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  "Date": "2026-09-29",
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  "Title": "Partial Least Squares Regression Models with Big Matrices",
  "Authors@R": "c(\nperson(given = \"Frederic\", family= \"Bertrand\", role = c(\"cre\", \"aut\"),\nemail = \"frederic.bertrand@lecnam.net\", comment = c(ORCID = \"0000-0002-0837-8281\")),\nperson(given = \"Myriam\", family= \"Maumy\", role = c(\"aut\"),\nemail = \"myriam.maumy@ehesp.fr\", comment = c(ORCID = \"0000-0002-4615-1512\")))",
  "Author": "Frederic Bertrand [cre, aut] (ORCID:\n<https://orcid.org/0000-0002-0837-8281>), Myriam Maumy [aut]\n(ORCID: <https://orcid.org/0000-0002-4615-1512>)",
  "Maintainer": "Frederic Bertrand <frederic.bertrand@lecnam.net>",
  "Description": "Fast partial least squares (PLS) for dense and out-of-core\ndata. Provides SIMPLS (straightforward implementation of a\nstatistically inspired modification of the PLS method) and\nNIPALS (non-linear iterative partial least-squares) solvers,\nplus kernel-style PLS variants ('kernelpls' and\n'widekernelpls') with parity to 'pls'. Optimized for\n'bigmemory'-backed matrices with streamed cross-products and\nchunked BLAS (Basic Linear Algebra Subprograms) (XtX/XtY and\nXXt/YX), optional file-backed score sinks, and deterministic\ntesting helpers. Includes an auto-selection strategy that\nchooses between XtX SIMPLS, XXt (wide) SIMPLS, and NIPALS based\non (n, p) and a configurable memory budget. About the package,\nBertrand and Maumy (2023) <https://hal.science/hal-05352069>,\nand <https://hal.science/hal-05352061> highlighted fitting and\ncross-validating PLS regression models to big data. For more\ndetails about some of the techniques featured in the package,\nDayal and MacGregor (1997)\n<doi:10.1002/(SICI)1099-128X(199701)11:1%3C73::AID-CEM435%3E3.0.CO;2-%23>,\nRosipal & Trejo (2001)\n<https://www.jmlr.org/papers/v2/rosipal01a.html>, Tenenhaus,\nViennet, and Saporta (2007) <doi:10.1016/j.csda.2007.01.004>,\nRosipal (2004) <doi:10.1007/978-3-540-45167-9_17>, Song, Wang,\nand Bai (2024) <doi:10.1016/j.chemolab.2024.105238>. Includes\nkernel logistic PLS with 'C++'-accelerated alternating\niteratively reweighted least squares (IRLS) updates, streamed\nreproducing kernel Hilbert space (RKHS) solvers with reusable\ncentering statistics, and bootstrap diagnostics with graphical\nsummaries for coefficients, scores, and cross-validation\nworkflows, alongside dedicated plotting utilities for\nindividuals, variables, ellipses, and biplots. The streaming\nbackend uses far less memory and keeps memory bounded across\ndata sizes. For PLS1, streaming is often fast enough while\npreserving a small memory footprint; for PLS2 it remains\ncompetitive with a bounded footprint. On small problems that\nfit comfortably in RAM (random-access memory), dense in-memory\nsolvers are slightly faster; the crossover occurs as n or p\ngrow and the Gram/cross-product cost dominates.",
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