Challenge: a new paradigm for low-rank Adaptation (LoRA) uses weight tying and selective training to improve parameter efficiency.
Approach: They propose a paradigm that uses weight tying and selective training to enhance parameter efficiency of Low-rank Adaptation.
Outcome: The proposed paradigm achieves comparable performance to LoRA with reduced model complexity . the proposed paradigm can be used for a variety of tasks and languages .

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LoRA-drop: Efficient LoRA Parameter Pruning based on Output Evaluation (2025.coling-main)

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Challenge: Low-Rank Adaptation (LoRA) is currently the most commonly used PEFT method for fine-tuning models with billions of parameters.
Approach: They propose to use low-rank Adaptation to evaluate LoRA parameter features and then retain LoRA for important layers and the other layers share the same LoRA.
Outcome: The proposed method achieves comparable performance to full fine-tuning and LoRA while retaining 50% of the LoRA parameters on average.
Beyond Full Fine-tuning: Harnessing the Power of LoRA for Multi-Task Instruction Tuning (2024.lrec-main)

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Challenge: Low-Rank Adaptation (LoRA) is a parameter-efficient fine-tuning algorithm for large-scale language models.
Approach: They conduct a systematic study of Low-Rank Adaptation (LoRA) on diverse tasks and rich resources with different learning capacities.
Outcome: The proposed algorithm can achieve remarkable performance in high-resource and multi-task scenarios, even comparable to full fine-tuning.
Revisiting LoRA through the Lens of Parameter Redundancy: Spectral Encoding Helps (2025.findings-acl)

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Challenge: Low-Rank Adaptation (LoRA) has emerged as a prominent technique for fine-tuning large foundation models.
Approach: They propose a low-rank Adaptation technique that harnesses the expressiveness of spectral bases to re-parameterize LoRA from a sparse spectral subspace.
Outcome: The proposed technique achieves greater efficiency with fewer parameters than baselines on various downstream tasks, including commonsense reasoning, math reasoning, and code generation.
From Bottom to Top: Extending the Potential of Parameter Efficient Fine-Tuning (2024.emnlp-main)

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Challenge: Existing methods to fine-tune large language models primarily focus on the interaction between different layers, ignoring the fact that different layers store different information.
Approach: They propose a Parameter Efficient Fine-Tuning method which freeze pre-trained parameters and fine-tunes only a few task-specific parameters.
Outcome: The proposed methods reduce parameter count to nearly half by omitting fine-tuning in the middle layers.
Sparsity May Be All You Need: Sparse Random Parameter Adaptation (2025.findings-emnlp)

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Challenge: Parameter-Efficient Fine-Tuning (PEFT) methods aim at reducing computational and memory resources for fine-tuning large language models.
Approach: They propose to train on a small number of parameters instead of all model parameters . they compare the method to LoRA and find it to be efficient .
Outcome: The proposed method is competitive with LoRA when using a similar number of trainable parameters.
SOS-LoRA: Static Orthogonal-Subspace Low-Rank Adaptation with Fixed Multi-Scale Scaling (2026.acl-long)

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Challenge: Low-Rank Adaptation (LoRA) is a parameter-efficient fine-tuning method for large language models.
Approach: They propose a drop-in extension that reparameterizes a rank-rtot update as a sum of K *static* low-rank experts.
Outcome: Experiments on reasoning and knowledge-intensive benchmarks show consistent gains over matched-budget LoRA.
LoRAN: Improved Low-Rank Adaptation by a Non-Linear Transformation (2024.findings-emnlp)

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Challenge: Recent methods for fine-tuning large language models have shown great improvements on a wide range of NLP tasks.
Approach: They propose to introduce a non-linear transformation to improve performance of adapters by introducing a low-rank adaptation to fit the accumulated weight updates.
Outcome: The proposed method outperforms a baseline on SAMSum and 20 Newsgroups tasks and even improves the classification task by 1.95 points when a lower rank is applied.
PRILoRA: Pruned and Rank-Increasing Low-Rank Adaptation (2024.findings-eacl)

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Challenge: Several approaches to parameter-efficient fine-tuning have been proposed . low-rank Adaptation (LoRA) does not consider the varying importance of each layer .
Approach: They propose a method that allocates a different rank for each layer and performs pruning throughout the training process.
Outcome: The proposed method is based on eight GLUE benchmarks and is currently the state of the art.
BeamLoRA: Beam-Constraint Low-Rank Adaptation (2025.acl-long)

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Challenge: Low-Rank Adaptation (LoRA) is one of the most efficient parameter-efficient fine-tuning methods.
Approach: They propose to conceptualize each LoRA module as a beam where each rank corresponds to a potential sub-solution.
Outcome: The proposed method improves performance on three base models and 12 datasets.
CoLA: Collaborative Low-Rank Adaptation (2025.findings-acl)

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Challenge: The scaling law of Large Language Models (LLMs) reveals diminishing return on performance as model scale increases.
Approach: They propose a more flexible LoRA architecture with an efficient initialization scheme . they propose combining three collaborative strategies to enhance performance .
Outcome: The proposed model outperforms existing methods in low-sample scenarios.

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