{
"cells": [
{
"cell_type": "markdown",
"id": "fb4093cc",
"metadata": {},
"source": [
"(clv_quickstart)=\n",
"# CLV Quickstart"
]
},
{
"cell_type": "markdown",
"id": "55cf0b5e",
"metadata": {},
"source": [
"Customer Lifetime Value (CLV) is the measure of a customer's contribution over time to a business. This metric is used to inform spending levels on new customer acquisition, retention, and other marketing and sales efforts, so reliable estimation is essential.\n",
"\n",
"PyMC-Marketing provides tools to segment customers on their past behavior (see [RFM Segmentation](https://www.pymc-marketing.io/en/stable/api/generated/pymc_marketing.clv.utils.rfm_segments.html#pymc_marketing.clv.utils.rfm_segments)) as well as the following Buy Till You Die (BTYD) probabilistic models to predict future behavior:\n",
"\n",
"* **[BG/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)** for continuous time, non-contractual modeling\n",
"* **[Pareto/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)** for continuous time, non-contractual modeling with covariates\n",
"* **[Shifted BG model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/sBG.html)** for discrete time, contractual modeling\n",
"* **[BG/BB model](https://www.pymc-marketing.io/en/latest/api/generated/pymc_marketing.clv.models.beta_geo_beta_binom.BetaGeoBetaBinomModel.html)** for discrete time, contractual modeling\n",
"* **Exponential Gamma model** for discrete time, contractual modeling (coming soon)\n",
"* **[Gamma-Gamma model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/gamma_gamma.html)** for expected monetary value\n",
"* **[Modified BG/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/mbg_nbd.html)**, similar to the BG/NBD model, but assumes non-repeat customers are still active.\n",
"\n",
"This table contains a breakdown of the four BTYD modeling domains, and examples for each:\n",
"\n",
"| | **Non-contractual** | **Contractual** |\n",
"|----------------|---------------------|---------------------------------|\n",
"| **Continuous** | online purchases | ad conversion time |\n",
"| **Discrete** | concerts & sports events | recurring subscriptions |\n",
"\n",
"In this notebook we will demonstrate how to estimate future purchasing activity and CLV with the CDNOW dataset, a popular benchmarking dataset in CLV and BTYD research. Data is available [here](https://www.brucehardie.com/datasets/), with additional details [here](https://www.brucehardie.com/notes/026/)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "65621d72",
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from arviz.labels import MapLabeller\n",
"\n",
"from pymc_marketing import clv\n",
"from pymc_marketing.prior import Prior"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e43e42f6",
"metadata": {},
"outputs": [],
"source": [
"az.style.use(\"arviz-darkgrid\")\n",
"\n",
"%config InlineBackend.figure_format = \"retina\" # nice looking plots"
]
},
{
"cell_type": "markdown",
"id": "fa22b108",
"metadata": {},
"source": [
"## 1.1 Data Requirements"
]
},
{
"cell_type": "markdown",
"id": "f773bb65",
"metadata": {},
"source": [
"For all models, the following nomenclature is used:\n",
"\n",
"* `customer_id` represents a unique identifier for each customer.\n",
"* `frequency` represents the number of _repeat_ purchases that a customer has made, i.e. one less than the total number of purchases.\n",
"* `T` represents a customer's \"age\", i.e. the duration between a customer's first purchase and the end of the period of study. In this example notebook, the units of time are in weeks.\n",
"* `recency` represents the time period when a customer made their most recent purchase. This is equal to the duration between a customer’s first and last purchase. If a customer has made only 1 purchase, their recency is 0.\n",
"* `monetary_value` represents the average value of a given customer’s repeat purchases. Customers who have only made a single purchase have monetary values of zero.\n",
"\n",
"The `rfm_summary` function can be used to preprocess raw transaction data for modeling:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5b56f8db",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" customer_id frequency recency T monetary_value\n",
"0 1 3.0 49.0 78.0 23.723333\n",
"1 2 1.0 2.0 78.0 11.770000\n",
"2 3 0.0 0.0 78.0 0.000000\n",
"3 4 0.0 0.0 78.0 0.000000\n",
"4 5 0.0 0.0 78.0 0.000000\n",
"... ... ... ... ... ...\n",
"2352 2353 2.0 53.0 66.0 19.775000\n",
"2353 2354 5.0 24.0 66.0 44.928000\n",
"2354 2355 1.0 44.0 66.0 24.600000\n",
"2355 2356 6.0 62.0 66.0 31.871667\n",
"2356 2357 0.0 0.0 66.0 0.000000\n",
"\n",
"[2357 rows x 5 columns]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rfm_data = clv.utils.rfm_summary(\n",
" raw_trans,\n",
" customer_id_col=\"id\",\n",
" datetime_col=\"date\",\n",
" monetary_value_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
")\n",
"\n",
"rfm_data"
]
},
{
"cell_type": "markdown",
"id": "514ee548",
"metadata": {},
"source": [
"It is important to note these definitions differ from that used in RFM segmentation, where the first purchase is included, `T` is not used, and `recency` is the number of time periods since a customer's most recent purchase.\n",
"\n",
"To visualize data in RFM format, we can plot the recency and T of the customers with the `plot_customer_exposure` function. We see a large chunk (>60%) of customers haven't made another purchase in a while."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d6431c58",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 511,
"width": 1011
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 5))\n",
"(\n",
" rfm_data.sample(n=100, random_state=42)\n",
" .sort_values([\"recency\", \"T\"])\n",
" .pipe(clv.plot_customer_exposure, ax=ax, linewidth=0.5, size=0.75)\n",
");"
]
},
{
"cell_type": "markdown",
"id": "d069bc02",
"metadata": {},
"source": [
"## Predicting Future Purchasing Behavior with the BG/NBD Model\n",
"\n",
"This dataset is an example of continuous time, noncontractual transactions because it comprises purchases from an online music store. PyMC-Marketing provides two models for this use case:\n",
"\n",
"- [Beta-Geometric/Negative Binomial Distribution (BG/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)\n",
"- [Pareto/Negative Binomial Distribution (Pareto/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)\n",
"\n",
"We will be using the BG/NBD model in this notebook because it converges quickly and works well for basic modeling tasks. However, if a more comprehensive analysis is desired, consider using the Pareto/NBD model instead due to its expanded functionality, including support for covariates.\n",
"\n",
"Let's take a look at the underlying structure of the BG/NBD model:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "40d5f47d",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm = clv.BetaGeoModel(data=rfm_data)\n",
"\n",
"bgm.build_model()\n",
"bgm.graphviz()"
]
},
{
"cell_type": "markdown",
"id": "27369174",
"metadata": {},
"source": [
"The default priors for the `r` and `alpha` purchase rate parameters follow a HalfFlat distribution, which is an uninformative positive distribution. The `a` and `b` dropout parameters are pooled with the hierarchical `kappa_dropout` and `phi_dropout` priors for improved performance.\n",
"\n",
"More informative priors can be specified in a custom model configuration by passing a dictionary with keys for prior names, and values as distributions defined with the `Prior` class in PyMC-Marketing."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "3af6449f",
"metadata": {},
"outputs": [],
"source": [
"model_config = {\n",
" \"a_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"b_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"alpha_prior\": Prior(\"HalfNormal\", sigma=10),\n",
" \"r_prior\": Prior(\"HalfNormal\", sigma=10),\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "cc17d278",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" alpha ~ HalfNormal(0, 10)\n",
" r ~ HalfNormal(0, 10)\n",
" a ~ HalfNormal(0, 10)\n",
" b ~ HalfNormal(0, 10)\n",
"likelihood ~ Potential(f(r, alpha, b, a))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm = clv.BetaGeoModel(\n",
" data=rfm_data,\n",
" model_config=model_config,\n",
")\n",
"bgm.build_model()\n",
"bgm"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "cad20dc1-ebfd-436d-a364-0afd7ea4940e",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm.graphviz()"
]
},
{
"cell_type": "markdown",
"id": "9a75b798",
"metadata": {},
"source": [
"Having specified the model, we can now fit it."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d0667779",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [alpha, r, a, b]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e67a4db3fd39412db4f9336b2e1e24d8",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_expected_purchases_over_time(\n",
" model=bgm,\n",
" purchase_history=raw_trans,\n",
" datetime_col=\"date\",\n",
" customer_id_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
" t=78,\n",
");"
]
},
{
"cell_type": "markdown",
"id": "312b781f-7044-4aff-b08e-e3a29b916801",
"metadata": {},
"source": [
"There is a wide discrepancy between cumulative actual and predicted purchases! This is a good indicator of extraneous customers and/or date ranges to exclude from model training, and perhaps the need for additional covariates.\n",
"\n",
"\n",
"Let's plot incremental purchase dates for more insights:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "a3487622-29c7-41c3-a749-ca7b0990461d",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_expected_purchases_over_time(\n",
" model=bgm,\n",
" purchase_history=raw_trans,\n",
" datetime_col=\"date\",\n",
" customer_id_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
" t=78,\n",
" set_index_date=True,\n",
" plot_cumulative=False,\n",
");"
]
},
{
"cell_type": "markdown",
"id": "a8ee48b0-ede5-4490-a282-5898380430a2",
"metadata": {},
"source": [
"There was a large sales bump in the first few months that is biasing model results and should be investigated. However, notice purchases flatline in the following months and the model is still able to capture this trend. Simply excluding data prior to Apr 1997 should improve performance considerably, but for pedagogical purposes we will continue with the tutorial."
]
},
{
"cell_type": "markdown",
"id": "d5a0d8b6",
"metadata": {},
"source": [
"### Visualizing Prediction Matrices"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "75e7e1a2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 653
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_frequency_recency_matrix(bgm);"
]
},
{
"cell_type": "markdown",
"id": "0aa508f9",
"metadata": {},
"source": [
"We can see our best customers have been active for over 60 weeks and have made over 20 purchases (bottom-right). Note the “tail” sweeping up towards the upper-left corner - these customers are infrequent and/or may not have purchased recently. What is the probability they are still active? "
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "bcb184f3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 532
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_probability_alive_matrix(bgm)"
]
},
{
"cell_type": "markdown",
"id": "a25bd48f",
"metadata": {},
"source": [
"Note that all non-repeat customers have an alive probability of 1, which is one of the quirks of `BetaGeoModel`. In many use cases this is still a valid assumption, but if non-repeat customers are a key focus in your use case, you may want to try `ParetoNBDModel` instead. \n",
"\n",
"Looking at the probability alive matrix, we can infer that customers who have made fewer purchases are less likely to return, and may be worth targeting for retention."
]
},
{
"cell_type": "markdown",
"id": "c7906da7",
"metadata": {},
"source": [
"### Ranking customers from best to worst"
]
},
{
"cell_type": "markdown",
"id": "49313fc3",
"metadata": {},
"source": [
"Having fit the model, we can ask what is the expected number of purchases for our customers over the next 10 time periods. Let's look at the four more promising customers."
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "f9748513",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"