{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(mmm_allocation_assessment)=\n", "# Budget Allocation Risk Assessment with PyMC-Marketing\n", "\n", "This notebook is centered around evaluating the risks tied to different budget allocations across various marketing channels. You'll discover how to create an optimal budget allocation that aligns with your specific risk tolerance. This knowledge will empower you to make well-informed decisions regarding your budget distribution.\n", "\n", "## Prerequisite Knowledge\n", "The notebook assumes the reader has knowledge of the essential functionalities of PyMC-Marketing. If one is unfamiliar, the [\"MMM Example Notebook\"](https://www.pymc-marketing.io/en/stable/notebooks/mmm/mmm_example.html) serves as an excellent starting point, offering a comprehensive introduction to media mix models in this context.\n", "\n", "## Expected Outcomes \n", "Upon completion of this notebook, readers will acquire a comprehensive understanding of how to evaluate the risks associated with various budget allocations and how to develop an optimal budget allocation based on specified risk tolerance criteria.\n", "\n", "## Preliminary Setup \n", "Consistent with previous notebooks in the PyMC-Marketing series, this document relies on a specific set of libraries. Below are the necessary imports required for executing the code snippets presented hereafter." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/homebrew/envs/pymc-marketing-dev/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } ], "source": [ "import warnings\n", "\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from pymc_marketing.mmm import MMM\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "az.style.use(\"arviz-darkgrid\")\n", "plt.rcParams[\"figure.figsize\"] = [12, 7]\n", "plt.rcParams[\"figure.dpi\"] = 100\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "%config InlineBackend.figure_format = \"retina\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expectation is that a model has already been trained using the functionalities provided in prior versions of the PyMC-Marketing library. Thus, the data generation and training processes will be replicated in a different notebook. Those unfamiliar with these procedures are advised to refer to the [\"MMM Example Notebook.\"](https://www.pymc-marketing.io/en/stable/notebooks/mmm/mmm_example.html)\n", "\n", "## Loading a Pre-Trained Model\n", "To utilize a saved model, load it into a new instance of the MMM class using the load method below." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "mmm = MMM.load(\"model.nc\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formulating the Budget Allocation Challenge \n", "As in earlier notebooks, it is essential to delineate the budget allocation challenge. Specifically, we must define the duration of our budget allocation and the permissible expenditure per time unit. Our model utilizes weekly data; therefore, we will maintain the same temporal granularity.\n", "\n", "In this example, we aim to distribute a budget across two channels over the course of eight weeks, with a weekly budget of 3 Million. Consequently, the total budget available for allocation amounts to 24 Million." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total budget to allocate: 24M\n" ] } ], "source": [ "num_periods = (\n", " 8 # Number of time periods to allocate the budget (weeks for this example)\n", ")\n", "time_unit_budget = 3 # Imagine is 3K or 3M (per week in this case)\n", "\n", "# Define your channels\n", "channels = [\"x1\", \"x2\"]\n", "\n", "print(f\"Total budget to allocate: {num_periods * time_unit_budget}M\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on our intuition, we were thinking of distributing this million into 2.5 Million for Google ($x2$) and 0.5 Million for Facebook ($x1$). Using this allocation, we can compute the response distribution and plot it." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "initial_allocation = {\"x1\": 0.5, \"x2\": 2.5}\n", "initial_posterior_response = mmm.sample_response_distribution(\n", " allocation_strategy=initial_allocation,\n", " time_granularity=\"weekly\",\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(\n", " samples=initial_posterior_response, figsize=(12, 8)\n", ")\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "# Plot the response distribution by Arviz\n", "az.plot_posterior(\n", " initial_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " hdi_prob=0.95,\n", ")\n", "plt.title(\"Response Distribution at 95% HDI (highest density interval)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is great, apparently we could get 4.4M units sold given our 3M budget which is mostly allocated to $X2$.\n", "\n", "Could we do better? The usual approach is to allocate the budget to maximize the response. We can use the `optimize_budget` method to do so, here we will compute the response given several budget combinations, and we'll prefer the one that maximizes the response. It's important to note that this example doesn't use any bounds, or constraints, so the optimizer will seek to use the entire budget." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Budget allocation: [1.56120876 1.43879124]\n", "Total Allocated Budget: 3.0M\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "model_granularity = \"weekly\"\n", "allocation_strategy, optimization_result = mmm.optimize_budget(\n", " budget=time_unit_budget,\n", " num_periods=num_periods,\n", ")\n", "\n", "naive_posterior_response = mmm.sample_response_distribution(\n", " allocation_strategy=allocation_strategy,\n", " time_granularity=model_granularity,\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "print(f\"Budget allocation: {naive_posterior_response.allocation.to_numpy()}\")\n", "print(\n", " f\"Total Allocated Budget: {np.sum(naive_posterior_response.allocation.to_numpy())}M\"\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(samples=naive_posterior_response, figsize=(12, 8))\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great! Looks like we could get 5M units sold given our 3M budget, meaning the optimizer found a better allocation which maximizes the response for the same budget. We could follow the same approach and plot the two distributions to compare them." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "# Plot the response distribution by Arviz\n", "fig, ax = plt.subplots()\n", "az.plot_posterior(\n", " naive_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " hdi_prob=0.95,\n", " color=\"blue\",\n", " label=\"Optimized allocation\",\n", " ax=ax,\n", ")\n", "az.plot_posterior(\n", " initial_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " hdi_prob=0.95,\n", " color=\"red\",\n", " label=\"Guessed allocation\",\n", " ax=ax,\n", ")\n", "plt.title(\"Response Distribution at 95% HDI (highest density interval)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This makes everything clear, the optimized allocation has a higher mean. But looks like the optimized allocation has a higher risk, as the distribution is wider, respect to the initial guessed allocation.\n", "\n", "Based on this, using the optimized allocation its very likely to get a respose of 5M units sold but also the budget could bring as low as 4.5M units sold or as big as 5.6M units sold. On the other hand, using the guessed allocation its very likely to get a respose of 4.4M units sold but also the budget could bring as low as 3.7M units sold or as big as 5.4M units sold. \n", "\n", "Here the answer looks clear, the optimization brings a higher mean, but with lower risk. But that would be always the case? \n", "\n", "During this notebook will give you the tools to answer this question. If you face a situation where the best bet is not the safer bet, which one would you prefer? Higher mean, but with more risk? Or lower mean, but with less risk? A safer bet or a riskier bet?\n", "\n", "This is where risk assessment comes into play, we can use different risk assessment criteria to help us decide which allocation is better based on our risk tolerance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction to Risk Assessment\n", "\n", "The `budget_optimizer` module encompasses various risk assessment criteria that facilitate the evaluation of risks associated with different budget allocations.\n", "\n", "Utilization of the `ut` class allows for the computation of risks linked to various budget allocations. Should the need arise to implement a customized risk assessment criterion, one can develop an individual function and incorporate it into the `optimize_budget` method as necessary. Subsequently, guidance on creating a personalized risk assessment criterion will be provided. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from pymc_marketing.mmm import utility as ut" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimizing Budget Allocation Using Mean Tightness Score (MTS)\n", "\n", "This section focuses on the optimization of marketing budget allocation while incorporating risk considerations. Specifically, we employ the Mean Tightness Score (MTS) as the utility function to ensure that our budget plan effectively minimizes potential losses within a defined HDI (highest density interval).\n", "\n", "### Overview of the Process\n", "\n", "We invoke `mmm.optimize_budget` to ascertain the optimal allocation of the marketing budget across various channels over specified time periods, mirroring the approach undertaken in the prior section.\n", "\n", "The parameters remain consistent with those from the preceding section, with the addition of the `utility_function` parameters. In this instance:\n", "- `utility_function`: This parameter is assigned to `mean_tightness_score`.\n", "\n", "The Mean Tightness Score represents a risk-adjusted metric that harmonizes the mean return with the tail variability within a distribution. This metric is computed as follows:\n", "\n", "$$\n", "Mean\\ Tightness\\ Score = \\mu - \\alpha \\cdot Tail\\ Distance\n", "$$\n", "\n", "In this formula, $\\mu$ signifies the mean of the sample returns, $Tail\\ Distance$ represents the tail distance metric, and $\\alpha$ denotes the risk tolerance parameter." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;31mSignature:\u001b[0m \u001b[0mut\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean_tightness_score\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mfloat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mconfidence_level\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mfloat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.75\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m 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"where:\n", " - :math:`\\mu` is the mean of the sample returns.\n", " - :math:`Tail\\ Distance` is the tail distance metric.\n", " - :math:`\\alpha` is the risk tolerance parameter.\n", "\n", "alpha (Risk Tolerance Parameter): This parameter controls the trade-off.\n", " - Higher :math:`\\alpha` increases sensitivity to variability, making the metric value higher for spread dist\n", " - Lower :math:`\\alpha` decreases sensitivity to variability, making the metric value lower for spread dist\n", "\n", "Parameters\n", "----------\n", "alpha : float, optional\n", " Risk tolerance parameter (default is 0.5).\n", "confidence_level : float, optional\n", " Confidence level for the quantiles (default is 0.75).\n", " Confidence level must be between 0 and 1.\n", "\n", "Returns\n", "-------\n", "UtilityFunctionType\n", " A function that calculates the mean tightness score given samples and budgets.\n", "\u001b[0;31mFile:\u001b[0m ~/pymc-labs/pymc-marketing/pymc_marketing/mmm/utility.py\n", "\u001b[0;31mType:\u001b[0m function" ] } ], "source": [ "ut.mean_tightness_score?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Budget allocation: [1.63155458 1.36844542]\n", "Total Allocated Budget: 3.0M\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "mts_budget_allocation, mts_optimizer_result = mmm.optimize_budget(\n", " budget=time_unit_budget,\n", " num_periods=num_periods,\n", " utility_function=ut.mean_tightness_score(alpha=0.9),\n", ")\n", "\n", "mts_posterior_response = mmm.sample_response_distribution(\n", " allocation_strategy=mts_budget_allocation,\n", " time_granularity=model_granularity,\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "print(f\"Budget allocation: {mts_posterior_response.allocation.to_numpy()}\")\n", "print(\n", " f\"Total Allocated Budget: {np.sum(mts_posterior_response.allocation.to_numpy())}M\"\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(samples=mts_posterior_response, figsize=(12, 8))\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The majority of the budget is allocated to $X1$. This allocation has been determined to minimize potential risk. Essentially, this approach indicates that we are prepared to accept lower returns if those returns are characterized by a higher degree of certainty. This is evident in the response distribution plot, which should exhibit a tight distribution with narrow tails." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "az.plot_dist(\n", " naive_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"blue\",\n", " label=\"Non-risk optimized allocation\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"orange\",\n", " label=\"MTS optimized allocation\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "plt.axvline(\n", " x=naive_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"blue\",\n", " linestyle=\"--\",\n", ")\n", "plt.axvline(\n", " x=mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"orange\",\n", " linestyle=\"--\",\n", ")\n", "plt.title(\"Response Distribution at 95% HDI (highest density interval)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like budgets didn't change much, but the risk is a bit lower compared to the non-risk optimized allocation, if we observe the distributions the density is narrower for the MTS optimized allocation, even when the MTS optimized allocation has almost the same mean.\n", "\n", "This strategy is logical, as $X1$ demonstrates a response with reduced uncertainty, whereas $X2$ is associated with greater uncertainty. Consequently, the optimizer allocates a larger portion of the budget to $X1$, as it represents a more secure investment option." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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AWL3KlYc1Yaw6j5WnbFmvbuWhNaYYxpoOYdnilCu/ltBdWN2hG6wJaQU1s/6wtgKRkBYAoNqKC3f95Cc/0b/8y7/o/vvv1/Hjx+tus3v3bu3fv18vfelLdcUVVyzzCgEAq8ZswS6qpQAAq4G1Ujrq1yyWpnMtIsxlg53+RK6erfK6t0iRfkbtAwAAAACAlaleIKveNK15Kg+tNCOIZd2QH9YytSEtZzpgVecDcP6xqkNYVXWHxVBW7XQtQloAgGZZMeGuxx57TO95z3v04IMPSpJsnaR0ybFjx3T8+HF96Utf0iWXXKI/+7M/05Of/OTlWioAYDUg2AUAWG0qw1ylQNdiw1w924phrq1SuIcwFwAAAAAAWF7WNhzSmp6mVZhlmpZTFcCau/LQnXP6lS1tV5yoZctTtKYnatnS86Xw1iz1iQAALJcVEe76yle+oltvvVWZTEbWWhljZCr+B1kKepma/2laa/Xggw/qN37jN/THf/zHeulLX7qs6wYArFClYFc6JhMl2AUAWKGaFubq8isWe7bK69kqhQhzAQAAAACAJqoMann5cg2iH9TKzx7gqncox6mZphWQTHg6ZFWuOnTnn6ZVt/Kw4n7N8+WqRQAAVpm2h7u++93v6l3vepcKhUI51FUKc3V3d2vPnj3q6emRJMXjcR0/flzxeFzSdNgrk8noPe95j/r6+nTNNde05xsBAKwMhayc84/IZOIy0RMSwS4AwEphrZSelBM/08Qw1zYp1E2YCwAAAAAANGZGUKsged6Cg1ozag+dYu1hsKL2sBzOKgW2AnVfwyhP03ICkhuoqDesM02rMqwFAMA60db/60WjUb397W8vB7ustero6NArXvEKveQlL9GTnvSkuvsdOnRIX/7yl/X5z39eU1NTMsaoUCjoHe94h7797W+rv79/eb8RAMDKUBXsOi5JsgS7AADtlIkXw1xnZGJnZPKpBR+CMBcAAAAAAKhrzurDpQa1wsWgllMnqOXOWlVoK6dkORVBLdcPa00Ht1w/vOUyTQsAgPm0Ndz16U9/WvF4vBzsevrTn66PfvSj2rZt25z7PfGJT9Tb3vY2vfKVr9RNN92kBx54QJKUSCT06U9/Wu94xzuWYfUAgBWFYBcAYCXIJmXiZ6cDXdnEgg9hQ12yPdtku0s1i4S5AAAAAABYF2rCWLJ5GW9meKv8uPX8gFcNW6oydFzJBOaZqNVoUCvoVyhWBrfcoL+vWzFpi9cwAABoOmNtnf/jL5NnPetZGh8flyQ96UlP0he+8AV1dHQs6BipVEqveMUr9Oijj8paqw0bNuiHP/xhK5aLGhMTE+1eAioYY8pT66LRqNr4VxtYfoWsnJFHZdIxgl3NYPxqZMkPTovLCYDFWg/Xk3xGJn5mOsyVnlzwIWyo25/M1V2czBXubsFCgVVsPVxLACwPricAmoFrCYBGWW/esFZnJCR5BaWS8eJjdYJaxikGqIpBLcetmbLVxKBWZeUhQS1gVeA9YmBlGhgYaOrx2ja566GHHtLY2Jgk/4Lzx3/8xwsOdklSR0eHbr31Vr3iFa+QJI2Pj+sXv/iFLr744qauFwCwQlUFu05IItgFAGihQlYmcU4mVgx0pSa00HdzbLBLtncbYS4AAAAAAFYLa4tTsirqDuvWH/q3y1O1ag9jTDGEFZAphagCEdlC5VQtt7yNShO4ZhzHKVYdBqerD91gueqwugqRoBYAAKtd28JdR44ckeQHu3bt2qXLLrts0ce67LLLtHv3bh0/frx8bMJdALAO1AS7jKw8gl0AgGby8jKJ88XpXGdlkiNacJgrEPFrFnu2yuvZLoV7eEEVAAAAAIB2snZGUKtqqpaXL0/cMqXg1qz1h9OhLOtG/PrDuiGt4mOlfY1kursl48iG0rLGD2PZiulapYBW1WNuoG7gCwAArF1tC3eVpnZJ0t69e5d8vCc84QnlcFep6hEAsIYVcn6wK0OwCwDQRNaTSY74Ya7YGT/MZQsLO4YTlFcKc/VukyIDhLkAAAAAAGgl682YoFVZf1gObJWnbc38Wb9yqpYctzgNKzxdZ1g5WcvxKxLr1x9WT82yFSEtf6qWK7khGTcoM7hRxnHlUaUGAADm0LZwVzabLd+ORCJLPl44HK57bADAGlTIyRl5xA92TRDsAgAsgbVSasKvWIydlpM4J3m5hR3DuPJ6tpanc9nODXyCFgAAAACApagMaxWDWVUViDMma9WrQHSqgljWDUnBwMypWpWhrRnHMMVgVmi6/rAqqFW6XwxwOfUDX3UZ41czAgAAzKNt4a7BwcHy7TNnziz5eGfPni3fHhgYWPLxAAArVOXELoJdAIDFyCblxE7LxE/LxE7L5NML2984sl2b5PVs98NcXZvqvgAMAAAAAACKZp2gla//WN0KRMefllWqQHQiUiggayrDWpU1iDM/eFWewlUMZFVP1SpO2aoMavHzPgAAWAHaFu7asmWLJMlaqwcffFATExOLDmVFo1EdPHhwxrEBAGtMOdg1KRM9SbALANCYfEYmcdYPdMXOyGQmF3gAI9u5QV7vNtme7bLdm/0XeAEAAAAAWK+qJmstNqzlVtcgBouTsKrqDwOarQLRSlVBLTkBWTcgOaFyYKs8WcsJ+gEuJm0DAIBVqG3vSFx++eUKBAIqFAoqFAr65Cc/qfe85z2LOtYnPvEJ5fN5SVIgENAVV1zRzKUCAFYCLy9n9DF/Ylf0pIxXINgFAKjPK8gkR/yaxfgZmeSIii/5Nsx2DMr2bJVXrFrk/zcAAAAAgDWttgbR5v26w5oaxPJjiwprTU/dmjWsVZqa5QZrgllLrEAEAABYxdoW7urq6tIznvEM/fCHP5Qk/f3f/70uuOAC3XDDDQs6zuc//3l97nOfkyn+4+3AgQPq7Oxs+noBAG3k5f2JXelJmeiJ6WBXINzulQEAVgJrpfSEnNgZP9CVOOu/0LyQQ4S6ZXu3l6sWFexo0WIBAAAAAFgG1pYDWeUpWqWgVs2ELeMV/HBX7SFqaxDdyMIna7nB8tSs6nBWULaq/pCwFgAAwGza2iXypje9ST/84Q9ljJHnefqzP/sz3Xfffbr55pu1e/fuOfc9ceKEPvaxj+kb3/iGJL/e0RijN73pTcuxdADAcqkKdp0k2AUA8GWTfs1ivFi1mE8tbH835Ae5erfJ6x2Swj2tWScAAAAAAM1gbTGUVagKbRmvUFWDOD1xqzDzEMapmpxl3bAU7CyGrkqPu7MGrWadrFUKa9VO1SKsBQAA0BRtDXddfvnl+vVf/3V96UtfkjFG1lp961vf0re+9S3t27dPl112mfbs2aOenh4ZYxSPx3Xs2DH97Gc/08GDByVNh7qMMXrJS16iyy+/vJ3fEgCgmbxCMdhVqmLMyevfTbALANajQlYmftYPdMVOy2QmF7a/ceV1b5bt3S7bs122c1AyTmvWCgAAAABAIxqpQixN3LKFGVWIVqoIUrmybkByIrLGldxAVUWiH7Sa+XNwbdWhLU/aogYRAABgpWhruEuS3ve+9+ns2bP6j//4j3K1orVWBw8e1IMPPjjrfpWhLmutrrrqKv3pn/7pci0bANBqXkHOaDHYNXmCYBcArDfWk0mOyMSG/brF5IiKL1s3yMh2Dhanc22X7d7svwgNAAAAAECr1E7Xqp2k5eVrAlv1qhDdqlCWDYb8x0p1iLWhrdr9jVM9XasU1iqGs2zFc3KChLUAAABWgba/uxEIBHTHHXfoL//yL3XnnXeWQ1sltuZTCKXnSqEuY4xe/epX681vfrMCgbZ/OwCAZvAKckYfk0lN+sGuQo4qRgBYDzJxObFhmdhpObHTkpdb0O421C3bu71ct6hApEULBQAAAACsG9abpQqxwelaxlSEsgKybkgKBqoDW04jVYgV07RqqxHd0HRgiynVAAAAa86KSEMFAgG9/e1v14tf/GLdeeed+sY3vqFsNlt321LYKxQK6QUveIFe9apX6aKLLlrO5QIAWsl6csYOyaSiMpMn/WBX307eoAeAtahctThcrFqMLWx/N1QOcnm926Vwb2vWCQAAAABYW6rqEPM1ga3aEFdh5u6OI5npukMbrKgwrAhy+c/Xma7luMWwVkBygjOrEKuma62It/IAAADQRsbWjsZaAbLZrB588EH913/9l8bHxzU5OSlrrfr7+zU4OKhLLrlE+/btUygUavdS17WJiYl2LwEVjDHq7++XJEWj0RlT74BVwXpyRg/JTI0Xg11ZP9gV7Gj3ytYXI3V3d0uSEonEwlrQAKBS7fXEszJTY8WqxWGZxHkt6CJjXHndm/2axZ7tsp2DfCIZWA/4twmAZuF6AqAZuJasXDXTtarCWfPUIVppuubQCVRXI1bVIBa3qflZdMZ0rZpwli0+Xg508bMsxPs6AJqDawmwMg0MDDT1eCsy7h8KhbR//37t37+/3UsBACwX68kZPSyTmpCZPCWTz/hVjAS7AGBVs5mkFD0p99xhOZOnpUJmYft3DMrr3S7bOyTbvZlPLAMAAADAelJTfSgvL2Mrw1qVga1G6xArJmqVw1p16hCNU11/WApnOTXhLaZrAQAAoMX41yYAoP2slTN2WCY1Xgx2peX1M7ELAFYlLy+TOCczOSwnPiybT0qSnFyuod1tICLbO1QMdG2Xgp2tXC0AAAAAYLnVC2zVnbg1W2ArILluMbAVkUIBWVMZ1qqYsFWjXJ04Y7pWdTXibPsDAAAA7UC4CwDQXqVg11Qx2JWbKlYx8mY+AKwK1krpqF+zGDstJ37Wf0G+JBice3/jyHZvmZ7O1TE449PSAAAAAIAVrqb6sN6ErYYCW07A/9CPE6ipRayYtlWjMqRlneqJWtQhAgAAYC1oebhrYmJCN9xwgzIZv34lEonoU5/6lHbu3Lmk4548eVK///u/Xz5uZ2enPv/5z5e77gEAq4C1MuNH/GBXbHg62BXqavfKAABzyWdkYsNyYqfL1++FsOE+2d7tfqCrZ5v/QjsAAAAAYGWxXk39YUVAq6FKxIrAlhuRDTUW2LJSRSAr6Ae93OmQVu19PiAEAACAta7l4a5PfepTevzxxyVJxhj9+Z//+ZKDXZK0c+dOvfa1r9W73/3u8rH/+q//WjfffPOSjw0AWAbWykwclZMc84MB2aS8vh0EuwBgJbKezNSYX7UYOyWTHFXx5fbGuCF5XduLdYtDUpgPZAAAAABAW5QDW5UViPkZk7f8wJZXvasxfjirGMyqrkQsBbbcupWG1YGtwPRErapKxACBLQAAAKCOloa7otGoPv/5z8sU/xH+ghe8QL/+67/etOO/7GUv07//+7/rm9/8pqy1+ru/+zu9/vWvZ3oXAKwCJnpMTmJEip+WySbk9e6QQly/AWDFyKX8msXYKTmTw1Ihs4CdjWzXJnl92xXa+kSpZ7MKyakF5cEAAAAAAA2yVpqtAnHGY4XqXaViGMsPZFk3JAUD/nQsx616Ts7Mt5RsvQpEJmwBAAAATdXScNfXv/51ZbNZ/0SBgG666aamn+PNb36zvvOd76hQKCidTusb3/iGXv7ylzf9PACA5jETpWDXGTmZuLze7UxxAYB2s55MclSmGOYyU2NaSBrLBrtk+/zJXLZnmxQIS0YyfPACAAAAABanZprW9JSt2glbhZm1iI5TrD0MyLoByQ0Xw1YVdYil2zWhK1sKdLmliVrBWQNcBLYAAACA1mtpuOvf/u3fJPmViS960Yu0a9eupp9j165deuELX6gvf/nLMsboX//1X9d1uCuZTOonP/mJzp07p2g0qsHBQQ0NDWn//v0KhULtXh4AyERPyEmcLwa7YvJ6tkvh3nYvCwDWp1xKTmxYZvKUnNiwVMg2vq9x5fVsKwa6tkvhPl7UBwAAAID5WDtPYKuiKrE2sGWMH8Zy/SlaNhiZDmLVTtgyTs2+zswaxKrboXJlYu2+AAAAANqrZeGuXC6ngwcPlu8///nPb9Wp9IIXvEBf/vKXZa3VAw88oEKhINd1599xkZLJpB566CEdPHhQBw8e1IMPPqjh4eHy80NDQ7rnnntadv56zp8/r7/8y7/Ut771LU1NTc14vq+vTy9+8Yt10003UVsJoG3M5Ck58bNS/KycVFRe7zYpQrALAJaN9WSSIzKTw3Jip4rTuRawe6RPXu8O2b4dst2b61ZyAAAAAMC6NO+UrdL9RmoRO+vUIhbv1+5bEcyaGdiqmLrltO49EwAAAACt1bJ3Yx577DHlcjlJUiQS0VVXXdWqU+mZz3ymIpGI0um0stmsHnvsMV100UVNP8+dd96pL33pSzp8+LA8z2v68RfrBz/4gd761rdqYmJi1m0mJyd111136Xvf+55uv/32lvz3AYC5mNiwnNhpKXFOTmpCXs82KdLf7mUBwNqXm/JrFmOn/OvwQqZzOcGK6Vw7qNAFAAAAsL5Y61ceenmpUAxo2bxsIebfTsSlQm6WKVtOVTjLBjtly/eD89cizlKDWBXacmbuCwAAAGDtaVm46+jRo5L8Ssbdu3e3tBIwHA5rz549euSRR8rnbkV46b777tNjjz3W9OMuxS9+8Qv94R/+oVKpVPmxzZs36znPeY42btyoM2fO6Lvf/a5isZgk6eTJk3r961+vf/7nf9bWrVvbtWwA64yJn5EzOSwlR+RMjcvr2SJ19Ld7WQCwNllPJnHeD3NNDsukxhe2e6RfXt8O2d4h2e4tfLobAAAAwNpjvYoJW7niVK2KyVuFUi1iYUZoyw9n9RQDViHZQEfNlK1icKt2ypYx01O03GJIywlN33ZD/v5ukFpEAAAAAFVaFu4qhYkkaePGja06Td1zRKPRlp+vpLOzUxdffLF+8Ytf1K1DbKV0Oq03velNVcGu17zmNbr55purwnSJRELvfe979fWvf12SNDIyoptuuklf+MIXlnW9ANYnEz8nJ3rSD3YlR/0ar47Bdi8LANaWXErO5Mli3eKw/+ZEo5ygvN5tsr075PUNSSGmcwEAAABYpWqqEU0xuDX9eK4Y4qqpRjRGMsVJWk5ANhgpBrbq/TIy3f7PTTaRkDWuH8yadcpWRWgLAAAAABahZeGueDxevj0wMNCq05T19/fXPXczhcNhPe1pT9O+fft0ySWXaN++fdq7d68cx9E111yz7OGu//t//6/OnDlTvv+yl71M73jHO2Zs193drY985COamJjQj370I0nSz372M33nO9/R8573vGVbL4D1xyRH5ESPS1PjfrCra5Ns54Z2LwsAVj9rZaZGZSZPyZk8JTM1urDdOwbk9e6Q7dsh27WJ6VwAAAAAVra6Aa18dV2il/cnclWYrkYMyroByQ0VKw/rhLYq95OKIa1QdUir+NUMbpTcoLzElKyoRQQAAADQWi0Ld5mKnvdWha0qJRKJuudupo9+9KMtOe5i5HI5/c3f/E35fk9PT91gV4njOPqTP/kTPf/5z5fn+T/g/u///b8JdwFoGTM1Jmf8qJSakJM4J9u5Qbar9ZMcAWDNKmRlYsN+mGvylEw+3fi+TlBe75Bs35C83iEp1NW6dQIAAABAI6z1aw9rqxBrfvmhrepqROs4xfrDgB/aCkb8qVnzViM69Sdr1Zm6pVneZzDGyER6infSM2sbAQAAAKDJWhbu6uqafsNoYmKiVaepe47Kc69V//mf/1n1Pb/whS9UX1/fnPvs3r1bv/RLv6Qf/OAHkqRf/OIXOnnypHbu3NnStQJYh1ITMmNHpHRUTvysbOegX8cIAGictVJ6Us7kST/QlTin4ufHG9u9Y1Be3w7Z3iH/Gmyc1q0VAAAAAEoqQ1uVU7VqA1t1Q1tuOZhl3ZAU6vJrD2unbdX8fFPezw36+5VCWm6oJrTVsrdEAAAAAKBlWvaTzLZt2yRJ1lodOXJEhUJBrtuaupd8Pq/Dhw+X72/durUl51lJ7rnnnqr7v/qrv9rQfs9//vPL4S5Juvvuu/WqV72qmUsDsN6lJuSMHpJJT8rEzsh2DMh2b2n3qgBgdfDyMvGz09O5sguYgFuezrVDXt+QFOxs3ToBAAAArD/zhrYq6hJnhLZKwSxX1g3Lhrpm1iI6gRnTsvwKxWJIqzRRq3S7fD9I1TwAAACANa1l4a4nPvGJ5dvJZFI//elPdeWVV7bkXA888ICSyWTdc69VP/nJT8q3XdfV0572tIb2u/zyy6vu33fffYS7ADRPelLO2GGZTFwmdlqK9BHsAoD5ZJNyJk/KTJ6SEz/jvxHSIBvpk9e3U7Zvh2zXZt7QAAAAALA4lSGtOvWI9SZtWakqmGXdiGyoTmCrXmirIphVnrTlBGUDoenAlhtkAjEAAAAAqIXhrp07d2rDhg0aHx+XJH3pS19qWbjri1/8Yvn24OCgdu3a1ZLzrBSe5+nYsWPl+7t37264ivLCCy9UJBJROp2WJB05cqQVSwSwHmXixYldcZnYsBTple3ZNuPFOwBY96wnkxzxw1yTp2RS443va1x5PVtl+3bK69shhXtat04AAAAAq19pklblZK1CbmZwa856xAVM2qo3Xat8uyK4xetFAAAAANCwlhbMP/e5z9U///M/S5K++tWv6jWveU3Tp2odOnRIX/nKV2SKPwxec801TT3+SjQ8PKxMJlO+v3379ob3NcZo69at5XDYyZMnlcvlFAwGm71MAOtJNiln9LHixK5TUqhbtmc7L9QBQEk+IxPzw1zO5LBUyMy/T5ENdharFnf6oVmXf7cBAAAA6571ilO2cjPrEcuViblZQlulSVshKdQla9zi5KwFTtoitAUAAAAAy6Kl4a7f+I3f0D//8z/LGKNCoaCbb75Zn/vc59TX19eU48diMb35zW+W53mS/ODS//gf/6Mpx17Jzp07V3V/69atC9p/y5Yt5XBXPp/X2NjYgo8BAGW5KTkjj8pkEjKTp6Rgp2wvwS4A65y1flXt5Ek50RMyyREVS0saYGS7NskrBrrUMcA1FQAAAFgvSqEtryB5uToViTmZQt7frnI3x5FMoBi+CkjBDtlSUMutDG05NfsF/HAWoS0AAAAAWLFaGu562tOepquuuko/+tGPZIzRkSNH9IY3vEG33367Nm/evKRjj4yM6MYbb9ShQ4fKU7ue8Yxn6NJLL23G0le0ZDJZdb+zs3NB+9dWONYer1GGH+hXlMrfD35vsGxyKTkjj0rZhJzJk7LBiGzfDslx5t8XK5aRqbptTaOBFGCd8zyZxFk5kydloidlMvHG93VD8vqG/OlcfTukQLh161xGXE8ANAPXEgDNwvUEbWXtdGCr+NWUp2z5j5nSc5WMUwxlBfzQViAs6wT9CVxV07ZqXosxASngh7PqhrZKlYmm/ms4vLo4O16HBdAsXE8ANAPXEmB9aGm4S5Le/e5362Uve5my2awk6ec//7le9KIX6ZZbbtGLXvQiua67oOMVCgV97Wtf02233aZYLCZjjKy1CofDes973tOKb2HFmZqaqrofDi/szb/a7WuP16j+/v5F7YfWa9Z0PGAuNpeWPXNYNmil2KjU0y8N7pZxFnZdx8rW1d01/0bAOmZzaWnihOzEcWnipFTITj85X+1156DMwG5pcJfUs0VmljdV1gquJwCagWsJgGbheoJmsl6hqiJRhVzF7Xx5Alf1NF/jh7KCAcnt9qdrlaoPy9O2gjK1r58bV3JDMoFiQCsQLge3Km/z+szy4HVYAM3C9QRAM3AtAdauloe7nvCEJ+g973mP3vve95aTopOTk7rlllv0F3/xF3rZy16mZz7zmbrkkkvU09NT9xiJREIPPvigfvzjH+tLX/qSRkdHZa0tH88Yo3e96116whOe0OpvZ0XIZDJV94PzvXFYIxQKzXk8AJiPzWdkzz4km4lL48elQIBgF4B1w6ai0vhx2fFjUvys/wn8Rjiu1LdDZnCXNLBLJlz/374AAAAAVgZrbQOhrdyMikQ/gBWsCF91VYS2gtPBrarBCkYKhGXKQa3QjMCW3JCM2/KX9AEAAAAAK8yy/CT48pe/XBMTE/roRz9aDmRZazU6Oqo77rhDd9xxh4wx2rBhg3p7e8shr0QioVgsVg5zlfaTVHWcP/qjP9Jv/uZvLse3siLUTt7K5XIL2r80RW224zUqGo0uaj+0hjGmnMaenJws/10Bmq6Qk3P+YSkTkzNxXNYY2f7d0lSq3StDkxiZ8qfYk4mkrLieYJ2znkzivEz0pF+5mJ5sfNdQl2zfTnn9O2V7tvpv5khSTlIu0Zr1riBcTwA0A9cSAM3C9QRVStO2iqEtU7pddb+gqmlbxvGDW07Qr0h0ApLTLRsITNcjukGptg7H8YNelfWIMyoSnTr7SVK++EvZ4i+0G6/DAmgWricAmoFrCbAyNbsJb9k+5vOGN7xBe/fu1S233FKuU5RUFdoaGRnRyMjIjOcqVT7X3d2t2267Tdddd90yfRcrQ2dnZ9X9hU7eqt2+9niN4n8MK5e1lt8ftIaXl3P+ESkTk5k4LivJ9u3yX7zkj9yaYc30b6aV5fcW61MhKzM5LGfSD3RV1S3Ow3ZulNe3U7Z/p2zHYPUbNOvs7xPXEwDNwLUEQLNwPVknStO2yr9yMoXp2/Ly/v2aaVvWccvTtawbkQ1VBLZKoS2n+uV0a5xyWKsyuGWL4a3y9K5GK9h5PW/V4XVYAM3C9QRAM3AtAdauZZ3hfO211+qLX/yiPvzhD+s73/mOPM8rh7XqqfectVaO4+i6667TW9/6Vu3atauVS16Rurq6qu4nk8kF7V+7fe3xAKAuryBn5FGZTEwmelJGkte/y3+REgDWgkxMTvSkzORJOfGzavjdPuPK693uT+jq2yGF+LcVAAAA0BLWm65F9PL+dK3y/ZxMaRpXxRta1hjJBCQ34E/KCkRknaBfm14KbDmBqgCWlSombAXrBLeKzzlUJAIAAAAAWm/Zf/rcuXOnPv7xj+v48eP6zGc+ox/84Ac6efJkQ/vu2LFDz372s/V7v/d72rNnT2sXuoJt2bKl6v65c+cWtP/Zs2fLtwOBgDZs2NCUdQFYw6wnZ+yQTDomM3lSxsvL69/tv5AJAKuV9WSSIxV1i9HGdw12yvbt8Cd09W7nTR0AAABgqcqViKWg1nRFYjnI5RWqdvGnbQUWMW0rJAVCfsirVJEYCBXrE0P1qxUBAAAAAGiTtr0LtXv3bt16662S/HDS/fffr/PnzysajSoajUqS+vr6NDAwoM2bN+vyyy/X1q1b27XcFWVoaEiRSETpdFqSNDw83PC+1tqqcNeuXbsUDDJ1B8AcrJUzelhmasIPdhVy/sSuQLjdKwOAhSvkZGKn5UyekJk8JZNPN7yr7RiU179Ttm+XbOcG3uwBAAAAGlFVk5iTCnmZYj2iCqUJXLnqaVtSMZwVkJyg/+GKyrCWE/Sfq6k7tFXTtiqCW5U1iXwwAwAAAACwyqyIn2S3bNmiX/u1X2v3MlYNx3G0Z88ePfLII5KkEydOKJlMNlSveOTIEWUymfL9Cy+8sGXrBLAGWCszfkQmNS4TG5bJZ4rBrki7VwYAjcul/Mlc0RNyYqclW5h/H8mvW+zZJtu/U17fTuoWAQAAgFrWmzldq5GaxGJAy7oBKdhRE9wq1SSa6n3KQa1ZQltuiA9gAAAAAADWpBUR7sLC7d+/vxzuKhQKOnjwoK666qp59/vZz35Wdf/KK69syfoArAHWykwck5Mc84NduSk/3BDsaPfKAGB+6Uk50RNyoidkkiMqfvZ/XjYQke3bOV236DLhFAAAAOuU9aqDWoV607dqaxIdf6rWjJrEoOS49WsSHbduWKsyxMW/ywEAAAAA6xnhrlXq2muv1ec+97ny/W9+85sNhbu++c1vzjgOANRjoifkJEek+GmZbFJe7w6m1gBYuayVSY7ITBYDXenJxneN9Mvr3yXbt1O2axOf9gcAAMDaV5qoNaMmsWIC14zgVrEm0QRkgxFZp7u6JtEJ+AGuyn2qahJDNdO3wsX9q/cBAAAAAADVCHetUgcOHNDg4KDGx8clSf/2b/+mt7zlLert7Z11n+PHj+s//uM/yvcvvvhi7dy5s+VrBbD6mMlTchLnpPgZOZm4vJ7tUri73csCgGpeXiZ+Vk70uEz0pEw+1eCORl7PVtn+XfL6dnF9AwAAwNriFSdsFUrViPmZE7isV97cSn4wyy1WJQY7/fBVqSrRlEJdTvU+bkgKhKpCW36IK0xNIgAAAAAATUS4a4U4depU1RStoaEh3XPPPbNuHwwG9brXvU4f+tCHJEnxeFwf+MAH9P73v7/u9p7n6dZbb5XnTb9w88Y3vrFJqwewlpj4GTmx01LivJxUVF7PNikye3AUAJZVPuMHUKMn5MSG/UkDjXCC8nqHihO6dkiBcGvXCQAAALRCVXArW78q0U5XklcGpMK5VgAAhv5JREFUt6wbkgJhWaciuOUUaxMrQljWmDo1iSHZQEVFohMkuAUAAAAAwDIh3LWK3XDDDbrrrrt05swZSdIXv/hF9fX16eabb1YoFCpvl0gk9N73vlc/+tGPyo9ddtllet7znrfsawawspnEeTnRk1JyRM7UmLzuLVJHf7uXBWC9yyTklOoW42dVfItqXjbQIdu/U17/btmerf6bVgAAAMBKVQ5u5aYnbM0b3AoWg1tBKRBpILjl1J24NV2fWAxvAQAAAACAFYN3uBZgeHhY1113Xd3nCoVC1XZPfepT6273mc98RgcOHGjKeiKRiD75yU/qhhtuUCrl1xD97d/+rf71X/9VV199tTZs2KCzZ8/qnnvuUSwWK++3adMmfexjH2vKGgCsHWZqTM7EMWlqXE5yVLZrk9Q52O5lAViPrJVJjctEi4Gu1Hjju0b65fXvlO3b5V/HmCYAAACAlWBRE7fqBLfKdYl+hWIl67h1Jm4FixO7ivf5wAMAAAAAAKsOP80vgLW2KsQ1l9m2s7axSRONuvjii3X77bfrrW99q6LRqCTp/Pnz+qd/+qe62+/YsUO33367tm7d2tR1AFjlUhMyY0ekdFRO4pxs56Bs18Z2rwrAemI9mfhZP8w1eUImm2xwRyPbtUle/y55/bukSF9LlwkAAADM4BXKIS15OZmK6VvLF9wKS467vN83AAAAAABYFoS71oBnP/vZ+trXvqaPfOQj+ta3vlWe4lWpr69PL37xi3XTTTepu7u7DasEsGKlY3LGDsukYzKxM7Id/bLdW9q9KgDrgZeXiZ2WU5zQpUKmsf2MK693u2z/Lnl9O6VgR2vXCQAAgPXLejODWoVceeqWKeT9bUqbS+VaxLpViW5AMjVVibMFtwLh6apEglsAAAAAAKxbxjZ7lBTaKplM6ic/+YnOnDmjyclJDQ4OamhoSFdccYVCoVBTzzUxMdHU42FpjDHq7++XJEWj0aZPicMalU3KOf9wMdh1Sgr3yPZsp8ZsvTMqB4ETiUTx3QmgSQpZmclTciaOy4kN+2+SNcINy+vfKa9vl2zvdv+NMax8XE8ANAPXEgDNUns98bxiVWJuOqhVEd4yXt6fylU0HdzyJ2tZJzBddViauuXUBLeMIxVDWjMnboUJbgGrEK/DAmgWricAmoFrCbAyDQwMNPV4TO5aY7q6unT11Ve3exkAVoPclJyRR2WyCZnYsBTqItgFoDVyKb9uMXpCTvx01WSDudhQj7z+XbL9u2S7N0vGafFCAQAAsGZY6we1vPz0xC0vJ5sLSYWcnMSkVChU71IObgVkg53F+xV1iU5wZnCrWIvoB7fCNVWJxeAXAAAAAADAEvDqAgCsR7m0H+zKxGUmT0rBiGzvEMEuAM2TSciJHpcTPS6TOK9Gx6zYzg3y+nfJ698lRQa4LgEAAKC+8sQt/6uZMXEr7we8iqzjyLghKRySgh2yHa4f3nKC/i83UPVhAmvMzKrEQNivWqyYwAUAAAAAANBqhLsAYL3JZ+WMPCKTSfjBLjck27eTiTgAlsZaKT05HeiaGmtwRyPbvVle/255/bulcHdLlwkAAIBVwCv44axiYMtUVCeWp3BVBreMKVYj+kEsG+qanrTllgJcrqyRTHe3JCMbysqWpmyVQlylmsRSgAsAAAAAAGAFINwFAOtJISdntFjFGD3hV00Q7AKwWNbKTI3KRI/LmTghk5lsbD/jyOvZLjuwW17fTinY0dp1AgAAYOUo1SVWTtkqB7eKQS5vui7RSsXgVtCfmhWIyDoVVYmlr5WnKE/XCsq64emKxEBEZsMmyQ3Jm5yUtY1NlwUAAAAAAGgnwl0AsF54BTmjj8lkYn6wyxg/2OXwvwIAC2A9mfhZOdETMtETMrlkY/s5QXl9Q/L6d8v27WASAgAAwFo1X11iIVe1uXXc8oQtG+z0qxLdivCWE6yq6raOWzFpq2LqllucuhUIzfoBJmOMTCDc0m8fAAAAAACg2XhHHwDWA+v5wa50TCZ6SsZaeQO7/RfLAWA+Xl4mdlpO9ISc6AmpkGlsPzcsr3+XvP5dsr3bCZMCAACsdtabNbglLydTaLAu0Q0WqxIDkuNWb18Oa4WkYk2iLYW23BD/pgQAAAAAAOsOr4YAwFpnrZzRwzKpqMzkSRkvJ69/N1NzAMytkJWZPCUnelzO5LBfk9MAG+yU7d8tb2C3bPcWal8BAABWC2slWyhXJJqKENf0/UL1Lk5Acv3pWjbUvYC6xOnw1nSIKzhjShcAAAAAAAAIdwHA2matzPjjMqlxmdiwTD4jr3+X/8I5ANTKZ2QmT8qZOCYndtp/c68BNtwnb2CXbP9u2c6NvCEHAACwEs06dSsnFfL+/aqpW045pGXdiGyou2Lill+jWBnkt8apO2mrkbpEAAAAAAAAzI5wFwCsYSZ6XE5yVCZ2WiY3Ja9vpxTsaPeyAKwk+bSc6AmZUqBLdt5dJMl2bpDXv9ufBBjpI9AFAADQbhVTtsphrVmmblmpGNwKFINYkTmnblnJf6w0aasY2LKlqsRAmLpEAAAAAACAFuFVFwBYo8zksJzEeSl+ViabkNc7JIW62r0sACtBLiUnetwPdMXPqrFAl5Ht3jwd6Ap3t3qVAAAAKLFenYrEmvu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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "mmm.plot_direct_contribution_curves(show_fit=True, xlim_max=1.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can exhibit this behavior on a more evident way; if we want to maximize a response that is less certain, we should get the opposite scenario. Let's set the mean tightness score with a lower alpha parameter, meaning, we have a higher risk tolerance." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Budget allocation: [1.56291798 1.43708202]\n", "Total Allocated Budget: 3.0M\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "mts_budget_allocation_high_risk, mts_optimizer_result_high_risk = mmm.optimize_budget(\n", " budget=time_unit_budget,\n", " num_periods=num_periods,\n", " utility_function=ut.mean_tightness_score(alpha=0.3),\n", ")\n", "\n", "mts_posterior_response_high_risk = mmm.sample_response_distribution(\n", " allocation_strategy=mts_budget_allocation_high_risk,\n", " time_granularity=model_granularity,\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "print(f\"Budget allocation: {mts_posterior_response_high_risk.allocation.to_numpy()}\")\n", "print(\n", " f\"Total Allocated Budget: {np.sum(mts_posterior_response_high_risk.allocation.to_numpy())}M\"\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(\n", " samples=mts_posterior_response_high_risk, figsize=(12, 8)\n", ")\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are spending more in $X2$, and less in $X1$ compared to the previous allocation. Let's see the response distribution plot, again to compare it with the previous one." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "az.plot_dist(\n", " mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"orange\",\n", " label=\"MTS optimized allocation with low risk\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_posterior_response_high_risk.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"red\",\n", " label=\"MTS optimized allocation with high risk\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "plt.axvline(\n", " x=mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"orange\",\n", " linestyle=\"--\",\n", ")\n", "plt.axvline(\n", " x=mts_posterior_response_high_risk.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"red\",\n", " linestyle=\"--\",\n", ")\n", "plt.title(\"Response Distribution at 95% HDI (highest density interval)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the distribution has bigger tails now, and the mean is higher as well. We got bigger returns, but with more risk. The extra risk is coming from the additional budget allocated to $X2$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimizing Budget Allocation through ROAS and Value at Risk (VaR)\n", "\n", "In order to enhance decision-making regarding budget allocation, we can integrate various risk assessment criteria to develop a more sophisticated utility function. In this context, we will utilize the Return on Advertising Spend (ROAS) associated with each allocation, alongside the Value at Risk (VaR) as our risk assessment criterion. This approach will facilitate the identification of the allocation that maximizes ROAS while concurrently minimizing potential risks.\n", "\n", "Value at Risk is a statistical method employed to quantify the risk of financial loss within a portfolio or investment. Within the realm of marketing, it assists in understanding the potential worst-case loss (ROAS) associated with a particular budget allocation, evaluated at a specified HDI (highest density interval). By minimizing VaR, we aim to select an allocation that ensures, even in adverse scenarios, the ROAS remains as elevated as feasibly possible." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Budget allocation: [1.74304018 1.25695982]\n", "Total Allocated Budget: 3.0M\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "def value_at_roas(confidence_level=0.9):\n", " \"\"\"Calculate the Value at Risk (VaR) based on the ROAS distribution.\"\"\"\n", "\n", " def _value_at_roas(samples, budgets):\n", " roas_samples = ut._calculate_roas_distribution_for_allocation(samples, budgets)\n", " return ut.value_at_risk(confidence_level=confidence_level)(\n", " samples=roas_samples, budgets=budgets\n", " )\n", "\n", " return _value_at_roas\n", "\n", "\n", "mts_roas_budget_allocation, mts_roas_optimizer_result = mmm.optimize_budget(\n", " budget=time_unit_budget,\n", " num_periods=num_periods,\n", " utility_function=value_at_roas(confidence_level=0.9),\n", ")\n", "\n", "mts_roas_posterior_response = mmm.sample_response_distribution(\n", " allocation_strategy=mts_roas_budget_allocation,\n", " time_granularity=model_granularity,\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "print(f\"Budget allocation: {mts_roas_posterior_response.allocation.to_numpy()}\")\n", "print(\n", " f\"Total Allocated Budget: {np.sum(mts_roas_posterior_response.allocation.to_numpy())}M\"\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(\n", " samples=mts_roas_posterior_response, figsize=(12, 8)\n", ")\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimizer is once again allocating the budget to $X1$. However, this decision is informed by the expectation that the current combination will yield a higher Return on Advertising Spend (ROAS), while also presenting a small lower risk profile compared to the previous allocation." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "az.plot_dist(\n", " mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"green\",\n", " label=\"MTS optimized allocation with low risk\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_roas_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"red\",\n", " label=\"MTS ROAS optimized allocation\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "plt.axvline(\n", " x=mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"green\",\n", " linestyle=\"--\",\n", ")\n", "plt.axvline(\n", " x=mts_roas_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " .mean()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"red\",\n", " linestyle=\"--\",\n", ")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Custom Risk Assessment Criterion\n", "We have the capacity to establish a bespoke risk assessment criterion by formulating a function that inputs the samples and assets and outputs a scalar value to be optimized. In this context, our objective is to maximize the value at risk, with particular consideration given to the diversification ratio.\n", "\n", "We aim to favor allocation strategies that exhibit the highest mean tightness score, while simultaneously ensuring a high level of diversification across marketing channels. As we already possess a foundational understanding of value at risk, we will concentrate our efforts on portfolio entropy." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array(0.05600153), array(0.69314718))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(\n", " ut.portfolio_entropy(samples=None, budgets=np.array([0.1, 9.9])).eval(),\n", " ut.portfolio_entropy(samples=None, budgets=np.array([5, 5])).eval(),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the portfolio entropy is higher when the budget is allocated evenly, meaning that the diversification is higher.\n", "\n", "Now, we can create our own risk assessment criterion by combining the value at risk and the portfolio entropy. In this case, we'll compute the mean tightness score and will multiply the response by the entropy in the portafolio. This will moderate our score, and we'll prefer the allocation that has the highest score, but with a high diversification between the marketing channels." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def mts_with_diversification(alpha, confidence_level):\n", " def _mts_with_diversification(samples, budgets):\n", " return ut.mean_tightness_score(alpha, confidence_level)(samples, budgets) * (\n", " 1 + ut.portfolio_entropy(samples=None, budgets=budgets)\n", " )\n", "\n", " return _mts_with_diversification" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [y]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Budget allocation: [1.58163404 1.41836596]\n", "Total Allocated Budget: 3.0M\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 811, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "mts_diversification_budget_allocation, mts_diversification_optimizer_result = (\n", " mmm.optimize_budget(\n", " budget=time_unit_budget,\n", " num_periods=num_periods,\n", " utility_function=mts_with_diversification(alpha=0.9, confidence_level=0.7),\n", " )\n", ")\n", "\n", "mts_diversification_posterior_response = mmm.sample_response_distribution(\n", " allocation_strategy=mts_diversification_budget_allocation,\n", " time_granularity=model_granularity,\n", " num_periods=num_periods,\n", " noise_level=0.01,\n", ")\n", "\n", "print(\n", " f\"Budget allocation: {mts_diversification_posterior_response.allocation.to_numpy()}\"\n", ")\n", "print(\n", " f\"Total Allocated Budget: {np.sum(mts_diversification_posterior_response.allocation.to_numpy())}M\"\n", ")\n", "\n", "fig, ax = mmm.plot_budget_allocation(\n", " samples=mts_diversification_posterior_response, figsize=(12, 8)\n", ")\n", "ax.set_title(\"Response vs spent per channel\", fontsize=18, fontweight=\"bold\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the optimizer is allocating the budget more evenly between the two channels ($X1$ and $X2$), they are spending almost the same amount. This allocation is more balanced than the previous ones. Nevertheless, the total allocated budget is more balanced, the risk is higher, in response terms." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "az.plot_dist(\n", " mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"green\",\n", " label=\"MTS optimized allocation with low risk\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_diversification_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " color=\"red\",\n", " label=\"MTS with diversification\",\n", " ax=ax,\n", " rug=True,\n", ")\n", "plt.title(\"Response Distribution\");" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 711, "width": 1211 } }, "output_type": "display_data" } ], "source": [ "# Plot all the response distributions one next to each other in the same figure\n", "fig, ax = plt.subplots(figsize=(12, 7))\n", "# remove the descriptions in the plot of mean and interval\n", "az.plot_dist(\n", " naive_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " ax=ax,\n", " color=\"pink\",\n", " label=\"Non-Risk optimized allocation\",\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_diversification_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " ax=ax,\n", " color=\"red\",\n", " label=\"MTS with diversification optimized allocation\",\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_posterior_response_high_risk.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " ax=ax,\n", " color=\"blue\",\n", " label=\"MTS with high risk optimized allocation\",\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_roas_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " ax=ax,\n", " color=\"black\",\n", " label=\"MTS ROAS optimized allocation\",\n", " rug=True,\n", ")\n", "az.plot_dist(\n", " mts_posterior_response.channel_contribution.sum(dim=\"channel\")\n", " .mean(dim=\"date\")\n", " .values.flatten()\n", " * mmm.target_transformer[\"scaler\"].scale_.item(),\n", " ax=ax,\n", " color=\"green\",\n", " label=\"MTS optimized allocation with low risk\",\n", " rug=True,\n", ")\n", "ax.set_title(\"Response Distribution at 95% HDI (highest density interval)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, here its clear how different strategies can lead to similar results, but with different risk profiles. Some distributions are more narrow, and some are more spread based on the risk tolerance.\n", "\n", "## Conclusion \n", "In this notebook, we have examined the methodology for assessing the risk associated with various budget allocations, utilizing distinct strategies. We have also demonstrated how to generate an optimal budget allocation that aligns with a specified risk tolerance criterion. Three separate risk assessment metrics were employed: the Mean Tightness Score (MTS), Value at Risk (VaR), and a custom criterion that integrates both the mean tightness score and the diversification ratio.\n", "\n", "## Next Steps \n", "It is essential to recognize that not all risk assessment criteria are compatible with the output without appropriate transformations. For instance, to compute the VaR, we analyzed the Return on Advertising Spend (ROAS) distribution; utilizing the response distribution directly would not adhere to the assumptions inherent in the VaR formula, potentially resulting in inconsistent or nonsensical outcomes.\n", "\n", "The next step is for you to develop your own risk assessment criterion and apply it to optimize your budget allocation." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Mon Jun 16 2025\n", "\n", "Python implementation: CPython\n", "Python version : 3.10.18\n", "IPython version : 8.37.0\n", "\n", "pytensor: 2.31.3\n", "\n", "matplotlib : 3.10.3\n", "pytensor : 2.31.3\n", "pymc_marketing: 0.14.0\n", "arviz : 0.21.0\n", "numpy : 1.26.4\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pytensor" ] } ], "metadata": { "kernelspec": { "display_name": "pymc-marketing-dev", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 4 }