{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "1fa4bc5d-9d52-4d50-97cf-6dac18991667", "metadata": {}, "outputs": [], "source": [ "import os\n", "os.environ['CUDA_VISIBLE_DEVICES'] = '0'" ] }, { "cell_type": "markdown", "id": "c80ba672-7f41-40ee-bd3a-5d868893f204", "metadata": {}, "source": [ "### Tutorial B1: Marginalization\n", "\n", "> predict + ersatz (substitute) + predict\n", "\n", "A common way to discover what sequence features a machine learning model has learned is to consider each potential motif (from a pre-defined set), substitute it into background sequences, and look at the result averaged over all backgrounds. This is called in silico marginalization, with the name coming from the idea that you are \"marginalizing\" the effect of background sequence and looking at the marginal effect on model predictions from that single motif without any interactions. More concretely, if you have a set of known protein binding sites -- perhaps from a resource like JASPAR -- you can use marginalizations to see the individual effect of each protein binding site on model predictions and determine what binding sites are relevant for predictions.\n", "\n", "Marginalizations can be done in `tangermeme` using the `marginalize` function which build on the `predict` function. Given a machine learning model, background sequences, and a motif to substitute in, `marginalize` will make predictions using the model on the background sequences, substitute the motif into the sequences, and then make predictions on these new sequences, and return both sets of predictions. If the model makes multiple sets of predictions, these are handled just as they would be from the `predict` function. \n", "\n", "Importantly -- it is up to the user to determine the appropriate way to take the predictions from before and after substituting in the motif and combine them into a distance representative of the effect of the perturbation. A common way is to simply take the difference in predictions, or the Euclidean distance between predictions, but the correct way will likely involve knowing the properties of the outputs of the model (e.g., is it in log scale, is it a vector of probabilities or a vector of counts, etc...)." ] }, { "cell_type": "markdown", "id": "12778a3d-d310-44c7-b758-fdf2ccd2ef07", "metadata": {}, "source": [ "#### Marginalize\n", "\n", "Accordingly, the workhorse of these analyses is the `marginalize` function. This function takes in a machine learning model, one-hot encoded background sequences, and a subsequence/motif to insert into the background sequences. As described above, this function will first make predictions on the background sequences, then insert (or more accurately, `substitute`) the motif into the backgrounds, and then make predictions on the new sequences, and return all outputs in both settings to the user.\n", "\n", "For our demonstration, let's use the Beluga model, which is an improvement over the original DeepSEA model." ] }, { "cell_type": "code", "execution_count": 2, "id": "e36be340-11a3-4794-a5a9-54caa722e0d0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import torch\n", "from model import Beluga\n", "\n", "model = Beluga()\n", "model.load_state_dict(torch.load(\"deepsea.beluga.torch\"))" ] }, { "cell_type": "markdown", "id": "84c0c19d-b73b-49f3-a770-a057d3d9571a", "metadata": {}, "source": [ "We can start off by generating some uniformly random background sequence which we will insert the motif of interest into. As a note, uniformly random characers MAY NOT BE THE BEST BACKGROUND FOR YOUR SETTING. You may want to generate sequence with the same character probabilities as those seen in native sequences, or in the genomics setting have sequences with the same GC dinucleotide percentage as some set of sequences. Here, we use uniformly random characters just to demonstrate how to use the functions." ] }, { "cell_type": "code", "execution_count": 3, "id": "7cdec8e6-184d-4a57-b20f-68fede8de377", "metadata": {}, "outputs": [], "source": [ "from tangermeme.utils import random_one_hot\n", "\n", "X = random_one_hot((100, 4, 2000)).type(torch.float32) # Generate 100 random sequences to marginalize over" ] }, { "cell_type": "markdown", "id": "1fabf5c8-9b54-4fd7-bf76-485a0f88fe77", "metadata": {}, "source": [ "Now, if we have a motif that we want to insert, we can put in the characters and the alphabet (default is the nucleotide alphabet) or we can pass in a one-hot encoding. Here, let's put in an extended AP-1 motif. By default, this function will one-hot encode the characters according to the provided alphabet and then substitute those in to each of the provided sequences." ] }, { "cell_type": "code", "execution_count": 4, "id": "bb5b2b34-8607-4aef-9587-2e9ca25137be", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(torch.Size([100, 2002]), torch.Size([100, 2002]))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from tangermeme.marginalize import marginalize\n", "\n", "y_before, y_after = marginalize(model, X, \"GTGACTCATC\", device='cpu')\n", "y_before.shape, y_after.shape" ] }, { "cell_type": "markdown", "id": "74c1412c-6005-457b-b892-8a05786c00f0", "metadata": {}, "source": [ "We get the predictions before and after the substitution as the output of the `marginalize` function. In this case, there were 100 background sequences used, and the Beluga model makes predictions for 2002 tasks.\n", "\n", "For each one of Beluga's output tasks we can plot the difference in the predicted logit before and after inserting the motif across each of the 100 background sequences. Let's initially focus on those tasks with the highest difference in predictions." ] }, { "cell_type": "code", "execution_count": 5, "id": "7742a7fa-7a35-490e-a0d4-cb04e597f166", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import seaborn; seaborn.set_style('whitegrid')\n", "import numpy\n", "\n", "names = numpy.array([name[:40].replace(\"_None\", \"\") for name in numpy.loadtxt(\"beluga_target_names.txt\", delimiter=',', dtype=str)])\n", "\n", "y_delta = y_after - y_before\n", "idxs = torch.flip(torch.argsort(y_delta.mean(axis=0)), dims=(0,))\n", "ymax = max(abs(y_delta.min()), abs(y_delta.max()))\n", "\n", "\n", "plt.imshow(y_delta[:, idxs].T, aspect='auto', cmap='RdBu_r', vmin=-ymax, vmax=ymax, interpolation='nearest')\n", "plt.colorbar(label=\"Difference in Logits\")\n", "plt.ylim(0, 30)\n", "plt.yticks(numpy.arange(0.5, 30.5, 1), names[idxs[:30]], fontsize=8)\n", "plt.xlabel(\"Sequence\")\n", "plt.grid(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2cd153b1-2337-4857-bf72-ee93213896a7", "metadata": {}, "source": [ "Looks like inserting this motif has had the largest effect on FOS/c-FOS and JUN/c-JUN tasks, greatly increasing the predicted logits in most/each of the background sequences. This makes sense because those are in the AP-1 family of proteins and all bind to the provided motif. \n", "\n", "Now, we can look at those tasks where the predictions were reduced the most." ] }, { "cell_type": "code", "execution_count": 6, "id": "ff361ba4-154a-4cd2-b2ca-3d4b3ff04e4e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_delta = y_after - y_before\n", "idxs = torch.argsort(y_delta.mean(axis=0))\n", "ymax = max(abs(y_delta.min()), abs(y_delta.max()))\n", "\n", "\n", "plt.imshow(y_delta[:, idxs].T, aspect='auto', cmap='RdBu_r', vmin=-ymax, vmax=ymax, interpolation='nearest')\n", "plt.colorbar(label=\"Difference in Logits\")\n", "plt.ylim(0, 30)\n", "plt.yticks(numpy.arange(0.5, 30.5, 1), names[idxs[:30]], fontsize=8)\n", "plt.xlabel(\"Sequence\")\n", "plt.grid(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d23a5428-a130-4201-81cd-1d82eb79c8d8", "metadata": {}, "source": [ "Even though we are looking at tasks where the prediction decreased the most, the actual difference in predictions ended up being quite small This also makes sense because if you start off with a randomly generated region, where nothing is likely happening, and add a motif irrelevant for those tasks, it's not like the prediction should get much more negative. More concretely, inserting an AP-1 binding site is unlikely to significantly decrease your prediction of histone modifications.\n", "\n", "We can also be a bit more comprehensive and just plot the predictions before and after insertion of the motif, averaged across all the background sequences." ] }, { "cell_type": "code", "execution_count": 7, "id": "335e3a29-dd43-4c4c-8888-f3023cd12955", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Logit After Insertion')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(y_before.mean(axis=0), y_after.mean(axis=0), s=10)\n", "plt.xlabel(\"Logit Before Insertion\")\n", "plt.ylabel(\"Logit After Insertion\")" ] }, { "cell_type": "markdown", "id": "178700a7-25b7-4d03-b94b-ff98c6780bd9", "metadata": {}, "source": [ "Looks like a few tasks were significantly effected by the insertion of the motif whereas others were not effected at all. Remember that it is the difference we are interested in when doing in silico marginalizations, not necessarily the raw value which can be affected by a large number of other factors.\n", "\n", "Potentially, a more visually compelling example of an in silico marginalization comes from making predictions at basepair resolution using a model like BPNet. Here, we will consider a BPNet model trained to predict GATA2 binding." ] }, { "cell_type": "code", "execution_count": 8, "id": "47812497-4475-4c73-aa00-252e96bcc160", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bpnet = torch.load(\"gata2.bpnet.torch\")\n", "\n", "X = random_one_hot((100, 4, 2114)).type(torch.float32) # Generate 100 random sequences with the right size for BPNet to marginalize over\n", "y_before, y_after = marginalize(bpnet, X, \"CTTATCT\", args=(torch.zeros(100, 2, 2114),), device='cpu')\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.scatter(y_before[1], y_after[1])\n", "plt.plot([1.1, 2.1], [1.1, 2.1], color='0.7')\n", "plt.xlabel(\"Without Motif\")\n", "plt.ylabel(\"With Motif\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dc4b5c89-9b16-404b-9d91-a58d39bfe792", "metadata": {}, "source": [ "Looking at the count head gives the results that one would expect -- when inserting a GATA motif into a sequence, the model predicts a larger number reads.\n", "\n", "Next, we can look at the basepair resolution profile before and after insertion." ] }, { "cell_type": "code", "execution_count": 9, "id": "8f9acdd9-1f07-40c9-bc0f-931f75dc8d93", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "yb = torch.nn.functional.softmax(y_before[0].mean(axis=0), dim=-1)\n", "ya = torch.nn.functional.softmax(y_after[0].mean(axis=0), dim=-1)\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(yb[0], color='0.7', linewidth=1, label=\"+ strand before\")\n", "plt.plot(yb[1], color='0.3', linewidth=1, label=\"- strand before\")\n", "\n", "plt.plot(ya[0], color='r', linewidth=1, label=\"+ strand after\")\n", "plt.plot(ya[1], color='b', linewidth=1, label=\"- strand after\")\n", "plt.xlabel(\"Genomic Position\")\n", "plt.ylabel(\"Predicted Probability\")\n", "plt.legend(fontsize=8)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b96dbfb6-6221-4825-aecb-8f6b15d17eb9", "metadata": {}, "source": [ "Here, we see that before the insertion (the two gray lines) the profile is fairly flat because there is no GATA binding site. However, after insertion, there are two peaks (one for reads mapping on the positive strand, one for reads mapping on the negative strand) centered on the motif. Plots like this show that the BPNet model is responding to the insertion of the motif, and hence that the motif is globally important.\n", "\n", "Important, note how the function easily handled a model whose output is a simple tensor, like the Beluga model, as well as a model whose output is several tensors. When using the functions implemented in `tangermeme`, you don't have to think about these complexities." ] }, { "cell_type": "markdown", "id": "2141270d-ef05-43c5-a6b9-3c87a0e61b4d", "metadata": {}, "source": [ "##### Starting Position\n", "\n", "By default, when performing marginalizations the substitution happens in the exact middle of the sequence, with an equal number of positions in the motif to the left and to the right of the middle point in the background sequences (assuming both the motif and background are an even length). If you would like to set the start position of the substitution to somewhere else you can pass in the `start` parameter. This parameter specifies where the *start* of the substitution is, not the central position of the substitution. Doing so can be useful when comparing motifs of differing lengths and want to keep the set of characters that are modified as similar as possible.\n", "\n", "As an example of the effect this can have, let's substitute the GATA motif in at position 750. This will make the first `C` in the motif occur at index 750 in the sequence. This should move the output profile over by ~250 bp as well." ] }, { "cell_type": "code", "execution_count": 10, "id": "a1324b34-10d4-4953-b31a-4d4f67c6e77f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_before, y_after = marginalize(bpnet, X, \"CTTATCT\", args=(torch.zeros(100, 2, 2114),), start=750, device='cpu')\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(torch.nn.functional.softmax(y_before[0].mean(axis=0)[0], dim=0), color='0.7', linewidth=1)\n", "plt.plot(torch.nn.functional.softmax(y_before[0].mean(axis=0)[1], dim=0), color='0.3', linewidth=1)\n", "\n", "plt.plot(torch.nn.functional.softmax(y_after[0].mean(axis=0)[0], dim=0), color='r', linewidth=1)\n", "plt.plot(torch.nn.functional.softmax(y_after[0].mean(axis=0)[1], dim=0), color='b', linewidth=1)\n", "plt.xlabel(\"Genomic Position\")\n", "plt.ylabel(\"Predicted Probability\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "eaac3cab-2c37-4dde-a927-4aa7ca73567b", "metadata": {}, "source": [ "We can see that the output is exactly what we expected. When the position of the substituted motif is changed, the output from the model will also change." ] }, { "cell_type": "markdown", "id": "31742d79-1489-43a6-8dd2-ac03f5825c40", "metadata": {}, "source": [ "##### Additional Arguments\n", "\n", "If we have additional arguments to pass into the model, the format of those arguments follows the `predict` functions exactly. Specifically, when using the `marginalize` function, you can pass in a tuple of arguments to `args` where each element in the tuple has the same `batch_size` as the background sequences. In the previous examples, BPNet required a control track which at inference time is set to entirely zeros. Here, we can look at another model whose internals are a bit more simplistic. Basically, a model that optionally takes in two parameters and linearly transforms the output according to them." ] }, { "cell_type": "code", "execution_count": 11, "id": "852ae7a7-0b40-4fe7-99c7-3e3721650bdd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(torch.Size([20, 3]), torch.Size([20, 3]))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "torch.manual_seed(0)\n", "\n", "class FlattenDense(torch.nn.Module):\n", "\tdef __init__(self, length=10):\n", "\t\tsuper(FlattenDense, self).__init__()\n", "\t\tself.dense = torch.nn.Linear(length*4, 3)\n", "\n", "\tdef forward(self, X, alpha=0, beta=1):\n", "\t\tX = X.reshape(X.shape[0], -1)\n", "\t\treturn self.dense(X) * beta + alpha\n", "\n", "model = FlattenDense()\n", "X = random_one_hot((20, 4, 10)).float()\n", "\n", "\n", "alpha = torch.randn(20, 1)\n", "beta = torch.randn(20, 1)\n", "\n", "y_before, y_after = marginalize(model, X, \"ACGTACGT\", args=(alpha, beta), device='cpu')\n", "y_before.shape, y_after.shape" ] }, { "cell_type": "markdown", "id": "adf7ec57-7acc-4c06-8cd7-b5e78aab72ce", "metadata": {}, "source": [ "All we have to do is pass in `alpha` and `beta` that have the same first dimension as `X` -- in this case, 20. If you wanted to, you could pass different values of `alpha` and `beta` in for different examples but that might not make as much sense as when just making predictions. " ] }, { "cell_type": "markdown", "id": "20215611-e534-42cd-b0bf-4a87a37d2c2e", "metadata": {}, "source": [ "#### DeepLIFT/SHAP and custom functions\n", "\n", "By default, `marginalize` makes predictions before and after adding a motif to a background sequence. However, conceptually, one could run *any* function before and after the addition, including attribution algorithms. This can be done by passing some other function into the `func` parameter. In this case, the attribution values before and after would be returned instead of predictions from the model. " ] }, { "cell_type": "code", "execution_count": 12, "id": "99ff4b3b-1623-40f3-9938-0b55f674ea6c", "metadata": {}, "outputs": [], "source": [ "from tangermeme.deep_lift_shap import deep_lift_shap \n", "\n", "model = Beluga()\n", "model.load_state_dict(torch.load(\"deepsea.beluga.torch\"))\n", "\n", "X = random_one_hot((5, 4, 2000)).type(torch.float32) # Generate 5 random sequences to marginalize over\n", "\n", "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=deep_lift_shap, device='cpu')" ] }, { "cell_type": "code", "execution_count": 13, "id": "99bf2d7e-de51-4462-9e6f-5c4c8f6eebaf", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import seaborn; seaborn.set_style('whitegrid')\n", "from tangermeme.plot import plot_logo\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[:, :, 950:1050].mean(dim=0), ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-0.05, 0.15)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[:, :, 950:1050].mean(dim=0), ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-0.05, 0.15)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "abf85cb8-adfe-4a0a-9553-b7ad25f12269", "metadata": {}, "source": [ "As you might expect, the attribution values highlight the included motif. We see multiple characters at some of the other positions because, although the `deep_lift_shap` function only provides attributions for the observed characters by default, we are averaging the attributions over many shuffled background sequences.\n", "\n", "You may have noticed that we are only using a small number of background sequences here. That is because `deep_lift_shap` is run on each example before and after the substitution. Each time `deep_lift_shap` is run it constructs a set of (by default 20) references. For 5 background sequences, we are running 200 forward/backward passes through the model. This can scale up quite rapidly.\n", "\n", "Finally, you might be wondering what the attribution was calculated with respect to. The `deep_lift_shap` function requires a single output target and Beluga has several thousand. By default, the attributions are calculated with respect to the first output. Coincidentally, for Beluga, this output is a DNase track and AP-1 motifs drive accessibility across many cell types. If you want to change the target -- or alter any of the other parameters -- you can pass in arguments as keywords." ] }, { "cell_type": "code", "execution_count": 14, "id": "404d228a-0be9-4ba2-8440-98fb16bb6f8c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=deep_lift_shap, target=267, device='cpu')\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[:, :, 950:1050].mean(dim=0), ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[:, :, 950:1050].mean(dim=0), ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9c69927e-f10d-46eb-ac2d-50db215c21ce", "metadata": {}, "source": [ "Here, we passed in an additional parameter `target` and set that parameter to 267, which corresponds to a JunD ChIP-seq experiment.\n", "\n", "All additional keyword arguments passed into `marginalize` are passed into the provided function. However, if this seems weird to you or you want to be certain that an argument is being passed into the function rather than being used by `marginalize` you can pass in a dictionary `additional_func_kwargs` where the keys are the names of the parameters and the values are the value that parameter should take." ] }, { "cell_type": "code", "execution_count": 15, "id": "d55b714d-76e2-4abc-9814-e195834493cd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=deep_lift_shap, additional_func_kwargs={'target': 267}, device='cpu')\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[:, :, 950:1050].mean(dim=0), ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[:, :, 950:1050].mean(dim=0), ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d0b2e7ae-8047-42a7-8696-41dd2f8920aa", "metadata": {}, "source": [ "We can use this functionality to implement an alternate way of consider attributions when looking at marginalizations. Our basic intuition is that the background sequences that we add motifs to are sort of like the references that are constructed for methods like `deep_lift_shap`, so maybe we can just use them explicitly that way. Implementation-wise, this means setting the number of shuffles per example to 1 and increasing the number of background sequences." ] }, { "cell_type": "code", "execution_count": 16, "id": "b95f0575-bc80-4b47-b5db-754811782290", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = random_one_hot((100, 4, 2000)).type(torch.float32)\n", "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=deep_lift_shap, target=267, n_shuffles=1, device='cpu')\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[:, :, 950:1050].mean(dim=0), ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[:, :, 950:1050].mean(dim=0), ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-0.05, 0.35)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "093eacad-5819-4c4a-ac25-6683ebed7b29", "metadata": {}, "source": [ "The attributions here do seem to be a bit cleaner than the attributions in the previous plots. We are trading having more accurate attributions for *each* example for having more examples to average over. In the marginalization setting, this might be the preferable choice." ] }, { "cell_type": "markdown", "id": "16616a92-727f-4522-be8e-f93fe4bb3a76", "metadata": {}, "source": [ "#### Saturation Mutagenesis\n", "\n", "An alternate method for calculating attributions is in silico saturation mutagenesis. Because the `marginalize` implementation is agnostic to the specific function that it is applying, we can drop it (or any custom function!) in just like we passed in `deep_lift_shap`." ] }, { "cell_type": "code", "execution_count": 17, "id": "60e5a13e-8ff6-4b9c-8f31-9a7dd6e7eb0c", "metadata": {}, "outputs": [ { "data": { "image/png": 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tUqVK7Nmzx2G5TZs2ZRsp25lasMwm0ytWrHCYvmbNGpKTk7M1qXZWYGAgvXv35o477uDvv//OseY2L3bv3g1gv+VXp06dMAyDkydPEhoamu0v68jRObn55puB7Pu9Y8cODhw4YJ9/OZ06deLff/+lVKlSOcZw6T3Sr6RLly506dKFPn36XLafbuvWrdm8eXO2ZtXLly/H29vb/trCqg1NT0/PNenMHFE7s8a2UqVKANnK7fr163Nd/6XvhcxR77O+FzJ5eHjQsmVL+wB0f/31l3065H3fc3s/OxO/M58JeT2HIiKimm4RkSJlw4YNnDp1ilGjRtGqVats82vXrs28efOIjIzklltusQ/GtHjxYnx9ffH09KRy5cqULl2aOnXq8M033/D5558TEhKCxWLJV61wpm+//RZXV1fatm3Lvn37mDx5MnXr1qVbt272ZXr06MHkyZOZPHkyLVu2ZP/+/cybN89hwKXM/cgt7ku1bduWdu3aMXHiRBITE2natCl79uzhgw8+oH79+vTo0cPpfenXrx+dOnUiODiYkiVLcuDAAZYvX06TJk3ydG/rw4cP8/vvvwOQkJDAxo0biYyMJCQkhObNmwPQrFkz7r33Xl544QV27dpFixYt8Pb2JiYmhl9//ZU6depw//3357qNGjVqcO+99zJv3jxcXFzo0KGDffTyChUqOAwCl5tBgwbxzTff8OCDD/K///2P4OBgbDYbx48f56effuKhhx5y6t7vnp6efPDBB1dc7oknnuC7775j4MCBPPHEE5QsWZKVK1fy/fffM3r0aHt5qFq1Kl5eXqxcuZKaNWvi4+NDUFCQQ4uK/EhISKBz58507drV3i85OTmZLVu2MGfOHGrWrMltt90GmE3D27Rpw4wZMyhZsiQVK1Zk06ZNfPvttzmu293dndmzZ5OcnExoaKh99PIOHTrYz/3kyZM5ceIErVu3pnz58sTHxzNnzhzc3d3tibmz+16nTh1WrVrF6tWrqVy5Mp6engQHBxMaGspNN93EO++8g9VqpUSJEqxdu5Zff/01x3Xk9TMhr+dQRESUdIuIFCmRkZG4u7vTp0+fHOcHBATQpUsX1qxZQ2xsLFWqVOGFF15gzpw5DBw4EKvVSnh4OL1792bgwIHs27eP9957j4SEBHvT5/yKiIggIiKCBQsWYLFYCAsL44UXXnBoJv3www+TmJjI0qVL+eSTT2jYsCGTJ09m2LBhDuu6XNyXslgsTJ06lYiICJYsWcK0adMoVaoUPXr04JlnnnH61klg1iKvX7+ezz77jJSUFMqVK0fPnj157LHH8vT6d9991/7Yx8eHihUrMmzYMAYPHuzQ7H/8+PE0atSIRYsWsWDBAmw2G0FBQTRt2pSGDRtecTuvvvoqVapUITIyks8//xw/Pz/at2/Ps88+m6fmvT4+PsyfP58ZM2awaNEijhw5gpeXFxUqVLDfBqww1KhRg4ULF/Luu+8yfvx4zp8/T82aNbOdY29vb958802mTJnCww8/THp6OsOHD+fJJ5+8qu37+fnx5JNPsmnTJt577z1iY2OxWCxUrlyZQYMGMWTIEIeLK++88w6vv/46EydOxGq1cssttzBp0qQc34fu7u5MmzaNN954g48++ggvLy/69etnH9kfoFGjRuzatYuJEycSFxdHiRIlCAkJ4dNPP7VfcHJ235988kliYmJ46aWXSEpKolKlSqxfvx5XV1emTZvG66+/ziuvvIKHhwd33HEH48aNY+jQoQ7rcOYzIa/nUEREwGJczfCcIiIiIiIiIpIr9ekWERERERERKSRKukVEREREREQKiZJuERERERERkUKipFtERERERESkkCjpFhERERERESkkSrpFREREREREConT9+k+fvw4FouF8uXLA7Bjxw5WrlxJrVq1uPfeews8QBEREREREZGiyuma7meffZbNmzcDEBMTw+DBg9m5cyfvvvsuU6ZMKfAAC5PNZmPHjh3YbLbrHYpIgVP5luJM5VuKO5VxKc5UvuVG43TSvW/fPho2bAjAV199Re3atVm4cCGTJk1i6dKlBR5gYTIMg/T0dAzDuN6hiBQ4lW8pzlS+pbhTGZfiTOVbbjROJ90ZGRl4eHgAsHHjRsLCwgCoUaMGMTExBRudiIiIiIiISBHmdNJdq1YtFi5cyC+//MLGjRvp0KEDAKdOnaJUqVIFHZ+IiIiIiIhIkeV00j1q1CgWLVrEgAEDuOOOO6hbty4A69evtzc7FxEREREREZF8jF7eqlUrNm/eTGJiIiVLlrRPv+eee/D29i7Q4ERERERERESKMqeTbgBXV1eHhBugcuXKBRKQiIiIiIiISHHhdNIdGxvL22+/zaZNm4iLi8s26mB0dHSBBSciIiIiIiJSlDmddI8ZM4bjx48zbNgwgoKCCiOmXG3bto1Zs2axa9cuYmJi+PDDD7n11luvaQwiIiIiIiIieeV00v3rr7/y+eefU69evcKI57KSk5MJDg6md+/ePPnkk9d8+yIiIiIiIiLOcDrprlChwnW7kX3Hjh3p2LHjddm2iIiIiIiIiLOcvmXYCy+8wKRJkzhy5EhhxCMiIiIiIiJSbDhd0z1y5EhSUlLo0qULXl5euLu7O8zfunVrgQVXGGw2m72m3mq1OvwXKU5UvqU4U/mW4k5lXIozlW8pTlxdXa+4jNNJ9wsvvJCvYP4rdu3aRXp6usO0nTt3XqdoRAqfyrcUZyrfUtypjEtxpvItxUGzZs2uuIzTSXevXr3yFcx/RUhIiENN986dOwkNDc3TFQqRokTlW4ozlW8p7lTGpThT+ZYbjdNJN5hvlLVr13LgwAEsFgu1atUiLCysSLxpXFyyd2N3dXUtErGL5IfKtxRnKt9S3KmMS3Gm8i03CqeT7sOHDzN06FBOnjzJTTfdhGEYTJ8+nfLlyzNjxgyqVq1aGHECkJSUxD///GN/fuTIEaKjoylZsiQVK1YstO2KiIiIiIiI5IfTSfcbb7xBlSpVWLRoEaVKlQLgzJkzjB49mjfeeIMZM2YUdIx2u3btYuDAgfbn4eHhgNnk/a233iq07YqIiIiIiIjkh9NJ97Zt2xwSboDSpUszatQo+vfvX5CxZdOqVSv27NlTqNsQERERERERKShO36fbw8ODpKSkbNOTkpKy3T5MRERERERE5EbmdNLdqVMnxo0bxx9//IFhGBiGwe+//86rr75KWFhYYcQoIiIiIiIiUiQ53bz8pZde4vnnn+fee+/Fzc18udVqJSwsjBdffLHAAxQREREREREpqpxOukuUKMFHH33EoUOHOHjwIIZhUKtWLapVq1YY8YmIiIiIiIgUWfm6TzdA9erVqV69egGGIiIiIiIiIlK85CnpDg8P56mnnsLHx8d+m67cjB07tkACExERERERESnq8pR0//XXX2RkZNgfi4iIiIiIiMiV5Snpnjt3bo6PRURERERERCR3Tt8ybOzYsSQmJmabnpycrKblIiIiIiIiIlk4nXQvW7aM1NTUbNPPnz/P8uXLCyQoERERERERkeIgz6OXJyYmYhgGhmGQlJSEp6enfZ7VamXDhg0EBAQUSpAiIiIiIiIiRVGek+7mzZtjsViwWCzcfvvt2eZbLBaefPLJAg1OREREREREpCjLc9I9Z84cDMNg0KBBREREULJkSfs8d3d3KlasSLly5QolSBEREREREZGiKM9Jd8uWLQFYt24dFStWxGKxFFpQIiIiIiIiIsVBnpPuTMeOHePYsWO5zm/RosVVBXQl8+fPZ9asWcTExFC7dm1eeOEFmjdvXqjbFBGRKzAMyEgy/1xcwb0kuLhf76hERERErjunk+4BAwZkm5a11js6OvrqIrqM1atXEx4eziuvvELTpk1ZuHAhQ4YMYdWqVVSsWLHQtiuSm5QU2LcPDh2CxEQ4fx4sFvDzg2rV4EIDEZHiKSMZdo2H42vASIey7cEzEDAg9TS4l4DGb1/vKEVERESuK6eT7m3btjk8T09PJzo6msmTJzNy5MgCCywns2fPpk+fPvTr1w+AF198kZ9++okFCxbw7LPPFuq2/wsybBl8uPVDNh7ZSGmv0liw8GKHF6lcovL1Du2aWblnJS9/9zLBgcHsOLmDgQ0HMqrNKNxdr32N2rPPQkQEuLnBtGnQqhWULm3OO3cOzp4Fko/CP19Awh7wrQbeFcHiBhYXsGWAd3kof+s1j724MgzYvdu8EHLqFPj7g7c3uFy4OWJGBtx2G/j4XLuYduyA+fMhOhpuugmCg82YXF3BZjMv0gwadO3icUZiIhw9CqdPQ2qqefxcXMw/f39o7jURot8GV2/ocxZcPeD4N2YSnp5g/iX9C75V8rzNtDRISID0dLBazW15eprbc3fNgHN/QvIRSE8GasDxb8HFAMMKJeqBf81COx4ihc6WAamxkH4W0i/cnvXsTnD3Bs+y4Km7xEgxZxiQkWheuLWlgi0NsICrJ7j6go8q2aRocjrp9vf3zzatbdu2eHh4EB4ezpIlSwoksEulpaXx559/MnTo0Gzb3r59e57XY7PZMAwDMG91lvV/psS0RNbsX8PyPcs5e/4sTco34ed/f6ZRuUb0qtuL1lVa43r+FKSeNF/gWc5sRpmRBLZ0wABXL6d+aNplDlB37pzD5J8O/8Sob0cRlxJH3/p9qRlQk0+3f0qzac0Y3WY0T7R8Ag9XDwCS05NJSkvCxeKCzbBR0qukfV7eDpIVrElgTTOTQxc3IGsffgu4+zm/b3mRZYC+rMcgNimW59c+z5d7v6RD9Q50r9Gdsl5lmfHLDFbuXsmHd3xIw3INSbem8/fZvzl09hDl/cqTmJpImi2NOgF1qOBfoUDHImjVCrZvh7/+gl9+Mb8nSpUy58XHm0lD0zLfw/5Z5hdIwwngexPER8OZ3+HYanPhrr9z6nwCP/7zI78c+4VaZWpx7vw5ElITaF+tPa0qtcLXw9e+3ZT0FNJt6QC4WlzxcffBYrFgGPDdd2aSBNC0qVmuDx+24uJixuftDWXLFtghKBiGAae+NxMp91JQsoH5fjp/0jxu1hTzgkXJ+gDYDBvnM87bX+7l5oWLxcyqV66EF1+Ef/6Bp56Cnj3NZM3NzUwaz50zN3fJW74AdsHAwLA/z4wHYOtWWLcODhyAtm2hZk2zmLu4QFKSGVNKivk/Lc1Mxr28Ll4oyOTra86zy+WzIs2axs6TO9l2bBtuLm4E+gRyIO4AoeVCaVGxBaW9S8OJ9ZC4D9z8IaAZuHiZn2dp8ZARDz5VmbOqOa+9BrGx8NJL5sWKMmXMGJKT4cgRsDYYDsknzPWtvw2CbgGPAPAoC/umg4sn1HsRvC5/wNPT4ZlnYMUKcz+ffRbq1jUfW61w5gyUKAEt3Z6FQ59DyWCsoW8BYE2Nh/idkBBtvr8av+X8CZRrK5eyG38+nh//+ZEfDv9ASc+SlPAswd7Te2lTpQ2dqneign+FvK3fmnrh+zjDvBBkceHid5gBFndw887TqnbH7uaLP7/gq/1f0bBcQ5LTkzl89jB3B99N3wZ9qVayWt5iyosDH8PO18DNF0LHY/Wva+7O8e8gbqP5fm01s+C2VxTZrHByPaSeAq/y4FfTPL/nT5nfF7Y08K8DftWvd6RyBTn+Bj/3F2x5GOL/gnpjoNwt5u/qpL/hxLfmhdzGb0GJutcp6pzZbOb3eVqa+djDw7ygnvnbK/P3l/u1rB9K+hfifgVrMgQ0AVc/87d9eiKknwOLKwS2MT8j5aq5OvxAy5nFyMxAr9KBAwfo27evUwmwM06ePEmHDh1YsGABTZs2tU+fNm0aS5cuZc2aNXlaz+aNP+DuWUgJo4iIiIiIiNwwmjVrdsVlnK7p3r17d7Zpp06dYubMmQQHBzu7OqddWlNpGIZTtZctb27vUNO9c+dOQkND83SFIj8SE81mrufOmU0z3d3Nq1+Zlzrq1zeviF0zaWch7jc4f8Ic6Mij1IVaAMCwgWeZgr2CaEs3r7alnwUjw6xhsB8Aw7wiXVi15je43Mr3+vXw1VdmTWW7dlC5slkuXVzMK7SentC5M0THRHNf1H0kpiYyq8cspv86nTX71/D6La/zRMsn+Ppr6N/ffM3o0WYN86VvRcO4OO1syllOJpmtQ0p4lsh7rVVhMWwXakbSzdoTMGvYXdztZXLzv5t5es3TeLt5U7dsXVbtXcW4juN4qMlDDrXZcu3lVr5tho2eC3vyw+EfqFqyKqFBoRxPOM5vJ36jrE9Zfn7oZ8r5FeDtLU9vg7N/mC2D/GqYrZwsmdUbVijdyPxcLSipcZByFNLjwcXDrK2wuJjl2eKCUaoxmzeb3SySksyxJUqUuNhywmqFGjWgalX4+Z+feWL1E5T2Kk3Puj0J/ymc3vV681bntyjhVcJxu7m0QiJ+D/y7xIwpoDl4Bpn9+20Z5jHwKAXlO2f/cLjBrF0LP/5odtVo1gzKlTNb4Fgs5mdo6dLZxwDJrYwfiz/G/5b/j79i/uKjOz5iSfQSVuxdwYSwCTzW/DFIPAy7XjFbVFXoBqUbm2Ux8W+z5ZAtFeqPdWyqnkvrA1Y3hOTDUH0ANJ9iTtv7odnNI2E/lAqBpu9mX09O63JCerrZOslqNY+Pi4v5PeXtnY+ilFtM2x6Hw5+bv3k6bzCbL/+7DE5vhtifzWVu/TH7+mxWM4hC+g5IzUjl498+Zvme5bSp3IaNRzZyf+j9PNjwQdxcLvnZntu+nVgHP/czPxfaRZnvwbO7IHYj/P4cYEDH1VC2bZ7j+v3472w/uR0vV7N1WddaXSnpZW7/m2/ggQfMmt7evWHoULM7lYsLHDsG+/dD376O67ua3+AvvwwffGCuf9gw6N7dbMWXnGx+9gUFQViYuWyGLYMTiScwMPB08STILyjnleZ2LHe/C7teA/cA6Lbd/EyL2Wh+7if9Yy7TYKw5hsmN7OwOiN1i/q7yqwlufhdbGRlW8K+dvxbA+WVNg52vmO9lv1pQrhO4eJvdPW3pZk5Spa/ZCiBTrp8Vj8HhBWYXts4bzNYB/y6D01vg9KYLC+XwWXEJp2u669ate6Epq+PLGjduzIQJE6hZs3D606WlpdG4cWMmT55Mly5d7NPfeOMNdu/ezbx585xep9Vq5ffff6dx48aFlnSLXC8FUb7jUuJ4/tvnOZt6Fpth47Fmj9Glpvn+O3rU7Iu8fj00bmw2565Vy/xRlJwM//4LrVtD9eoFt0/Xg9Vm5Vyq+eHr4+6Dl5vXdY5I4PLl+2TiSRpPb0xKegq/Pfob90fdz7Zj2/jmwW/oXKPzdYr4vykpLYlfj/+KYRiU8ipFo/KNrndIcsHlyni6NZ33Nr/HicQTAPSr34/WVVrnvCKb1Uy04eJFoUtlZrKX/iQ89QPsmQzxu82uKH41zDEcrOfNJvyV7oJyHa+8MwXTqDJ/smbpWeOI3w1/vAhxv5gXjAKam4mTcaFfvV8NqDH42sfrjNz27cRa+KG7efGr/VLzPKXFmd24wNy/wNZmV4YCEBICf/5pdrGLi8vbhZH8/kbZuRMaNjQfP/qoOaZOvuUlUJsNYn6E01vN4+cVdOHOHC5mMulVDmr8RwdmEUeGzXyfuORS3nJ7PyXsgx0vm58VJUMgoCm4ZX5WnIYSdfL0WeF0Tfe6descnru4uBAQEICnp6ezq3KKh4cHDRo04Oeff3ZIujdu3EjnzvoRJVIYArwDmHl3zn0IK1Uya28SEmDXLjhxAg4eNGsovL3NK81lCrCC73pxdXElwFuDFxUl5fzKMb/3fLrM7UKLmS2IS4ljXIdxSrhz4OvhS4dqHa53GOIkd1d3nmv7XN4WdnEFlxxGj8wp4cipuVJQlqTaemFgK1evi7cEvJ4JdW5yS6Yu/VHdPsp8nJFycQwRF3dzfJE89vu/5vK6b11/h6Mr4NBcc7wAVy9zIFcjA3wqF+ggrt27m0n32bMQFZW9Vvvs2Ytj3lytUqXM3xgpKeb4LVlb1Dktr2U3qIP5J0WbxcVxiKq88q8NbReaj20Z5gVH+2dFiTzfHtXppLtSpUrOvqTADB48mOeee46QkBCaNGnCokWLOH78OPfdd991i0nkRufvb9Zoi/yXhN0Uxk+DfyIuJQ4Xiwu317r9eock8t+Sn2TZ1dP8+69zdt/cvP+7Sfal8rpvJevbByAtbOHhZreVxYvh/vvNlm833WQOvHnkiNmdYuPGgtlWlSowbx48/rjZVa5lS7jzTvNCf1KSeaeQ1q3hkUcKZntyA8nLe8vFDTxKAiWvuOilnE66ATZt2sSnn37KgQMHsFgs1KhRg0GDBtGmTZv8rC7PunfvzpkzZ5g6dSqnTp2iTp06zJgx47peCBARkf+mXJvbiohIgXF1hcceM/8y7zgRF2f2uS5Xzrw4X5B694YePcxE/rffICbG7Mvt6ws332zebUPkv8bppHvevHmEh4dz++23M3DgQAD++OMPhg4dypgxY3jwwQcLPMisHnjgAR544IFC3YaIiIiIiDjH1RUCA82/wt5O+/bmn0hR4HTSPX36dMaOHZstuW7atCkfffRRoSfdIiIiIiIiIkWF0/c7SExMpH0Ol5Xatm1LUlJSgQQlIiIiIiIiUhw4nXSHhYXx7bffZpu+bt06brnllgIJSkRERERERKQ4yFPz8jlz5tgf16xZk2nTprF161YaN24MmH26f/vtNwYP/o/fz1BERERERETkGspT0v3pp586PC9RogT79+9n//799mn+/v5ERUUxbNiwAg1QREREREREpKjKU9K9fv36wo5DREREREREpNhxuk+3iIiIiIiIiORNnmq6w8PDeeqpp/Dx8SE8PPyyy44dO7ZAAhMREREREREp6vKUdP/1119kZGTYH+fGYrEUTFQiIiIiIiIixUCeku65c+fm+FhEREREREREcudUn+6MjAzq16/P3r17CyseERERERERkWLDqaTbzc2NihUrYrPZCiseERERERERkWLD6dHLH3/8cSZNmsTZs2cLIRwRERERERGR4iNPfbqzmjt3LocPH6Z9+/ZUrFgRHx8fh/lLly4tsOCy+uijj/jhhx+Ijo7G3d2dX375pVC2IyIiIiIiIlJQnE66O3fufF1GKU9PT6dr1640btyYyMjIa759EREREREREWc5nXQ/+eSThRHHFY0YMQKAJUuWXJfti4iIiIiIiDjL6T7dnTt35syZM9mmx8fH07lz5wIJSkRERERERKQ4cLqm++jRozmOXp6WlsbJkycLJKjCZLPZMAwDAKvV6vBfpDhR+ZbiTOVbijuVcSnOVL6lOHF1db3iMnlOutetW2d//OOPP+Lv729/brPZ2LRpE5UqVXIqwIiICKZMmXLZZSIjIwkNDXVqvZeza9cu0tPTHabt3LmzwNYv8l+j8i3Fmcq3FHcq41KcqXxLcdCsWbMrLmMxMqt9r6Bu3bq5znNzc6NSpUqMGTOGW265Jc8BxsXF5dhUPavKlSvj6elpf75kyRLefPPNfI9efmlN986dOwkNDc3TFQqRokTlW4ozlW8p7lTGpThT+ZbipEBrunfv3g1AWFgYkZGRBAQE5D+yCwICAgpkPc5wccnejd3V1VVveCm2VL6lOFP5luJOZVyKM5VvuVE4PZDaiBEj8PPzyzY9LS2NZcuWFURMOTp27BjR0dEcO3YMq9VKdHQ00dHRJCUlFdo2RURERERERK6G00n32LFjSUhIyDY9KSmJsWPHFkhQOfnggw/o2bMnERERJCcn07NnT3r27MmuXbsKbZsiIiIiIiIiV8Pp0csNw8BisWSbfvLkSYfB1QraW2+9xVtvvVVo6xcREREREREpaHlOunv27InFYsFisTBo0CDc3C6+1Gq1cuTIEdq3b18oQYqIiIiIiIgURXlOum+99VYAoqOjadeuHb6+vvZ57u7uVKpUiapVqxZ8hCIiIiIiIiJFVJ6T7uHDhwNQqVIlunfvbr+NV0JCAitWrGDWrFns3r2b6OjowolUREREREREpIhxuk93r169ANi0aRNRUVF8++23VKxYkdtuu40JEyYUeIAiIiIiIiIiRZVTSfeJEydYsmQJUVFRpKSk0K1bNzIyMoiIiKBWrVqFFaOIiIiIiIhIkZTnpHvIkCH8+uuvdOrUiZdffpn27dvj6urKwoULCzM+ERERERERkSLLYhiGkZcF69evz4ABA+jfvz/Vq1e3T2/QoAHLly9XTbeIiIiIiIjIJVzyuuD8+fNJSkqiT58+9OvXj3nz5hEXF1eYsYmIiIiIiIgUaXmu6c6UkpLCqlWriIqKYufOnVitVsaMGUOfPn3w8/MrrDhFREREREREihynk+6sDh48SGRkJCtWrCA+Pp42bdowbdq0goxPREREREREpMi6qqQ7k9Vq5bvvviMyMlJJt4iIiIiIiMgFBZJ0i4iIiIiIiEh2eR5ITURERERERESco6RbREREREREpJAo6RYREREREREpJEq6RURERERERAqJkm4RERERERGRQnJDJ93z588nLCyM0NBQevfuzS+//HK9QxJxyvTp0+nTpw9NmjShdevWDBs2jIMHDzosYxgGERERtGvXjoYNGzJgwAD27dt3nSIWyb/p06cTHBzMhAkT7NNUvqWoO3nyJKNGjaJVq1Y0atSIHj16sGvXLvt8lXEpqjIyMnjvvfcICwujYcOGdO7cmSlTpmCz2ezLqHzLjeKGTbpXr15NeHg4jz/+OMuWLaNZs2YMGTKEY8eOXe/QRPJs69atPPDAAyxevJjZs2djtVp5+OGHSU5Oti8zc+ZMZs+ezbhx44iMjCQwMJDBgweTmJh4HSMXcc6OHTtYtGgRwcHBDtNVvqUoO3fuHP3798fd3Z2ZM2eyatUqxowZQ4kSJezLqIxLUTVz5kwWLlzIuHHjWL16NaNHj2bWrFnMnTvXYRmVb7khGDeovn37GuPGjXOY1rVrV2PixInXKSKRq3f69GmjTp06xtatWw3DMAybzWa0bdvWmD59un2Z1NRUo1mzZsaCBQuuV5giTklMTDRuu+024+effzYefPBB44033jAMQ+Vbir7/+7//M/r375/rfJVxKcqGDh1qjB071mHa8OHDjVGjRhmGofItN5YbsqY7LS2NP//8k3bt2jlMb9u2Ldu3b79OUYlcvYSEBABKliwJwJEjR4iJiXEo6x4eHrRo0UJlXYqM8ePH07FjR9q0aeMwXeVbirr169cTEhLCiBEjaN26NT179mTx4sX2+SrjUpQ1a9aMzZs38/fffwOwe/dufv31Vzp27AiofMuNxe16B3A9nDlzBqvVSpkyZRymBwYGEhMTc52iErk6hmEQHh5Os2bNqFOnDoC9POdU1tWVQoqCVatW8ddffxEZGZltnsq3FHX//vsvCxYsYPDgwTz22GPs2LGDN954Aw8PD3r27KkyLkXakCFDSEhIoFu3bri6umK1Whk5ciR33nknoM9wubHckEl3JovF4vDcMIxs00SKivHjx7N3714+//zzbPNyKusi/3XHjx9nwoQJfPLJJ3h6eua6nMq3FFWGYRASEsIzzzwDQP369dm/fz8LFiygZ8+e9uVUxqUoWr16NStWrGDSpEnUqlWL6OhowsPDCQoKolevXvblVL7lRnBDJt2lS5fG1dWV2NhYh+mnT58mMDDwOkUlkn+vv/4669evZ968eZQvX94+vWzZsgDExsYSFBRkn66yLkXBn3/+yenTp+ndu7d9mtVqZdu2bcyfP5+vv/4aUPmWoqts2bLUrFnTYVqNGjVYs2aNfT6ojEvR9M477zB06FDuuOMOAIKDgzl27BjTp0+nV69eKt9yQ7kh+3R7eHjQoEEDfv75Z4fpGzdupEmTJtcpKhHnGYbB+PHj+eabb/jss8+oUqWKw/zKlStTtmxZh7KelpbGtm3bVNblP+/mm29m5cqVLFu2zP4XEhLCXXfdxbJly6hSpYrKtxRpTZs2tfd3zXTo0CEqVaoE6DNcirbz589nq8V2dXW112SrfMuN5Ias6QYYPHgwzz33HCEhITRp0oRFixZx/Phx7rvvvusdmkievfbaa3z55ZdMnToVX19fe/8of39/vLy8sFgsDBw4kOnTp1O9enWqVavG9OnT8fLysvepEvmv8vPzs49PkMnHx4dSpUrZp6t8S1E2aNAg+vfvz7Rp0+jWrRs7duxg8eLFjB8/HkCf4VKk3XLLLUybNo2KFSvam5fPnj2bPn36ACrfcmOxGDdwx4n58+cza9YsTp06RZ06dRg7diwtWrS43mGJ5Nml9yzOFB4ebm+SaxgGU6ZMYdGiRZw7d45GjRoxbty4bMmMSFEwYMAA6taty4svvgiofEvR99133/Huu+9y6NAhKleuzODBg7nnnnvs81XGpahKTExk8uTJrF27ltOnTxMUFMQdd9zBE088gYeHB6DyLTeOGzrpFhERERERESlMN2SfbhEREREREZFrQUm3iIiIiIiISCFR0i0iIiIiIiJSSJR0i4iIiIiIiBQSJd0iIiIiIiIihURJt4iIiIiIiEghUdItIiIiIiIiUkiUdIuIiIiIiIgUEiXdIiIiIiIiIoVESbeIiIiIiIhIIVHSLSIiIiIiIlJIlHSLiIiIiIiIFBIl3SIiIiIiIiKFREm3iIiIiIiISCFR0i0iIiIiIiJSSJR0i4iIiIiIiBQSJd0iIiIiIiIihURJt4hIMTVnzhyCg4O58847c5y/f/9+IiIiOHLkSLZ5K1eu5NNPP3Vqe0eOHCE4OJglS5bYp0VERBAcHExcXJxT67qcy8U9ZswYwsLCCmxbhWXdunUEBwfTqlUr0tLSclxm7ty5dOnShZCQEIKDg4mPj2fatGmsXbv2msYaFhZGcHAwAwYMyHH+smXLCA4OJjg4mC1btji9/t9++42IiAji4+OzzRswYEC27R45coShQ4fSsmVLgoODmTBhQq7rTk5OZsaMGdx99900bdqUJk2acOutt/LUU0+xdetWp2MF83g8+uij+XrtpZzZ95SUFCIiIvJ1jLPKrQxt2bIl3+dQREQuT0m3iEgxFRUVBcC+ffv4448/ss3fv38/U6ZM4ejRo9nmffnll8yZM8ep7QUFBbFo0SI6deqUr3jz6nJxDxs2jClTphTq9gtCZGQkAGfPns0xAYqOjuaNN96gVatWfPrppyxatAhfX1+mT59+zZNuAF9fX7Zt28Y///yTbV5UVBR+fn75Xvf27duZMmVKjonnK6+8wiuvvOIwLTw8nD/++IM333yTRYsW8b///S/H9VqtVh566CGmTZvG7bffzuTJk/nggw/43//+R2JiIr/88ku+Yy4ozux7SkoKU6ZMyffFgky5laEGDRqwaNEiGjRocFXrFxGR7NyudwAiIlLwdu7cye7du+nUqRPff/89kZGRNGrUqFC2ZbVasVqteHh40Lhx40LZRl5VrVr1um4/L2JiYtiwYQM333wz27dvJzIyku7duzsss2/fPgDuueceGjZsWKjxZD1/uWnWrBl79+4lKiqKkSNH2qf/888/bNu2jX79+rF48eICj61WrVrZpu3bt4+GDRty6623Xva127ZtY/v27bz55pv06dPHPr19+/Y8+OCD2Gy2Ao+3IOW074XJz8/vur9/RUSKK9V0i4gUQ5k1qc8++yxNmjRh1apVpKSk2OcvWbKEp556CoCBAwfamwcvWbKEAQMG8P3333P06FH79ODgYOBiE/KZM2cydepUwsLCCA0NZfPmzTk2L8904sQJhg8fTtOmTWnWrBmjRo3K1uQ8ODiYiIiIbK8NCwtjzJgxV4wbcm5enpqayqRJkwgLCyMkJIT27dvz2muvZatdzGw2vGHDBnr16kXDhg3p2rWr/VhmSklJ4e2337bve8uWLenduzdffvnlFc6KaenSpWRkZPC///2PLl26sGnTJoda+wEDBjB69GgA+vXrR3BwMGPGjCE4OJjk5GSWLl1q3++szY9jYmIYN24cHTp0ICQkhLCwMKZMmUJGRoZ9mcudv8txcXGhZ8+eLF261CFZjYqKokKFCrRu3TrH161bt457772XRo0a0aRJEwYPHsz27dvt8yMiInjnnXcA6Ny5c7Zm6lmbWGc2fz58+DAbNmywL5tTNwMwWxEAlC1bNtd9yhpHZhnPasmSJblu49tvv+Wuu+4iNDSUzp07Z2sZYrPZmDp1KrfffjsNGzakefPm3HXXXXz22WdO7/uRI0fsx3jKlCn2ZTPfF7l1q7h0vy5XhnJrXn6lc5h1O/v27eOZZ56hWbNmtGnThrFjx5KQkJAtLhGRG41qukVEipnz58+zatUqQkNDqVOnDn369OGll17i66+/plevXgB06tSJZ555hnfffZdx48bZm5RWrVqVhg0b8vLLL/Pvv//m2lR77ty5VK9eneeffx4/Pz+qVat22ZiGDx9O165due+++9i/fz+TJ0/mwIEDLF68GHd39zzv2+XizolhGAwbNozNmzczdOhQmjdvzp49e4iIiOD3339n0aJFDjW8u3fv5u2332bIkCEEBgbyxRdf8OKLL1KtWjVatGgBmM2bV6xYwdNPP029evVISUlh79699iTvSqKioihbtiwdOnTAy8uLL7/8kqVLlzJ8+HDAbFb85Zdf8tFHHxEeHk6NGjUICAjgvvvuY9CgQbRq1Yphw4YB2Jt1x8TE0K9fP1xcXHjiiSeoWrUq27dv56OPPuLo0aOEh4c7xODs+QPo06cP06dP58cff6Rjx45YrVaWLl1K3759HRLYTCtXrmTUqFG0a9eOSZMmkZaWxscff8yAAQP49NNPad68Of369ePcuXPMnTuXKVOm2BPknGp5M5s/Dx8+nCpVqvD8888DZreGnISEhODu7s6ECRM4e/YsN998c67LOis6Opo333yT4cOHExgYyMqVK5kwYQLp6ek8/PDDAHz88cdMmTKFxx9/nObNm5ORkcHBgwftSagz+x4UFMTHH3/MI488Qt++fenXrx8AAQEBTsW9aNGiXMtQTvJyDrN68skn6d69O3379mXv3r1MmjQJIFv5ExG50SjpFhEpZr7++msSEhLo27cvAN27d+fNN98kMjLSnnQHBATYE61atWo5NCsNCAigRIkSl20u7unpyaxZsxwS5txqHAG6dOnCc889B0C7du0oU6YMo0aN4quvvuLuu+/O875dLu6c/PTTT/z000+MHj2aRx55BIC2bdtSvnx5Ro4cybJly7jnnnvsy585c4YFCxZQsWJFAFq0aMHmzZtZuXKlPenevn07bdu2dehLnNd+7L/88guHDh1i6NChuLq6cvPNN1O5cmWWLFnCE088gcVioVatWvaLCLVr1yY0NBQwLyy4uLgQEBCQbb8jIiI4d+4cq1atssfeunVrvLy8ePvtt3n44Ycdkrmczt+VVK1alRYtWhAVFUXHjh356aefOHXqFL1792bXrl0Oy9psNt555x3q1KnDzJkz7Ul5x44d6dKlCxMnTmThwoWUL1+eChUqAFCvXj0qV66c6/Yzmz97eHhQokSJK577ypUr8+qrrzJhwgR7y4GyZcvStm1b+vXrly1hdMapU6dYtmwZdevWte9XXFwcU6dO5f7778fb25vffvuNOnXq8OSTT9pf1759e/tjZ/bdw8PDfoGpfPny+W4G3rhx41zL0KXyeg6z6tu3r/191qZNGw4fPkxUVBRvvvkmFoslXzGLiBQHal4uIlLMREVF4eXlxR133AGYg2B17drVnvAVhLCwMKcStrvuusvhebdu3XBzcyv0kZIzm0337t072/Z9fHzYtGmTw/R69erZk1Ywk9Pq1atz7Ngx+7TQ0FA2bNjAxIkT2bJlC+fPn89zPJlN1TP7GFssFnr16sXRo0ezxeKM77//nlatWhEUFERGRob9r0OHDgDZBt9y9vxl6tOnD+vXr+fMmTNERkbSqlWrHJPFv//+m1OnTtGjRw+HWnBfX19uu+02/vjjD4fuDoWlb9++bNiwgUmTJjFgwAAqVKjAihUrePDBB/n444/zvd7atWvbE+5Md955J4mJifz555+AWU52797Nq6++yo8//khiYuJV7cu1lp9zeGkT9+DgYFJTUzl9+vQ1iVlE5L9KSbeISDFy+PBhtm3bRseOHTEMg/j4eOLj4+natStwcUTzq5VbP9m8Lu/m5kapUqXy3CQ7v86ePYubm1u2ZrgWi4XAwMBs2y9VqlS2dXh4eJCammp//tJLLzFkyBDWrl3LwIEDadmyJcOGDbviBY3ExES+/vprGjZsSEBAgP3cdOnSBYvFkq3vuDNOnz7Nd999R4MGDRz+Mi+8nDlzxmF5Z89fpttvvx1PT08+/fRTvvvuO3triktlbi+n7QQFBWGz2XIcsbsw+Pv7c+edd/LSSy/xxRdfsGLFCgIDA3n//ffzHUNgYGCu0zLL1KOPPsrzzz/PH3/8wZAhQ2jVqhWDBg1i586d+d6Xayk/5/DS909m1w1nLkyJiBRHal4uIlKMREVFYRgGa9asYc2aNdnmL126lKeffhpXV9er2o6zTUVjYmIoV66c/XlGRgZnz551+JHu4eGR4z2rL00YnVGqVCkyMjKIi4tzSLwNwyA2NtbedNsZPj4+jBgxghEjRhAbG2uvSX3sscf4+uuvc31d5mB2O3bssDdVz+rbb7/l3LlzlCxZ0umYSpcuTXBwME8//XSO8y/ty5zfpr7e3t7ccccdzJgxAz8/P2677bZc4wHzvF/q1KlTuLi4UKJEiXzFcLVq165N9+7d+eyzzzh06BANGzbE09MTgLS0NIc+/rmVvdjY2FynZZZpNzc3Bg8ezODBg4mPj2fjxo289957PPLII3z//fd4e3sX2D4Vxnvnv3wORUSKGiXdIiLFRObAVlWrVuWNN97INv/777/nk08+YcOGDdxyyy2XrYXy8PAo0NqplStXEhISYn/+1VdfkZGRQcuWLe3TKlWqxJ49exxet2nTJpKTk7PFllvcl2rdujUff/wxK1ascOiDvWbNGpKTk3MddTuvAgMD6d27N7t37+azzz4jJSUl12QqMjISX19fPvzww2wDj+3atYt33nmHlStX8uCDD+a6vdzOS6dOnfjhhx+oWrVqvpJ2Z/Tv35/Y2FhatmxpT1YvddNNN1GuXDm+/PJLHn74YXuSn5yczDfffEPjxo3txynzfGZtTVAQzpw5g6+vb463Qjt48CBw8WJEpUqVAHMgvay3aPvuu+9yXPe+ffvYvXu3QxPzL7/8El9f3xzvc12iRAm6du3KyZMnefPNNzl69Ci1atVyat8vV+4rV67M6dOniY2Ntde4p6Wl8dNPP+W4nry8d5w5hyIicnlKukVEiokNGzZw6tQpRo0aRatWrbLNr127NvPmzSMyMpJbbrmF2rVrA7B48WJ8fX3x9PSkcuXKlC5dmjp16vDNN9/w+eefExISgsViyVetcKZvv/0WV1dX2rZty759+5g8eTJ169alW7du9mV69OjB5MmTmTx5Mi1btmT//v3MmzcPf3//bPuRW9yXatu2Le3atWPixIkkJibStGlT9uzZwwcffED9+vXp0aOH0/vSr18/OnXqRHBwMCVLluTAgQMsX76cJk2a5JqE7N27lx07dtC/f/8cE/2mTZsye/ZsIiMjL5t016lTh61bt7J+/XrKli2Lr68vNWrUYMSIEWzcuJH77ruPAQMGcNNNN5GWlsaRI0fYsGEDr732GuXLl3d6X3NSr149pk6detllXFxcGD16NKNGjeLRRx/l3nvvJS0tjVmzZhEfH8+zzz7rsE8An332Gb169cLNzY2bbrrpsqNq58WWLVuYMGECd911F02bNqVUqVKcPn2aVatW8eOPP9KzZ0/7MenYsSOlSpXixRdf5KmnnsLV1ZWlS5dy/PjxHNcdFBTE448/zvDhwylbtiwrVqzg559/ZtSoUfYy8Nhjj1G7dm1CQkIICAjg6NGjfPbZZ1SqVMk+GKAz++7n50elSpVYt24drVu3pmTJkpQuXZrKlSvTrVs3PvjgA0aOHMkjjzxCamoqc+fOxWq1ZltPbmXoUs6cQxERuTwl3SIixURkZCTu7u72QbouFRAQQJcuXVizZg2xsbFUqVKFF154gTlz5jBw4ECsVivh4eH07t2bgQMHsm/fPt577z0SEhIwDCNbLbQzIiIiiIiIYMGCBVgsFsLCwnjhhRccaiEffvhhEhMTWbp0KZ988gkNGzZk8uTJ9lsbZbpc3JeyWCxMnTqViIgIlixZwrRp0yhVqhQ9evTgmWeeybEW9Epuvvlm1q9fb6/ZLleuHD179uSxxx7L9TWZ/bXvu+++HOe7u7vTq1cvZsyYYR+IKycvvvgir732Gs888wwpKSm0bNmSuXPnEhQURGRkJFOnTmXWrFmcPHkSX19fKlWqRPv27a9LM+C77roLb29vZsyYwciRI3F1daVRo0bMmTOHpk2b2pdr1aoVjz76KEuXLuWLL77AZrMxZ86cHC8cOaNx48b06dOHLVu2sGLFCs6cOYOnpye1atXi5Zdfpn///vZl/fz8mDlzJm+++SajR4/G39+ffv360b59e1566aVs665Xrx69e/cmIiKCQ4cOERQUxNixYx1aU7Rq1Yo1a9bwxRdfkJiYSNmyZWnTpg3Dhg2zD2Ln7L5PmDCBd955h8cff5y0tDR69erFW2+9RZUqVfjwww957733GDFiBGXLlmXw4MHExcVlu+1fbmUoJ3k9hyIicnkWwzCM6x2EiIiIiIiISHGk0ctFREREREREComSbhEREREREZFCoqRbREREREREpJAo6RYREREREREpJEq6RURERERERAqJkm4RERERERGRQuL0fbqPHz+OxWKhfPnyAOzYsYOVK1dSq1Yt7r333gIPUERERERERKSocrqm+9lnn2Xz5s0AxMTEMHjwYHbu3Mm7777LlClTCjzAwmSz2dixYwc2m+16hyJS4FS+pThT+b6y9ze/j+U1C5bXLDz+5ePXOxwA3tv0nj2m7/7+7nqH85+mMi7Fmcq33GicTrr37dtHw4YNAfjqq6+oXbs2CxcuZNKkSSxdurTAAyxMhmGQnp6OYRjXOxSRAqfyLcWZyjeQGgv/fAHnonOcHZsce/FxSmyOy1xrp5JO2R/HJMdcx0j++1TGpThT+ZYbjdPNyzMyMvDw8ABg48aNhIWFAVCjRg1iYvQFKiIi4jSL5crLZP1xenobfHcrpMebz+uOgsbvOKzHIelOzkfS7WxMeZA10Y5J0m8GERG5MThd012rVi0WLlzIL7/8wsaNG+nQoQMAp06dolSpUgUdn4iIiGSVkQKbB15MuAF2T4Td7zosdtVJdz78/DMMHgxPPw1//519vkPSrZpuERG5QTiddI8aNYpFixYxYMAA7rjjDurWrQvA+vXr7c3ORUREpJDsnQzxu7NP3zPJ4em1TrqXL4d27eDTT2HyZGjaFH77zXGZrM3Lsz4WEREpzpxuXt6qVSs2b95MYmIiJUuWtE+/55578Pb2LtDgREREJAvDgIOf5jLPcUCiS5NuwzCw5KXJeD4cOACDBjlOO3sW+vWDv/4CT09zWtYm5arpFhGRG4XTSTeAq6urQ8INULly5QIJSERERHJxbhck7MnTolmT7gxbBvGp8ZT0KnmZV+TfG2/AuXPZpx88CImJWZJu9ekWEZEbkNNJd2xsLG+//TabNm0iLi4u26iD0dE5j6IqIiIiVynmxzwtZhiGPeku71eeE4kniEmOKZSk+8wZWLjwysulZqQSn3qxH7pqukVE5EbhdNI9ZswYjh8/zrBhwwgKCiqMmHK1bds2Zs2axa5du4iJieHDDz/k1ltvvaYxiIiIXDcxP1987FMZbt0Iaafh5/sg/ax91tnzZ7EaVnzcfajkX4kTiSeITY6lVkCtAg/pq6/g/Pk8hH4hyXZzcSPDlqE+3SIicsNwOun+9ddf+fzzz6lXr15hxHNZycnJBAcH07t3b5588slrvn0REZFCkbXVWNZ+15fekis+S2uy1vPAt4r513EV/NDNPiuzlruMdxnK+JRxmFbQMa1d6/iyQYOgbl14913IeifRzObkNUrXYO/pvZxOPo3VZsXVxdW5uERERIoYp5PuChUqXLcb2Xfs2JGOHTtel22LiIhcd8lHzf8l6kFQlu9D/5pQ/wX708wEO8A7gADvAIdpBe3nLJXvd98Nn3wCLi7Qpw80b35xXmbNdgW/CpxKOsXZ82eJS4mjrG/ZQolLRETkv8LppPuFF15g0qRJvPbaa0Vy8DSbzWa/aGC1Wh3+ixQnKt9SnBXr8u3re/Fx1v2zpUN6Erj4QtlOjvMAqtxvn3Y66TS+br5U9KtIeZ/y+Lr5cib5TP6PVy4x2Wxw6tTF2RMnmhXhVivUqAFvvWUuY7Vmicm3InH+caRnpHMy4SQBXgH5i6mYK9ZlXG54Kt9SnLi6XrnFlsVwstq6RYsWpKSkYLVa8fLywt3d3WH+1q1bnYsyn4KDg/PVp3vHjh2kp6cXUlQiIiIiIiJyo2jWrNkVl8lXTXdRFhIS4lDTvXPnTkJDQ/N0hUKkKFH5luKsWJfvrLfkzHofrtNb4bsu5uO2UVAh94vOkzdPZtz343io8UPUKVOHMevGMKDhAKZ0n1KgMW3dCl0uhDR4MLz/fu6reO3713h387s8e/Oz7IrZxZoDa/i0x6f0qtcrfzEVc8W6jMsNT+VbbjROJ929ehXtL0cXF5ds01xdXfWGl2JL5VuKs2JZvpOSLj7Oum/nj4LtwrySNR3nXeJk8kmSMpLw9/KnlE8pkjKSOJZ0LP/HKpeYDh26OKt69cuGxLGkYyRlJFHKpxT+Xv4kZSRxKuVU8Tt/BaxYlnGRC1S+5UbhdNIN5tWptWvXcuDAASwWC7Vq1SIsLExvGhERkcJy/uTFx+4lLruoffRynzKU8c7n6OV5cPjwxccVK15+2cxbhgX6BBLoEwig24aJiMgNwemk+/DhwwwdOpSTJ09y0003YRgG06dPp3z58syYMYOqVasWRpwAJCUl8c8//9ifHzlyhOjoaEqWLEnFK33bi4iIFGW21IuPXX0uu2hsysVbhhXm6OVHjlx8XKnS5ZfNvGVYoE+g/UJA5jQREZHizOmk+4033qBKlSosWrSIUqVKAXDmzBlGjx7NG2+8wYwZMwo6Rrtdu3YxcOBA+/Pw8HDAbPL+1ltvFdp2RURErjtblkFAXb3N/8fXwN9zLk5v8BKUrGdPZsv4XMV9uvMgJeXi4woVLr9sZq121pruzNpvERGR4szppHvbtm0OCTdA6dKlGTVqFP379y/I2LJp1aoVe/bsKdRtiIiI/CfZ0sz/rl7gcqE7V/weOPz5xWVqDQXqOdynO7NW+UzKGTJsGbi55KtnWY7S0i4+znpXsZyoebmIiNyoso8qdgUeHh4kZR1Q5YKkpKRstw8TERGRAmLYzP+WKyfN9j7d3mUo6VUSF4sLBgZnUs4UaEipWVq8e3hcZrmMVOJT482YfMqopltERG4oTifdnTp1Yty4cfzxxx8YhoFhGPz++++8+uqrhIWFFUaMIiIi4nLhwrY1BS7c+jInGbYMzpw3k+syPmVwsbhQ2qs0UPBNzLOGYbHkvlxmcu3u4o6/h7+9ybv6dIuIyI3A6aT7pZdeokqVKtx7772EhoYSGhpK//79qVq1Ki+++GJhxCgiIiKZSbdhdezffYm4lDj748xk257kFnDNctba7fTcQ3IYRM1isdhruk+nnMZqsxZoTCIiIv81TnfsKlGiBB999BGHDh3i4MGDGIZBrVq1qFatWmHEJyIiIgAuWTJcawq45tyeO7M2283FjWe/eRbA3qy8oGu6PT0vPs46qNqlsvbnBuwjqtsMG3EpcZT1LXv5qnK4bO2+iIjIf1m+R1OpXr061atXL8BQREREJFdZ781tTQZKQpW+ENAU1nYAzKQ0M7HOsGUwectkh1UUZtJ94gTcdFPOy2UOmPb32b9p+0lbACxYMDCISY4xk24REZFiKk9Jd3h4OE899RQ+Pj7223TlZuzYsQUSmIiIiGThXfHi45QT4F0BfCqafxaLvSb4col1QSfd5ctffHzsWO7LZTYvT0xLZOO/G7PPU84tIiLFWJ6S7r/++ouMjAz7YxEREbnGsibdCXsgoEmOizmTdCcmwhdfwIoVEBcHgYHQvj0MHAgBAVcOKWvPsssm3ZfpS26fl9OobLk0KTcM2LLFjDs21oy1XTvo2hXcCu6OaCIiIgUiT19Nc+fOzfGxiIiIXCPelS4+jt+d62KXGxE8a9L99ddw331w7pzjMkuWwObNsHDhlUPK2svs779zX+5yMTl7r+4//4T774cdOxynv/029O8Pn3+e8+tERESuF6dHLx87diyJiYnZpicnJ6tpuYiISGHxKA2uXubjc7tyXSwvNd379kGfPmbC7eoKgwbB3LkQEQFduuR9zLKsNd1btmSfbxhgtcKp5NwTa2duG3bqFNx668WEu107GD8eRo2CBg0gKSnPqxIREblmnE66ly1bRmpqarbp58+fZ/ny5QUSlIiIiFzCYrnYxPzEWrCm5bhYbEruSXdmU+4ZMyA52Zz24Yfw6afw4IMwfDh88w28807eQqpcGVwu/JLYsgViLsmfly+Hs2cvn1g7cxuzWbPMAdsAXnwRfvwRXn4Z/u//YOdOeOWVPK9KRETkmslz0p2YmEhCQgKGYZCUlERiYqL979y5c2zYsIGAvHQAExERkfzxqWr+Tz8Hf75uPrZZHaqmM2uz6wXW49Yat3JrjVtpXrG5fZ5hXGw6XrEiPPxw9s3k9S6g7u5m4g1mjXbWZP3sWXjmGfPx5RJrZ5qXz59v/i9ZEi5tXGexQNOmeV6ViIjINZPn4UaaN2+OxWLBYrFw++23Z5tvsVh48sknCzQ4ERERySKgBZz63nz815uQkXihf3f2pPuVjq9wb8i9AOw4uYNG0xoRmxxLUhIcOWIu26DB1Q881qIF/POP+XjiRLOfd716MGbMxX7emYn1l/2/pEFQAwC++PMLnlv7XJ5rujMyzP7cmXH7+l5d3CIiItdKnr9q58yZg2EYDBo0iIiICEqWLGmf5+7uTsWKFSlXrlyhBCkiItdPUhKcPGmObm0YEBRk1m66ul5YID0BTq6HlKOQGgcuHubtrEo3gVIh1zX2Yiew9cXHhg32vJ9tkcykO8D7YuuzzMeJaYkkp50HzL7hBTHS9623QlTUxefDhzvOT7WmEp8aD0BouVCqljRr64MDg4G89+m+cBMVALy88h+viIjItZbnr9uWLVsCsG7dOipWrIgl83Ye19j8+fOZNWsWMTEx1K5dmxdeeIHmzZtfl1hERIorwzD7/c6ZY45kXaECBAeDhwccP24m4cePGfDb07B/uploV+4JfjdBRiqc2AmHP4dOX13vXSlegjqCizvY0nNdJDPpLuNTxj6tjPfFx2mupwkMrERsLOzebZ7rq/lK79bN4Tbh2cRl6WMe6BOY7XFea7q9vMz7gp84AXv3Xn3cIiIi14rT17iPHTvGscvcjLNFixZXFdDlrF69mvDwcF555RWaNm3KwoULGTJkCKtWraJixYpXXoGIiOTJpEkwerT5eOpUePTRiwNmgXl/Z/6eA3s/AIsL3L4DStSB9ESzyXMmW7qZJBYkmxXOX0jU4veCuzd4BoB7iYLdzn+RZwBU6ApHV+Y4+7zNrM0Gx0Tb290bbzdvUjJSOJ0SS79+lfjoI7P595Il5kjmWZ07Z/abzotq1czEe/XqnOfHpJhNy73dvPFx97FPz0y6Y5NjsRk2XCxXHmamXz9zhPUjRyAy0nyeVVKSmp2LiMh/j9NJ94ABA7JNy1rrHR0dfXURXcbs2bPp06cP/S58y7744ov89NNPLFiwgGeffbbQtityJYYB6emQmmomJl5eWZreihRBa9ZcfPzgg44JN4CfH3Bwv/nE1Rf8apqPD8+HfVPh7IV7OnXbAaVCCyao49/AnxPMPsyV+4DrwxD7M9iSIOUElOsEFbKPOVLsBI/MOeku34XT3jXtT7PWdIPZxPxowlFik2MZMsRsyWC1mrcL++MP81ZhZ87AihWQknJx0LK8eOEF877fNpvj9BIlIMFqXiDJWsud9bnNsBGXEpdtfk4eeQQ++shsav7QQxAdDbffDvHxZtJ/7BgsWpT3uEVERK4Fp5Pubdu2OTxPT08nOjqayZMnM3LkyAIL7FJpaWn8+eefDB061GF627Zt2b59e6Ft95rLvICRQzu9DFsGS6OXsuvULvw9/bFgYWCjgZT1LXuNg7x+zqSc4ev9X2M1rFhtVtpWbUutgFrXJZZp0+Dzz80alwcfhDp1zETEYjFvxePtDT17XpfQRPLGsIE1FQwrYAOLK1jcwcWd8eMt/PyzmXzdd585UnTdumbz8mPH4Lff4P7eT8LBWZByHH6+B+o+AxXvgMA28FVDp0LZs8dM/GJiIDAQAgLMC1cWi5nIVagA9f9+yky4qz0ATT8wX5CeCOd+hXN/QfK/1z7pTjtnxpQaY95D29UL88Yghnl8S9YHzzJmnGmnzVYAtgxznsUVXD3Aqzx4lMr7NsvdAjWHwIGZF6f53gStPiUm3qxV9nD1wNfdscq3jE8ZjiYcJSY5hs5N4OOPYcgQs3b49dfNv0z33OPcYWjbFt580xw8LZOLC3zySe5JdymvUrhYXLAZNmKSYvKUdDdsaK7z4YfN1havvOJ4m7C7777kBYbNPN7YABez1UVhtkm/zHe4iBRfCQlw+LB54TIjw6x8cXExPwpsNvP7Uzd5urE5nXT7+/tnm9a2bVs8PDwIDw9nyZIlBRLYpc6cOYPVaqVMGccr94GBgcRcemPQy7DZbBjpSWBNwZpu3m/cmvAvuJk/NA1XH9ItrpxPP0+aNQ2LxYK7izup1lRcLC54unni7eaNa8xPcHSpOYBQ2fbgUQZST0FqLKQcA+/KUH80aWlmApZ24XaqWWs/DcN8AzrUIGW2i7Na7ZOsNiur963mw20fUtKrJLfedCsV/Suyet9q7px/J73q9uLhJg/j7e7N2fNncXdxx9PNE4vFgs2wkZKeApi1HO6uF/oCZiRl+bFtABawuIGrp3krmqMrIfkIlG4MXkHm8unnzGmu3hjVB5Hi4k5yWjIZtgxzvUC6NR1XF1d83H3wcfe52AoiPRGsKRd+/BjmDx9XT3DzM5umZsranvHcOfvDI/FH+Oz3z1j/93rql63PXcF3sfGfjczfMZ+bSt3Ew00eJjQolOOJxzkaf5TkjGTKeJchJT2F89bzlPQsSZUSVSjrUwZL+lkzDlcvMwYs5jGxpZuxufma8aUngi3VPFEuF06cLcNc3s2H2rX9aNwYSpUyByPKyDDPdeaHrMUC1rQ0sJ4HbBea2Gb5MW7YwGLB5upDQloiyenJeLl54enmic2wkZqRSpo1DX9Pf7zcvDiZeBILFiqWcOxKcSrxFOm2dAK8y3D6pBdxcWbxKV3aLEPHjllxdTVj8vSE0qUvvjYx0aydT0sz4/XyAn9/SEg7S1J6Ev4e/pTwuthk12qzciLxRI5xWK3mKUtNNS8++Puby59MPAlABf8KDq1iYpJiSLOmEeAdgLe7t3k80hPN45VZLi2u5nFz8+V0aiLnM85T0qskfh5+9vUkpydzJuUMnq6eBPqaP9pTUsy/9HQzLsMw33seHub+Wyxc2F7ChffBhfPq4g6uXqRbPDiVHJPjfp5JOUNyejIlPEuQZk3jfMZ5SnmVwtfjYoITlxxHSkaKPdb09IufA1kHg7JYzJiyfhFnnpP0dPOL2t3dvIDj58cV2QwbJxLMmxiX9y/v0Fz3dPLpi8fv6FI49qV5fCt0NT+/kv+F5KNw/gSUaU7Llo+yd69Z6/ndd2ZN5unT5rrKloX69eHee8vAbTvg30g48Q38+iyknQVXbyjXDUqGgEd5h8+znKSnw4IFsGPHxYtVl+ZFhgHWjmvh77lw5hesmx4GnxFYU2LMg+paEryrE5cQ43Ds7duwpnMq6RQuFhcq+Fe4sFIbpMdn+Sy0mEmwqzfnceF08mncXNwo5+c4SGhsUiyp1lRKe5bAJzrcrNUvVR8qdAOscPZ3SDxgrjuoo1m+/ok0P1uq9TcHmUs8ZB7zpL/BtzrUG3VxA1nbR+d27Bq+Ay4+cPJ7KNMKQsaBZzkSzx+kVqlalPUpi+2SaufQwFCSU5NJS0/DarUyYAB07Gge+9WrzfNbpgy0aWPWKDtsOg8xPfusudjs2ebn4nPPmYOszfk9jVqlahFaNhTrJa9tVq4ZZ86fIT4l3nFeDt+Fme6/H9q3N2979uWXZtwBAXDzzWYybv33a/hnMWQkQPku4BkEqSfN1hDJ/5itMhq8kPNxzSIlPYW4lDg8XD2yXdw+nnAcm2GjrG9ZPFw98hR3pqQkOH/e/DxwcTHLfIkSQNx2OPWd+X1buglW1xJACawH55q/L7zLkVixJ+fOn8PbzZsAn4sfHBm2DE4mnnQs32CuKyMFbGnmd62LJ7j7Od/lw2Y1j6c11XzfXPhcxs3bufVkyvyuz/I9nynz8zstzfwMNAzzOLm5QQl/A0+XePN7wuJqfodbXC5cyMowF3bzMf+cYU01L4hZ08zPAPcSjsfIZjXfz7a0Sz4rvMDFy7zolpFsxuN64ZjYMsB23nzsGWhOz0jM8p2T+fl84YKQuy+nzidd+D6/8L14QVJaEmfPn8XLzStbC5YrMgzz3KUnmfvkURJc3HP+TLwg6/fzmZQzGBiU8yuHm8vFtOHc+XMkpiVm+50AZhlPSLjkOzeL8+chKcl8jxw9arW/B9zcMuO98Fsg8zcjlgvl1/3CuXFMX+Ljze9YH58L7yXgRMIJrIaVQJ9APN087cueTcn5902eZKSANdksJy5uF94DPvzzj3nR8dAh884NPXpcPPSZ+56RccWvwsvGHX8+noS0BPw8/CjpdfG3ctbPE7j4O84t/STE/QLpZ8C3Brj7m8c0I9m8AOziBeXDLlwoNteTknIxTje3i+tyST9jln0Xj4vvLVuq+b7AMNfh5nP533Gu3sSe9ebIEXNbAQHmx6WLi2P5qFTpwgNbxoX3XHr295yrt3nB25ZmPnZxM7dlTTPjAnAvefHzyZp6Me8Bcz1uvvZ9d0p6PGScN9/DFjdzv939cM1D81aLYRTM5dgDBw7Qt2/fQqt1PnnyJB06dGDhwoU0adLEPv2jjz5i+fLlfP3113laz5aN3+Pmmf3CgYiIiIiIiIgzmjVrdsVlnK7p3r17d7Zpp06dYubMmQQHBzu7ujwrXbo0rq6uxMbGOkw/ffo0gYFXbpKWqcXNHci8zmC1Wtm5cyehoaF5ukIhV8GaeqGmO/3CZesLtepuGvHGWfGp8fZ73pb2Kp3rVe/cyvfx4/Djj2YzKA8P89ZP7u7m1UabzbyyedttZuuCHgt7cDblLEvvW8rEjRP5cu+XRHSL4IGGD/D999Crl/maJ54wr/JejmEYpF64yuju4o6rS/7eczbDxl8xf5Fhy8DF4kKDsg3yvS6z6WnahavpmFdxL9Ra/Rv/L21nteVc6jmGtRhGed/yTNo0iXOp5/j4ro/p16DfZVbsvKQk+Pdf87Zc58+bV34zWyi4uUHz5mZLhbzaH7efXad2AVDauzQdqna4bnedcHCZGi5nXO7z+5k1zzBr+yzqB9anb/2+/Hr8V1btW0VI2RDWD1rvUHtARvKFz6XMMuAOrj7g4sb249u5de6tWG1WRt48Ek9XTyZunkiGNYMl9y4h7Kawq9oHKRoOnjnI2HVjsRk2ktKSqOhfkQlhE7K1gLicL76A5cvNz9+OHaFKFfNzN7P7RFCQ2Tc9q3z/RjEMOLMdzv1p1u54lTc/2ywXWlrZ0qHype3wcxH3mzmWQloslKgL7pnVlhazlqt0IyhRO++xXQ+5tKDjlyfg0DzwrwOdfzBrrI4sNwdnNC5USTYYQza2C/Py+71zBTbDxifbP+Hj3z6mcfnG7Di5g6dbPc09ITn0+cht3w7ONu8sYXGFO/aCV6DZKubfSDj2FWBA20VQpgWJaYlM2jiJA2cO2Fspjmk7hiC/IIdNRf0Vxdq/1xLgHUC6NZ0nWj5BtZLVANi0Ce6806wlbdfObBlVv775u+Lvv+H3381WL5GR5h0TSpWCkBArISE7OXgwFJvNlfR0c0BHDw8uKz4eOnWCAwfMbn2LF8NNN12cb7Way2Rt1WcYBgYGFiy5fw/mdixPrIddr0Di31DveSjZwKyJT4s1W8sB1H4iW+371UpITWDnyZ0YGHi5edG0QlN77MeOwdq1cPCgWVtcvbp53DLvImGx5NDV5jIyMuDsWceabldX8/dgmTJXPieFLr+3qjj3J5zeYt7K1KeqWStuccVscZoBgW3N90am3MpA/G44tBCSD0GphmZrNdwAC5AB3nkbzNvpmu66detisVi49GWNGzdmwoQJ1KxZM5dXXr1+/frRoEEDXn31Vfu07t2707lz53wNpGa1Wvn9999p3Lixkm4pdgqifJ9KOsXApQOJS4nDalgZ224sfev3BWDdOjM5t9lg5Eh4992CjP6/IfKvSPp90Y9utbpxZ507eWL1EwxsNJDPen52vUO74V2ufKekp9B8ZnP2nt7L+oHrGbRsECcST/DL0F+oX7a+U9t566e3GLtuLMNbDKecXzle/u5lRt48kndvL4YFXv5T9BulgGT9sZ71t6st3ez2EbfVHJfCp7I5poXFxZxXsj7U+N81D9cpue1bwgH4/jZIPAh1noSq911IFDCbwicfgSq9CyyMtm1h40YzSTt92mzmfSX5Ld/btsGFuxjz1FPw/vv5izmb3I5lJlu62QXLmnShe8OF5uVeQTfGnTNuBFcqA1e7emeT7qNHjzo8d3FxISAgAE9nqmDyafXq1Tz33HO8+uqrNGnShEWLFvHFF1/w5ZdfUsneCSDv9IUmxdm1KN/r1pmDMf34o/lZ1bCh2fc4IQFOnYLJk80v46JsyIohfLz9Y1wtrtQoXYPfHv3Noa+wXB9XKt87Tu6g5cyW2Awb6bZ0pnafyuMtHnd6OzbDRuc5nfnh0A+4ubhRv2x9tjyyxbG2XKQQ6DfKVchLrVhRHewur/tmyzBbPMT9Yo43lJ5g1vJ5lAb/WgWadDdtCtu3m9//Z85c6Jt9BVdTvocMMX97eHvDyy+brUQCA81+3fv2mf2Fi/pvD7lGruFnRYH16b5W5s+fz6xZszh16hR16tRh7Nix+b43uL7QpDi71uU7p4HUioPUjFQOnzsMmKMvB3hr+NH/gryU7wNxB4hPjcfF4kKj8o3yva24lDj2xO4BoEbpGk41KxbJL/1GkaJi+fKLd2vp3x/eeguqVjWfx8aatdPdujm+5mrL944d5gCQO3eateuJiWZT66pVYfBgc0BIkf+SfCXdmzZt4tNPP+XAgQNYLBZq1KjBoEGDaFPESri+0KQ4U/mW4kzlW4o7lXEpSr7+Gt55BzZvNvsG+/mZ/YLPnTMT4J9/dlxe5VtuNC5XXsTRvHnzeOSRR/D19WXgwIEMGDAAPz8/hg4dyrx58wojRhERERER+Y/q2hXWrzcHMfvzT/jmG7ML2smT2RNukRuR00PtTZ8+nbFjx/Lggw86TG/atCkfffRRtukiIiIiIlL8ubmZI5eLiCOna7oTExNp3759tult27YlKSmpQIISERERERERKQ6cTrrDwsL49ttvs01ft24dt9xyS4EEJSIiIiIiIlIc5Kl5+Zw5c+yPa9asybRp09i6dSuNGzcG4I8//uC3335j8ODBhRKkiIiIiIiISFGUp6T7008/dXheokQJ9u/fz/79++3T/P39iYqKYtiwYQUaoIiIiIiIiEhRlaeke/369YUdh4iIiIiIiEix43SfbhERERERERHJmzzVdIeHh/PUU0/h4+NDeHj4ZZcdO3ZsgQQmIiIiIiIiUtTlKen+66+/yMjIsD/OjcViKZioRERERERERIqBPCXdc+fOzfGxiIiIiIiIiOTOqT7dGRkZ1K9fn7179xZWPCIiIiIiIiLFhlNJt5ubGxUrVsRmsxVWPCIiIiIiIiLFhtOjlz/++ONMmjSJs2fPFkI4IiIiIiIiIsVHnvp0ZzV37lwOHz5M+/btqVixIj4+Pg7zly5dWmDBZfXRRx/xww8/EB0djbu7O7/88kuhbEdERERERESkoDiddHfu3Pm6jFKenp5O165dady4MZGRkdd8+yIiIiIiIiLOcjrpfvLJJwsjjisaMWIEAEuWLLku2xcRERERERFxVr5quiMjIyldurTD9Pj4eHr16sW6desKLLjCYLPZMAwDAKvV6vBfpDhR+ZbiTOVbijuVcSnOVL6lOHF1db3iMk4n3UePHs1x9PK0tDROnjzp7OquuV27dpGenu4wbefOndcpGpHCp/ItxZnKtxR3KuNSnKl8S3HQrFmzKy6T56Q7aw32jz/+iL+/v/25zWZj06ZNVKpUyakAIyIimDJlymWXiYyMJDQ01Kn1Xk5ISIhDTffOnTsJDQ3N0xUKkaJE5VuKM5VvKe5UxqU4U/mWG02ek+4nnnjC/njMmDGOK3Fzo1KlStmmX8kDDzxA9+7dL7tM5cqVnVrnlbi4ZL9Lmqurq97wUmypfEtxpvItxZ3KuBRnKt9yo8hz0r17924AwsLCiIyMJCAg4Ko3HhAQUCDrEREREREREfkvyl7tewUjRozAz88v2/S0tDSWLVtWEDHl6NixY0RHR3Ps2DGsVivR0dFER0eTlJRUaNsUERERERERuRpOJ91jx44lISEh2/SkpCTGjh1bIEHl5IMPPqBnz55ERESQnJxMz5496dmzJ7t27Sq0bYqIiIiIiIhcDadHLzcMA4vFkm36yZMnHQZXK2hvvfUWb731VqGtX0RERERERKSg5Tnp7tmzJxaLBYvFwqBBg3Bzu/hSq9XKkSNHaN++faEEKSIiIiIiIlIU5TnpvvXWWwGIjo6mXbt2+Pr62ue5u7tTqVIlqlatWvARioiIiIiIiBRReU66hw8fDkClSpXo3r07np6eACQkJLBixQpmzZrF7t27iY6OLpxIRURERERERIoYp/t09+rVC4BNmzYRFRXFt99+S8WKFbntttuYMGFCgQcoIiIiIiIiUlQ5lXSfOHGCJUuWEBUVRUpKCt26dSMjI4OIiAhq1apVWDGKiIiIiIiIFEl5TrqHDBnCr7/+SqdOnXj55Zdp3749rq6uLFy4sDDjExERERERESmyLIZhGHlZsH79+gwYMID+/ftTvXp1+/QGDRqwfPly1XSLiIiIiIiIXMIlrwvOnz+fpKQk+vTpQ79+/Zg3bx5xcXGFGZuIiIiIiIhIkZbnmu5MKSkprFq1iqioKHbu3InVamXMmDH06dMHPz+/wopTREREREREpMhxOunO6uDBg0RGRrJixQri4+Np06YN06ZNK8j4RERERERERIqsq0q6M1mtVr777jsiIyOVdIuIiIiIiIhcUCBJt4iIiIiIiIhkl+eB1ERERERERETEOUq6RURERERERAqJkm4RERERERGRQqKkW0RERERERKSQ3NBJ9/z58wkLCyM0NJTevXvzyy+/XO+QRJwyffp0+vTpQ5MmTWjdujXDhg3j4MGDDssYhkFERATt2rWjYcOGDBgwgH379l2niEXyb/r06QQHBzNhwgT7NJVvKepOnjzJqFGjaNWqFY0aNaJHjx7s2rXLPl9lXIqqjIwM3nvvPcLCwmjYsCGdO3dmypQp2Gw2+zIq33KjuGGT7tWrVxMeHs7jjz/OsmXLaNasGUOGDOHYsWPXOzSRPNu6dSsPPPAAixcvZvbs2VitVh5++GGSk5Pty8ycOZPZs2czbtw4IiMjCQwMZPDgwSQmJl7HyEWcs2PHDhYtWkRwcLDDdJVvKcrOnTtH//79cXd3Z+bMmaxatYoxY8ZQokQJ+zIq41JUzZw5k4ULFzJu3DhWr17N6NGjmTVrFnPnznVYRuVbbgjGDapv377GuHHjHKZ17drVmDhx4nWKSOTqnT592qhTp46xdetWwzAMw2azGW3btjWmT59uXyY1NdVo1qyZsWDBgusVpohTEhMTjdtuu834+eefjQcffNB44403DMNQ+Zai7//+7/+M/v375zpfZVyKsqFDhxpjx451mDZ8+HBj1KhRhmGofMuN5Yas6U5LS+PPP/+kXbt2DtPbtm3L9u3br1NUIlcvISEBgJIlSwJw5MgRYmJiHMq6h4cHLVq0UFmXImP8+PF07NiRNm3aOExX+Zaibv369YSEhDBixAhat25Nz549Wbx4sX2+yrgUZc2aNWPz5s38/fffAOzevZtff/2Vjh07AirfcmNxu94BXA9nzpzBarVSpkwZh+mBgYHExMRcp6hEro5hGISHh9OsWTPq1KkDYC/POZV1daWQomDVqlX89ddfREZGZpun8i1F3b///suCBQsYPHgwjz32GDt27OCNN97Aw8ODnj17qoxLkTZkyBASEhLo1q0brq6uWK1WRo4cyZ133gnoM1xuLDdk0p3JYrE4PDcMI9s0kaJi/Pjx7N27l88//zzbvJzKush/3fHjx5kwYQKffPIJnp6euS6n8i1FlWEYhISE8MwzzwBQv3599u/fz4IFC+jZs6d9OZVxKYpWr17NihUrmDRpErVq1SI6Oprw8HCCgoLo1auXfTmVb7kR3JBJd+nSpXF1dSU2NtZh+unTpwkMDLxOUYnk3+uvv8769euZN28e5cuXt08vW7YsALGxsQQFBdmnq6xLUfDnn39y+vRpevfubZ9mtVrZtm0b8+fP5+uvvwZUvqXoKlu2LDVr1nSYVqNGDdasWWOfDyrjUjS98847DB06lDvuuAOA4OBgjh07xvTp0+nVq5fKt9xQbsg+3R4eHjRo0ICff/7ZYfrGjRtp0qTJdYpKxHmGYTB+/Hi++eYbPvvsM6pUqeIwv3LlypQtW9ahrKelpbFt2zaVdfnPu/nmm1m5ciXLli2z/4WEhHDXXXexbNkyqlSpovItRVrTpk3t/V0zHTp0iEqVKgH6DJei7fz589lqsV1dXe012SrfciO5IWu6AQYPHsxzzz1HSEgITZo0YdGiRRw/fpz77rvveocmkmevvfYaX375JVOnTsXX19feP8rf3x8vLy8sFgsDBw5k+vTpVK9enWrVqjF9+nS8vLzsfapE/qv8/Pzs4xNk8vHxoVSpUvbpKt9SlA0aNIj+/fszbdo0unXrxo4dO1i8eDHjx48H0Ge4FGm33HIL06ZNo2LFivbm5bNnz6ZPnz6AyrfcWCzGDdxxYv78+cyaNYtTp05Rp04dxo4dS4sWLa53WCJ5duk9izOFh4fbm+QahsGUKVNYtGgR586do1GjRowbNy5bMiNSFAwYMIC6devy4osvAirfUvR99913vPvuuxw6dIjKlSszePBg7rnnHvt8lXEpqhITE5k8eTJr167l9OnTBAUFcccdd/DEE0/g4eEBqHzLjeOGTrpFRERERERECtMN2adbRERERERE5FpQ0i0iIiIiIiJSSJR0i4iIiIiIiBQSJd0iIiIiIiIihURJt4iIiIiIiEghUdItIiIiIiIiUkiUdIuIiIiIiIgUEiXdIiIiIiIiIoVESbeIiEgxMGDAACZMmHC9wyhQY8aMYdiwYfbnxXEfRUSk+HO73gGIiIhcbzExMUyfPp0ffviBEydO4O/vT7Vq1bj77rvp2bMn3t7e1zvEK4qIiMDN7eq+1g8fPsy0adP4+eefiYuLIygoiMaNGzN48GBCQ0MLKNL8K4h9zGmda9euZfny5QW6XhERkUxKukVE5Ib277//0r9/f/z9/Rk5ciTBwcFkZGRw6NAhoqKiCAoKonPnztc7zCsqVarUVb1+586d/O9//6N27dqMHz+eGjVqkJSUxLp163j77beZN29ewQSag/T0dNzd3a+43NXuo4iIyPWg5uUiInJDe/XVV3F1dSUqKoru3btTs2ZNgoODuf3225kxYwZhYWH2ZRMSEnj55Zdp3bo1TZs2ZeDAgezevds+PyIigh49erBs2TLCwsJo1qwZI0eOJDEx0b5MWloab7zxBq1btyY0NJT+/fuzY8cO+/wtW7YQHBzMjz/+SM+ePWnYsCEDBw7k9OnT/PDDD3Tr1o2mTZvyzDPPkJKSYn/dpU2v09LSeOedd+jYsSMhISHcdtttfPHFFzkeA8MwGDt2LNWqVePzzz+nU6dOVK1alXr16jF8+HCmTp1qX3bPnj0MHDiQhg0b0qpVK15++WWSkpLs8202G1OmTKFDhw6EhITQo0cPNmzYYJ9/5MgRgoODWb16NQMGDCA0NJQVK1ZgtVoJDw+nefPmtGrVinfeeQfDMBzivHQfw8LCmDZtGmPHjqVJkyZ06tSJRYsWObzm//7v/7j99ttp1KgRnTt35v333yc9PR2AJUuWMGXKFHbv3k1wcDDBwcEsWbIkT+daREQkr5R0i4jIDevMmTP8/PPPPPDAA/j4+OS4jMViAczEdOjQocTExDBjxgyWLFlCgwYNGDRoEGfPnrUv/88//7Bu3TqmTZvG9OnT2bZtGzNnzrTPf+edd1izZg1vvfUWS5cupVq1ajzyyCMO6wCYMmUKL7/8MgsXLuTEiRM8/fTTzJkzh0mTJjFjxgx+/vln5s6dm+u+Pffcc6xevZqXXnqJr776itdeew1fX98cl42Ojmbfvn089NBDuLhk/2lQokQJAFJSUnjkkUcoWbIkkZGRvP/++2zcuJHXX3/dvuycOXOYPXs2zz//PCtWrKBdu3YMGzaMQ4cOOaxz4sSJDBgwgNWrV9OuXTs++eQToqKimDBhAp9//jnnzp3j22+/zXX/Ms2ePZuQkBCWLVvG/fffz6uvvsqBAwfs8319fQkPD2fVqlW8+OKLfPHFF3z66acAdO/enYceeojatWvz008/8dNPP9G9e/c8n2sREZG8UNItIiI3rH/++QfDMLjpppscprdq1YomTZrQpEkT/u///g+AzZs3s3fvXj744ANCQ0OpXr06zz//PCVKlGDNmjX21xqGQXh4OHXq1KF58+bcfffdbNq0CYDk5GQWLlzIc889R8eOHalVqxavv/46np6eREZGOsTw9NNP06xZM+rXr0/fvn3ZunUrr776KvXr16d58+bcfvvtbNmyJcf9+vvvv/nqq69488036dKlC1WqVKF169Z07949x+UzE+IaNWpc9nitXLmS1NRU3n77berUqUPr1q0ZN24cy5cvJzY2FoBZs2YxZMgQ7rjjDmrUqMHo0aOpW7cun332mcO6Bg0axG233UaVKlUoV64cn332GUOHDuX222+nZs2avPbaa/j7+182HoAOHTrwwAMPUK1aNYYMGULp0qXZunWrff6wYcNo2rQplStXJiwsjMGDB/PVV18B4OXlhY+PD66urpQtW5ayZcvi5eWV53MtIiKSF+rTLSIiN7zM2uxMkZGR2Gw2Ro0aRVpaGgB//vknycnJtGrVymHZ8+fP888//9ifV6pUCT8/P/vzoKAgTp8+DZhJfnp6Ok2bNrXPd3d3p2HDhg61swDBwcH2x2XKlMHb25sqVarYpwUGBrJz584c9yc6OhpXV1datGiRp/3PdOlxuNSBAwcIDg52aBXQtGlTbDYbf//9N15eXpw6dcph/zKXubRpdkhIiP1xQkICMTExNGnSxD7Nzc2NkJCQbE3ML5X1OFksFgIDA+3HG+Drr7/ms88+459//iE5OZmMjAyH85OTvJ5rERGRvFDSLSIiN6yqVatisVg4ePCgw/TM5NbLy8s+zWazUbZs2RybdGetkc1pdO1LE8dLk1vDMLJNy7oei8WSbb0WiwWbzZbjfmWNOy+qV68OmEl1vXr1cl0upzizxpPT49xel1tzfmfldFwyj/fvv//OM888w5NPPkm7du3w9/dn1apVzJ49+7LrzOu5FhERyQs1LxcRkRtW6dKladu2LfPmzSM5OfmyyzZo0IDY2FhcXV2pVq2aw19AQECetle1alXc3d359ddf7dPS09PZtWsXNWvWvKp9yapOnTrYbDa2bduWp+Xr1atHrVq1+OSTT3JM5OPj4wGoVasWu3fvdjhWv/32Gy4uLlSvXh0/Pz+CgoIc9g9g+/btl90/f39/ypYty++//26flpGRwZ9//pmn+HPz22+/UbFiRR5//HF7M/Fjx445LOPu7p5tnwviXIuIiGRS0i0iIje0V155BavVSp8+fVi9ejUHDhzg4MGDLF++nIMHD+Lq6gpAmzZtaNy4MU888QQ//vgjR44c4bfffuO9997LtZn3pXx8fOjfvz/vvPMOGzZsYP/+/bz88sucP3+evn37Ftg+Va5cmV69evHCCy+wdu1a/v33X7Zs2cLq1atzXN5isRAeHs6hQ4d44IEH+OGHH/j333/ZvXs3H330EcOGDQPgrrvuwsPDgzFjxrB37142b97M66+/To8ePQgMDATg4YcfZubMmaxevZqDBw8yceJEdu/ezcCBAy8b88CBA5k5cybffvstBw4c4LXXXrMn+/lVtWpVjh8/zqpVq/jnn3+YM2cOa9eudVimUqVKHDlyhOjoaOLi4khLSyuQcy0iIpJJzctFROSGVrVqVZYuXcr06dOZNGkSJ0+exN3dnVq1avHQQw9x//33A2ZiOmPGDN5//31eeOEFzpw5Q2BgIM2bN7cnnHkxatQoDMPgueeeIykpiZCQED7++GNKlixZoPv16quv8u677/Lqq69y9uxZKlasyKOPPprr8g0bNiQqKopp06bx0ksvcebMGYKCgmjSpAkvvPACAN7e3syaNYsJEybQt29fvL29ue222xgzZox9PQMHDiQxMZG33nqLuLg4atasydSpU+1N2HPz0EMPERMTw5gxY3BxcaFPnz506dKFhISEfB+DW2+9lUGDBjF+/HjS0tLo1KkTjz/+OFOmTLEvc/vtt/Ptt98ycOBA4uPjCQ8Pp3fv3gVyrkVERAAsxpVGKBERERERERGRfFHzchEREREREZFCoqRbREREREREpJAo6RYREREREREpJEq6RURERERERAqJkm4RERERERGRQqKkW0RERERERKSQKOkWERERERERKSRKukVEREREREQKiZJuERERERERkUKipFtERERERESkkCjpFhERERERESkkSrpFRERERERECsn/A1KgIoLZGGw2AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from tangermeme.ism import saturation_mutagenesis\n", "\n", "X = random_one_hot((1, 4, 2000), random_state=0).type(torch.float32)\n", "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=saturation_mutagenesis, target=267, device='cpu')\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[0, :, 950:1050], ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-1.5, 1.5)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[0, :, 950:1050], ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-1.5, 1.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f87a618d-e080-42db-92f9-28a6887acf3f", "metadata": {}, "source": [ "Like with the `deep_lift_shap` function, we can pass in additional arguments. In this case, we can pass in `start` and `end` in order to accelerate the calculation." ] }, { "cell_type": "code", "execution_count": 18, "id": "8e6ae63d-fc31-4aa1-9d9f-6395b21963d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "attr_before, attr_after = marginalize(model, X, \"GTGACTCATC\", func=saturation_mutagenesis, device='cpu', \n", " additional_func_kwargs={'target': 267, 'start': 950, 'end':1050})\n", "\n", "plt.figure(figsize=(10, 3))\n", "ax = plt.subplot(211)\n", "plot_logo(attr_before[0], ax=ax)\n", "plt.title(\"Attributions Before Motif Substitution\")\n", "plt.ylabel(\"Attributions\")\n", "plt.ylim(-1.5, 1.5)\n", "\n", "ax = plt.subplot(212)\n", "plot_logo(attr_after[0], ax=ax)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attributions\")\n", "plt.title(\"Attributions After Motif Substitution\")\n", "plt.ylim(-1.5, 1.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "312ebe54-eab0-4f9a-b1d9-c1d656bb53e4", "metadata": {}, "source": [ "#### Marginalizing Annotations\n", "\n", "In the above examples, we saw how one can use marginalizations to study elements in isolation in several different ways. Frequently, the elements that one wants to study are derived from some actual experiment or endogenous genomic context. Usually, the pipeline goes something like first identifying individual functional units in the genome (e.g., seqlets), clustering these into patterns using a method like TF-MoDISco, and then evaluating each one of these patterns in isolation. But one could also test each of the seqlets in isolation, especially in the context of evaluating each of the elements in a single example.\n", "\n", "Let's start by getting some annotations for a sequence. An easy way to do this (and usually the way you will do this in practice) is to call seqlets on attributions. " ] }, { "cell_type": "code", "execution_count": 19, "id": "df54fc84-03c8-493b-bc58-3d327111fe3f", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from tangermeme.ersatz import multisubstitute\n", "from tangermeme.deep_lift_shap import deep_lift_shap\n", "from tangermeme.plot import plot_logo\n", "from tangermeme.seqlet import recursive_seqlets\n", "\n", "X = random_one_hot((1, 4, 2000), random_state=0).type(torch.float32) \n", "X = multisubstitute(X, [\"GTGACTCATC\", \"GTGACTCATC\", \"ACTTCCGCG\"], [25, 25])\n", "\n", "X_attr = deep_lift_shap(model, X, device='cpu', n_shuffles=20, target=57, random_state=0)\n", "seqlets = recursive_seqlets(X_attr.sum(dim=1), additional_flanks=5)\n", "\n", "plt.figure(figsize=(12, 2))\n", "ax = plt.subplot(111)\n", "plot_logo(X_attr[0], ax=ax, start=925, end=1100, annotations=seqlets, score_key='attribution')\n", "plt.ylim(-0.025, 0.25)\n", "\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attribution\")\n", "plt.title(\"DeepLIFT/SHAP\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b6f02d59-cdaa-4ebf-8947-e618b63cfd4b", "metadata": {}, "source": [ "Next, we can look at marginalization scores for each of the elements in isolation using the `marginalize_annotations` function. This function will take the coordinates from each annotation, extract the underlying sequence, and substitute it into the provided background sequences, returning the results before and after the substitution. Basically, this function will call the `marginalize` function for each annotation individually." ] }, { "cell_type": "code", "execution_count": 20, "id": "a258fb88-f845-4e87-af83-314a4fdff394", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(torch.Size([5, 20, 2002]), torch.Size([5, 20, 2002]))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from tangermeme.marginalize import marginalize_annotations\n", "from tangermeme.ersatz import dinucleotide_shuffle\n", "\n", "annotations = seqlets[['example_idx', 'start', 'end']].values\n", "X0 = dinucleotide_shuffle(X)[0]\n", "\n", "y_before, y_after = marginalize_annotations(model, X, X0, annotations)\n", "y_before.shape, y_after.shape" ] }, { "cell_type": "markdown", "id": "bd4273ff-c835-43c6-91bf-601ce19bb1a6", "metadata": {}, "source": [ "We see that we get a tuple of predictions before and after substituting each of the five motifs and for each of the 20 shuffles. Next, we can calculate the score as the average difference." ] }, { "cell_type": "code", "execution_count": 21, "id": "3095c7e6-6cd2-4a34-8e65-f6a9124144e9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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example_idxstartendattributionp-value
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" ], "text/plain": [ " example_idx start end attribution p-value\n", "1 0 1573 1588 -0.032544 4.662937e-15\n", "0 0 1028 1044 0.727307 4.798464e-03\n", "2 0 927 942 -0.001295 5.285412e-03\n", "3 0 957 972 0.643915 6.717850e-03\n", "4 0 993 1007 0.548725 8.579600e-03" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "seqlets" ] }, { "cell_type": "code", "execution_count": 22, "id": "047a4afa-7d3d-4968-bfcc-87b1f06f70c8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0.5123, 1.0632, 0.0332, 1.1129, 0.9762])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(y_after - y_before).mean(axis=1)[:, 57]" ] }, { "cell_type": "markdown", "id": "bd68d151-0a48-4eca-9508-86fd3248a4ca", "metadata": {}, "source": [ "The first and third seqlets are noise, and are explained more thoroughly in the seqlet tutorial. What is important here is that the average predictions are much higher after marginalizing the other seqlets. Put another way, the marginal effect of each of these seqlets is an increase in model predictions -- they drive model predictions of accessibility up.\n", "\n", "But, much like the underlying `marginalize` function, we are not limited to just making predictions. We could also do attribution marginalization, where attributions are calculated before and after the seqlets are isolated and substituted into background sequences." ] }, { "cell_type": "code", "execution_count": 23, "id": "8b853331-1916-49f3-9eb1-37f67c1f47c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(torch.Size([5, 20, 4, 2000]), torch.Size([5, 20, 4, 2000]))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_before, y_after = marginalize_annotations(model, X, X0, annotations, func=deep_lift_shap, warning_threshold=5e-3)\n", "y_before.shape, y_after.shape" ] }, { "cell_type": "code", "execution_count": 24, "id": "9d4481dd-e86c-4b3d-8b7a-15312a374829", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 5))\n", "ax = plt.subplot(311)\n", "plot_logo(y_after[1].mean(axis=0)[:, 985:1015], ax=ax)\n", "plt.ylim(-0.025, 0.15)\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attribution\")\n", "plt.title(\"DeepLIFT/SHAP of Marginalizations\")\n", "\n", "ax = plt.subplot(312)\n", "plot_logo(y_after[3].mean(axis=0)[:, 985:1015], ax=ax)\n", "plt.ylim(-0.025, 0.15)\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attribution\")\n", "\n", "ax = plt.subplot(313)\n", "plot_logo(y_after[4].mean(axis=0)[:, 985:1015], ax=ax)\n", "plt.ylim(-0.025, 0.15)\n", "plt.xlabel(\"Genomic Coordinate\")\n", "plt.ylabel(\"Attribution\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "25106659-77f1-4c41-a048-7cd675d67482", "metadata": {}, "source": [ "Here, we are seeing the attribution values averaged over all background sequences after each seqlet is individually substituted into the background sequence. This allows us to look at the individual and isolated effect of each seqlet -- the core motif and the immediate flanks -- on the model predictions." ] } ], "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }