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Sliding Window Anomaly Detection
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Sliding Window Anomaly Detection

HardPython

Problem

Implement an algorithmic solution to identify anomalies within a sliding time-window stream.

Given time-ordered events (timestamp, value), return the zero-based indices whose values are anomalous compared with prior events inside the time window. Use the population standard deviation and classify an event when its absolute z-score is greater than threshold after at least min_history prior events exist. If the standard deviation is zero, any different value is anomalous. Implement detect_anomalies(events, window, threshold, min_history) and return a list of indices.

Constraints

  • 1 <= len(events) <= 5000
  • Events are sorted by nondecreasing timestamp
  • Each event is a two-element pair [timestamp, value]
  • 0 <= timestamp <= 10^12
  • -10^9 <= value <= 10^9
  • 0 < window <= 10^12
  • 0 <= threshold
  • 1 <= min_history <= len(events)

Function Signature

def detect_anomalies(events, window, threshold, min_history):
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