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Position-based Scaled Gradient for Model Quantization and Pruning

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arxiv 2005.11035 v4 pith:LWG2CNUW submitted 2020-05-22 cs.CV cs.LG

Position-based Scaled Gradient for Model Quantization and Pruning

classification cs.CV cs.LG
keywords weightgradientmodelpruningquantizationspacecompresseddepending
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose the position-based scaled gradient (PSG) that scales the gradient depending on the position of a weight vector to make it more compression-friendly. First, we theoretically show that applying PSG to the standard gradient descent (GD), which is called PSGD, is equivalent to the GD in the warped weight space, a space made by warping the original weight space via an appropriately designed invertible function. Second, we empirically show that PSG acting as a regularizer to a weight vector is favorable for model compression domains such as quantization and pruning. PSG reduces the gap between the weight distributions of a full-precision model and its compressed counterpart. This enables the versatile deployment of a model either as an uncompressed mode or as a compressed mode depending on the availability of resources. The experimental results on CIFAR-10/100 and ImageNet datasets show the effectiveness of the proposed PSG in both domains of pruning and quantization even for extremely low bits. The code is released in Github.

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  1. CAGE: Curvature-Aware Gradient Estimation For Accurate Quantization-Aware Training

    cs.LG 2025-10 conditional novelty 6.0

    CAGE, a curvature-aware correction that adds the quantization error to the gradient, reduces loss in low-bit quantization-aware training, letting 3-bit CAGE-trained models match 4-bit baseline-trained models.