Abstract

Zipf-like distributions characterize a wide set of phenomena in physics, biology, economics, and social sciences. In human activities, Zipf's law describes, for example, the frequency of appearance of words in a text or the purchase types in shopping patterns. In the latter, the uneven distribution of transaction types is bound with the temporal sequences of purchases of individual choices. In this work, we define a framework using a text compression technique on the sequences of credit card purchases to detect ubiquitous patterns of collective behavior. Clustering the consumers by their similarity in purchase sequences, we detect five consumer groups. Remarkably, post checking, individuals in each group are also similar in their age, total expenditure, gender, and the diversity of their social and mobility networks extracted from their mobile phone records. By properly deconstructing transaction data with Zipf-like distributions, this method uncovers sets of significant sequences that reveal insights on collective human behavior.

Highlights

  • Zipf-like distributions characterize a wide set of phenomena in physics, biology, economics, and social sciences

  • We show that the selection of significant sequences is a critical step in the process; it improves the the frequency-inverse document frequency (TF-IDF) method that is not able to discern the spending habits within the data

  • We analyze the chronological sequence of their transactions and the associated expenditure labeled with the transaction type via a Merchant Category Code (MCC)[29]

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Summary

Introduction

Zipf-like distributions characterize a wide set of phenomena in physics, biology, economics, and social sciences. Consumers’ habits are shown to be highly predictable[19], and groups that share work places have similar purchase behavior[20] These results allowed defining the spatial–temporal features to improve the estimates of the individual’s financial well-being[21]. It has been measured by individual surveys and confirmed by credit card and cash data that the vast majority of daily purchases is dominated by food and followed by mobility and communication–social activities[13,22]. The challenge at hand is to obtain meaningful information within these highly uneven spending frequencies to capture a comprehensive picture of their shopping styles related to socio-economic dynamics within the city

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