{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ChebLieNet: convolution, pooling and unpooling layers\n", "\n", "In this tutorial, we introduce three kinds of neural network layers we are using in this thesis. The Chebyshev convolutional layer is a spectral method and has a diffusion effect on a original signal. The pooling and unpooling layer are used to modify an image resolution, by down-sampling and reduction (pooling) or by up-sampling and expansion (unpooling)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:08.270961Z", "iopub.status.busy": "2021-11-23T16:18:08.269598Z", "iopub.status.idle": "2021-11-23T16:18:09.575755Z", "shell.execute_reply": "2021-11-23T16:18:09.575199Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "\n", "import numpy as np\n", "import torch" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.580964Z", "iopub.status.busy": "2021-11-23T16:18:09.580364Z", "iopub.status.idle": "2021-11-23T16:18:09.775035Z", "shell.execute_reply": "2021-11-23T16:18:09.778483Z" } }, "outputs": [], "source": [ "from cheblienet.graphs.graphs import SE2GEGraph, SO3GEGraph, R2GEGraph, S2GEGraph\n", "from cheblienet.nn.layers.convs import ChebConv\n", "from cheblienet.nn.layers.pools import SE2SpatialPool, SO3SpatialPool\n", "from cheblienet.nn.layers.unpools import SE2SpatialUnpool, SO3SpatialUnpool\n", "from cheblienet.utils.utils import delta_kronecker" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.801619Z", "iopub.status.busy": "2021-11-23T16:18:09.796866Z", "iopub.status.idle": "2021-11-23T16:18:09.805796Z", "shell.execute_reply": "2021-11-23T16:18:09.807071Z" } }, "outputs": [], "source": [ "def plot_signal(graph, signal, size):\n", " M, L = size\n", " \n", " fig = plt.figure(figsize=(3*L, 3))\n", " \n", " X, Y, Z = graph.cartesian_pos()\n", " \n", " for l in range(L):\n", " ax = fig.add_subplot(1, L, l + 1)\n", " ax.scatter(X[l*M:(l+1)*M], Y[l*M:(l+1)*M], Z[l*M:(l+1)*M], c=signal[...,l*M:(l+1)*M], cmap=cm.PiYG)\n", " ax.axis(\"off\")\n", " \n", " fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SE(2) Group Manifold Graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convolutional layers" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.818690Z", "iopub.status.busy": "2021-11-23T16:18:09.817017Z", "iopub.status.idle": "2021-11-23T16:18:09.841022Z", "shell.execute_reply": "2021-11-23T16:18:09.841827Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph already exists: LOADING...\n", "Done!\n" ] } ], "source": [ "se2_graph = SE2GEGraph(\n", " [28, 28, 6],\n", " K=16,\n", " sigmas=(1., 0.1, 0.0026),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.846156Z", "iopub.status.busy": "2021-11-23T16:18:09.845140Z", "iopub.status.idle": "2021-11-23T16:18:09.854691Z", "shell.execute_reply": "2021-11-23T16:18:09.856849Z" } }, "outputs": [], "source": [ "in_channels = 1\n", "out_channels = 1\n", "kernel_size = 4\n", "conv = ChebConv(in_channels, out_channels, kernel_size, se2_graph)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.866036Z", "iopub.status.busy": "2021-11-23T16:18:09.862714Z", "iopub.status.idle": "2021-11-23T16:18:09.892516Z", "shell.execute_reply": "2021-11-23T16:18:09.893607Z" } }, "outputs": [], "source": [ "with torch.no_grad():\n", " input = delta_kronecker((1, 1, 28*28*6), (0,0,406))\n", " output = conv(input)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:09.900198Z", "iopub.status.busy": "2021-11-23T16:18:09.899059Z", "iopub.status.idle": "2021-11-23T16:18:10.512837Z", "shell.execute_reply": "2021-11-23T16:18:10.513826Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/data/aa/cheblienet/lib/python3.9/site-packages/matplotlib/collections.py:922: RuntimeWarning: invalid value encountered in sqrt\n", " scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n" ] }, { "data": { "image/png": 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DhvtzivE9ww0GeucngRJbYhfDIP6oH2DE+EWK8TTDvUgsYF1vfN+NKY7nDXd6in+C4fZIsVhsgFFg8i7MSHEcZLgPiPm/0Pi+h4k5vsdwlwHLexe84Y5KbqrhfklcCxZrYhQq01pbnrj2cjcmxT/c+L7biTl+wnBDiTkeZ7j9gT756cf5zLnEoutVhjuAWJx70nBbA+t7F0LjwRT76hgFL+/CR8QTcVah7JH0nVbB3qUYzzfcCcB2xJzn7A5s6l0YbbgNgbXyE57pVG3/FGce/2vEItmuxvf9PcVxrOH+lOKvOT1MLOZtDYww3HbABvnJzsTsE8lznN70LnwGrIdd8H2auNfsZ7hrie/I2YY7LbkbDTcwXesFw20GrJP2qsYxTieukZqCXTphuRHx5GfO/cS1U7NnE/fq7YmnJ3OOIv4/wNpP5omGWbN+zndSCCGEEEIIIYQQQgjRlNAJQiGEEEIIIYQQQgghmjEqEAohhBBCCCGEEEII0YxRgVAIIYQQQgghhBD/sZRV0ZA68FquZVkVi9VxbVPnYcstWFZF3vxjtutcVsUCddxiRtON2a6b1bylrIoWc4m/dep8a7n2ZVUsXMctnDqBW65LnUZDlFWxeOouno83pO7h1py55XiB1DXdch3LqrAaNlFWRafUhMlyXVPzIMvVy/Hc1kir1LXbcu1SR3LLLVRWRYc6btHUyMRyc83xXNbI4vn4v4MKhEIIIYQQQgjRRCir4oSyKj6xflSWVXFdWRUj68x7qqyK24zxNmVVfFBWxZmG61VWxRdlVexhuF+UVfFVWRU1XYzLqhhYVsWEsioKww0tq+I968d5WRV3lVXxWJ34x5RV8VdjfOGyKsaXVXGU4fqUVfFlWRU1zVnKqtimrIqJZVWsaLgj03fWFE7KqnBlVbxSJ8ZHy6q42xhvWVbFu2VVnGe4bmVVfF5Wxb6G659yXNOZtqyKAenZ9DLcGWVVfGgVoMqquKWsiqfrxP9CWRU3GOPt05qr6chbVsWyKY6a5iZlVWyacryq4Q4qq+Izq3BVVsXFZVW8aRU55iNHA+PLqrAabwwHPiurYjXDPQF8WVbFHB2vU+wfATWNNVKR5gtiQ5Lc9Qc+Izahyd2ewHhiV+WcM1P8VlOOW4EJZVUsb7hRwOd5ITAV1j4DxhhxLANMIDYkyd1mwKfYnbIHA6GsCqvj+CXEHFsNdEYQc2wVF98GPsmLZWUs2n4BPGXE2A/4HKMhTVrH47GbrPyOmGOrq/v1xDzW7CfAs8AX+X5SxgLrOKCm0VBZFT1T/PcZ7hfEHFuNjfYFArGxTs55wKdlVWxkuHnCrKgKIYQQQgghhPg/4TXgOeB7wz0PTK4z7znij8qcGcQfsFbRa0qa94HhPk3X+9xw76d5XxtuNNAD+NFwzwHmaaYU48vG+LTkxhpuIrGr6CeG+4QY/0TDjU2xTDPci8DMOjE+B3xrjM8EnsGO/5sUh9Xx+fPkxhvug+SsbtavEHMyo06MPYzx2e4dY3x6+r7XDTeJmOOPDBeS+8Jwb6frWZ2WRwEL/sxdjN8CPk6fnNHEbr7WfYwEWgPfGe4F7HX+LfEZjTLcBOJaqCnMAR+m+Kxn9Hry1lp5mdhFe5LhXgK+Ij7jxvxAvDfr3ZlMfEdeMtz4FIe1Vt4lxv+h4V4h3re1n7wEdCK+KzkjgXZAvla+Iz43K8cTiTkcbbhPiGvZ6g4+NjkrJ6OJHYm/MtwoYn7z/eRHYvyTjDlfE/d6K8efEffYVw33ATHHVsfn15K3/j8wT6iLsRBCCCGEEEIIIYQQzRj9FWMhhBBCCCGEEEIIIZoxKhAKIYQQQgghhBBCCNGMUYFQCCGEEEIIIYQQQohmjJqUCCGEEEIIIUQTIXUQXcu7cLPhVge6ehceNNxmwNfehRcMtyswxrvwdjbeEhgI3Odd+DxzHYE9gBu9C1Mz1x3YErjOuzAzcyXQx7tgdUBdF1jAu/C44bYFxnkXxmTjDcCewNPehQ8z1ybFf4d34avMdQJ2TjFOz9ySxKYUN+aNMsqqWAXo4V2wuotuDHzvXXjWcDsCb3oXxmbjLVKMI7wL4zPXHtgLuNm78E3mFgO2A671LvyYueWBVbwLVtfq/sDC3oWHDbcV8IV3oaaxQ1kVA4AXvQvvZeOtgH2Au70LX2RuIWB34HrvwrTM9QQ2SS7PcV9gWe9CTUfo+UXK2WHAud6FTzO3LnGtnGas9R2AlYHfG/cxBJjhXXDZeAvgFGCUd+HezHUAzgBu9S48n7kCOB642LvwbuZWJnauPcu7MDFzmwKbA6cba31P4no+38jJb4DPvAs3ZOOtgdOBx/J1lN6rU4GrvAuvZG5p4CjgPO/CJ5nrDwxIMeZrfTugf7q3fK0fSNwzhmXjDcBJwFjvwh2Za0fM8V3ehacztzhwIjDMu/BW5voABxOf9YTMbUh8H08z1vpuwLLAUGONHAZ84124OhtvCZwGPONdeCBzCxHzf7134aXM9QJ+C/zJ2A9XI+41Z3gX6jWzmis6QSiEEEIIIYQQTYejgWvLqrC6/f4JuLrOvOHAxflgWRVtgeuJP4pzegMO+LXhtgAuIxZ5cvYB/gosY7hTgBtSkSHnknQ9i2uBPxrjXYBrgMMNtwZwObCT4XZIrr/hDiXmsavhhqZYLP4CDMsHUxHtBmLhJGcpYq72M9xGxBxvabi90vVKw50AXJ8KITkXA1ca4wBXEdfQHKSCxHXAb4w5/YAriIXAnG2J8a9vuEEpjp6GO4sYf0OdOOcHBwBHYK+VU4BjgHUMdyEx3qLxYIr9Uoz1APQiFnhqck0sTP8W+33cNcW4j+EOJxbftjLc79P3rWy4i4Hz0jNuHH8H4AKMPQPoSyy+nWO4LVIcRxpuYIp/N8OdQLzvDQ13PrFYtpThLgUuTQW1xnQDzsbO8VrAsek7c3ZIsVeGG5zcLw13OnAcsZNxzoXAucS96r9Jf4DxX+kecpYnrjtrz9uE+P+BYw03gJjjPQ33mzRvM8PNEzpBKIQQQgghhBBNh5OB4XVOgOwJLFhn3ubAd/mgd2FaWRVrAR8b7o2yKn4BjMkdcDewMVBzWo74o/cx78I7hjuCeErrB8PtCFiFQ4iFk6/yQe/ChLIq1gberp3Cc8SCw0jD3QC8hR3/WcRTe58bbl+gU50YtwZmGDHOSDGON9x7ZVWsB7xufN+DxBw/Z7jLgWe9C9a8Y4A/exdqnjexyGQVDknX+tqIcUpaI+8bc14GNkj/zbkN+Ag7x+cB93oXatYd8ZRW1/y01XzmfOAd4CbDHUpcf08YbmdgSe/CuMaD3oVZ6dTuzHyCd+GDsip2Bt7NHfAwcY1Z17oS+Ba4w3CnEvNsuf2A1YCXDPdLoLN3YUoW47dlVWwNWPvMGOLpYWtfuJNYbH3AcBcD44BbDHc0cBcwwnC7A8vnpyYTWwCt85OF3oXx6XTnJ8acfxKLlc8Y7nriO2ydXj2beM81p7eBg4C1sd/VHYFu+alD78L0siq2wNiXgTeJhdSxhruP+EwfMdwVwETiu5dzQppzj+HmiYZZs37Od1IIIYQQQgghhBBCCNGU0F8xFkIIIYQQQgghhBCiGaMCoRBCCCGEEEIIIYQQzRgVCIUQQgghhBBCCPEfTZ3GOZRV0fAvnNm7oayKlkbzjNmuVb0mLPWu9VPdv4i/xVzib5U6LpvXaiLx/+Qc/2/G//+Q45ZNIcfzigqEQgghhBBCCNFEKKticFkVr1gdasuquKisigfrzLurrIorjPHWZVWMKquipkNtWRXdy6p4u6yK7Q23RlkV75ZV0c9wO5VV8WZZFTVdgMuqOLGsihesH/VlVVxZVsXtdeJ/tKyKmo6eZVV0LKvitbIqDjDcMmVVvFNWxcaG2yi55Qy3f1kVr5dV0dFwQ8uqeKxOjLeWVXG1Md4i3fNJhuuScrWL4VZOOV7TcNulZ9PdcEeXVfFS6pKau8vKqjCbFJRVcX9ZFWan67IqxpRVMcRwvVIcNZ2Wy6pYN8Xfx3B7llUxtqyKmoYvZVWcUVbFM/WKI/ODsioGAdPLqtjW0BcB35dVsaLhRgCTy6pYJPu+BmJTl5rmOWVVLApMAf5huH7pWucZ7lcpxv0Md1xyvzBivBaYWlbFkoZ7HphQxm7mjb9vAeAzjAY/ZVUsQWyWcoPh1ktx1HRhLqti7+RqOkWXVXFucqsaMd4NTLH2E2ITj4/yIlsZuzJ/hdHIo6yKEvie2Ewpd1ulOAYb7ojkrC7AVwDTrP2E2HBmYr6fpKLhOOA141rdiA2DavbDtB9ML6viLMPtltwehjstubWMGOcJdTEWQgghhBBCiKbDN8AkjO6oaXxSnXmT67hZyU0x3Iw0Z6rhvk/zphvuu+RqOvqm8cnpujmTsO9rtrM6qs5M498a7oc0b5rhplE//p+a40l14pjtrPjnluPpac73hvsuzbNyPCXNqxd/TeEzUW+NzM7xN4b7Ibl6OZ6EneNv07wfDTepThzzk6npY3WUnZI+1n3Mzpl1H19hP58fqZ/r6cQ813STTrF9h73Gvknj1lqZ/X5bncMnpTjztTIzjVsx/sD/rLGc71Mc1lqZnV8rx1+nT70cz20/mU7tfjJ7zVoxTud/nmnOtBRnvRxPxV7rk4nx18vxJGpzPIv6OZ7B3HP8DXb8s/Nr7SdfE+/LyvE8oS7GQgghhBBCCCGEEEI0Y/RXjIUQQgghhBBCCCGEaMaoQCiEEEIIIYQQQgghRDNGBUIhhBBCCCGEEEIIIZoxalIihBBCCCGEEE2EsioWB1b0LtR00i2rYlmgk3fB6jy6GjDVu/Cm4TYE3vYujM/GG4Ctgae9C1My1wbYCnjAu/BD5hYB1gEe9C7MylxPYCnvwlNGHH2ANt6FMYZbC5jgXXjfcJsBr3gXJmTjLYBtgUe9C1Mz1x7YFLjfu/Bj5roAq3gXrA6oSwOLeReeN1w/4AfvwljDrQ986F34JBtvALYEnvcuTMpca2L+R3gXvs/cQsD6xPznOe4OLO9deNKIYwWgg3fhZcOtCUzyLrxjuI2Bsd6Fz7LxFinGJ70L32SuLbB5inFG5joDa3oXRhjX6gX08C48m7v5RVkVPYBfA38xnkNfYAvgUmOtbwgsB1xlPIedgJnehbuy8QbgQGI+n85cG+BQYs7GZq4zMAi4znhXlwZ2AS7zLnybuTWI7+PlxlrfAujqXbjRyMmewETvwoPZeAtgMPBCvtek9+oQ4A7vwnuZWxzYFxjuXfgycyWwDTDMWOvrAX2Bvxo53p64Z9yejTcA+wHveReeyFzrFOOj3oVXM7cwcBBwk/Gu9gIGAFcY++EqwEYp/nytbwr09C5cS0bqOjzVu/CPbLwhxTHGu/Bc5toS18g93oW3MtcV2B+42rvweeaWA3ZIMVqNYv4lOkEohBBCCCGEEE2HU4EH0w/ZnOHAvXXm/R24Lh9MPzZHAOcac/oCdwOV4bYH7iAWCXOGAPcAyxvuPOCh9CM950bgdmMc4H7ginww/SB+ADjBmLMu8b73Mtweya1nuBOAB8qqWMxwl6dYLG4HbjJibAU8BFxgzFmW+MwONdyWxBxvb7hBxGezkuF+T8xxe8NdC9xljEN8Zlfmg6kYOQI4zZizevq+fQ23MzHHmxjuKOAfqeiSczEwIhVJfi4OB4Zir5XzgQuBDQ13NfG969F4MMV+B/Z6XgpwaW7OpsCfgD8YbmCKcYjhTiK+WzsY7pL0Wc1wNwE3pGfcOP4OxPfxZmPOKsClwGWG2z7FcYrhBqf4rbVyDvG+NzfclcBfiO9Kzm3AbWVVtMzGu6V5NXsesbB+Efb7uAfwR+L6zDkmuV0NdxHwZ2Btw10HXJP2qv8mFYNvSZ+ckrjXOMNtTVyTZxpuf2KODzTc6WnetoabJ3SCUAghhBBCCCGaDmcDd3kXJhvuIKBznXm7Ad/mg96FaWVVbAfUnCwEXieeSqo5iUYsag0gFo5yLgdeBd423PHEEzg/GG4g0MaMPhYePs8HvQsT0imil4w5zxHv+yHD/Q34CnjGcH8EHs5P4CQOIRYfLAYA040YZ5RVsS3wXu0U3gV2qhPHQ+k77zPccOAd4DXDnQLckJ+aTOwPdDSjhx2BSfmgd2FKWiPWtV4iFkweNdzfge+AmtOuxCLg88DHhjsaWCI/LTafuQSYgl0QOx54BPin4Q4kFsLHNR70Lswqq2J3YKYx5wNika/mpCkxV8dhP/PrgQ7ANYb7A3Et3W24I4iF8JpTo8R3rmt+Is678G1ZFfsAXxpzXgGOJD6/nH8AJxILdzl/AX4gFqlzTgaeJeY5pwJWJt5fzh5A6/xkJPApcT+05jxDLPY9bLi/EffQGwz3J2A8dtH3t8DGwAuG24+4nuc44exdmF5WxV4Y+zJxPz4MGG24B4lr0nrWVxPreDWFfuAs4r5c7w84/iUNs2b9nO+kEEIIIYQQQgghhBCiKaG/YiyEEEIIIYQQQgghRDNGBUIhhBBCCCGEEEIIIZoxKhAKIYQQQgghhBBCCNGMUZMSIYQQQgghhGgilFWxB3AwsJV3YXrmTgH6eBdqOrGWVXElMN678LtsvCWxC/CN3oWrMteF2Nn2JO/CY5lbkdgs4dfehbcytwVwBrCdd+GrzB1MbIaxnXdhZub+CCzsXTjYiP9WYKR3YWg23i7Ff7F34fbM9SR2kj3Mu/BC5voTO7Hu4l34OHM7E7uYbuVd+C5zxwJrexdqOpmWVXE58I134ZhsvAWxqcvd3oXLM7cIsSHFGd6FBzO3ArFZwn7ehdcztzGx8/T23oUvMrcfsDewtXdhRubOBnp4F/Y34r8BeNO7cGY23oaY4796F27MXDfgTuC33oWnM7cKsQvrHt6F9zK3HbHz7tbeha8zdwSwBfCrn6tRSVkVA1Ks23sXnsjcacRGH2t5F97N3M3AOsBK3oVvGo03ACOBGd6FtbM5CxObRTzuXdgncysQm+uc7104J3ObERu/7OdduCNzBxO7127mXRiVuQuBPYHVvAvjM3cfsTvwyo33k9Rl/BXgI+/CVtmcxYExwK3ehcMztxqx0cqJ3oXLMrcjsUHJrt6FEZk7jtg9fD3vgs/c1cBmKcZJmXsaaA+s3nitpC7MrxH3jN2yOUsDLwLDvAunZm4D4rs6xFjr+wD/RVyzz2buD8SGNWt4Fz7K3N+BfsQ18l2j8RbEJiRfeRc2yuYsSsz/P7wLB2WuL/AUcKZ34cLMbUNstLKXd+HezB1J7GS8kXfhFX4CKhAKIYQQQgghRNOhC7AY0NJwiydnsRhgFVtaJNfFcG2SW8hwHYCuxB/nOQunea0N1zXF2WC4bnWuRfo+695apnGre3PbdD2ra2/HNK+t4TolZ/0eXjx9LBYn5iWnIbmuhmtN/Ry3S3Os71wozbO6Ps9eI9bfCJxb/IthdDEm5nhxYFHDLZDmLWi4DtTP8SLUz/Fic4lxfrEI8R6s++hKXF/WfcyO1bqPbsAMY7wV9e+xHXH9WWtldnyLGK4z8b2z1srstbdAnRi7UbtWWqTxmq7cxDU3e43ltE9xWPvJQsw9x52I958z+9239pPu6ZoNzLm/taL+ftiWuJatHHdMcXYy3KLJWftJ1+StHM9+5/I9u0WK35rThv/ZK3PaE9eAFf/sHFv7SZc0z9qz5wl1MRZCCCGEEEIIIcR/NGVVtPUuTDPGG4AF6rgWQGvvwveGaw3Myk9xJrcA8EN+inZ2HMD31unJejH+P8TfEmiZn0ZOrg3wo3fhx//jGOeW41ZAg3fhhzrxz2jiOf7Ja+TfjfFfuXlBBUIhhBBCCCGEEEIIIZoxalIihBBCCCGEEEIIIUQzRgVCIYQQQgghhBBCCCGaMWpSIoQQQgghhBBNhLIqFgSW9C68ZrjFgAXzTqvJLUX8N7fGG25FYJx3YbLhVgdez//9r/Tvgq1J7BKadyNuS+ym/LLxfZ2Abt6FsYYriP/W2IeGWw6Y7F2YYLh+wHuNu8im8YYU4+j83yhL/3bZain+WZnrACxrdfpMnZ07eRfeNlwv4r/ZNs5wJfBZ3tU5udUAb3RMnp3jUfm/A5f+fbK+3oWXjO9bmNip+A3DdQPaeRfeN9yyxC7MnxluJeBDo+NwA7A68KrRVbtlclaO2wMreBdGG9daFOjiXXgzd/OLtC63J3bmzZ9DL2A94BZjra8M9PIu/MP4zg2AmXl35+R+CbxvdKduCewO/NO78EnmOgC7ELthT8rcYsCWKcb8OSwHrALcYTyHNYjr+WEjxs2AKd6FF7PxBmAn4jN/O3OtgQHAQ/k6SutyB+B278K3mesBbAT8zVjrKwLLeRfuNmJcD2jlXXjScNsQ97VXsvEWwG7Ac/lek7qi70rsHjwxc12AbYhrZFrmlgb6J5fneFVg8bxLeXIbA9O8C88ZbgdiV/G8q3MrYo4f8y6EzC1IfDZ3ehemZK47sCkxx1bznH+JThAKIYQQQgghRNPhHGBU+rGdcwvwVJ15jwF/zwdTMW8UcKHhVgSeBw4xvm8H4Glga8MdCbyQChM5lwAjUyEh5x7goTrxPwtcZ8TYFRgJnGbMWQd4BhhouL2TW89wp6UYrS6h16VYLB4C7jVibEXM8TDDLQO8ABxlfN9WxBzvYLghwPNlVfQ13AXAS6kIl3MH8LgdPk8S11Ae40LE+M815qwGPAccaLjdiDne1HDHAS+WVbGE4VxyVqfr+cVxwDXAfoa7HLgJ2NhwdwL3pgLXf5NifwIj16lYfw/xWeRsDtxIfE9yDkwxHm24s4lrcxfDXQfcRizW5jwAPJSeceMYOwAPJ5/TD7gduMFwO6XrnWO4I1P8Bxnu4vR9WxnuduCuVMDOeRR4IhVWG8ffDbgPqCkqAhsANxPXWc5A4FrgRMOdktyehhsO/A1Y13D3Ag/k+0lqovIYMc9kriSurZr3EdgWuJ74nucMJubY2rP/mOb9ynDzhE4QCiGEEEIIIUTT4c/A89ZpP+BYYLE68wYDU/JB78K0sir2B0Ybc94i/tC8x3APA0cQiyA51wNfAjWn1IiFgzutrqPEAkJbK3hiceQTY/wLYBDwT8O9BBwG3GW4u9O1RhruMuD19N05vwOsohbEXNV0KvUuzCirYj+g5kQf8AHx2ViFmCeJOa4pIBALHN8C1im784BHvAtTDfdbwCouQyzc1JzQ9C5MKaviQGKxOOdV4FCM4jNwP3A4sUiYcyXwEVBz2hI4Hbje6jA7H7mamBdrrZxDfBes+z+eWDCb42Sud2FWWRVHAjUdgIGPgd8Ti645TxOLZTcb7g6gJL5fOZcCPwAjDHcqsfD2quF+C/QA5jgZ6l34tqyKE4FPjTljgfOx1+XDKZbhhrsB6EYsVuacR1wL1nt8PLA28V3JORpoY3Ra/gw4A/udexG4CHvN3g2sSlyfOX8h1shqTosCZxH30JoTvcAxwApk+4l3YXpZFb8FvjHmvAMMxc7HE8QC8rWGuxVYhliszLkImEQsqv4k1MVYCCGEEEIIIYQQQohmjP6KsRBCCCGEEEIIIYQQzRgVCIUQQgghhBBCCCGEaMaoQCiEEEIIIYQQQgghRDNGTUqEEEIIIYQQoolQVsU2xE6b+3gXZmRuMLCCd+E3xrxzgU+9C3/OxlsQGzTc4V24M3MLJ3eOd+HFzC1D/EfvD/cufJi5dYkNU/bxLnyTud2IXTgPyJtQlFVxLLCgd+FUI/6LgdHehSuz8TbErql/9S48lLnFiJ1Kf+ddeC1zfYnNJw7yLnyWuc2BChjoXZieuf2B1b0LhxsxngF86134YzbeQGza8IB34ZbMdUjxX+BdeDpzvYjNCI72Lrybuf7AScB+ecOasip2AHYF9vUuzMzcEUDhXTjBiP8C4B3vwmXZeCtiQ4TrvQv3Za4zsaHDGd6FlzO3ArH5xBDvQsjchsQGLAO9C99lbm9gQ++C1e12vpDeq0uBAcZaP4zY7GZz78InmbuY2C17o8b3kZ75vcAM78IO2ZwOxEYTT+bvalkVSxIbjVzoXbg8c+sQOxwP9i6MyNwAYuOTX3kX3sjc74A9gE28C19k7mpiU4tNG+8nqSvwI8DH3oWB2ZzOxO7Mt3kXzsxcme77FO/CTZnbnNjoY6Cx1itiM4+tvQvvZ+6PwGbEHOf7yd+BdsA2jfeT1J39CeBF78Jh2Zwi3dsV3oWLMrcGsXPwkd6FezO3I7Fz8M7ehTGZOwY4gJjHTzP3F2AlYOPG+0naex8EvvIu7J7NWZiY4/u9CydlblliU6NzvAtXZW5D4p59gHfh8cztQ+zEvJ134S1+AjpBKIQQQgghhBBNh9WIP5YXMNxGwKZ15m0KbGKMt07f199wi6Q5yxuuB7Ax0N1wvdO8hQy3drpeS8NtTP34Nwc2NMbbpTn9DNclxbGU4ZZKrovh+qXvbG+4DVIsFpsQ7yGnBfGe1zHcQmnOCobrnlwPwy2XrreI4fqn67Ux3MbUz/EmxDWUs0Cas5rhOqd5yxiuV3LdDLdich0Nty6weSqy/Vz0BZZOn5y1iGva6hC+LrAm0MFw6wO/MMY7Amtgr4duxLWwpuGWTfH1MdyqyVsdttchFqg6G2695PO10oZ4b+sZczoBKyef0zPFsbrhSmL8yxpuTeJ9W2tl3fR9CxpuPWKe89pVe+J7YMW/WIrF2vOWIq7llQzXL7mlDLc28bksarh1iWuoXTbeslH8OQsRn6m1RnoQ3/81DLc8McfWfrJ6mlcYbt6YNWuWPvroo48++uijjz766KOPPk3k03tQ94Z/1/Ue1L1hbu5/81r/yTH+/z3+/z/E+K/c/PikvCxRx7XqPah79zqufe9B3bvUcQv3HtR94Tqua+9B3dvVcUXvQd1b1YvRyk3vQd1b9B7UvWed72vTe1D3bnVcx96Duneu4zr3HtS9Yx23eO9B3Reo43r0HtS9xb8Zf6veg7oXdb6vbe9B3bvWcQv1HtR9kTquS+9B3dvXcd17D+reuo7r+RNy3Houa6RD70HdF63jOvUe1H3BOm6x3oO6t51Ljlv+mzlu2XtQ9x7W983rp2HWrFn/uooohBBCCCGEEEIIIYT4j0R/xVgIIYQQQgghhBBCiGaMCoRCCCGEEEIIIYQQQjRj1MVYCCGEEEIIIZoIqWtvl7wrbHIdgbZ5p9LkOgM/eBe+Nlw3YifN7w23BDDO6IbbAPTKOxgn1xLonnd8Ta4tsHDeOTi5hYCW3oWvDNcVmOpd+NZwBTDBu/CD4XoRO7HO8W9nrXRIjwZgideGjfvImNMaWMy7MM5w7YEO3oUJhusE/OhdmGK4xYHJ3oVphusJjPcu/Gi4JYGPjI7PLYAe3oWPjTkLAJ3ybqrJLQi09i5MNNyiwPd5p9jkugNf5l2dk5vbGlnCu2DluBWweJ0ctyN2s/48d/OLdM0NgUeM7uCLEhtUPG48hyWJa2WOzsfJ9QVmehfGGm5tIOTPL+VsE2LH7omZa01sFvNEvo7Sc10nxZ8/h27Act6Fp4w4liXmerThVgW+8S68Y7j1gXeNjr2zG/I8n78H6d3fCHg0f1fTu7Ma8JiR455AT+/Cc0YcJdAq71Ke3JrEfSHvst6Q4njN6Orcipjjp7wLUzPXgdhQ5JH8XU3704rehSeMOJYGOnsXRhluZWC6d+FNw61LfPfHZeMNxByP9C5Mylwb4vp5PN/PU2fk/in+n/RvCeoEoRBCCCGEEEI0Hf4AvJOKaTl3AC/Xmfc8cH8+mH60vw1cbLjewLvAIcb3bZfi2MJwRwLvph/GOZcDb6diR85DwNN14n8V+JsRY5cU4xmGWzO5vY3v2wt4d6VDeqxluNOJ92Z1OL45xWLxFPCwEUcr4C3gL4ZbKsV4tOE2B94Bfmlcawgxx70Nd1GK3+rC/A/ghTrxvwTcacSxUIrxj4brB7wHHGB8384pRqv79PHAe2VVWB2arwbe/Jm7GJ8EPADsb7irgEeJHaxzRgAvpALqf5NiH43xPqaC6nPAg8b3bQo8grFWgCrFeKzhhqZYdjHcLcA/y6pYxXBPAS+nAmPjGDuk2J8x4u+b5t1hfN+OKY7zDfebFP9gw11OvG9rP7kfeDa9KzmjgNHpDyUax7g48GL6zpz1gMeAawy3D/G5nGK4M5Pby3A3AI+XVWHtJ48BI1OhuXGMbYAxGO9jWRXLEXN/j/F92xD3yv8y3KHEHB9uuIvSvO0NN0/oBKEQQgghhBBCNB2uBQJQcxIQOA+wCi4Qi141J/OA74k/hq3C3AfAWcB9hnsOOAcYabh7gPZAzQlCYiFglHXaDzgb6GCMA5xMLETlTAROwyh+AmPTdz5quMeA3wNvGO4mYEr67pwLgWXrxHgm8F0+6F2YUVbF74jFjJxxad7dhhtFzPGzhrsP6Ex8RjnDiQXJmliAc4FFjXGIeaw5mUpca6diF1veJq6REYZ7ipjj0Ya7A5gF1JxyBC7BOK03n7kTWAV7rVwBTAdeMdxFwJrAHCdKvQuzyqq4AJhhzPmUWJyy3rmXgb8DfzXcQ8R3yyoa3Uh892sKesClxHVWcxIQ+BOwFJCfGp1KfA41JzyJ7+FNwL2Ge5a4lq833L3EU47WWhkOtCYWqXMuIp7utNbm+UA74/TtF8QcjjHmvAbcRtxLcx4jxn+74W4FlgOeNNxlwCTinpNzEdCH2v33B+J+MtmY8zExh9Y7N5K4Rq423IPE9WHth9cCixD/sOgnoS7GQgghhBBCCCGEEEI0Y/RXjIUQQgghhBBCCCGEaMaoQCiEEEIIIYQQQgghRDNGBUIhhBBCCCGEEEIIIZoxalIihBBCCCGEEE2EsirWJ3YKPd67MDNzuwJLeRdqOoiWVXEkMMG7cGM23kBshDHCu/BY5toTO9cO8y68kbmC2LjiNO/CZ5nrR+y4eqx3YVrmNgc2Bk7Jm1CUVbEv0NG7cKkR/wmA9y7cmY23SjH+zbswxz++v9IhPRYhNuU477Vh4+ZocLL28UssQ+wGe+LzQz+e1Nit97teawMDgOOe+f1HczSZKKtiB2BF78K5RoxDgO+8C1dn4w3ERiRPehceytwCxOYyw70LYzK3WJp3lndhXOZWJHaXPs67MDVzGwNbAycaOd4TWNy7cJER/zHAR96FW7LxFsQuuXd5F57K3ILEztp/9i68lblewInAyd6FLzO3OrAvcY1Mz9w2wFrehZrO1POLsio2IK6jQd6F1zO3F3AwsJt34fPMnQysBexq3MdfgRnehcHZeFtik4x/eheGZq4bsevwJcZz6EdsmPJb78IzmduK+D4O9C68l7mDgV1TjJMzN5TYpGTPxvtJn4OLFsTOvJ+MvSLM0TV5pUN6LEhs4nHna8PGDWvs+h3WY6k07+xXLhk3R6OMvkN6rENsyjHk9cvGjc7i2IXY/XyAd2F85o4FNgF28S58l7lhQDvggMZrPXVJv5XYEOmsbE6X5IZ7F67PXB9iw5QTvQtPZG5TYtOj/Yy1vj8wkJjjiZk7E1gJ2N27MKPReAOxWc0k78IR2Zz2xBw/mL+rZVX0JHZTP9/YD9cgNpc53LswMnPbE7uH7+Vd+IifgE4QCiGEEEIIIUTT4ZfEYoXV7Xc/YLAxDnAQcKAxvkCas5PhugODgPUNtxJwALE7Z84G6VqLG263dD3rMMqBxMKixSHAPsb4QmnONoZbKsW4puFWT24Zw22VvnNhww0EhtSJ8SBivnJapjkDDLdYmrOh4coU40qGWy/NKwy3EzHHbQ13YIrT4mBi0S6nQ3LbG26J9J3rGG6V5FYw3KbEHFsdlfcCDkkFlJ+LTYj3YK2VXYjPx+pevQcxL50aD6ai6q+BvY05iwLbAXsabgXi+7Oj4dZOMVprZVvimuhnuN2BzYGehtsr+fbZeFviet3LmNMD2CLNy1k5xfFLw21AjH9tw+2UfGm4PYjvdxfD/Tp98trVIsAO2PEvQ/xDil0MtyawLnF95myZ3OqG25W4hpY03F7E+1soG2+dnBXj4sQi/x6G60Pck39luHWJObb27O3T+IqGmydUIBRCCCGEEEKIpsPvgMK78LXhdiL+QLdYg/iDcw7SCb8lgKMM9y7QFfir4UYAi3oXHjeuNYx4Su1Dwx0CLOld+MFwm2MXmiAWDmoKEum0Tneg5rTZa8PGjQa6vDZs3C25e37ox7cBXZ4f+vFLxrXOAopnfv/Rl4bbA7uIAXUKC+nU0JLEIlvuPiYWAy4x3JPEHD9oXGs40NW78I7hjgZ65qetEttgFzggFpd2NOL4mliIPNFwb6Q4rjXcPSn+Z41rXUBcI+MNtx+wdH76cT5zLtAfuM5w+wCr1LmPjYHe+SnadBpvBYy1kk6DlsBmhnsSWBW70Dw8xVhzQhg4jviO32W4nYGV8pORif7Ast6FbxoPjr0iTCUWRNfIJ7w2bJwH+hILcDn3pjm/NdyF6XrOcAcBq+anmBNbAGV6V3L6Ast5F35sPOhdmEDMf00x1bvwAnGtDzS+73pikfBsw52a3N8MtwewsnfhZcOtByyfnyxMJ06XxSjqehfeJxYCa/7gI51CXg041LjWZcQc1+wnwBHEd9/aT+aJhlmzfs53UgghhBBCCCGEEEII0ZTQCUIhhBBCCCGEEEIIIZoxKhAKIYQQQgghhBBCCNGMUYFQCCGEEEIIIZoIZVU0lFXRro5rmbriWq5N6vhruXb1GkKkbpr1YjFdirGea5G6uFquVVkVbeq4BcqqaGm5PgcX7focbMff77AedePfcuhSppt8j2+YfI83czzgL2XLAX8pzRz3O6xHm36H9TBz3Ofgom3qDFtDWRXt50P+662Rn5TjprJG5hcpL6ta95iej9nYoayKzmVVWI1uKKuiR+r2bblly6roVMf1tZ5fysuq1jNK73e/OvEvWFZF7zrX6lpWhdVYg75DevTqO6THYpbrf+wSvfsfu0TedIOrxgxuuGrM4H5XjRlc8468N+XJlu9NeXLV96Y8WfMeDBs5sN2wkQOtZjz0P3aJRfofu8RydWLs3ndIjx6WK6timbIqrCY4lFWxYlkVNY2e0rpcxdory6ponZyV446pA7J1rS5lVSxdx/VMnastt3xZFVajJMqqWNl6RxqtkZocp/e73r9RO0+oQCiEEEIIIYQQTYezgfFlVSxouL8Dr9WZNwq4Px9MPzI/ITYQyN0ywJdlVdR0Py6rYnPgq7IqrI6qg4EvyqroZbhLgY/LqmhtuIeB5+rE/yZwcz7Y5+CiM/AZcHLu+h3WYxVgYr/Deuyauy2HLrUzMHHLoUutZlzrd8Dnk+/xnQ13E/BWnRifBR4xYmwFfAxcnruyKnoCXxCbt+RuA2KOtzDcAcRnY3XWvQAYV6dI+A/AaswC8Apwp3GtjsB44BzD9QEmllXxa8Ntl+K3utYeDXxepzhyJfD+z9zF+ATgZezGFdcAr9e5jyeAd8uqmKOQlgo0bwM+n5CKhu9grJWyKn5BfIdrGgMB+6cYrQYgQ4Ex2J2m7wB8nSLnSGKuOzYe7DukR3vgA+K+MQf9j12iN/G+7jS+b9sUx3mGOyrFbzVguRx4ddjIgRsZ7mHg7f7HLmF1YX4DeLfvkB5zFE3LqugCvAs8mU8oq6I/8Dp2Q5q9gNEY+wmxEdJoYif2nJuAN8qqWNVwzwDv5QXhtAe+B7xqxLg0cZ95wHCbE99VqxHJYGKOrQYmfwZeKatiK8PNE+affgghhBBCCCGE+D/hQaAj8K3hbgTM00zEIscEY/x74GrgPsN9BlwLvGC4scSOn1ax7Nk0z7rencAUYIbhriPem8WVxGJAzhTivdUUW4CP0neONtwYYvwfGO4RoFv67py/EYsLFtcAU43xH4kdaB833BfEXD1juLdTjGMN90Ka96nh7gVmAdMMdwOxa7LF1dj5mJpcTbECGJfiqCkkEQtd1xGLIDn/TPMmGu52YNzP3MX4n8R7sLrQ3g30wM7N7cQC++TGg96FmWVV3Ep89jkTgRHpmjnvEovk9xpuVPpYa+UhYH3stXkn0AYIhrsNWBrIO15PIxYWrc7B44lr+U7DvQG8SLy/nGeJ8Y803H3ErsNWV+7biTmzuorfCrQHZmbjU4h/IGJd6wNiDu823Og05wnDPUbsqPyK4e4COmHn63ZgJSDvPD8juUnGnM+J+5DVcfhN4HmMP/Ah5n4U9p79ILH7cU3Rel5RF2MhhBBCCCGEEEIIIZox+ivGQgghhBBCCCGEEEI0Y1QgFEIIIYQQQgghhBCiGaMCoRBCCCGEEEIIIYQQzRg1KRFCCCGEEEKIJkJZFf2ATYCL8yYOZVVsCnT3LtxgzNsdmOxdqPlH78uqOBR4zrswKhtvA/wGuNm78EHmOhM7717iXZiUuWWBXYALvQs/ZG4tYDXvwhVGHNsC7bwLtxtuX+AD78IT2XgL4EhghHdhjgYNqRPrUcBVr182bnxjt9pRPbsDBwAXvXzRJ3M0fNn3mpVXBLYGLrpm31fnaH5wYYtdNgSWPnrm7dfkMe57zco7A99fs++r/8jdakf1PBh4+eWLPpmjeUDfIT1aEXN8x+uXjZujQUNZFYsAhwGXeRe+zNySwJ7An7wL0zO3OrAuMMxYI1sCnbwLf8tjTJ2IP/UuPJKNNwCHA094F8Zkri2xI/F13oVPMtcVOIi4Vr/O3ArAr4hr5MfMrQes6F2wOvnOF1L32ZOBY70L72dua2BfYLB3YXLmKmAN4FDjPs4EfvQunJGNtwKGAc96F67KXCfgMmC4d+GhzC0H/AE407vwSubWIz6HI7wL4zO3CzHXQ7wLczTR6XNwcTTQC/jN2Cv+Z62sckTPBuB8IIy5+JMLGs858PpV2qUY7xu+95hbGruPvnmuG/BfwEW9Oq7zdGN3YYtdVgJOB048eubtbzd20ydP3Yy4Voa0Wbj9xGzefsAvgCFHz7x9jv3ko2+eOxlo26vjOnN0HT7w+lVapjjGDN97zBx7zSpH9FyI2DX5+jEXfzJHc6Y+BxdLEruAnzP2ijBHt+/U/fh44GjvwseZ2x4YQFwj32TuUKAEjvQuzMzcucAU78K52XgbYo4fzffz1KF5GPH9fjxzJbHT/SnehbGZ25C4nxzmXficn4BOEAohhBBCCCFE0+EAYpFgQcOdBAytM+8c4NR8MBV4/ggcbMxZGjgL2N5w6wOnAWsZbkfij9QlDHcocH5ZFa0Ndzrwe2OcFONxxnhn4Fxgb8P1Bc4gdh7N2SxdbyXD7U3M16KGOy7FYnF2+s45WO2onq2IxZbDjTk907ydDNefmOP1Dbc98dlYXasPAs4D2hnuFOK9WZxLXEM5CxLX1f6G6w2cCWxjuI2I+VjdcLsTn3U3wx1FXCMNdeKcH+xKLGpba+VQYA9gVcMdS3x35ugMnWI/CTjRmFMAFfZ6XoNUaDLcVinGHQ03kHgPGxjuaGAfYpfgnOOJ+c67h7cnFq5PMOYsSyyYHm249VMc+xluB2L81lo5mLgm+hvuGOBA4ruScxJw0kffPNcyG+8CDMHOcT9icf0ww22eYtzdcHsmt4nhjgB+Tdxzco5L1+rceDAVAU/AzvGSxL3+GMOtDewGDDLctinGXxruwDRvXcPNEyoQCiGEEEIIIUTT4XhgBe/CFMPthF2MAViH+ONxDrwL04iFgyMM9yawPPG0Ss69xFMxDxnuzynG9ww3GOidnyxMbIldDIP4o36AEeMXKcbTcvf6ZeNeJBawrje+70ag98sXffK84U4HVrhm31cnGG6PFIvFBhgFppcv+mRGiuMgI8YPiPm/0Pi+h4k5vsdwlwHLexe84Y5KbqrhfklcCxZrYhQq01pbnrj2cjcmxT/c+L7bic/6CcMNJa6RcYbbH+iTn36cz5xLLLpeZbgDiMW5Jw23NbC+dyE0Hkyxr45R8PIufEQ8EWcVyh5J32kV7F2K8XzDnQBsR8x5zu7Apt6F0YbbEFhr7BVznvAcc/En36bYf5FPGL73mNeIRbJdje/7e4rjWMP9KcVfc3qYWMzbGhhhuO2ADY6eefv7hlsLWK1Xx3XmOL05fO8xnwHrYRd8nybuNfsZ7lriO3K24U5L7kbDDUzXesFwmwHrpL3qv0knf2ef9iVzbxML7L8yvu9+4tqp2bOJe/X2xNOTOUcR/x9g7SfzRMOsWT/nOymEEEIIIYQQQgghhGhK6AShEEIIIYQQQgghhBDNGBUIhRBCCCGEEEIIIYRoxqhAKIQQQgghhBBCiP9YyqpoKKvCaphCWRUty6pYrI5rmzoPW27Bsiry5h+zXeeyKhao4xYrqyJvujHbdbOat5RV0WIu8bdOnW8t176sioXruIXLqmhfx3Wp02iIvkN6LN53SI+aWlL/Y5do6H/sEt2tOcNGDmw5bORAM8fvTXlygfemPNnZcleNGdzxqjGDrYZN9D92iU79j12ibZ0Yu6YO4jXMJcdzWyOtUtduy7VLHcktt1BZFR3quEVTIxPLLZ46uFsxdp/LGlk8H/93UIFQCCGEEEIIIZoIZVWcUFbFJ9aPyrIqriurYmSdeU+VVXGbMd6mrIoPyqo403C9yqr4oqyKPQz3i7IqviqroqaLcVkVA8uqmFBWRWG4oWVVvFdWRc2P87Iq7iqr4rE68Y8pq+KvxvjCZVWML6viKMP1Kaviy7Iqapqz9Dm42KbPwcXEPgcXK+au32E9jux3WI/x/Q7rUVM4GfCX0g34S/mKFePke/yjk+/xd+fjWw5dquWWQ5d6d8uhS51nXKtbv8N6fN7vsB77GjH273Nw8VWfg4uazrRlVQxIz6aX4c4oq+JDqwBVVsUtZVU8bcVfVsULZVXcYIy3T2uupiNvWRXLpjhqmpuUVbFpWRUTy6pY1XAHlVXxmVW4Kqvi4rIq3vyZuxgfDYwvq8JqvDEc+KysitUM9wTwZVkVc3S8TrF/BNQ01khFmi+IDUly1x/4jNiEJnd7AuOJXZVzzkzxW005bgUmlFWxvOFGAZ/nhcDU3fwzYIwRxzLABGJDkjnoO6THZsCn2J2yBwOh/7FLWB3HLwE+GzZyoNVAZwTw5XtTnrSKi28Dn1w1ZvActav+xy7RiZjjp4wY+wGfYzSkSet4PHaTld8Rc2x1db+emMea/QR4FvgiL8SmAus4oKbRUFkVPVP89xnuF8QcW42N9gUCsbFOznnAp2VVbGS4ecKsqAohhBBCCCGE+D/hNeA54HvDPQ9MrjPvOeKPypwZxB+wVtFrSpr3geE+Tdf73HDvp3lfG2400AP40XDPAeZpphTjy8b4tOTGGm4isavoJ4b7hBj/RMONTbFMM9yLwMw6MT4HfGuMzwSewY7/mxSH1fH58+TGG+6D5Kxu1q8QczKjTow9jPHZ7h1jfHr6vtcNN4mY448MF5L7wnBvp+tZnZZHAQv+zF2M3wI+Tp+c0cRuvtZ9jARaA98Z7gXsdf4t8RmNMtwE4lqoKcwBH6b4rGf0evLWWnmZ2EV7kuFeAr4iPuPG/EC8N+vdmUx8R14y3PgUh7VW3iXG/6HhXiHet7WfvAR0Ir4rOSOBdkC+Vr4jPjcrxxOJORxtuE+Ia9nqDj42OSsno4kdib8y3ChifvP95Edi/JOMOV8T93orx58R99hXDfcBMcdWx+fXkrf+PzBPqIuxEEIIIYQQQgghhBDNGP0VYyGEEEIIIYQQQgghmjEqEAohhBBCCCGEEEII0YxRgVAIIYQQQgghhBBCiGaMmpQIIYQQQgghRBMhdRBdy7tws+FWB7p6Fx403GbA196FFwy3KzDGu/B2Nt4SGAjc5134PHMdgT2AG70LUzPXHdgSuM67MDNzJdDHu1DTAbWsinWBBbwLjxtuW2Ccd2FMNt4A7Ak87V34MHNtUvx3eBe+ylwnYOcU4/TMLUlsSnFj3iijrIpVgB7ehZruouv9rtfGwPfP/P6jZ3O39vFL7Ai8+fzQj+doprLSIT1apBhHvDZs3BwNJlJn2b2Am70L32RuMWA74Frvwo+ZWx5Yxbtgda3uDyzsXXjYcFsBX3gXaho7lFUxAHjRu/BeNt4K2Ae427vwReYWAnYHrvcuTMtcT2CT5PIc9wWW9S7UdISeX6ScHQac6134NHPrEtfKacZa3wFYGfi9cR9DgBneBZeNtwBOAUZ5F+7NXAfgDOBW78LzmSuA44GLvQvvZm5lYufas7wLEzO3KbA5cLqx1vckrufzjZz8BvjMu3BDNt4aOB14LF9H6b06FbjKu/BK5pYGjgLO8y58krn+wIAU4xxrve+QHtsB/YGzXr9s3Bxrvd9hPQ4EFnjlknHDGo+vdEiPBuAkYOxrw8bd0dj1ObhoR8zxXWOvCHN09E4dpk8EhnkX3spcH+Bg4rOekLkNie/jacZa3w1YFhhqrJHDgG+8C1dn4y2B04BnvAsPZG4hYv6v9y68lLlewG+BPxn74WrEveYM70K9ZlZzRScIhRBCCCGEEKLpcDRwbVkVVrffPwFX15k3HLg4Hyyroi1wPfFHcU5vwAG/NtwWwGXEIk/OPsBfgWUMdwpwQyoy5FySrmdxLfBHY7wLcA1wuOHWAC4HdjLcDsn1N9yhxDx2NdzQFIvFX4Bh+eDaxy/RCriBWDjJWYqYq/0MtxExx1sabq90vdJwJwDXl1XRznAXA1ca4wBXEdfQHKSCxHXAb4w5/YAriIXAnG2J8a9vuEEpjp6GO4sYf0OdOOcHBwBHYK+VU4BjgHUMdyEx3qLxYIr9Uoz1APQiFnhqck0sTP8W+33cNcW4j+EOJxbftjLc79P3rWy4i4Hz0jNuHH8H4AKMPQPoSyy+nWO4LVIcRxpuYIp/N8OdQLzvDQ13PrFYtpThLgUu7XdYj5bZeDfgbOwcrwUcm74zZ4cUe2W4wcn90nCnA8cROxnnXAicS9yr/pv0Bxj/le4hZ3niurP2vE2I/x841nADiDne03C/SfM2M9w8oROEQgghhBBCCNF0OBkYXucEyJ7AgnXmbQ58lw96F6aVVbEW8LHh3iir4hfAmNwBdwMbAzWn5Yg/eh/zLrxjuCOIp7R+MNyOgFU4hFg4+Sof9C5MKKtibeDt2ik8Ryw4jDTcDcBb2PGfRTy197nh9gU61Ylxa2BGPvj80I9nrH38EmsD43P32rBx7610SI/1gNeN73uQmOPnDHc58Kx3wZp3DPBn70LN8yYWmazCIelaX+eD3oUpaY28b8x5Gdgg/TfnNuAj7ByfB9zrXahZd8RTWl3z01bzmfOBd4CbDHcocf09YbidgSW9C+MaD3oXZqVTuzPzCd6FD8qq2Bl4N3fAw8Q1Zl3rSuBb4A7DnUrMs+X2A1YDXjLcL4HO3oUpWYzfllWxNWDtM2OIp4etfeFOYrH1AcNdDIwDbjHc0cBdwAjD7Q4s//pl46x8bQG0fuWSOU8WvjZs3PiVDumxA/CJMeefxGLlM4a7nvgOW6dXzybec83pbeAgYG3sd3VHoFt+6tC7ML2sii0w9mXgTWIhdazh7iM+00cMdwUwkfju5ZyQ5txjuHmiYdasn/OdFEIIIYQQQgghhBBCNCX0V4yFEEIIIYQQQgghhGjGqEAohBBCCCGEEEIIIUQzRgVCIYQQQgghhBBC/EdTp3EOZVU0/Atn9m4oq6Jl6kZruVb1mrDUu9ZPdf8i/hZzib9V6rhsXquJxP+Tc/y/Gf//Q45bNoUczysqEAohhBBCCCFEE6GsisFlVbxidagtq+KisioerDPvrrIqrjDGW5dVMaqsipoOtWVVdC+r4u2yKrY33BplVbxbVkU/w+1UVsWbZVXUdAEuq+LEsipesH7Ul1VxZVkVt9eJ/9GyKmo6epZV0bGsitfKqjjAcMuUVfFOWRUbG26j5JYz3P5lVbxeVkVHww0tq+KxOjHeWlbF1fn4Sof0aLHSIT1eWOmQHicZc7qkXO1iuJVTjtc03Hbp2XQ33NFlVbyUuqTm7rKyKswmBWVV3F9WhdnpuqyKMWVVDDFcrxRHTaflsirWTfH3MdyeZVWMLauipuFLWRVnlFXxTL3iyPygrIpBwPSyKrY19EXA92VVrGi4EcDksioWyb6vgdjUpaZ5TlkViwJTgH8Yrl+61nmG+1WKcT/DHZfcL4wYrwWmllWxpOGeByaUsZt54+9bAPgMo8FPWRVLEJul3GC49VIcNV2Yy6rYO7maTtFlVZyb3KpGjHcDU6z9hNjE46O8yFbGrsxfYTTyKKuiBL4nNlPK3VYpjsGGOyI5qwvwFcA0az8hNpyZmO8nqWg4DnjNuFY3YsOgmv0w7QfTy6o4y3C7JbeH4U5Lbi0jxnlCXYyFEEIIIYQQounwDTAJoztqGp9UZ97kOm5WclMMNyPNmWq479O86Yb7Lrmajr5pfHK6bs4k7Pua7ayOqjPT+LeG+yHNm2a4adSP/6fmeFKdOGY7K/655Xh6mvO94b5L86wcT0nz6sVfU/hM1Fsjs3P8jeF+SK5ejidh5/jbNO9Hw02qE8f8ZGr6WB1lp6SPdR+zc2bdx1fYz+dH6ud6OjHPNd2kU2zfYa+xb9K4tVZmv99W5/BJKc58rcxM41aMP/A/ayzn+xSHtVZm59fK8dfpUy/Hc9tPplO7n8xes1aM0/mfZ5ozLcVZL8dTsdf6ZGL89XI8idocz6J+jmcw9xx/gx3/7Pxa+8nXxPuycjxPqIuxEEIIIYQQQgghhBDNGP0VYyGEEEIIIYQQQgghmjEqEAohhBBCCCGEEEII0YxRgVAIIYQQQgghhBBCiGaMmpQIIYQQQgghRBOhrIrFgRW9CzWddMuqWBbo5F2wOo+uBkz1LrxpuA2Bt70L47PxBmBr4GnvwpTMtQG2Ah7wLvyQuUWAdYAHvQuzMtcTWMq78JQRRx+gjXdhjOHWAiZ4F9433GbAK96FCdl4C2Bb4FHvwtTMtQc2Be73LvyYuS7AKt4FqwPq0sBi3oXnDdcP+MG7MNZw6wMfehc+ycYbgC2B570LkzLXmpj/Ed6F7zO3ELA+Mf95jrsDy3sXnjTiWAHo4F142XBrApO8C+8YbmNgrHfhs2y8RYrxSe/CN5lrC2yeYpyRuc7Amt6FEca1egE9vAvP5m5+UVZFD+DXwF+M59AX2AK41FjrGwLLAVcZz2EnYKZ34a5svAE4kJjPpzPXBjiUmLOxmesMDAKuM97VpYFdgMu8C99mbg3i+3i5sda3ALp6F240crInMNG78GA23gIYDLyQ7zXpvToEuMO78F7mFgf2BYZ7F77MXAlsAwwz1vp6QF/gr0aOtyfuGbdn4w3AfsB73oUnMtc6xfiod+HVzC0MHATcZLyrvYABwBXGfrgKsFGKP1/rmwI9vQvXkpG6Dk/1LvwjG29IcYzxLjyXubbENXKPd+GtzHUF9geu9i58nrnlgB1SjFajmH+JThAKIYQQQgghRNPhVODB9EM2Zzhwb515fweuywfTj80RwLnGnL7A3UBluO2BO4hFwpwhwD3A8oY7D3go/UjPuRG43RgHuB+4Ih9MP4gfAE4w5qxLvO+9DLdHcusZ7gTggbIqFjPc5SkWi9uBm4wYWwEPARcYc5YlPrNDDbclMcfbG24Q8dmsZLjfE3Pc3nDXAncZ4xCf2ZX5YCpGjgBOM+asnr5vX8PtTMzxJoY7CvhHKrrkXAyMSEWSn4vDgaHYa+V84EJgQ8NdTXzvejQeTLHfgb2elwJcmpuzKfAn4A+GG5hiHGK4k4jv1g6GuyR9VjPcTcAN6Rk3jr8D8X282ZizCnApcJnhtk9xnGK4wSl+a62cQ7zvzQ13JfAX4ruScxtwW1kVLbPxbmlezZ5HLKxfhP0+7gH8kbg+c45JblfDXQT8GVjbcNcB16S96r9JxeBb0ienJO41znBbE9fkmYbbn5jjAw13epq3reHmCZ0gFEIIIYQQQoimw9nAXd6FyYY7COhcZ95uwLf5oHdhWlkV2wE1JwuB14mnkmpOohGLWgOIhaOcy4FXgbcNdzzxBM4PhhsItDGjj4WHz/NB78KEdIroJWPOc8T7fshwfwO+Ap4x3B+Bh/MTOIlDiMUHiwHAdCPGGWVVbAu8VzuFd4Gd6sTxUPrO+ww3HHgHeM1wpwA35KcmE/sDHc3oYUdgUj7oXZiS1oh1rZeIBZNHDfd34Dug5rQrsQj4PPCx4Y4GlshPi81nLgGmYBfEjgceAf5puAOJhfBxjQe9C7PKqtgdmGnM+YBY5Ks5aUrM1XHYz/x6oANwjeH+QFxLdxvuCGIhvObUKPGd65qfiPMufFtWxT7Al8acV4Ajic8v5x/AicTCXc5fgB+IReqck4FniXnOqYCVifeXswfQOj8ZCXxK3A+tOc8Qi30PG+5vxD30BsP9CRiPXfT9LbAx8ILh9iOu5zlOOHsXppdVsRfGvkzcjw8DRhvuQeKatJ711cQ6Xk2hHziLuC/X+wOOf0nDrFk/5zsphBBCCCGEEEIIIYRoSuivGAshhBBCCCGEEEII0YxRgVAIIYQQQgghhBBCiGaMCoRCCCGEEEIIIYQQQjRj1KRECCGEEEIIIZoIZVXsARwMbOVdmJ65U4A+3oWaTqxlVVwJjPcu/C4bb0nsAnyjd+GqzHUhdrY9ybvwWOZWJDZL+LV34a3MbQGcAWznXfgqcwcTm2Fs512Ymbk/Agt7Fw424r8VGOldGJqNt0vxX+xduD1zPYmdZA/zLryQuf7ETqy7eBc+ztzOxC6mW3kXvsvcscDa3oWaTqZlVVwOfONdOCYbb0Fs6nK3d+HyzC1CbEhxhnfhwcytQGyWsJ934fXMbUzsPL29d+GLzO0H7A1s7V2YkbmzgR7ehf2N+G8A3vQunJmNtyHm+K/ehRsz1w24E/itd+HpzK1C7MK6h3fhvcxtR+y8u7V34evMHQFsAfzq52pUUlbFgBTr9t6FJzJ3GrHRx1rehXczdzOwDrCSd+GbRuMNwEhghndh7WzOwsRmEY97F/bJ3ArE5jrnexfOydxmxMYv+3kX7sjcwcTutZt5F0Zl7kJgT2A178L4zN1H7A68cuP9JHUZfwX4yLuwVTZncWAMcKt34fDMrUZstHKid+GyzO1IbFCyq3dhROaOI3YPX8+74DN3NbBZinFS5p4G2gOrN14rqQvza8Q9Y7dsztLAi8Aw78KpmduA+K4OMdb6PsB/Edfss5n7A7FhzRrehY8y93egH3GNfNdovAWxCclX3oWNsjmLEvP/D+/CQZnrCzwFnOlduDBz2xAbrezlXbg3c0cSOxlv5F14hZ+ACoRCCCGEEEII0XToAiwGtDTc4slZLAZYxZYWyXUxXJvkFjJcB6Ar8cd5zsJpXmvDdU1xNhiuW51rkb7PureWadzq3tw2Xc/q2tsxzWtruE7JWb+HF08fi8WJeclpSK6r4VpTP8ft0hzrOxdK86yuz7PXiPU3AucW/2IYXYyJOV4cWNRwC6R5CxquA/VzvAj1c7zYXGKcXyxCvAfrProS15d1H7Njte6jGzDDGG9F/XtsR1x/1lqZHd8ihutMfO+stTJ77S1QJ8Zu1K6VFmm8pis3cc3NXmM57VMc1n6yEHPPcSfi/efMfvet/aR7umYDc+5vrai/H7YlrmUrxx1TnJ0Mt2hy1n7SNXkrx7PfuXzPbpHit+a04X/2ypz2xDVgxT87x9Z+0iXNs/bseUJdjIUQQgghhBBCCPEfTVkVbb0L04zxBmCBOq4F0Nq78L3hWgOz8lOcyS0A/JCfop0dB/C9dXqyXoz/D/G3BFrmp5GTawP86F348f84xrnluBXQ4F34oU78M5p4jn/yGvl3Y/xXbl5QgVAIIYQQQgghhBBCiGaMmpQIIYQQQgghhBBCCNGMUYFQCCGEEEIIIYQQQohmjJqUCCGEEEIIIUQToayKBYElvQuvGW4xYMG802pySxH/za3xhlsRGOddmGy41YHX83//K/27YGsSu4Tm3YjbErspv2x8Xyegm3dhrOEK4r819qHhlgMmexcmGK4f8F7jLrJpvCHFODr/N8rSv122Wop/VuY6AMtanT5TZ+dO3oW3DdeL+G+2jTNcCXyWd3VObjXAGx2TZ+d4VP7vwKV/n6yvd+El4/sWJnYqfsNw3YB23oX3DbcssQvzZ4ZbCfjQ6DjcAKwOvGp01W6ZnJXj9sAK3oXRxrUWBbp4F97M3fwircvtiZ158+fQC1gPuMVY6ysDvbwL/zC+cwNgZt7dOblfAu8b3albArsD//QufJK5DsAuxG7YkzK3GLBlijF/DssBqwB3GM9hDeJ6ftiIcTNginfhxWy8AdiJ+MzfzlxrYADwUL6O0rrcAbjdu/Bt5noAGwF/M9b6isBy3oW7jRjXA1p5F5403DbEfe2VbLwFsBvwXL7XpK7ouxK7B0/MXBdgG+IamZa5pYH+yeU5XhVYPO9SntzGwDTvwnOG24HYVTzv6tyKmOPHvAshcwsSn82d3oUpmesObErMsdU851+iE4RCCCGEEEII0XQ4BxiVfmzn3AI8VWfeY8Df88FUzBsFXGi4FYHngUOM79sBeBrY2nBHAi+kwkTOJcDIVEjIuQd4qE78zwLXGTF2BUYCpxlz1gGeAQYabu/k1jPcaSlGq0vodSkWi4eAe40YWxFzPMxwywAvAEcZ37cVMcc7GG4I8HxZFX0NdwHwUirC5dwBPG6Hz5PENZTHuBAx/nONOasBzwEHGm43Yo43NdxxwItlVSxhOJec1el6fnEccA2wn+EuB24CNjbcncC9qcD136TYn8DIdSrW30N8FjmbAzcS35OcA1OMRxvubOLa3MVw1wG3EYu1OQ8AD6Vn3DjGDsDDyef0A24HbjDcTul65xjuyBT/QYa7OH3fVoa7HbgrFbBzHgWeSIXVxvF3A+4DaoqKwAbAzcR1ljMQuBY40XCnJLen4YYDfwPWNdy9wAP5fpKaqDxGzDOZK4lrq+Z9BLYFrie+5zmDiTm29uw/pnm/Mtw8oROEQgghhBBCCNF0+DPwvHXaDzgWWKzOvMHAlHzQuzCtrIr9gdHGnLeIPzTvMdzDwBHEIkjO9cCXQM0pNWLh4E6r6yixgNDWCp5YHPnEGP8CGAT803AvAYcBdxnu7nStkYa7DHg9fXfO7wCrqAUxVzWdSr0LM8qq2A+oOdEHfEB8NlYh5klijmsKCMQCx7eAdcruPOAR78JUw/0WsIrLEAs3NSc0vQtTyqo4kFgsznkVOBSj+AzcDxxOLBLmXAl8BNSctgROB663OszOR64m5sVaK+cQ3wXr/o8nFszmOJnrXZhVVsWRQE0HYOBj4PfEomvO08Ri2c2GuwMoie9XzqXAD8AIw51KLLy9arjfAj2AOU6Gehe+LaviROBTY85Y4HzsdflwimW44W4AuhGLlTnnEdeC9R4fD6xNfFdyjgbaGJ2WPwPOwH7nXgQuwl6zdwOrEtdnzl+INbKa06LAWcQ9tOZEL3AMsALZfuJdmF5WxW+Bb4w57wBDsfPxBLGAfK3hbgWWIRYrcy4CJhGLqj8JdTEWQgghhBBCCCGEEKIZo79iLIQQQgghhBBCCCFEM0YFQiGEEEIIIYQQQgghmjEqEAohhBBCCCGEEEII0YxRkxIhhBBCCCGEaCKUVbENsdPmPt6FGZkbDKzgXfiNMe9c4FPvwp+z8RbEBg13eBfuzNzCyZ3jXXgxc8sQ/9H7w70LH2ZuXWLDlH28C99kbjdiF84D8iYUZVUcCyzoXTjViP9iYLR34cpsvA2xa+pfvQsPZW4xYqfS33kXXstcX2LziYO8C59lbnOgAgZ6F6Znbn9gde/C4UaMZwDfehf+mI03EJs2POBduCVzHVL8F3gXns5cL2IzgqO9C+9mrj9wErBf3rCmrIodgF2Bfb0LMzN3BFB4F04w4r8AeMe7cFk23orYEOF678J9metMbOhwhnfh5cytQGw+McS7EDK3IbEBy0DvwneZ2xvY0LtgdbudL6T36lJggLHWDyM2u9ncu/BJ5i4mdsveqPF9pGd+LzDDu7BDNqcDsdHEk/m7WlbFksRGIxd6Fy7P3DrEDseDvQsjMjeA2PjkV96FNzL3O2APYBPvwheZu5rY1GLTxvtJ6gr8CPCxd2FgNqczsTvzbd6FMzNXpvs+xbtwU+Y2Jzb6GGis9YrYzGNr78L7mfsjsBkxx/l+8negHbBN4/0kdWd/AnjRu3BYNqdI93aFd+GizK1B7Bx8pHfh3sztSOwcvLN3YUzmjgEOIObx08z9BVgJ2LjxfpL23geBr7wLu2dzFibm+H7vwkmZW5bY1Ogc78JVmduQuGcf4F14PHP7EDsxb+ddeIufgE4QCiGEEEIIIUTTYTXij+UFDLcRsGmdeZsCmxjjrdP39TfcImnO8obrAWwMdDdc7zRvIcOtna7X0nAbUz/+zYENjfF2aU4/w3VJcSxluKWS62K4fuk72xtugxSLxSbEe8hpQbzndQy3UJqzguG6J9fDcMul6y1iuP7pem0MtzH1c7wJcQ3lLJDmrGa4zmneMobrlVw3w62YXEfDrQtsnopsPxd9gaXTJ2ct4pq2OoSvC6wJdDDc+sAvjPGOwBrY66EbcS2sabhlU3x9DLdq8laH7XWIBarOhlsv+XyttCHe23rGnE7Aysnn9ExxrG64khj/soZbk3jf1lpZN33fgoZbj5jnvHbVnvgeWPEvlmKx9ryliGt5JcP1S24pw61NfC6LGm5d4hpql423bBR/zkLEZ2qtkR7E938Nwy1PzLG1n6ye5hWGmzdmzZqljz766KOPPvroo48++uijTxP59B7UveHfdb0HdW+Ym/vfvNZ/coz/f4///w8x/is3Pz4pL0vUca16D+revY5r33tQ9y513MK9B3VfuI7r2ntQ93Z1XNF7UPdW9WK0ctN7UPcWvQd171nn+9r0HtS9Wx3Xsfeg7p3ruM69B3XvWMct3ntQ9wXquB69B3Vv8W/G36r3oO5Fne9r23tQ96513EK9B3VfpI7r0ntQ9/Z1XPfeg7q3ruN6/oQct57LGunQe1D3Reu4Tr0HdV+wjlus96DubeeS45b/Zo5b9h7UvYf1ffP6aZg1a9a/riIKIYQQQgghhBBCCCH+I9FfMRZCCCGEEEIIIYQQohmjAqEQQgghhBBCCCGEEM0YdTEWQgghhBBCiCZC6trbJe8Km1xHoG3eqTS5zsAP3oWvDdeN2Enze8MtAYwzuuE2AL3yDsbJtQS65x1fk2sLLJx3Dk5uIaCld+Erw3UFpnoXvjVcAUzwLvxguF7ETqx5x+QGYAnvwkfGnNbAYt6FcYZrD3TwLkwwXCfgR+/CFMMtDkz2LkwzXE9gvHfhR8MtCXxkxN8C6OFd+NiYswDQKe+mmtyCQGvvwkTDLQp8n3eKTa478GXe1Tm5ua2RejluBSxeJ8ftiN2sP8/d/CJdc0PgEaM7+KLEBhWPG89hSeJamaPzcXJ9gZnehbGGWxsI+fNLOduE2LF7YuZaE5vFPJGvo/Rc10nx58+hG7Ccd+EpI45libkebbhVgW+8C+8Ybn3gXaNj7+yGPM/n70F69zcCHs3f1fTurAY8ZuS4J9DTu/CcEUcJtMq7lCe3JnFfyLusN6Q4XjO6Orci5vgp78LUzHUgNhR5JH9X0/60onfhCSOOpYHO3oVRhlsZmO5deNNw6xLf/XHZeAMxxyO9C5My14a4fh7P9/PUGbl/iv8n/VuCOkEohBBCCCGEEE2HPwDvpGJazh3Ay3XmPQ/cnw+mH+1vAxcbrjfwLnCI8X3bpTi2MNyRwLvph3HO5cDbqdiR8xDwdJ34XwX+ZsTYJcV4huHWTG5v4/v2SjGuZbjTifdmdTi+OcVi8RTwsBFHK+At4C+GWyrFeLThNgfeAX5pXGtIir+34S5K8VtdmP8BvFAn/peAO404Fkox/tFw/YD3gAOM79s5xWh1nz4eeK+sCqtD89XAmz9zF+OTgAeA/Q13FfAosYN1zgjghVRA/W9S7KMx3sdUUH0OeND4vk2BRzDWClClGI813NAUyy6GuwX4Z1kVqxjuKeDlVGBsHGOHFPszRvx907w7jO/bMcVxvuF+k+IfbLjLifdt7Sf3A8+mdyVnFDA6/aFE4xgXB15M35mzHvAYcI3h9iE+l1MMd2ZyexnuBuDxOvvJY8DIVGhuHGMbYAzG+1hWxXLE3N9jfN82xL3yvwx3KDHHhxvuojRve8PNEzpBKIQQQgghhBBNh2uBANScBATOA6yCC8SiV83JPOB74o9hqzD3AXAWcJ/hngPOAUYa7h6gPVBzgpBYCBhlnfYDzgY6GOMAJxMLUTkTgdMwip/A2PSdjxruMeD3wBuGuwmYkr4750Jg2Toxngl8lw96F2aUVfE7YjEjZ1yad7fhRhFz/Kzh7gM6E59RznBiQbImFuBcYFFjHGIea06mEtfaqdjFlreJa2SE4Z4i5ni04e4AZgE1pxyBSzBO681n7gRWwV4rVwDTgVcMdxGwJjDHiVLvwqyyKi4AZhhzPiUWp6x37mXg78BfDfcQ8d2yikY3Et/9moIecClxndWcBAT+BCwF5KdGpxKfQ80JT+J7eBNwr+GeJa7l6w13L/GUo7VWhgOtiUXqnIuIpzuttXk+0M44ffsFMYdjjDmvAbcR99Kcx4jx3264W4HlgCcNdxkwibjn5FwE9KF2//2BuJ9MNuZ8TMyh9c6NJK6Rqw33IHF9WPvhtcAixD8s+kmoi7EQQgghhBBCCCGEEM0Y/RVjIYQQQgghhBBCCCGaMSoQCiGEEEIIIYQQQgjRjFGBUAghhBBCCCGEEEKIZoyalAghhBBCCCFEE6GsivWJnUKP9y7MzNyuwFLehZoOomVVHAlM8C7cmI03EBthjPAuPJa59sTOtcO8C29kriA2rjjNu/BZ5voRO64e612YlrnNgY2BU/ImFGVV7At09C5casR/AuC9C3dm461SjH/zLjyfuUWITTnO8y68l7lliN1gT/QuTMrc2sAA4DjvwozM7QCs6F0414hxCPCdd+HqbLyB2IjkSe/CQ5lbgNhcZrh3YUzmFkvzzvIujMvcisTu0sd5F6ZmbmNg63RveY73BBb3LlxkxH8M8JF34ZZsvAWxS+5d3oWnMrcgsbP2n70Lb2WuF3AicLJ34cvMrQ7sS1wj0zO3DbCWd6GmM/X8oqyKDYjraJB34fXM7QUcDOzmXfg8cycDawG7GvfxV2CGd2FwNt6W2CTjn96FoZnrRuw6fInxHPoRG6b81rvwTOa2Ir6PA421fjCwa4pxcuaGEpuU7Nl4P0nP/AbgE+/CsdmcBYlNPO70LgzL3FJp3tnehfsztw6xKccQ78LozO1C7H4+wLswPnPHApsAu3gXvsvcMKAdcEDjtZ66pN9KbIh0VjanS3LDvQvXZ64PsWHKid6FJzK3KbHp0X7GWt8fGEjM8cTMnQmsBOzeeD9J+8I1wCTvwhHZnPbEHD+Yv6tlVfQkdlM/39gP1yA2lzncuzAyc9sTu4fv5V34iJ+AThAKIYQQQgghRNPhl8RihdXtdz9gsDEOcBBwoDG+QJqzk+G6A4OA9Q23EnAAsTtnzgbpWosbbrd0PeswyoHEwqLFIcA+xvhCac42hlsqxbim4VZPbhnDbZW+c2HDDQSG1InxIGK+clqmOQMMt1ias6HhyhTjSoZbL80rDLcTMcdtDXdgitPiYGLRLqdDctsbbon0nesYbpXkVjDcpsQcWx2V9wIOSQWUn4tNiPdgrZVdiM/H6l69BzEvnRoPpgLbr4G9jTmLAtsBexpuBeL7s6Ph1k4xWmtlW+Ka6Ge43YHNgZ6G2yv59tl4W+J63cuY0wPYIs3LWTnF8UvDbUCMf23D7ZR8abg9iO93F8P9On3y2tUiwA7Y8S9D/EOKXQy3JrAucX3mbJnc6obblbiGljTcXsT7Wygbb52cFePixCL/HobrQ9yTf2W4dYk5tvbs7dP4ioabJ1QgFEIIIYQQQoimw++AwrvwteF2Iv5At1iD+INzDtIJvyWAowz3LtAV+KvhRgCLehceN641jHhK7UPDHQIs6V34wXCbYxeaIBYOagoS6bROd6DmtFk6pdQlP4mV3G3JvWRc6yxijr803B7YRQyoU1hIp4aWJBbZcvcxsRhwieGeJOb4QeNaw4Gu3oV3DHc00DM/bZXYBrvAAbG4tKMRx9fEQuSJhnsjxXGt4e5J8T9rXOsC4hoZb7j9gKXz04/zmXOB/sB1htsHWKXOfWwM9M5P0abTeCtgrJV0GrQENjPck8Cq2IXm4SnGmhPCwHHEd/wuw+0MrJSfjEz0B5b1LnyTxTGVWBBdw4jRA32JBbice9Oc3xruwnQ9Z7iDgFXzU8yJLYAyvSs5fYHlvAs/ZjFOIOa/ppjqXXiBuNYHGt93PbFIeLbhTk3ub4bbA1jZu/Cy4dYDls9PFqYTp8tiFHW9C+8TC4E1f/CRTiGvBhxqXOsyYo5r9hPgCOK7b+0n80TDrFk/5zsphBBCCCGEEEIIIYRoSugEoRBCCCGEEEIIIYQQzRgVCIUQQgghhBBCCCGEaMaoQCiEEEIIIYQQTYSyKhrKqmhXx7VMXXEt1yZ1/LVcu3oNIVI3zXqxmC7FWM+1SF1cLdeqrIo2ddwCZVW0rOPmR/z/2zlumxpXmHH8jPE3pRz/22tkfpHysqp1j+n5mI0dyqronDpiW65H6vZtuWXLquhUx/W1nl/Ky6rWM0prr1+d+Bcsq6J3nWt1LavCaqxBWRW9Uidty/UuqyJvujH7ufaz3pH07qxqvQdpfVnNeCirYpGyKpar47qXVdGjjlumrAqrCQ5lVaxYVkVNo6cU/yrWe1xWRevkrBx3TB2QrWt1Kati6TquZ+pcbbnly6qwGiVRVsXK1jvSaI1YOV6grIp6/0btPKECoRBCCCGEEEI0Hc4GxpdVsaDh/g68VmfeKOD+fDD9yPyE2EAgd8sAX5ZVUdP9uKyKzYGvyqqwOqoOBr4oq6KX4S4FPi6rorXhHgaeqxP/m8DNRhydgc+Akw23CjCxrIpdDbdzcqsZ1/od8Hn67pybgLfqxPgs8IhxrVbAx8DlhusJfEFs3pK7DYg53sJwBxCfjdVZ9wJgXJ0i4T8AqzELwCvAnca1OgLjgXMM14eYx18bbrsUv9W19mhijq3iyJXA+/UKkvOJE4CXsRtXXAO8Xuc+ngDezQtpqUDzNuDzCalo+A72WvkF8R2uaQwE7J9itBqADAXGYHeavgPwdYqcI4m57pjF0R74gLhv5DH2Jt7Xncb3bZviOM9wR6X4rQYslwOvllWxkeEeBt5O70rOG8T8z1E0LauiC/Au8KQRf3/gdeyGNHsBozH2E2IjpNHETuw5NwFvlFWxquGeAd7LC8JpD3wPeNWIcWniPvOA4TYnvqtWI5LBxBxbDUz+DLxSVsVWhpsnzD/9EEIIIYQQQgjxf8KDQEfgW8PdCJinmYhFjgnG+PfA1cB9hvsMuBZ4wXBjiR0/rWLZs2medb07gSnADMNdR7w3iyuJxYCcKcR7qym2AB+l7xxtuDHE+D8w3CNAt/TdOX8jFhcsrgGmGuM/EjvQPm64L4i5esZwb6cYxxruhTTvU8PdC8wCphnuBmLXZIursfMxNbmaYgUwLsVRU0giFrquIxZBcv6Z5k003O3AuJ+5i/E/ifdgdaG9G+iBnZvbiQX2yY0HvQszy6q4lfjscyYCI9I1c94lFsnvNdyo9LHWykPA+thr806gDRAMdxuwNJB3vJ5GLCxanYPHE9fynYZ7A3iReH85zxLjH2m4+4hdh62u3LcTc2Z1Fb8VaA/MzManEP9AxLrWB8Qc3m240WnOE4Z7jNhR+RXD3QV0ws7X7cBKQN55fkZyk4w5nxP3Iavj8JvA8xh/4EPM/SjsPftBYvfjmqL1vKIuxkIIIYQQQgghhBBCNGP0V4yFEEIIIYQQQgghhGjGqEAohBBCCCGEEEIIIUQzRgVCIYQQQgghhBBCCCGaMWpSIoQQQgghhBBNhLIq+gGbABfnTRzKqtgU6O5duMGYtzsw2btQ84/el1VxKPCcd2FUNt4G+A1ws3fhg8x1JnbevcS7MClzywK7ABd6F37I3FrAat6FK4w4tgXaeRduN9y+wAfehSey8RbAkcAI78LrmWtP7Jx6lXdhfOa6AwcAF3kXvs3cisDWyc3M3IbA0t6Fa4wYdwa+9y78w3AHAy97F17IxlsRc3yHd+GdzC0CHAZc5l34MnNLAnsCf/IuTM/c6sC6wDBjjWwJdPIu/M2I8dfAp96FR7LxBuBw4AnvwpjMtSV2JL7Ou/BJ5roCBxHX6teZWwH4FXGN/Ji59YAVvQtWJ9/5Quo+ezJwrHfh/cxtDewLDPYuTM5cBawBHGrcx5nAj96FM7LxVsAw4FnvwlWZ6wRcBgz3LjyUueWAPwBnehdeydx6xOdwhLHWdyHmeoh3YWrmjgZ6Ab9pvFbSMz8fCN6FC7I57VKM93kXbslcN+C/iO/O05lbCTgdONG78HbmNiOulSHehYmZ2w/4RXL5fnIy0Na7cHI23jLFMSbfa8qqWIjYNfl678J9mVuS2AX8HO/CS5nrDxwPHO1d+Dhz2wMDiGvkm8wdCpTAkcZ+ci4wxbtwbjbehpjjR/P9PHVoHkZ8vx/PXEnsdH+Kd2Fs5jYk7ieHeRc+5yegE4RCCCGEEEII0XQ4gFgkWNBwJwFD68w7Bzg1H0wFnj8CBxtzlgbOArY33PrAacBahtuR+CN1CcMdCpxfVkVrw50O/N4YJ8V4nDHeGTgX2NtwfYEziJ1HczZL11vJcHsT87Wo4Y5LsVicnb5zDlJB6HxikS2nZ5q3k+H6E3O8vuG2Jz4bq2v1QcB5QDvDnUK8N4tziWsoZ0HiutrfcL2BM4FtDLcRMR+rG2534rPuZrijiGukoU6c84NdiUVta60cCuwBrGq4Y4nvzhydoVPsJwEnGnMKoMJez2uQCk2G2yrFuKPhBhLvYQPDHQ3sQ+wSnHM8Md959/D2xML1CcacZYkF06MNt36KYz/D7UCM31orBxPXRH/DHQMcSHxXck4CTkoFwcZ0AYZg57gfsbh+mOE2TzHubrg9k9vEcEcAvybuOTnHpWt1bjyYioAnYOd4SeJef4zh1gZ2AwYZbtsU4y8Nd2Cat67h5gkVCIUQQgghhBCi6XA8sIJ3YYrhdsIuxgCsQ/zxOAfehWnEwsERhnsTWJ54WiXnXuKpmIcM9+cU43uGGwz0zk8CJbbELoZB/FE/wIjxixTjaYZ7kVjAut74vhtTHM8b7vQU/wTD7ZFisdgAo8DkXZiR4jjIcB8Q83+h8X0PE3N8j+EuA5b3LnjDHZXcVMP9krgWLNbEKFSmtbY8ce3lbkyKf7jxfbcTc/yE4YYSczzOcPsDffLTj/OZc4lF16sMdwCxOPek4bYG1vcuhMaDKfbVMQpe3oWPiCfirELZI+k7rYK9SzGeb7gTgO2IOc/ZHdjUuzDacBsCa+UnPNOp2v4pzjz+14hFsl2N7/t7iuNYw/0pxV9zephYzNsaGGG47YAN8pOdidknkuc4veld+AxYD7vg+zRxr9nPcNcS35GzDXdacjcabmC61guG2wxYJ+1VjWOcTlwjNQW7dMJyI+LJz5z7iWunZs8m7tXbE09P5hxF/H+AtZ/MEw2zZv2c76QQQgghhBBCCCGEEKIpoROEQgghhBBCCCGEEEI0Y1QgFEIIIYQQQgghhBCiGaMCoRBCCCGEEEIIIf5jKauiIXXgtVzLsioWq+Paps7DlluwrIq8+cds17msigXquMWMphuzXTereUtZFS3mEn/r1PnWcu3Lqli4jls4dQK3XJc6jYYoq2Lx1F08H29I3cOtOXPL8QKpa7rlOpZVYTVsoqyKTqkJk+W6puZBlquX47mtkVapa7fl2qWO5JZbqKyKDnXcoqmRieXmmuO5rJHF8/F/BxUIhRBCCCGEEKKJUFbFCWVVfGL9qCyr4rqyKkbWmfdUWRW3GeNtyqr4oKyKMw3Xq6yKL8qq2MNwvyir4quyKmq6GJdVMbCsigllVRSGG1pWxXvWj/OyKu4qq+KxOvGPKavir8b4wmVVjC+r4ijD9Smr4suyKmqas5RVsU1ZFRPLqljRcEem76wpnJRV4cqqeKVOjI+WVXG3Md6yrIp3y6o4z3Ddyqr4vKyKfQ3XP+W4pjNtWRUD0rPpZbgzyqr40CpAlVVxS1kVT9eJ/4WyKm4wxtunNVfTkbesimVTHDXNTcqq2DTleFXDHVRWxWdW4aqsiovLqnjTKnLMR44GxpdVYTXeGA58VlbFaoZ7AviyrIo5Ol6n2D8CahprpCLNF8SGJLnrD3xGbEKTuz2B8cSuyjlnpvitphy3AhPKqljecKOAz/NCYCqsfQaMMeJYBphAbEiSu82AT7E7ZQ8GQlkVVsfxS4g5throjCDm2Couvg18khfLyli0/QJ4yoixH/A5RkOatI7HYzdZ+R0xx1ZX9+uJeazZT4BngS/y/aSMBdZxQE2jobIqeqb47zPcL4g5thob7QsEYmOdnPOAT8uq2Mhw84RZURVCCCGEEEII8X/Ca8BzwPeGex6YXGfec8QflTkziD9graLXlDTvA8N9mq73ueHeT/O+NtxooAfwo+GeA8zTTCnGl43xacmNNdxEYlfRTwz3CTH+iYYbm2KZZrgXgZl1YnwO+NYYnwk8gx3/NykOq+Pz58mNN9wHyVndrF8h5mRGnRh7GOOz3TvG+PT0fa8bbhIxxx8ZLiT3heHeTtezOi2PAhb8mbsYvwV8nD45o4ndfK37GAm0Br4z3AvY6/xb4jMaZbgJxLVQU5gDPkzxWc/o9eSttfIysYv2JMO9BHxFfMaN+YF4b9a7M5n4jrxkuPEpDmutvEuM/0PDvUK8b2s/eQnoRHxXckYC7YB8rXxHfG5WjicSczjacJ8Q17LVHXxsclZORhM7En9luFHE/Ob7yY/E+CcZc74m7vVWjj8j7rGvGu4DYo6tjs+vJW/9f2CeUBdjIYQQQgghhBBCCCGaMforxkIIIYQQQgghhBBCNGNUIBRCCCGEEEIIIYQQohmjAqEQQgghhBBCCCGEEM0YNSkRQgghhBBCiCZC6iC6lnfhZsOtDnT1LjxouM2Ar70LLxhuV2CMd+HtbLwlMBC4z7vweeY6AnsAN3oXpmauO7AlcJ13YWbmSqCPd8HqgLousIB34XHDbQuM8y6MycYbgD2Bp70LH2auTYr/Du/CV5nrBOycYpyeuSWJTSluzBtllFWxCtDDu2B1F90Y+N678KzhdgTe9C6MzcZbpBhHeBfGZ649sBdws3fhm8wtBmwHXOtd+DFzywOreBesrtX9gYW9Cw8bbivgC+9CTWOHsioGAC96F97LxlsB+wB3exe+yNxCwO7A9d6FaZnrCWySXJ7jvsCy3oWajtDzi5Szw4BzvQufZm5d4lo5zVjrOwArA7837mMIMMO74LLxFsApwCjvwr2Z6wCcAdzqXXg+cwVwPHCxd+HdzK1M7Fx7lndhYuY2BTYHTjfW+p7E9Xy+kZPfAJ95F27IxlsDpwOP5esovVenAld5F17J3NLAUcB53oVPMtcfGJBizNf6dkD/dG/5Wj+QuGcMy8YbgJOAsd6FOzLXjpjju7wLT2duceBEYJh34a3M9QEOJj7rCZnbkPg+nmas9d2AZYGhxho5DPjGu3B1Nt4SOA14xrvwQOYWIub/eu/CS5nrBfwW+JOxH65G3GvO8C7Ua2Y1V3SCUAghhBBCCCGaDkcD15ZVYXX7/RNwdZ15w4GL88GyKtoC1xN/FOf0Bhzwa8NtAVxGLPLk7AP8FVjGcKcAN6QiQ84l6XoW1wJ/NMa7ANcAhxtuDeByYCfD7ZBcf8MdSsxjV8MNTbFY/AUYlg+mItoNxMJJzlLEXO1nuI2IOd7ScHul65WGOwG4PhVCci4GrjTGAa4irqE5SAWJ64DfGHP6AVcQC4E52xLjX99wg1IcPQ13FjH+hjpxzg8OAI7AXiunAMcA6xjuQmK8RePBFPulGOsB6EUs8NTkmliY/i32+7hrinEfwx1OLL5tZbjfp+9b2XAXA+elZ9w4/g7ABRh7BtCXWHw7x3BbpDiONNzAFP9uhjuBeN8bGu58YrFsKcNdClyaCmqN6QacjZ3jtYBj03fm7JBirww3OLlfGu504DhiJ+OcC4FziXvVf5P+AOO/0j3kLE9cd9aetwnx/wPHGm4AMcd7Gu43ad5mhpsndIJQCCGEEEIIIZoOJwPD65wA2RNYsM68zYHv8kHvwrSyKtYCPjbcG2VV/AIYkzvgbmBjoOa0HPFH72PehXcMdwTxlNYPhtsRsAqHEAsnX+WD3oUJZVWsDbxdO4XniAWHkYa7AXgLO/6ziKf2PjfcvkCnOjFuDcwwYpyRYhxvuPfKqlgPeN34vgeJOX7OcJcDz3oXrHnHAH/2LtQ8b2KRySockq71tRHjlLRG3jfmvAxskP6bcxvwEXaOzwPu9S7UrDviKa2u+Wmr+cz5wDvATYY7lLj+njDczsCS3oVxjQe9C7PSqd2Z+QTvwgdlVewMvJs74GHiGrOudSXwLXCH4U4l5tly+wGrAS8Z7pdAZ+/ClCzGb8uq2Bqw9pkxxNPD1r5wJ7HY+oDhLgbGAbcY7mjgLmCE4XYHls9PTSa2AFrnJwu9C+PT6c5PjDn/JBYrnzHc9cR32Dq9ejbxnmtObwMHAWtjv6s7At3yU4fehellVWyBsS8DbxILqWMNdx/xmT5iuCuAicR3L+eENOcew80TDbNm/ZzvpBBCCCGEEEIIIYQQoimhv2IshBBCCCGEEEIIIUQzRgVCIYQQQgghhBBCCCGaMSoQCiGEEEIIIYQQ4j+aOo1zKKui4V84s3dDWRUtjeYZs12rek1Y6l3rp7p/EX+LucTfKnVcNq/VROL/yTn+34z//yHHLZtCjucVFQiFEEIIIYQQoolQVsXgsipesTrUllVxUVkVD9aZd1dZFVcY463LqhhVVkVNh9qyKrqXVfF2WRXbG26NsireLauin+F2KqvizbIqaroAl1VxYlkVL1g/6suquLKsitvrxP9oWRU1HT3LquhYVsVrZVUcYLhlyqp4p6yKjQ23UXLLGW7/sipeL6uio+GGllXxWJ0Yby2r4mpjvEW655MM1yXlahfDrZxyvKbhtkvPprvhji6r4qXUJTV3l5VVYTYpKKvi/rIqzE7XZVWMKatiiOF6pThqOi2XVbFuir+P4fYsq2JsWRU1DV/KqjijrIpn6hVH5gdlVQwCppdVsa2hLwK+L6tiRcONACaXVbFI9n0NxKYuNc1zyqpYFJgC/MNw/dK1zjPcr1KM+xnuuOR+YcR4LTC1rIolDfc8MKGM3cwbf98CwGcYDX7KqliC2CzlBsOtl+Ko6cJcVsXeydV0ii6r4tzkVjVivBuYYu0nxCYeH+VFtjJ2Zf4Ko5FHWRUl8D2xmVLutkpxDDbcEclZXYCvAKZZ+wmx4czEfD9JRcNxwGvGtboRGwbV7IdpP5heVsVZhtstuT0Md1pyaxkxzhPqYiyEEEIIIYQQTYdvgEkY3VHT+KQ68ybXcbOSm2K4GWnOVMN9n+ZNN9x3ydV09E3jk9N1cyZh39dsZ3VUnZnGvzXcD2neNMNNo378PzXHk+rEMdtZ8c8tx9PTnO8N912aZ+V4SppXL/6awmei3hqZneNvDPdDcvVyPAk7x9+meT8ablKdOOYnU9PH6ig7JX2s+5idM+s+vsJ+Pj9SP9fTiXmu6SadYvsOe419k8attTL7/bY6h09KceZrZWYat2L8gf9ZYznfpzistTI7v1aOv06fejme234yndr9ZPaatWKczv8805xpKc56OZ6KvdYnE+Ovl+NJ1OZ4FvVzPIO55/gb7Phn59faT74m3peV43lCXYyFEEIIIYQQQgghhGjG6K8YCyGEEEII8f+1YwcCAAAAAIL8rQe5MAIAGBOEAAAAADAmCAEAAABgTBACAAAAwJggBAAAAIAxQQgAAAAAY4IQAAAAAMYEIQAAAACMCUIAAAAAGBOEAAAAADAmCAEAAABgTBACAAAAwJggBAAAAIAxQQgAAAAAYwHsJuAZ11ntQgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_signal(se2_graph, output, (784,6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pooling and unpooling layers" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:10.524294Z", "iopub.status.busy": "2021-11-23T16:18:10.522850Z", "iopub.status.idle": "2021-11-23T16:18:12.480924Z", "shell.execute_reply": "2021-11-23T16:18:12.481434Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph does not already exist: INITIALIZATION...\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1600/1600 [00:01<00:00, 1068.69it/s]\n", "Done!\n", "Saved!\n", "Graph does not already exist: INITIALIZATION...\n", "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 2027.27it/s]\n", "Done!\n", "Saved!\n", "Graph does not already exist: INITIALIZATION...\n", "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 1957.95it/s]\n", "Done!\n", "Saved!\n" ] } ], "source": [ "up_se2_graph = R2GEGraph(\n", " [40, 40, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")\n", "\n", "se2_graph = R2GEGraph(\n", " [20, 20, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")\n", "\n", "down_se2_graph = R2GEGraph(\n", " [10, 10, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.485760Z", "iopub.status.busy": "2021-11-23T16:18:12.484996Z", "iopub.status.idle": "2021-11-23T16:18:12.487904Z", "shell.execute_reply": "2021-11-23T16:18:12.488590Z" } }, "outputs": [], "source": [ "input = torch.rand(20*20*1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.493713Z", "iopub.status.busy": "2021-11-23T16:18:12.493042Z", "iopub.status.idle": "2021-11-23T16:18:12.497636Z", "shell.execute_reply": "2021-11-23T16:18:12.498225Z" } }, "outputs": [], "source": [ "pool = SE2SpatialPool(2, (20, 20, 1), \"rand\")\n", "unpool = SE2SpatialUnpool(2, (20, 20, 1), \"rand\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.503393Z", "iopub.status.busy": "2021-11-23T16:18:12.502509Z", "iopub.status.idle": "2021-11-23T16:18:12.579681Z", "shell.execute_reply": "2021-11-23T16:18:12.580196Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_signal(se2_graph, input, (20*20,1))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.587093Z", "iopub.status.busy": "2021-11-23T16:18:12.585495Z", "iopub.status.idle": "2021-11-23T16:18:12.658274Z", "shell.execute_reply": "2021-11-23T16:18:12.658757Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " plot_signal(down_se2_graph, pool(input), (10*10,1))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.664019Z", "iopub.status.busy": "2021-11-23T16:18:12.662994Z", "iopub.status.idle": "2021-11-23T16:18:12.775125Z", "shell.execute_reply": "2021-11-23T16:18:12.777183Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " plot_signal(up_se2_graph, unpool(input), (40*40,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SO(3) Group Manifold Graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convolutional layer" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.786639Z", "iopub.status.busy": "2021-11-23T16:18:12.784368Z", "iopub.status.idle": "2021-11-23T16:18:12.810164Z", "shell.execute_reply": "2021-11-23T16:18:12.811452Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph already exists: LOADING...\n", "Done!\n" ] } ], "source": [ "so3_graph = SO3GEGraph(\n", " size=[642, 6],\n", " K=32,\n", " sigmas=(1., .1, 10.0 / 642),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.816478Z", "iopub.status.busy": "2021-11-23T16:18:12.815630Z", "iopub.status.idle": "2021-11-23T16:18:12.818273Z", "shell.execute_reply": "2021-11-23T16:18:12.818783Z" } }, "outputs": [], "source": [ "in_channels = 1\n", "out_channels = 1\n", "kernel_size = 4\n", "conv = ChebConv(in_channels, out_channels, kernel_size, so3_graph)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.824588Z", "iopub.status.busy": "2021-11-23T16:18:12.823904Z", "iopub.status.idle": "2021-11-23T16:18:12.839758Z", "shell.execute_reply": "2021-11-23T16:18:12.839206Z" } }, "outputs": [], "source": [ "with torch.no_grad():\n", " input = delta_kronecker((1, 1, 642*6), (0,0,143))\n", " output = conv(input)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:12.846966Z", "iopub.status.busy": "2021-11-23T16:18:12.845215Z", "iopub.status.idle": "2021-11-23T16:18:13.419234Z", "shell.execute_reply": "2021-11-23T16:18:13.420324Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_signal(so3_graph, output, (642,6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pooling and unpooling layers" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:13.427918Z", "iopub.status.busy": "2021-11-23T16:18:13.427170Z", "iopub.status.idle": "2021-11-23T16:18:23.112477Z", "shell.execute_reply": "2021-11-23T16:18:23.111822Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph does not already exist: INITIALIZATION...\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 2562/2562 [00:08<00:00, 285.71it/s]\n", "Done!\n", "Saved!\n", "Graph already exists: LOADING...\n", "Done!\n", "Graph does not already exist: INITIALIZATION...\n", "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 162/162 [00:00<00:00, 579.10it/s]\n", "Done!\n", "Saved!\n" ] } ], "source": [ "up_so3_graph = S2GEGraph(\n", " size=[2562, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")\n", "\n", "so3_graph = S2GEGraph(\n", " [642, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")\n", "\n", "down_so3_graph = S2GEGraph(\n", " [162, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:23.117955Z", "iopub.status.busy": "2021-11-23T16:18:23.116990Z", "iopub.status.idle": "2021-11-23T16:18:23.119247Z", "shell.execute_reply": "2021-11-23T16:18:23.119987Z" } }, "outputs": [], "source": [ "input = torch.rand(642*1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:23.126287Z", "iopub.status.busy": "2021-11-23T16:18:23.125375Z", "iopub.status.idle": "2021-11-23T16:18:23.130980Z", "shell.execute_reply": "2021-11-23T16:18:23.131773Z" } }, "outputs": [], "source": [ "pool = SO3SpatialPool(2, (642, 1), \"max\")\n", "unpool = SO3SpatialUnpool(2, (642, 1), \"avg\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:23.138868Z", "iopub.status.busy": "2021-11-23T16:18:23.137135Z", "iopub.status.idle": "2021-11-23T16:18:23.266972Z", "shell.execute_reply": "2021-11-23T16:18:23.264077Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_signal(so3_graph, input, (642,1))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:23.275012Z", "iopub.status.busy": "2021-11-23T16:18:23.273822Z", "iopub.status.idle": "2021-11-23T16:18:23.374617Z", "shell.execute_reply": "2021-11-23T16:18:23.375525Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " plot_signal(down_so3_graph, pool(input), (162,1))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:23.381624Z", "iopub.status.busy": "2021-11-23T16:18:23.380156Z", "iopub.status.idle": "2021-11-23T16:18:23.585598Z", "shell.execute_reply": "2021-11-23T16:18:23.586552Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " plot_signal(up_so3_graph, unpool(input), (2562,1))" ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }