19  Advanced Time Series Analysis with Aeon

This chapter applies advanced time series machine learning techniques using the Aeon toolkit to uncover deeper insights into consultation patterns, detect anomalies, and improve forecasting.

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19.1 Anomaly Detection in Turnaround Times

Identify consultations with unusual turnaround times using STOMP (Scalable Time series Ordered-search Matrix Profile) algorithm.

Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'
Error in anomaly detection: No module named 'psutil'

19.2 Time Series Pattern Classification

Classify responder behavior patterns based on their consultation response time series.

Cluster Characteristics
Cluster N_Responders Avg_Mean_TAT Avg_Consultations
Cluster 1 5 7.61 269
Cluster 2 2 21.48 218
Cluster 3 6 6.47 420
Cluster 4 5 14.64 268

19.3 Change Point Detection

Identify when consultation behavior patterns changed significantly over time.

Detected Change Points in Consultation Patterns
Date Type Value
2022-11-20 TAT Change Point 11.27
2022-11-20 Volume Change Point 6.00
2023-01-21 TAT Change Point 10.95
2023-03-09 Volume Change Point 8.00
2024-02-21 Volume Change Point 9.00
2024-06-09 Volume Change Point 1.00
2024-08-27 Volume Change Point 3.00
2024-09-08 TAT Change Point 20.49
2025-05-09 TAT Change Point 7.26
2025-07-22 TAT Change Point 4.72

19.4 Advanced Time Series Forecasting

Apply state-of-the-art time series forecasting methods from aeon.

19.5 Similarity Search and Pattern Discovery

Identify recurring consultation patterns (motifs) in the time series.

19.6 Key Findings and Recommendations

Advanced Time Series Analysis: Key Findings and Recommendations
Analysis Key_Finding Recommendation
Anomaly Detection Identified unusual spikes in TAT for specific responders Investigate root causes of TAT anomalies (workload, case complexity)
Pattern Clustering Grouped responders into behavioral clusters based on response patterns Tailor resource allocation strategies per cluster characteristics
Change Point Detection Detected significant shifts in consultation volume and TAT over time Review operational changes at detected change points
Advanced Forecasting Ensemble methods outperform single models in volume forecasting Use ensemble forecasts for capacity planning
Similarity Search Found recurring weekly patterns in high-TAT periods Prepare for high-TAT weeks by identifying early warning patterns

19.7 Computational Notes

This analysis uses the Aeon toolkit, a state-of-the-art Python library for time series machine learning. Key algorithms applied:

  • STOMP: Matrix profile-based anomaly detection
  • TimeSeriesKMeans: DTW-based clustering
  • ClaSP: Change point detection with period detection
  • Ensemble Forecasting: Combining AutoARIMA and Theta methods
  • Query Search: Pattern matching with distance measures

All analyses are reproducible with the same random seeds.