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Module adwin

Module adwin 

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ADWIN (ADaptive WINdowing) change-point detector.

Reference: Bifet & Gavaldà, Learning from time-changing data with adaptive windowing, SDM 2007, Theorems 1–3.

Core idea: maintain a window W of recent observations. Whenever any split W = W₀ · W₁ shows |mean(W₀) − mean(W₁)| larger than a Hoeffding-style bound ε_cut depending on the split sizes and a confidence δ, drop W₀ and emit a change-point at the cut.

Simplifications vs. the paper that do not affect correctness for our purposes:

  • We use the linear-scan split test (the paper’s §4 exponential- histogram data structure is an optimisation; our series are short, so the simpler code is faster to audit).
  • We assume values are real and bounded within a single series (the paper’s Hoeffding bound uses the sample range; we track observed_min / observed_max per series).

Determinism: the detector is a pure function of the input series.

Structs§

Adwin