Aletheia: Gradient-Guided Layer Selection for Efficient LoRA Fine-Tuning Across Architectures
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Abstract (arXiv)
Low-Rank Adaptation (LoRA) has become the dominant parameter-efficient fine-tuning method for large language models, yet standard practice applies LoRA adapters uniformly to all transformer layers regardless of their relevance to the downstream task. We introduce Aletheia, a gradient-guided layer selection method that identifies the most task-relevant layers via a lightweight gradient probe and applies LoRA adapters only to those layers with asymmetric rank allocation. Across 81 experiment rows covering 14 successful models from 8 architecture families (0.5B-72B parameters, including dense and Mixture-of-Experts architectures), with one additional documented failed Pythia/GPT-NeoX attempt in Campaign 2, Aletheia achieves a 15-28% training speedup (mean 23.1%, p < 0.001) with bounded extra forgetting and broadly matched downstream behavior on the evaluated MMLU, GSM8K, and HumanEval benchmark pack. Across the tested families and scales, Campaign 1 shows a 100% per-model speed win rate and Campaign 2 shows broadly preserved downstream behavior within a bounded-degradation framing. Together these results support a practical model-economics claim: intelligent layer selection can make LoRA fine-tuning materially more efficient without introducing major downstream damage on the evaluated set.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 8 of its 13 references that are in the map. First posted on arXiv 4 Apr 2026.
Builds on
8 of 13 references.
References · 8
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,380
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2020Measuring Massive Multitask Language Understandingcited by 7,963
- 2023QLoRA: Efficient Finetuning of Quantized LLMscited by 3,418
- 2024DoRA: Weight-Decomposed Low-Rank Adaptationcited by 758
- 2019Reducing Transformer Depth on Demand with Structured Dropoutcited by 439
- 2023The Truth is in There: Improving Reasoning in Language Models with Layer-Selective Rank Reductioncited by 123
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Citing papers per year: 2026: 3.
3 papers.
Similar, not cited
Close in wording, no citation either way
- 2024LoRA-XS: Low-Rank Adaptation with Extremely Small Number of Parameters
- 2024Higher Layers Need More LoRA Experts
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuning
- 2025MASA: Rethinking the Representational Bottleneck in LoRA with Multi-A Shared Adaptation
- 2026Where to Adapt Matters: Layer-Selective Fine-Tuning for Capability Retention
- 2026Parameter-Efficient Fine-Tuning with Learnable Rank
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptation
- 2025Less is More: Resource-Efficient Low-Rank Adaptation