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The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
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An ideal Y-Y transformer, grounded through neutral impedances, displays per-unit sequence networks akin to those of a single-phase ideal transformer when subjected to balanced positive- or negative-sequence currents. These currents do not produce neutral currents, and their associated voltage drops.
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Privately vertically mining of sequential patterns based on differential privacy with high efficiency and utility.

Wenjuan Liang1,2, Wenke Zhang1,2, Songtao Liang3

  • 1College of Computer and Information Engineering, Henan University, Kaifeng, 475004, China.

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|October 19, 2023
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Summary

This study introduces privVertical, a novel approach for private sequential pattern mining. It enhances privacy and efficiency by combining vertical mining with differential privacy, improving data analysis accuracy.

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Area of Science:

  • Data Mining and Privacy-Preserving Technologies
  • Computer Science
  • Information Security

Background:

  • Sequential pattern mining is crucial for data analysis but raises privacy concerns due to sensitive sequential data.
  • Existing differential privacy (DP) solutions often use inefficient horizontal mining algorithms, limiting accuracy and efficiency.
  • There is a need for privacy-preserving sequential data analysis that balances strong privacy guarantees with high performance.

Purpose of the Study:

  • To propose a novel private sequential pattern mining scheme, privVertical, that combines vertical mining with differential privacy.
  • To enhance the efficiency and accuracy of privacy-preserving sequential pattern mining.
  • To ensure the proposed method satisfies rigorous privacy standards.

Main Methods:

  • Developed privVertical, a scheme integrating vertical mining algorithms with differential privacy.
  • Introduced a differentially private HashMap (privHashMap) using the Sparse Vector Technique to record noisy support counts.
  • Implemented pre-pruning of infrequent candidate sequences to reduce noise and improve accuracy.

Main Results:

  • PrivVertical avoids costly database scans and projections inherent in horizontal methods.
  • The privHashMap and Sparse Vector Technique improve the accuracy of frequent item recording.
  • Experiments demonstrate that privVertical achieves higher accuracy and efficiency at equivalent privacy levels.
  • Theoretical analysis confirms privVertical satisfies ε-differential privacy.

Conclusions:

  • PrivVertical offers an efficient and accurate solution for privacy-preserving sequential pattern mining.
  • The proposed method effectively addresses the limitations of existing DP solutions based on horizontal mining.
  • This approach enables sensitive sequential data analysis with strong privacy guarantees.