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Develop and evaluate a dependency-free Rust framework for out-of-core streaming canonical SVD and joint diagonalization using Clifford-inspired Lie-flow methods.

August 16, 2026Open Access

Phase Algebra III: Out-of-Core Streaming and Canonical Factorization of Ultra-Large Data via Clifford Subspace Invariants | wAI ~ wErrors | WIP

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AKArtiom KovnatskyWeatherford College

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Implication

Software evaluation demonstrates exact out-of-core matrix factorization in massive scientific datasets, suggesting improved scalability for hybrid analog-digital computation.

Key Points

Develop and evaluate a dependency-free Rust framework for out-of-core streaming canonical SVD and joint diagonalization using Clifford-inspired Lie-flow methods.
Implemented single-pass out-of-core Gram matrix accumulation with race-free parallel analog rotor schedules and Johnson–Lindenstrauss subspace sketching.
Integrated division-free Riemannian Lie-residue refinement on SO(n) and graded multivector representations to stabilize ill-conditioned matrix operations.
Constructed a comparative benchmarking suite evaluating performance against LAPACK, FastICA, Cardoso's JADE, and randomized SVD across nine diverse domain datasets.
Achieved full verification across 168 offline test suites, establishing an automated workflow preserving permutation-equivariance and rotation-invariance under Gram metrics.
Demonstrated recovery of machine precision from simulated analog and photonic meshes exhibiting noise levels between 40 and 50 dB SNR.

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Artiom Kovnatsky (2026) studied this question.

synapsesocial.com/papers/6a817a91f2fb91fc834ae728 https://doi.org/10.5281/zenodo.21947186

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Implication

Software evaluation demonstrates exact out-of-core matrix factorization in massive scientific datasets, suggesting improved scalability for hybrid analog-digital computation.

Phase Algebra III: Out-of-Core Streaming and Canonical Factorization of Ultra-Large Data via Clifford Subspace Invariants | wAI ~ wErrors | WIP

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Member takes

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Key Points

Cite This Study

Phase Algebra III: Out-of-Core Streaming and Canonical Factorization of Ultra-Large Data via Clifford Subspace Invariants | wAI ~ wErrors | WIP

Discussion

Member takes

Implication

Key Points

Cite This Study

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