LKBQ: Pushing the Limit of Post-Training Quantization to Extreme 1 bit
Bibliographic record
Abstract
Recent advances have shown the potential for post-training quantization (PTQ) to reduce excessive hardware resources and quantize deep models to low bits in a short time, compared with Quantization-Aware Training (QAT). However, existing PTQ approaches lose a lot of accuracies when quantizing the model to extremely low bits, e.g., 1 bit. In this work, we propose layer-by-layer self-knowledge distillation binary post-training quantization (LKBQ), the first method capable of quantizing the weights of neural networks to 1 bit in PTQ domain. We show that careful use of layer-by-layer self-distillation within the LKBQ can provide a significant performance boost. Furthermore, our evaluation results show that the initialization of quantized network weights can have a huge impact on the results. Then we propose three methods for weight initialization. Finally, in light of the characteristics of the binarized network, we propose a method named gradient scaling to further improve efficiency. Our experiments show that LKBQ pushes the limit of PTQ to extreme 1-bit for the first time.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".