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Research map / Architectures and efficiency / Quantization

Square Root Bundle Adjustment for Large-Scale Reconstruction

CVPR 2021 · Architectures and efficiency › Quantization · approach: Ultra-low-bit LLM quantization · 29 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace Schur complement reduction with QR-based nullspace marginalizationBundle adjustment on BAL · BAL datasetsruntime: 42% fasterHelped
Use single precision instead of double precision (ablation)√BA · BAL datasetsruntime: around twice as fastHelped
Use single precision instead of double precision (ablation)√BA · BAL datasetsaccuracyNo clear effect
Use single-precision explicit Schur complement instead of double precision (ablation)Custom explicit Schur complement solver · BAL datasetsaccuracyHurt
Use single-precision explicit Schur complement instead of double precision (ablation)Custom explicit Schur complement solver · BAL datasetsruntimeMixed
Use single-precision explicit Schur complement (ablation)Custom explicit Schur complement solver · BAL datasetsproblems requiring backtracking due to numerical indefiniteness: 84 out of the 97 problemsHurt
Use double-precision explicit Schur complement (ablation)Custom explicit Schur complement solver · BAL datasetsproblems with numerical indefiniteness: 7 of the problemsHurt
Use square root bundle adjustment instead of explicit Schur complementBundle adjustment on BAL · BAL datasetsproblems with numerical indefinitenessHelped
Use landmark-block QR storage and marginalization√BA · final13682 BALmemory feasibilityHurt
Use implicit Schur complement rather than √BABundle adjustment on BAL · Very large problemsruntime scalabilityMixed
Use √BA rather than competing solversBundle adjustment on BAL · Medium to large problemsruntimeHelped

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