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The Shape of Consumer Behavior: A Symbolic and Topological Analysis of Time Series

2025/06/24 by Pola Bereta, Bereta, Pola, Ioannis Diamantis +1 · 2 citations
Computer Science · #55N31 #62H30 #91B42 #91C20 #Advanced Text Analysis Techniques #Applications (stat.AP) #FOS: Computer and information sciences #FOS: Mathematics #G.3 #I.5.1 #I.5.3 #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2506.19759

openalex publication_date 2025/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Understanding temporal patterns in online search behavior is crucial for real-time marketing and trend forecasting. Google Trends offers a rich proxy for public interest, yet the high dimensionality and noise of its time-series data present challenges for effective clustering. This study evaluates three unsupervised clustering approaches, Symbolic Aggregate approXimation (SAX), enhanced SAX (eSAX), and Topological Data Analysis (TDA), applied to 20 Google Trends keywords representing major consumer categories. Our results show that while SAX and eSAX offer fast and interpretable clustering for stable time series, they struggle with volatility and complexity, often producing ambiguous ``catch-all'' clusters. TDA, by contrast, captures global structural features through persistent homology and achieves more balanced and meaningful groupings. We conclude with practical guidance for using symbolic and topological methods in consumer analytics and suggest that hybrid approaches combining both perspectives hold strong potential for future applications.

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