Alan-Jowett / LexonGraph / 27034746883

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Add deterministic PCA crate and specs (#52)

* Add deterministic PCA crate and specs

Implement the new lexongraph-pca workspace crate with streaming accumulation, deterministic PCA finalization, affine composition/rebase helpers, stable serialization, quantization, validation, diagnostics, and spec-backed tests.

Add the matching rust-pca-crate requirements, design, and validation spec package, wire the crate into the workspace, and update the README summary.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Address PCA review feedback

Add runtime shape checks so malformed public transform values fail with typed errors instead of panicking, and strengthen the determinism tests to cover single-pass versus fixed-tree merges.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Address additional PCA review feedback

Guard accumulator scatter allocation against overflow, make serialization-version mismatches report invalid serialized format, and make affine conversion paths fail with typed errors for malformed public transform values.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Address malformed PCA artifact feedback

Validate the explained-variance presence flag during deserialization and make runtime shape checks reject malformed structural dimensions on public PCA transform values.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Address PCA validation invariants

Enforce current schema versions in PCA validation, guard matrix-length products with checked arithmetic, and harden affine composition and runtime shape gates against overflow.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

* Address affine validation feedback

Make serialized-format errors artifact-neutral, enforce schema and structural invariants for affine transforms, and add regression coverage for affine schema validation.

Co-authored-by: Copilot <223556219+Copilot@... (continued)

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