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Polynomial association rules with applications to logistic regression

Published: 20 August 2006 Publication History

Abstract

A new class of associations (polynomial itemsets and polynomial association rules) is presented which allows for discovering nonlinear relationships between numeric attributes without discretization. For binary attributes, proposed associations reduce to classic itemsets and association rules. Many standard association rule mining algorithms can be adapted to finding polynomial itemsets and association rules. We applied polynomial associations to add non-linear terms to logistic regression models. Significant performance improvement was achieved over stepwise methods, traditionally used in statistics, with comparable accuracy.

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Cited By

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  • (2022)Association Rule Mining Meets Regression Analysis: An Automated Approach to Unveil Systematic Biases in Decision-Making ProcessesJournal of Cybersecurity and Privacy10.3390/jcp20100112:1(191-219)Online publication date: 21-Mar-2022
  • (2014)Introduction to Pattern MiningBusiness Intelligence10.1007/978-3-319-05461-2_1(1-32)Online publication date: 2014
  • (2013)Model selection for logistic regression via association rules analysisJournal of Statistical Computation and Simulation10.1080/00949655.2012.66223183:8(1415-1428)Online publication date: Aug-2013
  • Show More Cited By

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    cover image ACM Conferences
    KDD '06: Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
    August 2006
    986 pages
    ISBN:1595933395
    DOI:10.1145/1150402
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    New York, NY, United States

    Publication History

    Published: 20 August 2006

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    Author Tags

    1. association rules
    2. continuous attributes

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    View all
    • (2022)Association Rule Mining Meets Regression Analysis: An Automated Approach to Unveil Systematic Biases in Decision-Making ProcessesJournal of Cybersecurity and Privacy10.3390/jcp20100112:1(191-219)Online publication date: 21-Mar-2022
    • (2014)Introduction to Pattern MiningBusiness Intelligence10.1007/978-3-319-05461-2_1(1-32)Online publication date: 2014
    • (2013)Model selection for logistic regression via association rules analysisJournal of Statistical Computation and Simulation10.1080/00949655.2012.66223183:8(1415-1428)Online publication date: Aug-2013
    • (2013)Consistency of the estimator of binary response models based on AUC maximizationStatistical Methods & Applications10.1007/s10260-013-0229-422:3(381-390)Online publication date: 2-Feb-2013
    • (2008)Minimum variance associationsProceedings of the 12th Pacific-Asia conference on Advances in knowledge discovery and data mining10.5555/1786574.1786594(172-183)Online publication date: 20-May-2008
    • (2008)Minimum Variance Associations — Discovering Relationships in Numerical DataAdvances in Knowledge Discovery and Data Mining10.1007/978-3-540-68125-0_17(172-183)Online publication date: 2008
    • (2007)TwainACM Transactions on Knowledge Discovery from Data10.1145/1267066.12670691:2(8-es)Online publication date: 1-Aug-2007
    • (2007)Efficient AUC Optimization for ClassificationKnowledge Discovery in Databases: PKDD 200710.1007/978-3-540-74976-9_8(42-53)Online publication date: 2007
    • (undefined)Consistency of AUC Maximization as an Estimator of Binary Choice ModelsSSRN Electronic Journal10.2139/ssrn.1991051

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