ARCHead: Activation-Metric Residual Correction for Large Language Model Output Heads
Şuayp Talha Kocabay, Talha Rüzgar Akkuş, Kamer Ali Yuksel
cs.CL, cs.LG
Submitted: 2026-08-03
Comments: 13 pages, 4 figures. Submitted to ACL Rolling Review (ARR). Code: https://github.com/suayptalha/archead
Code: https://github.com/suayptalha/archead
License: http://creativecommons.org/licenses/by/4.0/
The gist: Weight-only quantization substantially reduces the storage of large language model (LLM) transformer blocks, but practical backends often retain the final language-modeling head (LM-head) in BF16 or
Terminology
Abstract
Weight-only quantization substantially reduces the storage of large language model (LLM) transformer blocks, but practical backends often retain the final language-modeling head (LM-head) in BF16 or FP16. Quantizing this projection naively can strongly perturb the vocabulary-logit distribution. We present ARCHead, a packed LM-head compressor that combines a quantized low-rank core, group-wise INT4 residuals, and a low-rank correction fitted in an activation-derived metric. ARCHead stores no dense BF16 head and reduces persistent LM-head storage by 3.7-3.9x. On Qwen3-8B-Base, it uses 25.6% of BF16 head storage while attaining 1.007 relative perplexity; storage-matched naive INT4 yields 1.14-1.16. Replacing the BF16 head left by AWQ or bitsandbytes adds only 0.006-0.007 cross-entropy, with less than 2% throughput change in our measurements. ARCHead therefore complements block quantizers by compressing the large output projection they can leave untouched. Code is available at https://github.com/suayptalha/archead.
Sources
- Mistral 7B
- SpQR: A Sparse-Quantized Representation for Near-Lossless LLM Weight Compression
- Pointer Sentinel Mixture Models
- GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformers
- Gemma 4 Technical Report
- Language model compression with weighted low-rank factorization
- VibeThinker-3B: Exploring the Frontier of Verifiable Reasoning in Small Language Models
- Qwen3 Technical Report
Related papers
- Exploring Solution Divergence and Its Effect on Large Language Model Problem Solving
- Ishigaki-IDS-Bench: A Benchmark for Generating Information Delivery Specification from BIM Information Requirements
- Subliminal Steering: Stronger Encoding of Hidden Signals
- MedStruct-S: A Benchmark for Key Discovery, Key-Conditioned QA and Semi-Structured Extraction from OCR Clinical Reports
- The End of Transformers? On Challenging Attention and the Rise of Sub-Quadratic Architectures
- Untangling the Mechanisms of Misleading Context in Medical Question Answering