You Had One Job: Per-Task Quantization Using LLMs' Hidden Representations
Pith reviewed 2026-05-21 18:40 UTC · model grok-4.3
The pith
Task-aware quantization allocates higher precision to LLM layers that matter most for a given task using hidden-representation statistics from unlabeled prompts.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
TAQ estimates layer importance from hidden representations and output sensitivity using a small set of unlabeled task calibration prompts, and allocates higher precision to task-relevant layers in a mixed-precision post-training quantization framework, outperforming task-agnostic baselines especially in accuracy-memory ratio, with validation on hardware throughput and latency.
What carries the argument
Task-Aware Quantization (TAQ) framework that computes layer importance scores from hidden-representation statistics or output-distribution sensitivity under a quantization-noise proxy, then assigns mixed precisions accordingly.
If this is right
- Higher precision on task-critical layers improves downstream accuracy under a fixed total bit budget.
- Gains in accuracy-memory ratio appear as concrete improvements in hardware throughput and latency.
- Unlabeled calibration prompts suffice, removing the need for task labels or additional fine-tuning.
- Residual-stream error analysis shows where quantization noise accumulates most harmfully for the task.
Where Pith is reading between the lines
- The same hidden-representation scoring approach could be applied to other compression methods such as structured pruning or knowledge distillation to make them task-conditioned.
- Combining TAQ with hardware-specific cost models might further close the gap between theoretical bit savings and actual inference speed on edge devices.
- Extending calibration sets with synthetic prompts generated by the model itself could improve robustness when real task data is scarce.
Load-bearing premise
Layer importance scores derived from hidden-representation statistics or output-sensitivity proxies on a small set of unlabeled task calibration prompts reliably identify the layers whose precision most affects downstream task performance.
What would settle it
A task and model where any of the TAQ scoring rules produces equal or lower accuracy-memory ratio than uniform or task-agnostic quantization at the same bit budget, as measured on the target hardware.
Figures
read the original abstract
Many LLM applications require only narrow capabilities, yet standard post-training quantization (PTQ) methods allocate precision without considering the target task. This can waste bits on layers that are less relevant to the task signal while over-compressing layers that are critical for downstream behavior. We propose Task-Aware Quantization (TAQ), a training-free, weight-only mixed-precision PTQ framework that uses a small set of unlabeled task calibration prompts to allocate higher precision to task-relevant transformer layers under a fixed bit budget. TAQ estimates layer importance from hidden representations and output sensitivity, and we instantiate it with three scoring rules: TAQ-IS, based on activation information and stability; TAQ-KL, based on output-distribution sensitivity under a quantization-noise proxy; and TAQ-O, a label-informed oracle diagnostic for analyzing layer sensitivity. Across several benchmarks, TAQ outperforms task-agnostic baselines such in most settings, with especially strong gains in the accuracy--memory ratio. We further validate that these gains translate to real deployment behavior through hardware throughput and latency measurements, and analyze calibration robustness and residual-stream error propagation. Overall, TAQ turns mixed-precision PTQ from a model-centric compression step into a task-conditioned precision-allocation problem. A reference implementation is available at https://anonymous.4open.science/r/TAQ-9217/README.md.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces Task-Aware Quantization (TAQ), a training-free weight-only mixed-precision post-training quantization framework for LLMs. It allocates higher bit precision to task-relevant transformer layers under a fixed bit budget by estimating layer importance from hidden-representation statistics and output-sensitivity proxies computed on a small set of unlabeled task calibration prompts. Three instantiations are presented: TAQ-IS (activation information and stability), TAQ-KL (KL-divergence under a quantization-noise proxy), and TAQ-O (label-informed oracle). Experiments across benchmarks show outperformance over task-agnostic baselines in most settings, with notable gains in the accuracy-memory ratio; these are supported by hardware throughput/latency measurements and analyses of calibration robustness and residual-stream error propagation.
Significance. If the per-layer importance scores derived from unlabeled prompts prove to be reliable proxies for task-specific quantization sensitivity, TAQ could meaningfully advance PTQ from model-centric to task-conditioned precision allocation, improving efficiency for narrow-domain LLM applications. The hardware validation and reference implementation are concrete strengths that would increase the work's practical impact if the core proxy assumption holds.
major comments (2)
- [§4.3 and §5.2] §4.3 and §5.2: The central claim that TAQ-IS and TAQ-KL scores correctly rank layers by their marginal impact on downstream task accuracy rests on correlation with the TAQ-O oracle and robustness checks, but the manuscript does not include a direct ablation that measures end-to-end benchmark accuracy when precision is allocated exclusively to the highest- versus lowest-scoring layers (independent of the joint optimization). This leaves the reliability of the proxy under residual-stream interactions untested.
- [Table 3] Table 3 (or equivalent results table): While accuracy-memory ratio gains are reported, the number of calibration prompts and their selection procedure are not stated in the main experimental setup, making it difficult to reproduce or assess sensitivity of the reported outperformance to this choice despite the later robustness section.
minor comments (2)
- [Abstract] Abstract: the clause 'outperforms task-agnostic baselines such in most settings' contains a clear typographical omission and should be rephrased for readability.
- [§3.1] §3.1: The normalization step that converts continuous importance scores into discrete bit assignments under the fixed budget could be stated as an explicit equation to improve clarity of the allocation procedure.
Simulated Author's Rebuttal
We thank the referee for the constructive and detailed feedback on our manuscript. We address each major comment below and describe the revisions we will make to strengthen the paper.
read point-by-point responses
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Referee: [§4.3 and §5.2] §4.3 and §5.2: The central claim that TAQ-IS and TAQ-KL scores correctly rank layers by their marginal impact on downstream task accuracy rests on correlation with the TAQ-O oracle and robustness checks, but the manuscript does not include a direct ablation that measures end-to-end benchmark accuracy when precision is allocated exclusively to the highest- versus lowest-scoring layers (independent of the joint optimization). This leaves the reliability of the proxy under residual-stream interactions untested.
Authors: We agree that a direct ablation isolating the ranking effect would provide stronger validation of the proxy scores. Our current results show high correlation between TAQ-IS/TAQ-KL and the TAQ-O oracle along with robustness to calibration variations, but these do not fully isolate the impact of selecting highest- versus lowest-ranked layers under residual-stream interactions. We will add this ablation experiment in the revised manuscript, reporting end-to-end accuracy for precision allocation based solely on top-k versus bottom-k layers according to each scoring method. revision: yes
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Referee: [Table 3] Table 3 (or equivalent results table): While accuracy-memory ratio gains are reported, the number of calibration prompts and their selection procedure are not stated in the main experimental setup, making it difficult to reproduce or assess sensitivity of the reported outperformance to this choice despite the later robustness section.
Authors: We thank the referee for highlighting this clarity issue. The main experiments use 32 calibration prompts randomly sampled from the unlabeled task data, with details provided in the robustness section. To improve reproducibility, we will explicitly state the number of prompts and the random sampling procedure in the primary experimental setup description in the revised manuscript. revision: yes
Circularity Check
No significant circularity in TAQ derivation chain
full rationale
The paper computes layer importance scores (TAQ-IS, TAQ-KL) directly from forward-pass observables on unlabeled calibration prompts: activation statistics, stability measures, and output-distribution sensitivity under a quantization-noise proxy. These quantities are independent of the final task accuracy metric and are not fitted to it; they serve as proxies for precision allocation under a fixed bit budget. The TAQ-O oracle is presented as a diagnostic contrast rather than a load-bearing input. No equations reduce the claimed predictions to self-definitions, fitted inputs renamed as outputs, or self-citation chains. The method remains self-contained against external benchmarks and hardware measurements.
Axiom & Free-Parameter Ledger
free parameters (1)
- bit budget allocation
axioms (1)
- domain assumption Quantization noise can be modeled as a proxy for output distribution shift without retraining
Reference graph
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