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Updated: Oct 13, 2025

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An Improved Self-Training Method for Positive Unlabeled Time Series Classification Using DTW Barycenter Averaging.

Jing Li1, Haowen Zhang1, Yabo Dong1

  • 1College of Computer Science and Technology, Zhejiang University, Hangzhou 310027, China.

Sensors (Basel, Switzerland)
|November 13, 2021
PubMed
Summary

This study introduces ST-average, a novel method for positive unlabeled time series classification (PUTSC). It improves upon self-training (ST) by using an average sequence for more reliable data labeling, outperforming existing methods.

Keywords:
DTW barycenter averagingdynamic time warpingpositive unlabeled time series classificationself-training

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Area of Science:

  • Machine Learning
  • Data Mining
  • Time Series Analysis

Background:

  • Traditional supervised time series classification (TSC) requires extensive labeled data, which is often impractical.
  • Labeling large unlabeled datasets is time-consuming and requires domain expertise.
  • Positive unlabeled time series classification (PUTSC) addresses this by labeling unlabeled data using a small labeled set.

Purpose of the Study:

  • To address the limitations of existing self-training (ST) methods in PUTSC, particularly their sensitivity to initial labeled data.
  • To propose a novel ST-based methodology, ST-average, for more robust and reliable PUTSC.
  • To demonstrate the effectiveness of ST-average compared to existing popular methods.

Main Methods:

  • The study proposes ST-average, a novel approach for PUTSC.
  • This method utilizes a representative average sequence, computed via DTW barycenter averaging, for labeling unlabeled data.
  • ST-average is designed to be insensitive to the initial labeled data and compatible with existing ST techniques.

Main Results:

  • Experimental results on public datasets demonstrate that ST-average outperforms existing popular PUTSC methods.
  • The proposed ST-average method shows improved reliability and robustness compared to traditional one-nearest-neighbor (1NN) based ST approaches.
  • The average sequence used in ST-average is more representative than individual labeled sequences.

Conclusions:

  • ST-average offers a more reliable and robust solution for positive unlabeled time series classification.
  • The method overcomes the sensitivity issues associated with initial labeling in conventional ST approaches.
  • ST-average provides a valuable advancement for efficiently classifying large unlabeled time series datasets.