Time Series Decomposition
Overview
Time series decomposition studies how to separate observed sequences into meaningful parts—often trend, seasonal or periodic patterns, and residual variation—to make forecasting and analysis more interpretable. Methods range from moving averages, Fourier and wavelet transforms, and low-rank factorization to learned, input-adaptive decompositions that handle changing frequencies and multiple time scales. Forecasting models often give each component a specialized role, while also combining information across variables, temporal patches, or spatial entities; decomposition is also used to extract interpretable features in applied settings. A central challenge is choosing components and scales that fit changing, noisy data: fixed decompositions can miss evolving patterns, while flexible learned ones may add complexity or fail on highly stochastic signals.
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