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Enterprise AI Analysis: Intrinsic Structure as a Proxy for Saliency: SVD-Based Weight Preservation for Mixed-Precision Quantization in Large Language Models

Enterprise AI Analysis

Intrinsic Structure as a Proxy for Saliency: SVD-Based Weight Preservation for Mixed-Precision Quantization in Large Language Models

This paper introduces a novel, data-free approach to mixed-precision quantization in Large Language Models (LLMs) by leveraging Singular Value Decomposition (SVD). The core hypothesis is that weights identified as Principal Components by SVD are intrinsically important for model performance. By preserving these critical weights in FP32 and aggressively quantizing the rest, the method achieves competitive or superior accuracy compared to data-aware methods like AWQ and SpQR, especially in low-resource settings. This approach eliminates the need for calibration data, crucial for privacy-sensitive or data-unavailable scenarios.

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0 Peak Accuracy Achieved on RTE Task
0 Overlap with SpQR (Saliency)
0 Calibration Data Needed

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Methodology

The paper proposes SVD-based selection to identify crucial weights by reconstructing the 'Principal Structure' of weight matrices. Weights with high magnitude in this reconstruction are preserved in FP32, while others are quantized to 4-bit. This is a data-free approach.

Experimental Setup

Evaluations are performed on GLUE benchmarks (MRPC, RTE, QNLI) using a DistilBERT backbone. Comparisons are made against AWQ (activation-aware) and SpQR (second-order Hessian-based) methods. Protection budgets (k) vary from 1 to 4096 parameters per layer.

Results & Analysis

SVD-based method outperforms AWQ and SpQR on RTE (66.06% vs 65.34%). It is competitive on MRPC and QNLI. A significant overlap (67%) with SpQR's selected weights suggests SVD captures Hessian-like sensitivity without data. The method is computationally efficient, requiring no forward passes or calibration data.

66.06% Peak Accuracy Achieved on RTE Task (outperforming data-aware methods)

Enterprise Process Flow

Pre-trained Weight Matrix W
Singular Value Decomposition (SVD)
Reconstruct Principal Structure W_pri (Top R Singular Values)
Identify Top-k Weights from |W_pri|
Preserve Top-k in FP32, Quantize Residual (4-bit)
Quantized LLM for Deployment

Methodology Comparison: Data-Aware vs. Structure-Aware

Feature Data-Aware Methods (AWQ/SpQR) SVD-Based (Our Method)
Calibration Data
  • Required (Activation magnitudes or Hessian)
  • Dependency on calibration set distribution
  • Not Required (Data-free)
Computational Cost
  • Forward passes (AWQ)
  • O(d^3) for Hessian inversion (SpQR)
  • O(r*d^2) for randomized SVD approximation
  • Purely static, no data movement
Saliency Detection
  • Activation outliers
  • Loss sensitivity via second-order derivatives
  • Intrinsic matrix structure (Principal Components)
Privacy Concerns
  • Potential for data exposure/bias
  • Zero data exposure, ideal for privacy-sensitive scenarios

Impact on Edge Device Deployment for RTE Task

On the challenging RTE task, our SVD-based method achieved an accuracy of 66.06%, surpassing both AWQ and SpQR (65.34%). This is crucial for resource-constrained edge devices or private deployments where calibration data is unavailable. The SVD method's ability to identify intrinsic structure without data makes it a robust solution for deploying high-performing LLMs in sensitive environments, proving that structural importance can be a reliable proxy for functional importance.

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