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@ricsi98
Created October 31, 2023 16:13
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Homework Assignment: Salary Classification
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{
"cells": [
{
"cell_type": "markdown",
"id": "9be3e208-b203-4ff1-972e-b5a28734e169",
"metadata": {},
"source": [
"# Introduction\n",
"\n",
"In this notebook, you can review my solution for the homework assignment. My approach began with conducting an initial analysis of patterns in the data. My primary contribution was in the field of feature engineering: I introduced both low and high-level features that could prove valuable for the salary classification task. Once these features were created, I implemented a straightforward scoring strategy to assess the likelihood that a transaction is a salary. Additionally, I've included some drafts that were not fully elaborated upon."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "625aa30c-65d4-4b95-bd19-75b12494c1d4",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import statsmodels.api as sm\n",
"from scipy import fft\n",
"from collections import Counter\n",
"from sklearn.cluster import AgglomerativeClustering\n",
"from tqdm import tqdm\n",
"from scipy.signal import find_peaks"
]
},
{
"cell_type": "markdown",
"id": "244a2004-a217-4bed-8cef-0c4eeacd1f61",
"metadata": {},
"source": [
"# Load and preprocess data\n",
"Here I load the dataset and add some helpful features for further analysis."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "134b422a-108c-416d-84ef-fb69a857897c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>date</th>\n",
" <th>recipient</th>\n",
" <th>amount</th>\n",
" <th>sender</th>\n",
" <th>week</th>\n",
" <th>day_of_week</th>\n",
" <th>day_of_month</th>\n",
" <th>day_of_year</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2023-10-03</td>\n",
" <td>725866593</td>\n",
" <td>14462</td>\n",
" <td>222382928</td>\n",
" <td>40</td>\n",
" <td>1</td>\n",
" <td>3</td>\n",
" <td>276</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2023-09-28</td>\n",
" <td>313567829</td>\n",
" <td>9965</td>\n",
" <td>222382928</td>\n",
" <td>39</td>\n",
" <td>3</td>\n",
" <td>28</td>\n",
" <td>271</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2023-09-28</td>\n",
" <td>855015364</td>\n",
" <td>10835</td>\n",
" <td>222382928</td>\n",
" <td>39</td>\n",
" <td>3</td>\n",
" <td>28</td>\n",
" <td>271</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2023-09-19</td>\n",
" <td>414606140</td>\n",
" <td>18320</td>\n",
" <td>222382928</td>\n",
" <td>38</td>\n",
" <td>1</td>\n",
" <td>19</td>\n",
" <td>262</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2023-10-03</td>\n",
" <td>414606140</td>\n",
" <td>14635</td>\n",
" <td>227644247</td>\n",
" <td>40</td>\n",
" <td>1</td>\n",
" <td>3</td>\n",
" <td>276</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" date recipient amount sender week day_of_week day_of_month \\\n",
"0 2023-10-03 725866593 14462 222382928 40 1 3 \n",
"1 2023-09-28 313567829 9965 222382928 39 3 28 \n",
"2 2023-09-28 855015364 10835 222382928 39 3 28 \n",
"3 2023-09-19 414606140 18320 222382928 38 1 19 \n",
"4 2023-10-03 414606140 14635 227644247 40 1 3 \n",
"\n",
" day_of_year \n",
"0 276 \n",
"1 271 \n",
"2 271 \n",
"3 262 \n",
"4 276 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv(\"./transactions_synthetic.tsv\", sep=\"\\t\")\n",
"df[\"date\"] = pd.to_datetime(df[\"date\"], format=\"%Y-%m-%d\")\n",
"\n",
"# Create additional features that will be useful in the analysis\n",
"df[\"week\"] = df.date.dt.isocalendar().week\n",
"df[\"day_of_week\"] = df.date.dt.day_of_week\n",
"df[\"day_of_month\"] = df.date.dt.day\n",
"df[\"day_of_year\"] = df.date.dt.day_of_year\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"id": "d9338323-34b7-4c2a-96ce-21d2090d3442",
"metadata": {},
"source": [
"Here I implement a function for resampling the signal with regular intervals. This will be useful later."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "6dafcfd5-ccfa-4e30-aac0-c486be706aa9",
"metadata": {},
"outputs": [],
"source": [
"# resample signal with fixed sample rate (signals in the dataset are sampled irregularly)\n",
"def resample(df, c=\"day_of_year\", aggregation=\"count\"):\n",
" if aggregation == \"count\":\n",
" z = df.groupby(c).recipient.count()\n",
" elif aggregation == \"sum\":\n",
" z = df.groupby(c).amount.sum()\n",
" else:\n",
" raise ValueError()\n",
" return np.trim_zeros(z.reindex(np.arange(0,365)).fillna(0))"
]
},
{
"cell_type": "markdown",
"id": "630cf873-6626-4276-87c9-056267d1dc41",
"metadata": {},
"source": [
"# Looking into the data, forming insights"
]
},
{
"cell_type": "markdown",
"id": "e01be4da-d8db-41a7-ab98-c494e190c425",
"metadata": {},
"source": [
"## Daily breakdown\n",
"The next plot displays a daily breakdown of transaction volume over the given period. From the figure we can guess that it is composed of 2 main signals and noise:\n",
"1. The large peaks are approximately 30 day apart\n",
"2. A shorter period (probably weekly) can also be observed with a smaller amplitude"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c41e201d-a578-41ae-89df-b4f4aa3f0949",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series = resample(df)\n",
"plt.plot(series)\n",
"plt.ylabel(\"Number of transactions\")\n",
"plt.xlabel(\"Day of year\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "4c4449f3-8e3f-42e6-b671-e8f12b8919ae",
"metadata": {},
"source": [
"In order to validate the presence of the aforementioned components within the dataset, I generated a plot illustrating the autocorrelation values for lags spanning up to 40 periods. This range was chosen to encompass both the weekly and monthly recurring patterns.\n",
"\n",
"Indeed there are significant autocorrelation values for 7 days, corresponding to the weekly cycle, and at 28 and 35 days, aligning with monthly patterns. Additionally, negative autocorrelation is observed at lags of 12 and 16 days. This negative correlation can be attributed to the observation that between two prominent spikes, there is a reduction in the number of transactions relative to the spikes. When analyzing these half-month periods, if a spike is present, a subsequent decline in transaction volume is expected. Conversely, if the transaction volume was low half a month ago, it suggests an impending spike."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "1bb8ec10-6e50-4bb1-8797-59ca193cdfad",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series = resample(df)\n",
"sm.graphics.tsa.plot_acf(series, lags=40, alpha=0.01)\n",
"plt.grid(True)\n",
"plt.xlabel(\"Lag (days)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d4385705-b6bb-4021-a8ed-36826b938674",
"metadata": {},
"source": [
"Capturing patterns in monthly payments with autocorrelation can be tricky: different months are of different lengths thus the period between two transaction might be only 29 days in one month while 31 in an other (not to mention noise introduced by weekends). Autocorrelation is sensitive to such noise in the period length. To address this one thing we can do is to undersample the data, for example by working with weeks instead of days will make our analysis more robust to such variance, but also it has its downsides too: if we have a signal with period <= than a week, we can't really capture it."
]
},
{
"cell_type": "markdown",
"id": "2297b5a7-fd1e-4a47-b55f-18af4231af66",
"metadata": {},
"source": [
"## Weekly breakdown\n",
"From the weekly volume breakdown we clearly can see the 4 week periodic pattern."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1f016f4c-55aa-4e38-9402-a02fdd663e95",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(resample(df, c=\"week\"))\n",
"plt.ylabel(\"Number of transactions\")\n",
"plt.xlabel(\"Week of year\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "19e536bb-250c-4247-8581-7e6522f4132f",
"metadata": {},
"source": [
"Examining the autocorrelation plot reaffirms the presence of the two previously mentioned phenomena. The strong autocorrelation at the monthly (4-week) interval reflects the recurring monthly pattern in the transactions. Additionally, the pronounced bi-weekly negative correlation can be attributed to the distinctive peak-followed-by-a-steep-valley pattern observed in the data."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a34c3f42-cb0d-4d57-a7bc-18960319d9f0",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sm.graphics.tsa.plot_acf(resample(df, c=\"week\"), lags=10, alpha=0.05)\n",
"plt.xlabel(\"Lag (weeks)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "56473af9-4d58-4ae8-90e2-a4cadcae1331",
"metadata": {},
"source": [
"## Looking at days of the month"
]
},
{
"cell_type": "markdown",
"id": "a8670eb5-ebd1-40e6-aae6-6373d428ea5e",
"metadata": {},
"source": [
"In the following plot we can see a breakdown of the transaction volumes over days of a month. A discernible trend emerges from the data, indicating a significant surge in transactions toward the end of each month, extending into the first two days of the following month. This pattern may be attributed to salary payments, aligning neatly with the conventional practice of employers issuing salaries at month-end. In instances where the month's end coincides with a weekend, this practice occasionally leads to a delay, thereby explaining the peak observed in the early days of the subsequent month."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "790721a2-34ca-4251-840a-2b975a080463",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(resample(df, c=\"day_of_month\"))\n",
"plt.ylabel(\"Number of transactions\")\n",
"plt.xlabel(\"Day of month\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "35ead425-19bf-45d5-bc01-039990b00128",
"metadata": {},
"source": [
"# Solution"
]
},
{
"cell_type": "markdown",
"id": "82e1dcc6-6820-4bd0-94a8-c6932028bcc1",
"metadata": {},
"source": [
"To identify transactions that correspond to salaries, I created new features that might indicate whether a transaction is a salary:\n",
"- *is_weekday*\n",
"- *is_between*: In the previous diagram, we observed increased transaction volumes between the 25th and the 2nd day of the month.\n",
"- From the perspective of the sender:\n",
" - *impulse_factor*: This feature, calculated per sender, represents the maximum to mean number of transactions. It indicates how large the transaction peaks are compared to the average number of transactions. If a sender has high *impulse_factor* that indicates that it is more likely to be a \"bulk\" sender rather than sending transactions evenly over a period of time.\n",
" - *sender_daily_traffic*: In this feature I calculate the ratio of the transactions of the given day to the mean number of transactions per sender: $\\frac{daily\\_volume}{mean\\_volume}$. With this we can capture days that have much more transactions than an average day (for example salary days). Note that the scale of this value can vary across companies, we could normalize it by dividing the *impulse_factor* but I chose to leave it this way so senders with more homogenous payment patterns will have smaller values than senders that transact high volumes less often.\n",
" - *n_transactions_sender*: This feature counts the number of transactions by the sender in the dataset. It can help distinguish between large and small senders, as larger transaction volumes might indicate large companies.\n",
"- From the perspective of the recipient\n",
" - *is_recurring*: This feature determines whether a transaction is likely part of a recurring transaction sequence (per recipient). Further details are provided later. This is particularly useful because salaries are inherently recurring transactions.\n",
" - *recurrence_length*: if the transaction is recurring, how many transactions in this sequence was observed total.\n",
" - *recurrence_group_id*: if a transaction is recurring, which other transactions belong to the same recurring transaction sequence. If it is not recurring, the value is -1.\n",
" - *recurrence_period*: what is the period in the recurring transaction (NOT IMPLEMENTED)\n",
" - *n_transactions_recipient*: This feature counts the number of transactions by the recipient in the dataset."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "d5c79387-3292-43f9-b1b1-96fef001475f",
"metadata": {},
"outputs": [],
"source": [
"# Features: is_weekday, is_between\n",
"df[\"is_weekday\"] = ~df.day_of_week.isin([6,7])\n",
"df[\"is_between\"] = (df.day_of_month <= 2) | (df.day_of_month >= 25)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "dc84e1a7-15e3-4cd6-8cde-239f78362ecc",
"metadata": {},
"outputs": [],
"source": [
"# Features: impulse_factor, n_transactions_sender\n",
"def impulse_factor(x):\n",
" # Compare the height of a peak to the mean level of the signal.\n",
" return x.max() / x.mean()\n",
"\n",
"ifs = pd.DataFrame(\n",
" [\n",
" (impulse_factor(\n",
" resample(df[df.sender==s])\n",
" ),\n",
" (df.sender == s).sum(),\n",
" s) for s in df.sender.unique().tolist()\n",
" ],\n",
" columns=[\"impulse_factor\", \"n_transactions_sender\", \"sender\"]\n",
")\n",
"\n",
"ifs.to_csv(\"impulse.csv\",index=False)\n",
"\n",
"df = df.merge(ifs, on=\"sender\", how=\"left\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0163d388-a1c9-48f1-b3d6-ae9fce92602e",
"metadata": {},
"outputs": [],
"source": [
"# Features: n_transactions_recipient\n",
"gb = df.groupby(\"recipient\").amount.count().reset_index()\n",
"gb.rename({\"amount\": \"n_transactions_recipient\"}, inplace=True, axis=1)\n",
"df = df.merge(gb, on=\"recipient\", how=\"left\")"
]
},
{
"cell_type": "markdown",
"id": "2a4badda-b133-4f6d-b053-79105581787e",
"metadata": {},
"source": [
"## Daily traffic"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "448a6938-40b5-4cf3-911d-3bd092ea04fc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"182\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|████████████████████████████████████| 65981/65981 [03:43<00:00, 295.78it/s]\n"
]
}
],
"source": [
"# Features: sender_daily_traffic\n",
"\n",
"L = (df.date.max() - df.date.min()).days\n",
"print(L)\n",
"\n",
"def compute_daily_traffic(counts):\n",
" mean = np.mean(list(counts.values()) + [0] * (L - len(counts)))\n",
" return {k: v / mean for k,v in counts.items()}\n",
"\n",
"for sender in tqdm(df.sender.unique()):\n",
" mask = (df.sender == sender)\n",
" q = df[mask]\n",
" counts = q.groupby(\"date\").recipient.count().to_dict()\n",
" traffic = compute_daily_traffic(counts)\n",
" df.loc[mask, \"sender_daily_traffic\"] = q.date.map(traffic)"
]
},
{
"cell_type": "markdown",
"id": "83a21b94-d919-48d5-a867-100973136ec2",
"metadata": {},
"source": [
"In the next plot I visualized the *sender_daily_traffic* feature for a given sender. You can modify the `SENDER` variable below to look at different senders."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "ae4ec60e-f3a6-4dc3-9930-db286b49c6ec",
"metadata": {},
"outputs": [],
"source": [
"SENDER = 65273807 # 615262699"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "601c13af-79e4-4a06-8611-ecf232db65f9",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plots\n",
"\n",
"q = df[df.sender==SENDER]\n",
"series = resample(q)\n",
"\n",
"height = np.percentile(series, 97)\n",
"locations, meta = find_peaks(series, height=height, distance=5)\n",
"locations = [series.index[x] for x in locations.tolist()]\n",
"\n",
"plt.subplot(2, 1, 1)\n",
"plt.title(f\"Sender {SENDER}\")\n",
"plt.plot(series.index, series.values)\n",
"plt.scatter(locations, meta[\"peak_heights\"], marker=\"x\", c=\"red\")\n",
"\n",
"plt.xlabel(\"Day of year\")\n",
"plt.ylabel(\"Number of transactions\")\n",
"\n",
"# sender_daily_traffic\n",
"plt.subplot(2, 1, 2)\n",
"q2 = q.groupby(\"day_of_year\").sender_daily_traffic.first()\n",
"plt.scatter(q2.index, q2.values)\n",
"plt.xlabel(\"Day of year\")\n",
"plt.ylabel(\"sender_daily_traffic\")\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5a753d73-4bb7-4a98-a402-1aa3cfa21136",
"metadata": {},
"source": [
"### Recurring transactions\n",
"To identify recurring transactions from the recipient's perspective, we need to establish a definition for what constitutes a recurring transaction. My definition is as follows: a set of transactions is considered a set of recurring transactions if the following criteria are met:\n",
"1. The set consists of at least $T_1$ transactions.\n",
"2. The transactions exhibit nearly identical amounts, with a standard deviation of less than $T_2$%.\n",
"3. When the transactions are arranged by date, the time intervals between neighboring transactions have low variance, with a standard deviation of less than $T_3$.\n",
"4. The transactions originate from the same sender.\n",
"\n",
"In this simple model, $T_1$, $T_2$, and $T_3$ represent parameters, and by adjusting these values, we can control the level of strictness in our definition of recurring transactions.\n",
"\n",
"We could make modifications to this model; however, I believe it is reasonable as it stands. For example, this model may not be able to detect salaries if a company has multiple accounts due to criterion 4. Additionally, consider a scenario in which we have a monthly recurring transaction, but it is missed in one month and then continues in the next month. Since our dataset spans six months, the missing transaction in one month would result in a very high variance for criterion 3, potentially causing us to miss labeling it as a recurring transaction.\n",
"\n",
"To address these issues, we would need to refine the model. However, for this homework assignment, I am satisfied with the current level of complexity.\n",
"\n",
"#### Implementation\n",
"I implemented an algorithm that iteratively removes transactions from the recipient's transaction history until the four criteria mentioned above are met, or until we have exhausted the available transactions. If there are fewer transactions remaining than $T_1$, we label the remaining transactions as non-recurring. However, if we arrive at a set of transactions that can be considered recurring, we first label them and then remove them from all of the recipient's transactions. We repeat this algorithm until we have labeled each transaction. To remove transactions, I use a heuristic to ensure that we do not drop transactions that are likely to be recurring.\n",
"\n",
"The heuristic works as follows: I initially employ agglomerative clustering to group the remaining transactions based solely on their transaction amounts. Next, I identify a transaction from a minority cluster to remove. This approach ensures that we do not discard 'promising' transactions prematurely.\n",
"\n",
"*Not implemented: we could also introduce thresholds to the minimal and maximal length for the period of recurring transactions. For example we could say we are not interested in transactions that occur daily, we could set the lower threshold to 3 etc.*"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "716f0dbe-b328-4d5c-97b2-9e9bb70f6dc4",
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"outputs": [],
"source": [
"# Implementation\n",
"DISTANCE_THRESHOLD = 500\n",
"\n",
"def get_clustering(data):\n",
" if len(data.shape) < 2:\n",
" data = data.reshape(-1,1)\n",
" return AgglomerativeClustering(distance_threshold=DISTANCE_THRESHOLD, n_clusters=None).fit_predict(data)\n",
"\n",
"\n",
"def s_amount(df):\n",
" mean = df.amount.mean()\n",
" std = df.amount.std()\n",
" return np.where(mean > 0, std / mean, std)\n",
"\n",
"def s_time(df):\n",
" return np.diff(df.sort_values(\"day_of_year\").day_of_year).std()\n",
"\n",
"\n",
"class RecurrentTransactionsModel:\n",
"\n",
" def __init__(self, length_threshold, amount_std_threshold, time_std_threshold):\n",
" self.ta = amount_std_threshold\n",
" self.tt = time_std_threshold\n",
" self.tl = length_threshold\n",
"\n",
" def _validate(self, df):\n",
" if s_amount(df) > self.ta:\n",
" return False\n",
" if s_time(df) > self.tt:\n",
" return False\n",
" if len(df) < self.tl:\n",
" return False\n",
" return True\n",
"\n",
" def _reduce_step(self, df):\n",
" df = df.reset_index(drop=True)\n",
" c = get_clustering(df.amount.values).tolist()\n",
" remove_cluster = Counter(c).most_common()[-1][0]\n",
" remove_index = c.index(remove_cluster)\n",
" return df.drop(remove_index)\n",
"\n",
" def _reduce(self, df):\n",
" while len(df) > 1 and not self._validate(df):\n",
" df = self._reduce_step(df)\n",
" return df\n",
"\n",
" def predict(self, df):\n",
" per_group = []\n",
" for sender, group in df.groupby(\"sender\"):\n",
" group = group.reset_index()\n",
" g = group.copy()\n",
" remove_ids = []\n",
" while len(g) > self.tl:\n",
" g = self._reduce(g)\n",
" ids = g[\"index\"].tolist()\n",
" if len(g) > self.tl:\n",
" per_group.append(ids)\n",
" remove_ids += ids\n",
" g = group[~group[\"index\"].isin(remove_ids)]\n",
" \n",
" def label(id_):\n",
" for i, g in enumerate(per_group):\n",
" if id_ in g:\n",
" return i, len(g)\n",
" return -1, 0\n",
"\n",
" group_ids, recurrence_lengths = list(zip(*list(map(label, df.index.tolist()))))\n",
" return np.array(group_ids) > -1, np.array(group_ids), np.array(recurrence_lengths)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "70238a0e-3062-402b-b4d3-e3cf949370b3",
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"# Features: is_recurring, recurrence_length, recurrence_group_id\n",
"T1, T2, T3 = 3, 0.05, 3\n",
"\n",
"m = RecurrentTransactionsModel(T1, T2, T3)\n",
"offset = 0\n",
"for rid in tqdm(df.recipient.unique()):\n",
" mask = df.recipient == rid\n",
" q = df[mask]\n",
" is_recurring, group_ids, recurrence_lengths = m.predict(q)\n",
" incr = group_ids.max() + 1\n",
" group_ids = np.where(group_ids > -1, group_ids + offset, -1)\n",
" offset += incr\n",
" df.loc[mask, [\"is_recurring\", \"recurrence_length\", \"recurrence_group_id\"]] = np.stack((is_recurring, recurrence_lengths, group_ids), axis=1)"
]
},
{
"cell_type": "markdown",
"id": "d4822cb2-7197-40fd-83bd-57307714d117",
"metadata": {},
"source": [
"In the cell below, you can assess the effectiveness of our recurring transaction detection. In the plot, each transaction is labeled with an ID, and a label of -1 corresponds to non-recurring transactions."
]
},
{
"cell_type": "code",
"execution_count": 114,
"id": "6cf13106-602a-4a9d-afde-eae07c295829",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"395828130\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Transactions of recipient=395828130. Colors depict different inferred recurrence groups.'}, xlabel='day_of_year', ylabel='amount'>"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# is_recurring\n",
"import random\n",
"import seaborn as sns\n",
"RID = random.choice(df.recipient.tolist())\n",
"\n",
"print(RID)\n",
"\n",
"m = RecurrentTransactionsModel(T1,T2,T3)\n",
"q = df[df.recipient == RID]\n",
"_, group_id, _ = m.predict(q)\n",
"plt.title(f\"Transactions of recipient={RID}. Colors depict different inferred recurrence groups.\")\n",
"sns.scatterplot(x=q.day_of_year, y=q.amount, hue=group_id.astype(str))"
]
},
{
"cell_type": "markdown",
"id": "990a4896-b938-4eb2-a1cf-0ad45a1959e6",
"metadata": {},
"source": [
"# Labelling salaries\n",
"\n",
"Moving forward, we can utilize the features we previously created to identify whether a transaction qualifies as a salary. In an ideal scenario, with labeled transactions, we could employ a machine learning model to learn the classification function based on these features. However, as we don't have labeled data at our disposal, I've devised a *salary_score* that combines some of the previously constructed features. Transactions with high scores will be labeled as salaries. Collaborating with a domain expert could further enhance the accuracy of our model using these features.\n",
"\n",
"The *salary_score* is constructed based on four properties:\n",
"\n",
"- The transaction occurs on a weekday.\n",
"- It falls between the 25th and 2nd of the month.\n",
"- It exhibits a recurring pattern.\n",
"- It takes place on a day when the sender has a substantial number of other transactions.\n",
"\n",
"Additionally, I have the option of making recurrence a mandatory property. In this case, I would multiply the *salary_score* by the *is_recurring* flag."
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "ffa2193d-bfee-4f92-b773-db8d0f6714c0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2 150220\n",
"3 143591\n",
"4 74561\n",
"1 53031\n",
"0 6228\n",
"Name: salary_score, dtype: int64"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s1 = df.is_weekday.astype(int)\n",
"s2 = df.is_between.astype(int)\n",
"s3 = df.is_recurring.astype(int)\n",
"s4 = (df.sender_daily_traffic / df.impulse_factor > 0.75).astype(int)\n",
"df[\"salary_score\"] = s1 + s2 + s3 + s4\n",
"df.salary_score.value_counts()"
]
},
{
"cell_type": "markdown",
"id": "67ca2d5a-f4d4-4e1f-b97b-ab3192c1ccc7",
"metadata": {},
"source": [
"Setting the threshold at 3 allows us to deduce that all transactions labeled as salaries adhere to a minimum of three of the properties we have defined for salary transactions:"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "87a310cd-cb51-4952-82d4-d269f255802d",
"metadata": {},
"outputs": [],
"source": [
"df[\"is_salary\"] = df.salary_score >= 3"
]
},
{
"cell_type": "markdown",
"id": "5088e0f2-df00-4e47-8640-77d5c6f726e6",
"metadata": {},
"source": [
"# Drafts\n",
"\n",
"From here, you can see some ideas that are not fully developed. I'm leaving them in the notebook so you can gain more insight into my thought process."
]
},
{
"cell_type": "markdown",
"id": "23345b89-99a5-4d2a-9c87-7acc8e1273fc",
"metadata": {},
"source": [
"## Draft 1\n",
"I wanted to check if there is a distinct separation between high and low amount senders, also wanted to check if they can be further separated by the median time between their transactions. It turned out to be a quite continous distribution, I didn't see any major separation so I dropped this idea."
]
},
{
"cell_type": "code",
"execution_count": 93,
"id": "edf73492-2974-4188-ad3c-aba65ae8d15c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'median amount')"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = df.sort_values(\"date\")\n",
"median_frequency = df.groupby(\"sender\").date.apply(lambda x: x.diff().median() / np.timedelta64(1, 'D') if len(x) > 1 else 0)\n",
"average_amount = df.groupby(\"sender\").amount.median().values\n",
"\n",
"plt.scatter(median_frequency, average_amount)\n",
"plt.yscale(\"log\")\n",
"plt.xlabel(\"median frequency (Days)\")\n",
"plt.ylabel(\"median amount\")"
]
},
{
"cell_type": "markdown",
"id": "53006f03-9cd3-4caf-a78b-a1f7490def83",
"metadata": {},
"source": [
"## Draft 2\n",
"I started analyzing the transaction data from a network perspective: nodes are senders/recipients and links correspond to transactions. First I checked if the graph is weakly connected but it's not, there are many small components. If this was a real scenario I would say this is because we only have data about a smaller segment of the \"world\", the links that connect the small components to a larger network are not observed in our slice of data.\n",
"\n",
"However, a pretty large weakly connected component of ~80k nodes is present in the graph, this I could have used for further analysis. I decided to not go in this direction."
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "ef54cbc9-2553-4491-b547-0332a2182246",
"metadata": {},
"outputs": [],
"source": [
"import networkx as nx\n",
"\n",
"g = nx.DiGraph()\n",
"g.add_edges_from((row.sender, row.recipient, {\"amount\": row.amount}) for (_, row) in df.iterrows())"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "6a763a3b-0c96-4e13-bfc1-8e72cb82c016",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4358"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nx.number_connected_components(g.to_undirected())"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "b8ecf8a1-b1ef-4a83-8ebe-5292c0f46b6f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The large component consists of 87688 nodes.\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Component size')"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sizes = []\n",
"for comp in nx.weakly_connected_components(g):\n",
" sizes.append(len(comp))\n",
"\n",
"print(f\"The large component consists of {max(sizes)} nodes.\")\n",
"\n",
"# Here I remove the big component so it does not distort our diagram\n",
"sizes = sorted(sizes)[:-1]\n",
"\n",
"plt.hist(sizes)\n",
"plt.yscale(\"log\")\n",
"plt.ylabel(\"Occurence\")\n",
"plt.xlabel(\"Component size\")"
]
},
{
"cell_type": "markdown",
"id": "282d80d2-4a24-4e6f-bb82-125a68d5b568",
"metadata": {},
"source": [
"## Draft 3\n",
"Here I thought it would be interesting to group nodes together into communities, and see how the inter- and intra-community transactions (net flow) looks like."
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "06426927-5831-4f23-bb41-2c7268d0d300",
"metadata": {},
"outputs": [],
"source": [
"# Warning: This cell takes a long time to run!\n",
"ung = g.to_undirected()\n",
"communities = []\n",
"for i, comm in enumerate(nx.community.greedy_modularity_communities(ung, weight=\"amount\")):\n",
" for node in comm:\n",
" communities.append((i,node))\n",
"\n",
"communities = pd.DataFrame(communities, columns=[\"community\", \"node\"])"
]
},
{
"cell_type": "markdown",
"id": "4c0a068e-dbf3-4251-a00e-d9b7b58546bf",
"metadata": {},
"source": [
"Here I merge small communities, keeping only the 149 most important communities"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "66f3e26e-ffca-466f-8567-47ac759c3b95",
"metadata": {},
"outputs": [],
"source": [
"THRESHOLD = 150\n",
"vc = communities.copy()\n",
"vc[\"community\"] = vc.community.map(lambda x: min(x, THRESHOLD))\n",
"node_communities = vc.set_index(\"node\").to_dict()[\"community\"]\n",
"df[\"c_recipient\"] = df.recipient.map(node_communities)\n",
"df[\"c_sender\"] = df.sender.map(node_communities)"
]
},
{
"cell_type": "markdown",
"id": "c2cfb8b9-2ae7-4548-9207-bde839a80c9c",
"metadata": {},
"source": [
"In this plot, I've displayed the logarithm of the cash flow between communities. This visualization reveals the presence of a limited number of communities that serve as network hubs, characterized by high degrees. This observation implies that the resulting network exhibits a scale-free structure, akin to many real-world networks studied in the literature."
]
},
{
"cell_type": "code",
"execution_count": 95,
"id": "d92085b3-9ee2-4508-891f-2eec34983987",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f9aa5fdd660>"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mat = df.groupby([\"c_recipient\", \"c_sender\"]).sum().reset_index().pivot(\"c_recipient\", \"c_sender\", \"amount\").fillna(0).values\n",
"\n",
"plt.matshow(np.log(mat + 1))\n",
"plt.title(\"Logarithmic inter-community cash flow\")\n",
"plt.xlabel(\"Recipient community\")\n",
"plt.ylabel(\"Sender community\")\n",
"plt.colorbar()"
]
}
],
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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