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Reg-PTQ: Regression-specialized Post-training Quantization for Fully Quantized Object Detector
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Proposes Reg-PTQ, a post-training quantization framework that fully quantizes object detectors (including heads) using a filtered global-loss calibration and a learnable logarithmic-affine quantizer.
Problem
Post-training quantization of object detectors usually leaves the detection head unquantized, and classical PTQ methods degrade severely when the regression head is quantized at low bit-width.
Approach
Argues regressors are more sensitive to quantization noise and have non-uniform, Laplace/Gaussian-like weight distributions due to distance-based losses; combines local reconstruction loss with a global detection loss filtered by confidence and IoU thresholds (FGIC), and uses a learnable log-affine transform before uniform quantization (LLAQ).
Key results
- On COCO under W4A8, RetinaNet ResNet-101 reaches 38.6 mAP vs 38.9 full precision (only 0.3% drop); Faster RCNN drops only 0.7%.
- Under W2A4 on RetinaNet ResNet-50, Reg-PTQ achieves 23.9 mAP, up to 4.0 points above prior state-of-the-art PTQ methods.
- Full quantization of Faster RCNN ResNet-50 at W2A4 gives 14.2x FLOPs and 7.8x storage reduction vs full precision, with an extra 2.1x and 3.6x over quantizing only backbone and neck.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use Reg-PTQ instead of the strongest listed baseline | RetinaNet ResNet-50 · COCO W4A4 | mAP: 34.2 -> 36.7 | Helped |
| use Reg-PTQ instead of the strongest listed baseline | YOLOF ResNet-50 · COCO W4A4 | mAP: 33.4 -> 34.3 | Helped |
| use Reg-PTQ instead of the strongest listed baseline | Faster R-CNN ResNet-50 · COCO W4A4 | mAP: 33.3 -> 36.7 | Helped |
| use Reg-PTQ instead of the strongest listed baseline | Faster R-CNN ResNet-101 · COCO W4A4 | mAP: 35.4 -> 36.2 | Helped |
| use Reg-PTQ instead of the strongest listed baseline | Mask R-CNN ResNet-50 · COCO W4A4 | mAP: 34.9 -> 36.4 | Helped |
| use Reg-PTQ instead of the strongest listed baseline | Mask R-CNN ResNet-101 · COCO W4A4 | mAP: 36.8 -> 37.2 | Helped |
| add global loss to local loss without filtering (ablation) | FGIC on RetinaNet ResNet-50 · COCO W2A4 | mAP: 23.0 -> 23.5 | Helped |
| add two-step filtering of low-confidence and low-IoU boxes (ablation) | FGIC on RetinaNet ResNet-50 · COCO W2A4 | mAP: 23.5 -> 23.9 | Helped |
| replace uniform quantization with LLAQ (ablation) | RetinaNet ResNet-50 head · COCO W2A4 | mAP: 23.0 -> 23.6 | Helped |
| replace uniform quantization with LLAQ (ablation) | RetinaNet ResNet-50 head · COCO W3A3 | mAP: 27.2 -> 28.0 | Helped |
| replace uniform quantization with LLAQ (ablation) | RetinaNet ResNet-50 head · COCO W4A4 | mAP: 35.2 -> 35.7 | Helped |
| replace uniform quantization with LLAQ (ablation) | Faster R-CNN ResNet-50 heads · COCO W2A4 | mAP: 22.3 -> 23.7 | Helped |
Surprising findings
- Local quantization error (MSE) minimization does not select the best scaling factor for regressors, unlike classifiers.
- Diagonal Fisher approximation of the Hessian fails to track quantized regressor performance, while the precise Hessian does.
Limitations
- Relies on a hand-set confidence threshold and IoU threshold for filtering; sensitivity was only checked on RetinaNet R50 under W2A4.
- Efficiency is measured as FLOPs and storage via thop, not on real integer hardware latency; RetinaNet FLOPs reduction is not noticeable.
- Accuracy drops remain noticeable at W4A4 (about 3% on some detectors) and at very low bit-widths.
Experimental setup
Datasets: COCO PASCAL VOC Iris flower dataset
Benchmarks: COCO PASCAL VOC
Metrics: mAP FLOPs storage
Baselines: AdaRound AdaQuant BRECQ QDrop PD-Quant SubSetQ
Builds on: BRECQ QDrop AdaRound Hessian-guided metric calibration
Closest papers by meaning
- AIQViT: Architecture-Informed Post-Training Quantization for Vision Transformers (AAAI 2025 · similarity 0.89)
- Zero-Shot Quantization via Weight-Space Arithmetic (NeurIPS 2026 · similarity 0.87)
- FIMA-Q: Post-Training Quantization for Vision Transformers by Fisher Information Matrix Approximation (CVPR 2025 · similarity 0.87)
- LiDAR-PTQ: Post-Training Quantization for Point Cloud 3D Object Detection (ICLR 2024 · similarity 0.87)
- ERQ: Error Reduction for Post-Training Quantization of Vision Transformers (ICML 2024 · similarity 0.86)
- PTQ4SAM: Post-Training Quantization for Segment Anything (CVPR 2024 · similarity 0.86)
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