Writing study: CAT-Q: Cost-efficient and Accurate Ternary Quantization for LLMs
← ICML 2026 oral writing corpus
Shigeng Wang, Chao Li, Yangyuxuan Kang, Jiawei Fan, Anbang Yao · Official ICML 2026 oral record
Figure, table and section ledger
Editorial contribution type: Efficiency, inference & systems (primary).
Layout extraction, not a required paper template. Counts are distinct caption labels; a multi-panel figure counts once. Section spans are estimated from heading positions, including floats and whitespace. Method and limitations.
- Canonical PDF
- 19 physical pages
- Before references / appendix
- ≈ 9.04 page-equivalents
- Main figures / tables
- 3 / 13
- Attached appendix figures / tables
- 11 / 2
- Attached appendix span
- ≈ 6.91 page-equivalents
Source-bound correction: Restore the source’s letter-only appendix captions: Tables A-B and Figures A-K on physical pp14-19. These are caption labels, not numbered main sections.
Section-by-section lengths and source pages
The title/abstract/front matter precede the first numbered heading. A span ends at the next detected top-level heading, not at the last sentence; end-page whitespace is included. References and statements are listed separately. These are not measurements of text-only or artwork area.
| Top-level heading | Starts on PDF page | Estimated span | Share of entire PDF |
|---|---|---|---|
| 1. Introduction | 1 | ≈ 1.55 pp. | 8.16% |
| 2. Method | 2 | ≈ 2.76 pp. | 14.53% |
| 3. Experiments | 5 | ≈ 3.63 pp. | 19.11% |
| 4. Related Work | 9 | ≈ 0.5 pp. | 2.63% |
| 5. Conclusion | 9 | ≈ 0.1 pp. | 0.53% |
| Impact Statement | 9 | ≈ 0.14 pp. | 0.74% |
| References | 10 | ≈ 3.04 pp. | 16% |
| Appendix | 13 | ≈ 0.2 pp. | 1.05% |
| A. Datasets Used in Experiments | 13 | ≈ 0.8 pp. | 4.21% |
| B. Implementation Details of CAT-Q | 14 | ≈ 0.69 pp. | 3.63% |
| C. Illustrations of the Smooth Transition Function f (·) with Varying Sharpness | 14 | ≈ 0.71 pp. | 3.74% |
| D. Comparison of Loss Curves of CAT-Q with vs. without the ST Component | 15 | ≈ 0.17 pp. | 0.89% |
| E. A Pilot Study of CAT-Q on Challenging Mathematics and Coding Tasks | 15 | ≈ 0.43 pp. | 2.26% |
| F. A More Comprehensive Comparison of Different Strategies for Determining α and ∆. | 16 | ≈ 0.24 pp. | 1.26% |
| G. Discussion of Limitations | 16 | ≈ 3.67 pp. | 19.32% |
All detected figure and table locations
Main text
Argument and organization
- 1 Introduction; 2 Method
Separates ternary post-training quantization from training low-bit models from scratch.
- 2.2-2.4 Components
Builds modulation, soft-to-hard conversion and the sliding-layer reconstruction objective.
- 3 Experiments; 4 Related Work; 5 Conclusion
Separates model quality, component ablations and measured deployment performance.
Problem, claim and contribution
The low-data headline concerns calibration of pretrained models, making inherited pretraining an essential part of the comparison context.
Abstract, p.1; Tables 2-3, p.6 · Main paper
Argument and section order
The method distinguishes a learnable distribution adjustment from the transition schedule and the multi-layer objective that uses both.
Section 2, pp.3-5 · Main paper
Figures, captions and visual explanation
The overview places learned factors and statistical priors beneath the conversion flow; deployment results put hardware, batch size, length and actual storage formats in the caption.
Figure 1, p.3; Table 13, p.9 · Main paper
Tables, comparisons and evidence
Full-precision rows retain the accuracy loss after ternarization, while comparisons with QAT models explicitly count quantization-stage tokens.
Tables 1-3, p.6 · Main paper
Appendix and reproducibility
The supplement begins with an itemized roadmap and ends by acknowledging remaining accuracy gaps and limited optimized kernel support.
Appendix opening, p.13; Appendix G, p.16 · Main paper
Clarity and writing conventions
The broad efficiency claim is made more interpretable by separate quality, calibration-cost and hardware-throughput reports rather than bit width alone.
Sections 3.3-3.4, pp.6-9 · Main paper
What to reuse—and what not to infer
Transferable lesson: Separate inherited model cost, calibration cost, representation size and measured deployment speed instead of treating one as a proxy for all four.
Boundary: The large token reduction is not an end-to-end pretraining saving; accuracy remains below full precision and deployment gains are hardware/format-specific.
Apply this lesson using the argument and evidence worksheet.
Inspection record and sources
- Checked
- 2026-10-07
- Reading status
- Writing-focused manuscript scan + selected visuals inspected
- Main text
- Writing-oriented scan of the main argument through physical p.9, with focused physical-page text inspection on 1, 3, 5, 6, 7, 9. Framing, section progression, mechanism/proof explanation, displays, comparison conditions and conclusions were inspected. This is not exhaustive technical reading, proof verification or reproduction.
- Appendix / supplement
- Appendix organization and main-text pointers were checked; focused text inspection of physical pages 13, 16. Remaining appendix proofs and details were not exhaustively read. No separately linked supplement inspected.
- Visually inspected PDF pages
- 3, 9
This is a writing-focused scan of the manuscript and the stated supplementary scope: framing, organization, visual explanation, evidence presentation and wording. It is not a line-by-line proof audit, reproduction of results or exhaustive scientific review.