Challenge: LoRA is a key technique for fine-tuning large pre-trained models, yet its performance in multi-task learning scenarios often falls short.
Approach: They propose a mixture-of-shared-LoRAs model with a dropout strategy . they propose to share the upper projection matrix among different experts .
Outcome: The proposed model exhibits excellent performance in both single-task and multi-task scenarios with robust out-of-domain generalization capabilities.

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Mixture-of-LoRAs: An Efficient Multitask Tuning Method for Large Language Models (2024.lrec-main)

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Challenge: Instruction Tuning has the potential to stimulate or enhance specific capabilities of large language models.
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MoDULA: Mixture of Domain-Specific and Universal LoRA for Multi-Task Learning (2024.emnlp-main)

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Challenge: Recent advances in open-source Large Language Models (LLMs) have achieved notable successes in natural language processing.
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MALoRA: Mixture of Asymmetric Low-Rank Adaptation for Enhanced Multi-Task Learning (2025.findings-naacl)

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Challenge: Large Language Models (LLMs) can be fine-tuned to new tasks, but in multi-task scenarios, training imbalance and seesaw effect often arise.
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SAMoRA: Semantic-Aware Mixture of LoRA Experts for Task-Adaptive Learning (2026.findings-acl)

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Challenge: Existing methods for multitask learning fail to match input semantics with expert capabilities, leading to weak expert specialization.
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Rethinking Parameter Sharing for LLM Fine-Tuning with Multiple LoRAs (2026.findings-acl)

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Challenge: Existing methods for large language models use parameter-efficient techniques such as Low-Rank Adaptation (LoRA) prior studies suggest that the inner A matrices are highly similar during training and therefore suitable for sharing.
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SLIM: Let LLM Learn More and Forget Less with Soft LoRA and Identity Mixture (2025.naacl-long)

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Challenge: balancing the training budget, downstream performance, and general capabilities of large language models remains a challenge in many applications.
Approach: They propose a mixture of expert framework based on Soft LoRA and Identity Mixture . SLIM allows dynamic routing between LoRA adapters and identity layers .
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PEMT: Multi-Task Correlation Guided Mixture-of-Experts Enables Parameter-Efficient Transfer Learning (2024.findings-acl)

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Challenge: Parameter-efficient fine-tuning (PEFT) is an effective method for adapting pre-trained language models to various tasks efficiently.
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MoLA: MoE LoRA with Layer-wise Expert Allocation (2025.findings-naacl)

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Challenge: Recent efforts to integrate low-rank adaptation (LoRA) with the Mixture-of-Experts (MoE) have achieved performance comparable to full-parameter fine-tuning by tuning much fewer parameters.
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R-LoRA: Randomized Multi-Head LoRA for Efficient Multi-task Learning (2025.findings-emnlp)

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Challenge: Low-Rank Adaptation (LoRA) improves performance in multi-task learning by diversifying the head matrices through Multi-Head Dropout and Multi-head Random Initialization.
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MoKA:Parameter Efficiency Fine-Tuning via Mixture of Kronecker Product Adaption (2025.coling-main)

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Challenge: Low-Rank Adaptation (LoRA) is one of the most popular PEFT methods . low-rank update mechanism of LoRA somewhat limits its ability to approximate full-parameter fine-tuning during training process.
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