Parameter-efficient fine-tuning (LoRA family)
LoRA
LoRA: Low-Rank Adaptation of Large Language Models
Heavily superseded — a standard baseline that newer methods routinely beat
194 papers critique it · 201 beat it on benchmarks
What papers say
Verbatim critique sentences, each from a paper that cites LoRA as a baseline.
While effective for fine-tuning, existing LoRA-based methods face fundamental challenges when applied to pre-training from scratch. Unlike fine-tuning, where small adaptations naturally exhibit low-rank structure, pre-training from random initialization requires full-rank weight updates to learn diverse representations across the entire parameter space. This mismatch between LoRA's low-rank assumption and pre-training's full-rank requirements results in suboptimal performance in the pre-training stage.
“Due to the design of MHSA, these modules include multiple heads (12 in ViT), and thus the weight updates approximated by the adapters also encompass updates for these multiple heads. However, is the pre-configured multi-head setup in Transformer necessarily essential?”
“While naive LoRA significantly degrades text performance, PLoRA can be seen to preserve the original text capabilities”
“Despite its success, LoRA and similar low-rank approaches still fall short of full fine-tuning in some settings.”
“Existing LoRA-style methods often assume a global low-rank structure across entire weight matrices. However, such assumptions can be overly restrictive: different tasks may activate different subspaces or require localized updates that a single low-rank component fails to capture.”
“However, the full potential of LoRA remains constrained by its inherent design limitations. Specifically, it assumes a uniform rank r for each incremental matrix, not accounting for the varying significance of weight matrices across different modules and layers.”
“Yet, as discussed in Sec. sec: fur matrix based, this adaptation fails to capture the inherent complexity and spatial locality specific to convolution operations. The result is a reshaped two-dimensional structure that compromises the integrity of the original parameter space, leading to a representation that does not fully encapsulate the change of convolutional space.”
“a single LoRA module projects the features of different tasks into the same dense low-dimensional space, causing interference between tasks and failing to effectively separate the knowledge of different tasks”
“LoRA uniformly uses the same rank for all layers, without considering the difference across layers.”
“Despite its effectiveness and popularity, recent studies have underscored that LoRA and its variants face challenges such as diminishing performance~LoRA, and slower convergence~PiSSA relative to full fine-tuning, which deteriorate further as the rank declines~MoRA,HiRA.”
“However, its fixed-rank design across all layers limits flexibility and prevents adaptive capacity allocation to task-specific requirements.”
“Recognizing the LoRA's suboptimality of rigidly applying the same rank to all layers”
Beaten on benchmarks
Head-to-head results where a newer method reports beating LoRA. Values are copied from the source paper's tables — verify against the cited paper.
QuIC beats LoRA
104.2 vs 1.12
Pareto · [LLaMA-7B MATH10K]
QuIC: Quantum-Inspired Compound Adapters for Parameter Efficient Fine-TuningSC-LoRA beats LoRA
10.64 vs 1.05
NQ-open · [Math fine-tuning on MetaMathQA]
SC-LoRA: Balancing Efficient Fine-tuning and Knowledge Preservation via Subspace-Constrained LoRAFAKD beats LoRA
96.53 vs 22.13
NS LoRA (3) beats LoRA
42.2 vs 16.9
Accuracy · [GSM8K, Deepseek-R1-1.5B]
Neurosymbolic LoRA: Why and When to Tune Weights vs. Rewrite PromptsDEeR beats LoRA
84.28 vs 42.15
Queryable LoRA beats LoRA
1.291 vs 223.643
MSE Loss · [Dropwave function, narrow-deep architecture (32 depth, 32 width)]
Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update AtomsSMP-LoRA beats LoRA
1.70 vs 85.80
TPR@5%FPR · [CelebA_Large_5X]
Privacy-Preserving Low-Rank Adaptation against Membership Inference Attacks for Latent Diffusion ModelsHELLoRA beats LoRA
19.60 vs 10.01
Throughput (samples/s) · [OlMoE, Pure variant]
HELLoRA: Hot Experts Layer-Level Low-Rank Adaptation for Mixture-of-Experts ModelsSLoRA beats LoRA
10.68 vs 5.50
MATH · [LLaMA 2-7B]
NLoRA: Nyström-Initiated Low-Rank Adaptation for Large Language ModelsTaskEdge beats LoRA
0.09 vs 0.90
Mean Params. (%) · [VTAB-1k Natural/Specialized/Structured tasks]
Task-Aware Parameter-Efficient Fine-Tuning of Large Pre-Trained Models at the EdgeShareA beats LoRA
6.06 vs 3.21
TenVOO-L beats LoRA
0.190 vs 1.499
MMD · [Jointly fine-tuning (JT)]
Parameter-Efficient Fine-Tuning of 3D DDPM for MRI Image Generation Using Tensor Networks
What to use instead
Recent methods in the same sub-problem, not yet superseded in the knowledge base — arXiv benchmark leaders, not vetted production recommendations.
- May 29, 2026
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- May 19, 2026
- May 15, 2026
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- May 5, 2026
- RDP LoRARDP LoRA: Geometry-Driven Identification for Parameter-Efficient Adaptation in Large Language ModelsApr 21, 2026