diff --git a/docs/source/notebooks/mmm/mmm_example.ipynb b/docs/source/notebooks/mmm/mmm_example.ipynb index 08f9f30fc..f664c94ff 100644 --- a/docs/source/notebooks/mmm/mmm_example.ipynb +++ b/docs/source/notebooks/mmm/mmm_example.ipynb @@ -20,25 +20,101 @@ " - We also know that there is a yearly seasonality effect.\n", " - In addition, we were informed about two outliers in the data during the weeks `2019-05-13` and `2021-09-14`.\n", "\n", - "What do we mean by optimize the marketing budget? We want to find the optimal media mix that maximizes sales. In order to do so, we need to understand the mechanism in which the media spend for each channel affects sales. In other words, we need to understand the media contribution. The main challenge is that the direct cost signal does not translate into a linear contribution. For example, a $10\\%$ increase in channel $x_{1}$ spend does not necessarily translate into a $10\\%$ increase in sales. This can be explained by two phenomena\n", + "Given this information we can draw a Directed Acyclic Graph (DAG) or graphical model of how we believe our variables are related. In other words, represent how we believe our system is causally related." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import io\n", "\n", - "1. On the one hand side, there is a carry-over effect. That is, the effect of spend on sales is not instantaneous but accumulates over time.\n", - "2. In addition, there is a saturation effect. That is, the effect of spend on sales is not linear but saturates at some point.\n", + "import graphviz\n", + "from IPython.display import display\n", + "from PIL import Image\n", "\n", - "In this example we will illustrate how we can use `pymc-marketing` to model these effects.\n", + "# Create a new directed graph with the updated relationships\n", + "dot = graphviz.Digraph()\n", "\n", - "In the next section we describe a general framework for modeling media effects.\n", + "# Adding nodes with specific ranks\n", + "with dot.subgraph() as s:\n", + " s.attr(rank=\"same\")\n", + " s.node(\"Exogenous Variables\")\n", + " s.node(\"marketing\")\n", + " s.node(\"Special events\")\n", "\n", - "## Model Specification\n", + "dot.node(\"Sales\")\n", "\n", - "In `pymc-marketing` we provide an API for a Bayesian media mix model (MMM) specification following [Jin, Yuxue, et al. “Bayesian methods for media mix modeling with carryover and shape effects.” (2017)](https://research.google/pubs/pub46001/) as a base model. Concretely, given a time series target variable $y_{t}$ (e.g. sales or conversions), media variables $x_{m, t}$ (e.g. impressions, clicks or costs) and a set of control covariates $z_{c, t}$ (e.g. holidays, special events) we consider a linear model of the form \n", + "# Adding edges based on the new relationships\n", + "edges = [\n", + " (\"Exogenous Variables\", \"Sales\"),\n", + " (\"marketing\", \"Sales\"),\n", + " (\"Special events\", \"Sales\"),\n", + "]\n", + "\n", + "for edge in edges:\n", + " dot.edge(edge[0], edge[1])\n", + "\n", + "# Define styles for specific nodes\n", + "dot.attr(\"node\", shape=\"circle\", style=\"filled\", color=\"white\", fontcolor=\"black\")\n", + "dot.attr(\"edge\", color=\"black\")\n", + "\n", + "# Set color to grey for specific nodes\n", + "dot.node(\"Sales\", style=\"filled\", color=\"grey\")\n", + "\n", + "# Render the graph to a PNG image in a byte stream\n", + "byte_stream = io.BytesIO(dot.pipe(format=\"png\"))\n", + "\n", + "# Load the image from the byte stream and display it\n", + "image = Image.open(byte_stream)\n", + "image = image.resize((1350, 350))\n", + "display(image)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, we will consider a simple system where:\n", + "- **Marketing**: It represents the actions generated by $x_{1}$ and $x_{2}$.\n", + "- **Special Events**: Outliers on specific days, which are possibly given by special dates.\n", + "- **Exogenous Variables**: We will consider variables that are determined by external factors, not determined in the model (E.g: Country economic growth or weather conditions that determine seasonal behavior).\n", + "\n", + "Understanding this ecosystem is essential to create a model that reveals the true causal signals and allows us to optimize our advertising budget. But, What do we mean by optimize the marketing budget? We want to find the optimal media mix that maximizes sales.\n", + "\n", + "Now, given the DAG outlined above, we understand that there is a causal relationship between marketing and sales, but *what is the nature of that relationship*? In this case, we will assume that this relationship is not linear, for example, a $10\\%$ increase in channel $x_{1}$ spend does not necessarily translate into a $10\\%$ increase in sales. This can be explained by two phenomena:\n", + "\n", + "1. On the one hand side, there is a carry-over effect. Meaning, the effect of spend on sales is not instantaneous but accumulates over time.\n", + "2. In addition, there is a saturation effect. Meaning, the effect of spend on sales is not linear but saturates at some point.\n", + "\n", + "The equation implemented to describe the DAG presented above will be the one expressed in [Jin, Yuxue, et al. “Bayesian methods for media mix modeling with carryover and shape effects.” (2017)](https://research.google/pubs/pub46001/), adding a causal assumption around the media effects and their exclusively possitive impact. Concretely, given a time series target variable $y_{t}$ (e.g. sales or conversions), media variables $x_{m, t}$ (e.g. impressions, clicks or costs) and a set of control covariates $z_{c, t}$ (e.g. holidays, special events) we consider a linear model of the form \n", "\n", "$$\n", "y_{t} = \\alpha + \\sum_{m=1}^{M}\\beta_{m}f(x_{m, t}) + \\sum_{c=1}^{C}\\gamma_{c}z_{c, t} + \\varepsilon_{t},\n", "$$\n", "\n", - "where $\\alpha$ is the intercept, $f$ is a media transformation function and $\\varepsilon_{t}$ is the error therm which we assume is normally distributed. The function $f$ encodes the contribution of media on the target variable. Typically we consider two types of transformation: adstock (carry-over) and saturation effects.\n", + "where $\\alpha$ is the intercept, $f$ is a media transformation function and $\\varepsilon_{t}$ is the error therm which we assume is normally distributed. The function $f$ encodes the positive media contribution on the target variable. Typically we consider two types of transformation: adstock (carry-over) and saturation effects.\n", "\n", + "In **PyMC-Marketing**, we offer an API for a Bayesian Media Mix Model (MMM) with various specifications. In the example, we’ll implement `Geometric Adstock` and `Logistic Saturation` as the chosen transformations for our previously discussed Structural Causal Equation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "```{tip}\n", "The MMM model in `pymc-marketing` provides additional features on top of this base model:\n", "\n", @@ -6300,6 +6376,13 @@ "pm.model_to_graphviz(model=mmm.model)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> Note: You may notice that the graph here is an explicit version of our initial drawing (DAG), where we can now explicitly see all the different components that were included in each node, including their dimensionality. This graph is another way of looking at the same causal assumptions, made during the construction of the bayesian generative model." + ] + }, { "cell_type": "markdown", "metadata": {},