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abstract indexed · arXiv 2609.25963 · updated 2026-10-18

GeoPair: Geometry-Preserving Cross-Layer Factorization for Training-Free Transformer Compression

First page of GeoPair: Geometry-Preserving Cross-Layer Factorization for Training-Free Transformer Compression
From the original paper · arXiv 2609.25963Page 1. Select the image to read the PDF.

The method replaces heuristic adjacent-layer weight merging and independent per-layer low-rank decompositions with a sequential optimization that pairs structurally compatible projections and shares a dictionary while preserving each layer's calibration geometry. It is training-free, so the direct cost is calibration compute and integration of structured sparse factorized weights, but realizing speed or memory gains requires kernels and serving stacks that actually exploit structured sparsity and low-rank factors on a single 24 GB GPU. It can fail when no structurally compatible cross-layer pairings exist in a given architecture, when the factorization erodes task accuracy beyond acceptable tolerance, or when nominal parameter compression does not translate into wall-clock or VRAM savings on the available hardware.

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Why it was shortlisted

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recommendation
test
research area
sparsity and pruning
technical change
Cross-layer geometry-preserving weight factorization
published
2026-09-22

Training-free compression fits a constrained-infrastructure budget, but the abstract offers no quantified speedup or memory factor, so the reader should validate accuracy retention and real GPU savings on their own workload before production adoption.

About the technical core

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    The method replaces heuristic adjacent-layer weight merging and independent per-layer low-rank decompositions with a sequential optimization that pairs structurally compatible projections and shares a dictionary while preserving each layer's calibration geometry. It is training-free, so the direct cost is calibration compute and integration of structured sparse factorized weights, but realizing speed or memory gains requires kernels and serving stacks that actually exploit structured sparsity and low-rank factors on a single 24 GB GPU. It can fail when no structurally compatible cross-layer pairings exist in a given architecture, when the factorization erodes task accuracy beyond acceptable tolerance, or when nominal parameter compression does not translate into wall-clock or VRAM savings on the available hardware.

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quality

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compute and memory

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latency

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operations

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software compatibility

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security

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data and training

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reproducibility

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