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Author Valle, M.A.; Ruz, G.A.; Rica, S.
Title Market basket analysis by solving the inverse Ising problem: Discovering pairwise interaction strengths among products Type Journal Article
Year 2019 Publication Physica A-Statistical Mechanics And Its Applications Abbreviated Journal Physica A
Volume 524 Issue Pages 36-44
Keywords Inverse Ising problem; Boltzmann machine; Transactional data base; Pairwise interaction; Minimum spanning tree; Purchase pattern
Abstract Large datasets containing the purchasing information of thousands of consumers are difficult to analyze because the possible number of different combinations of products is huge. Thus, market baskets analysis to obtain useful information and find interesting pattern of buying behavior could be a daunting task. Based on the maximum entropy principle, we build a probabilistic model that explains the probability of occurrence of market baskets which is equivalent to Ising models. This type of model allows us to understand and to explore the functional interactions among products that make up the market offer. Additionally, the parameters of the model inferred using Boltzmann learning, allow us to suggest that the buying behavior is very similar to the spin-glass physical system. Moreover, we show that the resulting parameters of the model could be useful to describe the hierarchical structure of the system which leads to interesting information about the different market baskets. (C) 2019 Elsevier B.V. All rights reserved.
Address [Valle, Mauricio A.] Univ Finis Terrae, Fac Econ & Negocios, Santiago, Chile, Email: mvalle@uft.cl
Corporate Author Thesis
Publisher Elsevier Place of Publication Editor
Language (up) English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0378-4371 ISBN Medium
Area Expedition Conference
Notes WOS:000476966100004 Approved no
Call Number UAI @ eduardo.moreno @ Serial 1022
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