuwMPDg1tuuYX9+/fz/PPPs2HDBg4dOsSsWbMYNWoUl156KV26dAHg6quvJjY2lttuu40tW7Ywb948nnzyScaPH4+3t3eNfEAREZG6rEuzYF4ZVvE9+86S/fw3Je13nuEeqjQPypEjR7jllls4efIkTZo0oV+/fqxZs4YmTZpQVFTEwoULef311zl9+jRRUVEMGzaMJ5980vl8Dw8P5syZwz333ENiYiINGjRg9OjRleZNERERkaq5Pq4puzLtvL/sAI/P2IYFCzf1dO8LSi5qkKxZqjLIRkREpD4wDINnZ+1gavJhLBZ4ZVgXbop3rZJSa4NkRURExDVYLBaeva4joxJbYBjw2Fdb+d+GI2bHumAqKCIiInWExWLh79d15LbeFSXlkf9t4YuUdLNjXRAVFBERkTrEYrHw3NAfS8qjX23lqa+3U1xWbna0KlFBERERqWN+KCl/vrI1AP9Zc5jhk5JJzyn8nWe6DhUUERGROshisfDQ1e2YfEdPgv082XokjyFvrmDhTve4d48KioiISB12RbtQvr3/ErpFBWMvKuOuT9YzfvpGUrPzzY72m1RQRERE6rimwb588adE7ugbDcC3WzO4+l/LefC/mzl04rS54X6F5kERERGpR3Zl2PnXgr3MP3uqx8NqYWDHcC5t25g+rRoTFeJXY+9dle9vFRQREZF6aNuRPF5bsIcle45XerxZQ1/6tGrE1bHh9I8Nq9b3rMr3d5WmuhcREZG6oXOzICbf0YutR3JZuDOL1ftPsjk9lyOnzvDF+iM4DKq9oFSFCoqIiEg91qVZMF2aBfMX4HRxGSmHckjef5LerRqZmksFRURERABo4G3j8nahXN4u1OwouopHREREXI8KioiIiLgcFRQRERFxOSooIiIi4nJUUERERMTlqKCIiIiIy1FBEREREZejgiIiIiIuRwVFREREXI4KioiIiLgcFRQRERFxOSooIiIi4nJUUERERMTluOXdjA3DAMBut5ucRERERM7XD9/bP3yP/xa3LCj5+fkAREVFmZxEREREqio/P5+goKDf3MZinE+NcTEOh4Njx44REBCAxWKp1te22+1ERUWRnp5OYGBgtb62VKZ9XXu0r2uP9nXt0b6uPdW1rw3DID8/n8jISKzW3x5l4pZHUKxWK82aNavR9wgMDNRv+FqifV17tK9rj/Z17dG+rj3Vsa9/78jJDzRIVkRERFyOCoqIiIi4HBWUn/H29uaZZ57B29vb7Ch1nvZ17dG+rj3a17VH+7r2mLGv3XKQrIiIiNRtOoIiIiIiLkcFRURERFyOCoqIiIi4HBUUERERcTkqKD/xzjvvEB0djY+PDwkJCaxbt87sSG5v4sSJ9OzZk4CAAEJDQ7n++uvZs2dPpW2KiooYP348jRo1wt/fn2HDhpGVlWVS4rrj5ZdfxmKxMGHCBOdj2tfV5+jRo4wcOZJGjRrh6+tL586dWb9+vXO9YRg8/fTTRERE4OvrS//+/dm3b5+Jid1TeXk5Tz31FDExMfj6+tKqVSuef/75Svdy0b6+MMuXL+faa68lMjISi8XC119/XWn9+ezXnJwckpKSCAwMJDg4mDFjxlBQUFA9AQ0xDMMwPv/8c8PLy8v4+OOPjR07dhhjx441goODjaysLLOjubUBAwYYkydPNrZv325s3rzZGDx4sNG8eXOjoKDAuc3dd99tREVFGYsWLTLWr19v9O7d2+jTp4+Jqd3funXrjOjoaKNLly7GAw884Hxc+7p65OTkGC1atDBuv/12Y+3atcaBAweMefPmGampqc5tXn75ZSMoKMj4+uuvjS1bthjXXXedERMTY5w5c8bE5O7nxRdfNBo1amTMmTPHOHjwoPHll18a/v7+xhtvvOHcRvv6wnz33XfG3/72N2PGjBkGYMycObPS+vPZrwMHDjS6du1qrFmzxlixYoXRunVr45ZbbqmWfCooZ/Xq1csYP3688+fy8nIjMjLSmDhxoomp6p7s7GwDMJYtW2YYhmHk5uYanp6expdffuncZteuXQZgJCcnmxXTreXn5xtt2rQxFixYYFx22WXOgqJ9XX0ee+wxo1+/fr+63uFwGOHh4cb//d//OR/Lzc01vL29jc8++6w2ItYZQ4YMMe68885Kj914441GUlKSYRja19Xl5wXlfPbrzp07DcBISUlxbvP9998bFovFOHr06EVn0ikeoKSkhA0bNtC/f3/nY1arlf79+5OcnGxisronLy8PgJCQEAA2bNhAaWlppX3fvn17mjdvrn1/gcaPH8+QIUMq7VPQvq5Os2bNIj4+nuHDhxMaGkpcXBwffvihc/3BgwfJzMystK+DgoJISEjQvq6iPn36sGjRIvbu3QvAli1bWLlyJYMGDQK0r2vK+ezX5ORkgoODiY+Pd27Tv39/rFYra9euvegMbnmzwOp24sQJysvLCQsLq/R4WFgYu3fvNilV3eNwOJgwYQJ9+/alU6dOAGRmZuLl5UVwcHClbcPCwsjMzDQhpXv7/PPP2bhxIykpKb9Yp31dfQ4cOMB7773HX/7yF/7617+SkpLC/fffj5eXF6NHj3buz3P9naJ9XTWPP/44drud9u3b4+HhQXl5OS+++CJJSUkA2tc15Hz2a2ZmJqGhoZXW22w2QkJCqmXfq6BIrRk/fjzbt29n5cqVZkepk9LT03nggQdYsGABPj4+Zsep0xwOB/Hx8bz00ksAxMXFsX37diZNmsTo0aNNTle3fPHFF0ybNo3p06fTsWNHNm/ezIQJE4iMjNS+ruN0igdo3LgxHh4ev7iaISsri/DwcJNS1S333Xcfc+bMYcmSJTRr1sz5eHh4OCUlJeTm5lbaXvu+6jZs2EB2djbdu3fHZrNhs9lYtmwZb775JjabjbCwMO3rahIREUFsbGylxzp06EBaWhqAc3/q75SL98gjj/D4448zYsQIOnfuzG233caDDz7IxIkTAe3rmnI++zU8PJzs7OxK68vKysjJyamWfa+CAnh5edGjRw8WLVrkfMzhcLBo0SISExNNTOb+DMPgvvvuY+bMmSxevJiYmJhK63v06IGnp2elfb9nzx7S0tK076voqquuYtu2bWzevNm5xMfHk5SU5Py19nX16Nu37y8ul9+7dy8tWrQAICYmhvDw8Er72m63s3btWu3rKiosLMRqrfxV5eHhgcPhALSva8r57NfExERyc3PZsGGDc5vFixfjcDhISEi4+BAXPcy2jvj8888Nb29vY8qUKcbOnTuNcePGGcHBwUZmZqbZ0dzaPffcYwQFBRlLly41MjIynEthYaFzm7vvvtto3ry5sXjxYmP9+vVGYmKikZiYaGLquuOnV/EYhvZ1dVm3bp1hs9mMF1980di3b58xbdo0w8/Pz/j000+d27z88stGcHCw8c033xhbt241hg4dqktfL8Do0aONpk2bOi8znjFjhtG4cWPj0UcfdW6jfX1h8vPzjU2bNhmbNm0yAOO1114zNm3aZBw+fNgwjPPbrwMHDjTi4uKMtWvXGitXrjTatGmjy4xrwltvvWU0b97c8PLyMnr16mWsWbPG7EhuDzjnMnnyZOc2Z86cMe69916jYcOGhp+fn3HDDTcYGRkZ5oWuQ35eULSvq8/s2bONTp06Gd7e3kb79u2NDz74oNJ6h8NhPPXUU0ZYWJjh7e1tXHXVVcaePXtMSuu+7Ha78cADDxjNmzc3fHx8jJYtWxp/+9vfjOLiYuc22tcXZsmSJef8+3n06NGGYZzffj158qRxyy23GP7+/kZgYKBxxx13GPn5+dWSz2IYP5mOT0RERMQFaAyKiIiIuBwVFBEREXE5KigiIiLiclRQRERExOWooIiIiIjLUUERERERl6OCIiIiIi5HBUVERERcjgqKiIiIuBwVFBEREXE5KigiIiLiclRQRERExOX8P3s3n+OztwwfAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "speaker_params = ay_param_means[\"F1\"][0:5]\n", + "speaker_fit = idct(\n", + " speaker_params,\n", + " n = 100,\n", + " orthogonalize=True,\n", + " norm=\"forward\"\n", + ")\n", + "\n", + "plt.plot(speaker_fit)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The code below for getting fitted F1 tracks for each speaker is a bit detailed with respect to how polars dataframes work, but the process could be replicated in whatever way a user feels comfortable." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "ay_fits = (\n", + " ay_param_means\n", + " .group_by([\"file_name\", \"group\"])\n", + " .agg(pl.col(\"F1\"))\n", + " .with_columns(\n", + " f1_fit =pl.col(\"F1\")\n", + " .map_elements(\n", + " lambda x: idct(x, n = 100, orthogonalize=True, norm = \"forward\").tolist(),\n", + " return_dtype=pl.List(pl.Float64)\n", + " ),\n", + " time = pl.lit(np.linspace(0,1,100).tolist())\n", + " )\n", + " .explode([\"f1_fit\", \"time\"])\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.4.1'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var reloading = false;\n var Bokeh = root.Bokeh;\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks;\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n if 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\n", + "" + ], + "text/plain": [ + ":NdOverlay [group]\n", + " :Curve [time] (f1_fit)" + ] + }, + "execution_count": 14, + "metadata": { + "application/vnd.holoviews_exec.v0+json": { + "id": "p1004" + } + }, + "output_type": "execute_result" + } + ], + "source": [ + "ay_fits.plot(\n", + " \"time\",\n", + " \"f1_fit\",\n", + " by = \"group\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Getting derivatives" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we wanted to get the first derivative (or the rate of change) of the formant track smooths, this can also be calculated (code modified from [here](https://stackoverflow.com/questions/57675927/how-to-calculate-spectral-derivative-using-scipy-fftpack-dst-dct).)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.fft import idst\n", + "\n", + "def first_deriv(coefs, size = 100):\n", + " hatu = coefs.copy()\n", + " for i in range(hatu.size):\n", + " hatu[i]=-(i)*hatu[i]\n", + " hatu[:-1]=hatu[1:]\n", + " hatu[-1]=0\n", + " dotu=idst(hatu, n = size, type=2)\n", + " return dotu" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "speaker_fit = (\n", + " ay_fits\n", + " .filter(pl.col(\"group\").str.contains(\"group\"))\n", + ")\n", + "\n", + "speaker_params = (\n", + " ay_param_means\n", + " .filter(pl.col(\"group\").str.contains(\"group\"))\n", + " .select(\"F1\")\n", + ")\n", + "\n", + "speaker_rate = first_deriv(speaker_params[\"F1\"].to_numpy(), size = 100)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(nrows= 1, ncols=2)\n", + "axes[0].plot(speaker_fit[\"f1_fit\"])\n", + "axes[0].set_title(\"f1\")\n", + "axes[1].plot(speaker_rate)\n", + "axes[1].set_title(\"first derivative\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.10.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/pyproject.toml b/pyproject.toml index 9ce4256..1e109d4 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -50,6 +50,8 @@ quartodoc = "^0.6.5" nbformat = "^5.9.2" jupyter = "^1.0.0" ipython = "^8.18.0" +hvplot = "^0.9.2" +pyarrow = "^15.0.2" [build-system] requires = ["poetry-core"]