aom_pls_superblock — n4m.compose.aom_superblock.aom_pls_superblock¶
Namespace: n4m.compose.aom_superblock · Fully-qualified: n4m.compose.aom_superblock.aom_pls_superblock · Catalog id: aom_pop.aom_pls_superblock
API surface¶
C ABI: no standalone exported symbol is declared for this method.
Python (verified public re-export): from n4m.compose.aom_superblock import aom_pls_superblock
R: no current source-verified entry point was found for this catalog method.
MATLAB / Octave: no current source-verified entry point was found for this catalog method.
Parameters¶
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Explanations¶
Bibliographic source¶
No publication specifies this ABI-2 superblock wrapper; it composes the AOM-PLS family. Beurier, G. et al. (2026). AOM-PLS / POP-PLS paper companion, arXiv:2605.13587, https://arxiv.org/abs/2605.13587. The product variants below are implementation-specific extensions; the paper does not by itself specify their ABI-2 orchestration.
Mathematical principle¶
For \(B\) declared operators, form outputs \(Z_b\in\mathbb{R}^{n\times p}\) and concatenate \(Z=[Z_1|\cdots|Z_B]\in\mathbb{R}^{n\times Bp}\). Columns are centered and each block can be RMS-scaled before PLS is fitted on \(Z\); the component-count grid is evaluated fold-locally and the selected head is refit on the full training rows.
Appropriate uses¶
Multi-block spectroscopy where distinct preprocessing branches are intentionally retained as model inputs.
Limits and validation¶
Block construction changes the feature geometry and can overweight blocks with more columns. Centering, RMS scaling, and component selection must be fold-local; raw-space fold-back is only valid for the declared strict-linear branches.
Implementation¶
n4m.compose.aom_superblock.aom_pls_superblock and AOMPLSSuperblock; no standalone C ABI symbol.
Sources and provenance¶
https://github.com/GBeurier/nirs4all-methods/blob/main/bindings/python/src/n4m/_impl/native.py; https://github.com/GBeurier/nirs4all-methods/blob/main/bindings/python/src/n4m/compose/aom_superblock.py
Catalog note¶
Native AOM-PLS superblock over strict-linear single-operator AOM views (core fit_aom_superblock). It concatenates the operator outputs with train-fold centering and optional block RMS scaling, selects the PLS component count by train-fold CV, fits the native moment/materialized PLS final fit, and folds the final superblock coefficients back to original-input input_coefficients plus intercept (affine N4MM state). It excludes row-reference-dependent preprocessing, nonlinear lifts and dataset/source routing.
Timing benchmark: benchmarks/cross_binding/bench_aom_pls_superblock_timing.py
See also: methods index.