All 31 Method Animations

Choose a method to see its calculation unfold in four steps. Each page includes a Play animation control, a static diagram, parameter explanations, references, and downloadable numerical arrays with source provenance. Playback starts only when requested; the written steps remain available without JavaScript.

The gallery covers 31 registered entries: 8 smoothing, seasonal and subspace entries, 7 adaptive or time-frequency entries, and 16 experimental decomposition blocks. Autoformer and DLinear are aliases of the moving-average block. The count includes these aliases and does not imply 31 independent algorithms.

Read the scope labels

Label	Meaning in DeTime
maintained	A maintained core implementation with Python and native execution paths.
stable	A retained method or wrapper on the supported interface.
optional-backend	Requires an additional upstream package, such as PySDKit.
experimental	A research operator or illustration with the limits stated on its page.

These labels describe the package support level. The synthetic teaching examples show computations; they do not measure forecasting accuracy or establish clinical or financial performance. Experimental architecture names refer to the implemented decomposition blocks. N-BEATS uses explicitly chosen, untrained coefficients in its animation. The Gabor example uses a fixed teaching codebook.

Smoothing, seasonal structure and subspaces

Method	Computation illustrated	Scope
MA_BASELINE	Slide a uniform window → Subtract the smooth trend → Average seasonal phases → Center and form residual	stable
MSSA	Stack aligned windows → Compute shared singular modes → Reconstruct each channel → Group trend and season	maintained
MSTL	Specify the seasonal periods → Estimate seasonal terms → Add back and refine each term → Aggregate the common output	stable
ROBUST_STL	Fit initial smooths → Compute robustness weights → Refit and update the weights → Retain a residual	stable
SSA	Embed overlapping windows → Factor the trajectory matrix → Average each anti-diagonal → Group trend and season	maintained
STD	Partition and center cycles → Separate dispersion and shape → Restore each cycle's shape → Compute the common result	maintained
STDR	Partition and center cycles → Separate dispersion and shape → Average shapes across cycles → Compute the common result	maintained
STL	Form seasonal-phase subseries → Use local polynomial smoothing → Alternate seasonal and trend → Form the additive result	stable

Adaptive modes, wavelets and time-frequency structure

Method	Computation illustrated	Scope
CEEMDAN	Generate perturbations → Average first IMFs → Update adaptively → Retain the residue	stable
EMD	Locate extrema → Build envelopes → Sift → Remove the IMF	stable
GABOR_CLUSTER	Window and transform → Build atom features → Assign the codebook → Mask and reconstruct	experimental
MEMD	Project the data → Construct vector envelopes → Sift jointly → Extract aligned modes	optional-backend
MVMD	Align the channels → Update channel spectra → Pool spectral energy → Recover mode stacks	optional-backend
VMD	Prepare the spectrum → Update a mode → Update its center → Reconstruct and group	stable
WAVELET	Choose the filter bank → Build the pyramid → Select coefficient blocks → Assign outputs	stable

Experimental decomposition blocks

Method	Computation illustrated	Scope
AMD_BLOCK	Compute several smooth trends → Average equal seasonal phases → Repeat the phase template → Inspect the derived residual	experimental
AUTOFORMER_BLOCK	Specify the filter → Move along the series → Subtract the trend → Inspect the output contract	experimental; alias of MOVING_AVERAGE_DECOMPOSITION_BLOCK
DELELSTM_BLOCK	Update level and slope → Average equal seasonal phases → Repeat the phase template → Inspect the derived residual	experimental
DLINEAR_BLOCK	Specify the filter → Move along the series → Subtract the trend → Inspect the output contract	experimental; alias of MOVING_AVERAGE_DECOMPOSITION_BLOCK
FREQMOE_BLOCK	Separate trend and selection input → Select discrete spectral peaks → Fit and average candidate seasons → Inspect actual output streams	experimental
INPARFORMER_BLOCK	Smooth the prefix → Average equal seasonal phases → Repeat the phase template → Inspect the derived residual	experimental
LEDDAM_BLOCK	Specify the filter → Move along the series → Subtract the trend → Inspect the output contract	experimental
MOVING_AVERAGE_DECOMPOSITION_BLOCK	Specify the filter → Move along the series → Subtract the trend → Inspect the output contract	experimental
NBEATS_INTERPRETABLE	Construct fixed basis functions → Separate backcast and output weights → Pass a remainder to seasonal blocks → Distinguish the two residuals	experimental
PARSIMONY_BLOCK	Remove a smoothed trend → Build the harmonic design → Add fitted basis terms → Inspect the decomposition	experimental
ST_MTM_BLOCK	Smooth the prefix → Average equal seasonal phases → Smooth the repeated template → Inspect the derived residual	experimental
TIMEKAN_BLOCK	Smooth and inspect prefix frequencies → Fit two kinds of seasonal estimate → Apply the implemented fixed blend → Inspect the checked output	experimental
TIMES2D_BLOCK	Separate trend and selection input → Select discrete spectral peaks → Fit and average candidate seasons → Inspect actual output streams	experimental
WAVEFORM_BLOCK	Analyze with fixed wavelet filters → Reconstruct the approximation → Reconstruct selected detail bands → Inspect the remaining detail	experimental
WAVELETMIXER_BLOCK	Analyze with fixed wavelet filters → Reconstruct the approximation → Reconstruct selected detail bands → Inspect the remaining detail	experimental
XPATCH_BLOCK	Mix observation and state → Advance the recurrence → Smooth the difference → Inspect all three streams	experimental

Data and reproduction

Reproduction guide · Complete numerical manifest · Parameter reference · Runnable notebook examples

Every animation records its synthetic input, computed intermediate arrays, checks, dependency versions and source hashes. The per-method What this animation computes section identifies whether the trace is a public-method run, an instrumented solver, or a teaching illustration.