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abstract indexed · arXiv 2610.02882 · updated 2026-10-18

DyRA: Dynamic Residual Approximation for Efficient Matrix Multiplication in DNNs

First page of DyRA: Dynamic Residual Approximation for Efficient Matrix Multiplication in DNNs
From the original paper · arXiv 2610.02882Page 1. Select the image to read the PDF.

DyRA replaces dense weight matrices with structured low-rank approximations augmented by an input-dependent, dynamically computed low-rank correction of the output residual error. The cost is the extra runtime computation of the residual factors per input, added implementation complexity in the matmul path, and a per-model fitting or calibration step before deployment. It can fail when the correction overhead erodes the speedup on layers or batch sizes where it dominates, when the dynamic factors are estimated under distribution shift relative to the calibration data, or when target models lack accessible weight matrices amenable to structured factorization.

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recommendation
test
research area
efficient architectures
technical change
Input-adaptive residual correction for low-rank matrix multiplication
published
2026-10-02

The method offers a validated accuracy-efficiency improvement applicable to pretrained models on a single GPU, but the speedup and correction quality are workload-dependent and require per-model calibration, so small-scale validation on the reader's actual models is warranted before production adoption.

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  1. claim 01Paperraft inference
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    DyRA replaces dense weight matrices with structured low-rank approximations augmented by an input-dependent, dynamically computed low-rank correction of the output residual error. The cost is the extra runtime computation of the residual factors per input, added implementation complexity in the matmul path, and a per-model fitting or calibration step before deployment. It can fail when the correction overhead erodes the speedup on layers or batch sizes where it dominates, when the dynamic factors are estimated under distribution shift relative to the calibration data, or when target models lack accessible weight matrices amenable to structured factorization.

    This is a Paperraft inference. It is not pinned to a verified PDF passage.

    Inspect the source
  2. claim 02Paperraft inference

    DyRA achieves a 1.5x end-to-end GPU speedup for DINOv3 while reducing accuracy degradation by more than 3x relative to weight-only structured approximation baselines.

    This is a Paperraft inference. It is not pinned to a verified PDF passage.

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quality

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arXiv 2610.02882

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