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Learned Step Size Quantization

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arxiv 1902.08153 v3 pith:BDBY4RNL submitted 2019-02-21 cs.LG stat.ML

classification cs.LGstat.ML
keywords precisionaccuracylearnednetworkssizestepapproachexisting
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Deep networks run with low precision operations at inference time offer power and space advantages over high precision alternatives, but need to overcome the challenge of maintaining high accuracy as precision decreases. Here, we present a method for training such networks, Learned Step Size Quantization, that achieves the highest accuracy to date on the ImageNet dataset when using models, from a variety of architectures, with weights and activations quantized to 2-, 3- or 4-bits of precision, and that can train 3-bit models that reach full precision baseline accuracy. Our approach builds upon existing methods for learning weights in quantized networks by improving how the quantizer itself is configured. Specifically, we introduce a novel means to estimate and scale the task loss gradient at each weight and activation layer's quantizer step size, such that it can be learned in conjunction with other network parameters. This approach works using different levels of precision as needed for a given system and requires only a simple modification of existing training code.

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Cited by 30 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 296 citations worldwide. Full citation record

  1. Zero-Shot Quantization for Object Detectors using Off-the-Shelf Generative Models

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  3. Quantization Meets OOD: Generalizable Quantization-aware Training from a Flatness Perspective

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

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    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.

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  6. Task-Specific Zero-shot Quantization-Aware Training for Object Detection

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  7. DMQ: Dissecting Outliers of Diffusion Models for Post-Training Quantization

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  8. Post-Training Quantization of Generative and Discriminative LSTM Text Classifiers: A Study of Calibration, Class Balance, and Robustness

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  9. Is Quantization a Deal-breaker? Empirical Insights from Large Code Models

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  10. MPQ-DMv2: Flexible Residual Mixed Precision Quantization for Low-Bit Diffusion Models with Temporal Distillation

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    MPQ-DMv2 adds binary residual quantization, temporal relation distillation, and SVD-initialized LoRA to mixed-precision quantization, improving low-bit diffusion model generation quality.

  11. TruncQuant: Truncation-Ready Quantization for DNNs with Flexible Weight Bit Precision

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    TruncQuant uses a floor-based quantizer with 2^n scaling instead of rounding with 2^n-1, so truncating high-precision weights via bit-shift exactly matches direct low-precision quantization, recovering accuracy lost b...

  12. Unified Scaling Laws for Compressed Representations

    cs.LG 2025-06 conditional novelty 6.0 of 10

    A representation capacity derived from Gaussian fitting error predicts the training efficiency of sparse, quantized, and hybrid compressed models, and this capacity approximately multiplies across combined compression types.

  13. Flexible Mixed Precision Quantization for Learned Image Compression

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  14. Frequency Composition for Compressed and Domain-Adaptive Neural Networks

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    Training quantized models on low-frequency images plus frequency-aware batch normalization at test time improves both compression and domain-shift robustness.

  15. Is Quantum Optimization Ready? An Effort Towards Neural Network Compression using Adiabatic Quantum Computing

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  16. Dual Precision Quantization for Efficient and Accurate Deep Neural Networks Inference

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  17. Scaling Law for Quantization-Aware Training

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    A unified QAT scaling law predicts 4-bit quantization error from model size, training tokens, and group size, showing activation outliers in the FC2 layer are the main W4A4 bottleneck.

  18. Quantize with Confidence? An Empirical Study of Quantization for Code Generation

    cs.SE 2026-07 conditional novelty 5.0 of 10

    4-bit quantization of code LLMs mostly preserves pass@1, but AQLM matches or beats full precision while QuIP# degrades most on complex prompts; sensitivity is model-dependent.

  19. QuantV2X: A Fully Quantized Multi-Agent System for Cooperative Perception

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  20. DFQ-ViT: Data-Free Quantization for Vision Transformers without Fine-tuning

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    DFQ-ViT combines easy-to-hard synthetic sample generation with activation correction to quantize vision transformers without data or fine-tuning, outperforming PSAQ-ViT and roughly matching real-data calibration.

  21. PQCAD-DM: Progressive Quantization and Calibration-Assisted Distillation for Extremely Efficient Diffusion Model

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    PQCAD-DM combines progressive two-stage quantization with calibration-assisted distillation to halve the sampling steps of a quantized diffusion model while keeping FID scores close to baseline.

  22. Compression Aware Certified Training

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    CACTUS trains a single network on pruned and weight-perturbed copies of itself, beating prior certified-training baselines on compressed MNIST and CIFAR-10 models.

  23. GPLQ: A General, Practical, and Lightning QAT Method for Vision Transformers

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    A two-stage 'activation-first, weights-later' quantization method that reaches competitive 4-bit ViT accuracy with about one epoch of training.

  24. ScalableHD: Scalable and High-Throughput Hyperdimensional Computing Inference on Multi-Core CPUs

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  25. Opt.Gear Technical Report

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  26. Local Stability and Gaussian Smoothing of Quantized Neural Networks

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  28. Progressive Element-wise Gradient Estimation for Neural Network Quantization

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  29. Structured Pruning and Quantization for Learned Image Compression

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  30. Streaming Chain

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