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HDElliptical 0.1.2

• Expanded Authors@R to identify all package contributors and copyright holders, including Dan Zhuang’s scoped SEMC and GEMcluster contribution.
• Clarified package, SEMC, reference-implementation, and test-fixture provenance in inst/COPYRIGHTS and the affected source headers.
• Corrected two package-original Chapter 4 C++ files whose generic GPL SPDX headers conflicted with their intended MIT licensing.

HDElliptical 0.1.1

• Replaced README links to build-excluded audit and benchmark files with public GitHub URLs so they remain resolvable from the CRAN source package.
• Added an author-year citation and public source URL to the package description for CRAN submission metadata.

HDElliptical 0.1.0

Chapter 1 foundations

• Added Rcpp implementations of spatial signs, the modified-Weiszfeld spatial median, empirical spatial ranks, the multivariate spatial Kendall matrix, Tyler’s fixed-point estimator, and the Hettmansperger-Randles iteration.
• Added R interfaces for SSCM and spatial-rank covariance matrices, ACG likelihood evaluation, shape normalization, and elliptical simulation.
• Added tests of defining equations and translation, scale, orthogonal, and affine equivariance properties.
• Hardened directional and shape calculations against overflow and underflow, including finite inputs near the limits of double precision.
• Changed iterative convergence certificates to use the defining estimating equation residuals, preventing false convergence near an observation.
• Defined the one-dimensional HR interface as the ordinary sample median with unit shape and an explicit not-applicable joint-shape diagnostic.

Chapter 2 location tests

• Added exact one- and two-sample Hotelling tests and fixed-dimensional spatial sign, signed-rank, and pooled spatial-rank tests.
• Added Rcpp implementations of the Srivastava–Du, Park–Ayyala, Bai–Saranadasa, Chen–Qin, and Srivastava–Katayama–Kano high-dimensional mean tests.
• Added the Cai–Liu–Xia precision-adjusted maximum test with deliberately separate oracle, supplied-feasible, and adaptive-threshold precision paths. The feasible path uses transformed within-group empirical variances rather than the diagonal of an estimated precision matrix.
• Added the Wang–Peng–Li one-sample high-dimensional spatial-sign test with its literal leave-two-out cross-validation variance estimator. Exact zero signs follow U(0) = 0; invalid variance estimates are not repaired.
• Added the Feng–Sun scalar-invariant one-sample spatial-sign test with literal pair-specific leave-two-out location/diagonal fits and the primary paper’s feasible trace calibration omitted from the short book presentation.
• Added the Huang–Liu–Zhou–Feng two-sample inverse-norm sign test (tINST) with the paper’s feasible cross statistic, observation-specific leave-one- out nuisance fits, published variance decomposition, and explicit iteration stability versus score-residual diagnostics.
• Added the Feng–Zou–Wang–Zhu scale-invariant high-dimensional Behrens–Fisher test with the primary paper’s asymptotic centering and exact leave-four-out / two-plus-two leaveout trace estimators.
• Added the common-covariance Composite T2 test with paper-greedy correlation blocks, a full two-plus-two leaveout statistic, and the original first-group leave-four-out trace calibration.
• Added the Feng–Liu–Ma one-sample INST procedure with null-centered endpoints, delete-two nuisance fits, and the supplement’s direct 2 * n^(-4) feasible variance.
• Added the Feng–Zou–Wang two-sample multivariate-sign test with crossed leave-one-out locations, full/leave-one-out diagonal HR fits, and the primary paper’s Proposition 2 feasible trace and variance calibration.
• Added the Li–Wang–Zou simpler two-sample spatial-sign test with two full-sample diagonal HR fits, the exact feasible bias correction, and the published distinction between ordered-pair trace denominators and the outer squared-sample-size variance factors.
• Added the Feng–Zhang–Liu high-dimensional two-sample spatial-rank test with its feasible leave-four/leave-two trace calibration. The API exposes both a coherent geometric scale identification and the article’s literal trace-normalized finite-sample definition.
• Added the Xu–Lin–Wei–Pan analytical aSPU test. Its default finite-power scores reproduce the primary paper’s raw sample-mean differences, while an explicit book_studentized path implements the book’s scale-invariant standardized-coordinate variant; both use deterministic odd/even Gaussian and maximum extreme-value calibration without paper-specific simulations.
• Added the scaled spatial median, the spatial-sign MAX test, and its MAXSUM Cauchy combination with the existing Feng–Sun SUM component. The API exposes fixed-point stability and estimating-equation residuals separately.
• Added the Yan–Zhao–Feng weighted scaled spatial median and general-m weighted MAX/MAXSUM tests. The m = -1 SUM path is locked component by component to the existing INST implementation, and the published half-power, endpoint-index, and radial-moment typos are corrected explicitly.
• Added Zhang–Feng one- and two-sample adaptive rank tests with max, squared- rank sum, and equal-weight Cauchy components. Sum calibration requires a supplied positive long-run variance or an explicitly selected Ouyang–Parzen lag; there is no hidden bandwidth or variance floor.
• Added generic_weighted_hr_location() and the deliberately oracle oracle_weighted_sign_sum_test() for the formula-complete generic weighted layer. Calibration is reported only from an explicit null_sd, or supplied nu2 and trace_R2; no feasible p-value is guessed.
• Added zhang_zhou_guo_one_sample_test(), zhang_zhou_guo_paired_test(), and zhang_zhou_guo_linear_hypothesis_test() for normal-reference one-sample means, rowwise paired differences, and same-unit linear hypotheses. All three wrappers reuse the compiled centred-U-statistic and unbiased-trace kernel, and deterministic tests lock the appendix v + 4 denominator, wrapper transformations, primal/dual agreement, invariances, and no-repair errors.
• Added zhang_zhu_zhang_two_sample_test(), the Zhang–Zhu–Zhang scale-invariant two-sample normal-reference test, with crossed covariance weights, bias-corrected trace calibration, and distinct published-threshold and unadjusted degrees-of-freedom paths. Deterministic formula, primal/dual, invariance, extreme-tail, and boundary checks cover the compiled implementation.
• Added wang_xu_approx_randomization_test() with the Wang–Xu full-sample CQ statistic and adjacent within-group half-difference reference sample. The compiled kernel supports exhaustive small-sample sign enumeration and a reproducible counter-based Monte Carlo mode; deterministic tests lock odd- row discard, tie handling, exact tails without +1, Monte Carlo tails with +1, seed isolation, and no-repair boundaries.
• Added feng_wang_pdq_two_sample_test(), the Feng–Wang PDQ two-sample spatial-sign test, with empirical pairwise-difference U-quantiles, standardized spatial medians, feasible bias/variance matrices, and Rademacher wild-bootstrap calibration. Literal small-sample and fixed-counter tests verify the compiled statistic, bootstrap, dual finite-B decision conventions, invariances, zero directions, extreme units, and degeneracy contracts.
• Added zhao_feng_strongcorr_sign_test(), the Zhao–Feng strong-correlation one-sample spatial-sign test, with Rademacher or Gaussian wild-bootstrap multipliers. The compiled pair-sum kernel and deterministic tests preserve the distinct null and fitted centerings, multiplier-dependent diagonal, common-tau cancellation, finite-B decisions, RNG contract, invariances, and zero/no-repair cases.
• Added elliptical_regularized_hotelling_test() and elliptical_regularized_hotelling_cauchy_test() for fixed-ridge and Cauchy-grid Feng–Zhou–Wang elliptical regularized Hotelling testing. One economy-SVD compiled kernel evaluates the feasible companion-matrix centre and variance for every ridge; deterministic tests cover literal margins, the p > n complement route, small positive ridges, stable signed-log Cauchy aggregation, invariances, extreme scales, and explicit failures. The paper’s unspecified simulation-program Bartlett modification is not guessed.
• Marked ch2_location.tex:2438-2451 structured-correlation combinations as the sole blocked Chapter 2 item. A legally accessible primary full text has not been obtained and the book contains no executable formulas, so no API is fabricated pending source access.
• Retained randomization and wild bootstrap only where they are intrinsic test calibrations. These callable calibrations are not paper simulation replications; no paper-specific Monte Carlo grids, size/power scenarios, tables, reproduction scripts, or data were added.
• Stabilized CLX group centering and adaptive covariance moments under large common translations and representable extreme global scales.
• Kept the original common-covariance Bai–Saranadasa statistic separate from the unequal-covariance Chen–Qin U-statistic, correcting their conflation in the current book draft.
• Added stable primal/dual Gram calculations, leave-out kernels, scaled diagnostic components, and independent formula/invariance/degeneracy tests.

Chapter 3 matrix estimation and testing

• Added six classical covariance, sphericity, and spatial sign/rank shape tests, with the primary Mauchly, John, and Nagao finite-sample factors.
• Added Bickel–Levina, Rothman–Levina–Zhu, and Cai–Liu covariance thresholding plus supplied-factor POET, together with five high-dimensional Gaussian/light-tail covariance tests.
• Added four elliptical sign/rank/adaptive sphericity tests and two SSCM/spatial-rank proportionality tests with their feasible bias and variance calibration.
• Added certificate-checked spatial-sign SCLIME and SGLASSO precision estimation and exact support thresholding. Failed feasibility, KKT, or positive-definiteness checks are returned as failures rather than repaired.
• Added ec2_covariance() for the formula-complete convex-l1 EC2 branch, gaussian_graphical_lasso() with an off-diagonal l1 penalty, and clime_precision() with primary smaller-absolute-value symmetrization. Each reports strict feasibility/KKT or primal-dual certificates without hidden ridge, floor, pseudoinverse, or SPD repair. Adaptive/MC+ EC2, SCIO, and scaled-lasso remain review-only because their distinct contracts are not closed by the short review passages.
• Added tensor spatial-sign precision estimation and graph thresholding with column-major Kolda unfolding, the published pilot switch, and modewise objective/KKT diagnostics.
• Added the Ollila–Raninen shrinkage covariance estimator, regularized SSCM, BASIC, BASICS, and linear covariance pooling with self-contained quadrature, bounded inversion, and pooling optimisation.
• Added the primary joint high-dimensional HR fixed point, which bands the standardised-sign SSCM within every iteration and reports map, score, convergence, conditioning, and pilot diagnostics.
• Added elliptical factor-number selection, spatial-sign POET, one-step Tyler POET, and sparse factor precision reconstruction with explicit factor count and tuning constants.
• At the earlier Chapter 1–3 gate, generation produced 107 Rd files. That source package passed all examples, 35 test files, both vignettes, and R CMD check --no-manual with zero errors and warnings; the only NOTE is the existing Windows linked-symbol scan.
• Added no paper-specific simulation grids, size/power scenarios, result tables, reproduction scripts, or simulation data. Tests are deterministic formula, invariance, solver-certificate, and numerical-boundary checks.

Chapter 4 other high-dimensional tests

• Added 33 callable APIs spanning unconditional and conditional alpha tests, mutual-fund FDR, change-point testing and ERHT-WBS segmentation, white-noise tests, a radial-directional diagnostic, and Gaussian/panel/vector independence testing.
• Completed the formula-closed Chapter 4 layer with weighted_spatial_sign_alpha_oracle_test(), zhao_chen_zi_inst_alpha_test(), book_gaussian_alpha_cauchy_test(), conditional_factor_wald_test(), and wang_liu_feng_vector_u_independence_test(). The separate mutual-independence max–sum studentization remains source-blocked rather than being replaced by the adjacent exact rank-U vector method.
• Corrected the book-level DMS, spatial-sign change-point, alpha-test, conditional-residual, white-noise variance, panel-Gumbel, and serial-panel formula conflations against the primary sources; every software choice is exposed in returned diagnostics.
• Added strict nuisance-fit, covariance, determinant, variance, solver, and seed contracts. Invalid inputs or uncertified fits fail explicitly rather than receiving an implicit ridge, floor, pseudoinverse, or nearest-PD repair.
• Retained bootstrap, randomization, permutation, and Gaussian-process draws only where they define a method’s own calibration. No paper simulation design, size/power grid, empirical table, reproduction script, or data set was added.
• At the earlier Chapter 1–4 gate, generation produced 113 exports and 147 Rd files. That source tarball passed 41 test files, 426 named test blocks, all examples, both vignettes, and R CMD check --no-manual with zero errors and warnings; the only NOTE is the existing Windows linked-symbol scan.

Chapter 5 classification

• Added a common hd_classifier_fit contract and 23 callable APIs covering oracle/classical LDA and QDA, independence and FAIR rules, thresholded and direct sparse LDA, sparse Gaussian/spatial-sign QDA, certified plug-in rules, and robust GQDA/HR-GQDA.
• Added strict vector- and matrix-Dantzig, lasso, and interaction-loss solver certificates. Tuning paths, priors, score orientation/scale, determinant signs, SPD status, feasibility, duality, and KKT residuals are retained in every fit; failed fits are not silently repaired or made predictable.
• Corrected the book’s unequal-prior elliptical shortcut, DSDA coding/objective, Jiang versus Cai–Zhang attribution, explicit ridge-operator semantics, SSQDA trace computation, and HR-QDA/GQDA distinction against primary sources.
• Added deterministic formula, prediction, invariance, tuning-isolation, solver-certificate, and degeneracy tests. At the earlier Chapter 1–5 gate, the source tarball passed 45 test files, 495 named test blocks, 4,772 expectations, all 170 Rd files, examples and both vignettes with zero errors and warnings; the only NOTE is the existing Windows linked-symbol scan.
• No paper-specific classification simulation grid, error-rate table, reproduction script, benchmark data, or guessed optimizer was added.

Chapter 6 dimension reduction

• Added 16 callable APIs across four modules: classical PCA/CCA/Bartlett testing and robust factor/subspace/number methods; spatial-sign, Kendall and generalized-sign PCA; TPM/Fantope/PMD sparse PCA and CCA; and the primary metric-lasso sscca() kept distinct from the book’s whitened-PMD variant.
• Made centers, divisors, ranks, eigengaps, ties, supports, l1 boundaries and ridge operators explicit. KKT, PSD and convergence certificates are returned; invalid fits are never promoted or silently repaired.
• Separated generalized-sign median/raw-MAD and h-order cutoff families and recorded the radial population scope. Preserved the primary SSCCA metric diagonals and BIC program rather than silently whitening them.
• Added 77 named deterministic test blocks with 539 static source expect_* call occurrences. They verify formulas, invariances, solvers and boundaries; no paper Monte Carlo design, tuning result, table, script or data was added.

Chapter 7 clustering

• Added Lloyd K-means, full-covariance Gaussian-mixture EM, sparse K-means and its selector, sparse K-medians, CHIME, IF-PCA, K-spatial medians, SM-SSCM, Sparse-SM and its tau/K selectors, plus SEMC fitting/prediction and Gap-LSE selection: 14 exported APIs and 19 registered compiled kernels.
• Canonicalized CHIME labels after initialization and every update so omega <= 1/2, with coherent mean, responsibility, beta, score, class and history orientation. The full supplied lambda path and exact lasso KKT certificates are preserved without a hidden ridge.
• Verified ordered-pair BCSS as 2 * (TSS - WCSS), the s=1 soft-threshold boundary, full-covariance GMM rank/SPD checks, and explicit tie, start, farthest-empty, cycle and returned-final-state contracts.
• Hardened robust spatial geometry with raw-first close-large differences, overflow-safe scaled accumulation, a Cholesky metric root, and finite subnormal/opposite-DBL_MAX paths.
• Kept selector permutations and IF-PCA null generation local, fixed-seed and caller-RNG preserving. These are intrinsic calibrations, not paper simulations.
• Added semc_fit(), predict.semc_fit(), and semc_select_k_gap() as an independent rewrite against the primary source and pinned flnankai/GEMcluster@10fce04fe690fe274dd5d237cfcd3d5c6a4139f6 MIT release. Primary-paper and software-only controls remain explicit and separate; fixed formula/software fixtures contain no copied author-code expression or paper simulation.
• The fresh unified gate has 176 exports, 3 S3 registrations, 140 Rcpp attributes matched by 140 native registrations, 223 Rd files, and 169 public topics. Its 56 test files contain 688 test_that blocks and 5,781 static expect_* calls; the installed run reported 6,267 passes and zero failures, errors, warnings, or skips. Two generation passes produced an identical 226-file hash manifest and all 226 files matched the release tree.
• The final 87-row ledger records 83 implemented, 2 review-only, and 2 source-blocked method rows. The blocked rows are the Chapter 2 structured- correlation review and Chapter 4 mutual-independence studentization; SEMC is implemented.
• The final 0.1.0 source tarball built from this release state passed standard R CMD check --no-manual with 0 ERROR, 0 WARNING, and 1 NOTE, and remote-enabled R CMD check --as-cran --no-manual with 0 ERROR, 0 WARNING, and 2 NOTEs. Both ran examples, tests, and vignettes, and the as-CRAN check also ran donttest. Both checks share the conservative DLL linked-symbol scan for _exit, abort, and exit; exact R/src direct-call scanning found zero. The additional as-CRAN NOTE identifies a new CRAN submission.
• The public flnankai/HDElliptical repository and issue tracker were bootstrapped before the final tag. The post-bootstrap as-CRAN check kept incoming remote checks enabled, and the Windows, macOS, and Linux Actions jobs passed before the annotated v0.1.0 tag, release, and regenerated release assets were published.
• Added a deterministic installed-package benchmark harness and checked-in CSV/ Markdown report with one representative workflow per chapter. These are machine-local software timings and fingerprints, not paper simulations, size/power experiments, or empirical reproductions.

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