Interdependences of Products in Market Baskets: Comparing the Conditional Restricted Boltzmann Machine to the Multivariate Logit Model

Q4 Business, Management and Accounting

Review of Marketing Science Pub Date : 2020-11-23 DOI:10.1515/roms-2020-0074

H. Hruschka

引用次数: 0

Abstract

Abstract We analyze market baskets of individual households in two consumer durables categories (music, computer related products) by the multivariate logit (MVL) model, its finite mixture extension (FM-MVL) and the conditional restricted Boltzmann machine (CRBM). The CRBM attains a vastly better out-of-sample performance than MVL and FM-MVL models. Based on simulation-based likelihood ratio tests we prefer the CRBM to the FM-MVL model. To interpret hidden variables of conditional Boltzmann machines we look at their average probability differences between purchase and non-purchases of any sub-category across all baskets. To measure interdependences we compute cross effects between sub-categories for the best performing FM-MVL model and CRBM. In both product categories the CRBM indicates more or higher positive cross effects than the FM-MVL model. Finally, we suggest appropriate future research based on larger and more detailed data sets.

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市场篮子中产品的相互依赖性：条件限制Boltzmann机与多元Logit模型的比较

摘要我们通过多元logit（MVL）模型、其有限混合扩展（FM-MVL）和条件限制玻尔兹曼机（CRBM）分析了两类耐用消费品（音乐、计算机相关产品）中单个家庭的市场篮子。CRBM获得了比MVL和FM-MVL型号更好的样品外性能。基于基于模拟的似然比测试，我们更喜欢CRBM而不是FM-MVL模型。为了解释条件玻尔兹曼机的隐藏变量，我们观察了所有篮子中任何子类别的购买和非购买之间的平均概率差异。为了衡量相互依赖性，我们计算了性能最佳的FM-MVL模型和CRBM的子类别之间的交叉效应。在这两种产品类别中，CRBM显示出比FM-MVL模型更多或更高的正交叉效应。最后，我们建议基于更大、更详细的数据集进行适当的未来研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Review of Marketing Science Business, Management and Accounting-Marketing

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： The Review of Marketing Science (ROMS) is a peer-reviewed electronic-only journal whose mission is twofold: wide and rapid dissemination of the latest research in marketing, and one-stop review of important marketing research across the field, past and present. Unlike most marketing journals, ROMS is able to publish peer-reviewed articles immediately thanks to its electronic format. Electronic publication is designed to ensure speedy publication. It works in a very novel and simple way. An issue of ROMS opens and then closes after a year. All papers accepted during the year are part of the issue, and appear as soon as they are accepted. Combined with the rapid peer review process, this makes for quick dissemination.