Make LoRA Great Again: Boosting LoRA with Adaptive Singular Values and Mixture-of-Experts Optimization Alignment
On the map: Mixture-of-experts → Mixture of LoRA experts
Abstract (arXiv)
While Low-Rank Adaptation (LoRA) enables parameter-efficient fine-tuning for Large Language Models (LLMs), its performance often falls short of Full Fine-Tuning (Full FT). Current methods optimize LoRA by initializing with static singular value decomposition (SVD) subsets, leading to suboptimal leveraging of pre-trained knowledge. Another path for improving LoRA is incorporating a Mixture-of-Experts (MoE) architecture. However, weight misalignment and complex gradient dynamics make it challenging to adopt SVD prior to the LoRA MoE architecture. To mitigate these issues, we propose underlineGreat LunderlineoRunderlineA Mixture-of-Experunderlinet (GOAT), a framework that (1) adaptively integrates relevant priors using an SVD-structured MoE, and (2) aligns optimization with full fine-tuned MoE by deriving a theoretical scaling factor. We demonstrate that proper scaling, without modifying the architecture or training algorithms, boosts LoRA MoE's efficiency and performance. Experiments across 25 datasets, including natural language understanding, commonsense reasoning, image classification, and natural language generation, demonstrate GOAT's state-of-the-art performance, closing the gap with Full FT.
Key facts. Cited by 22 papers in the map (data through 7 Oct 2026). Placed in Mixture of LoRA experts, one of 12 directions in Mixture-of-experts. Builds on 46 of its 84 references that are in the map. First posted on arXiv 24 Feb 2025.
Builds on
46 of 84 references.
References · 46
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- 2015Empirical Evaluation of Rectified Activations in Convolutional Networkcited by 515
- 2024GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projectioncited by 447
- 2024LoRA+: Efficient Low Rank Adaptation of Large Modelscited by 365
- 2023LoraHub: Efficient Cross-Task Generalization via Dynamic LoRA Compositioncited by 359
- 2023LLM-Adapters: An Adapter Family for Parameter-Efficient Fine-Tuning of Large Language Modelscited by 317
- 2024LoRA Learns Less and Forgets Lesscited by 313
- 2024OpenCodeInterpreter: Integrating Code Generation with Execution and Refinementcited by 242
- 2023A Rank Stabilization Scaling Factor for Fine-Tuning with LoRAcited by 231
- 2023Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuningcited by 148
- 2024LoRA-GA: Low-Rank Adaptation with Gradient Approximationcited by 134
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- 2017Bilateral Multi-Perspective Matching for Natural Language Sentencescited by 120
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- 2024Twin-Merging: Dynamic Integration of Modular Expertise in Model Mergingcited by 114
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- 2024Upcycling Large Language Models into Mixture of Expertscited by 48
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Citing papers per year: 2025: 6; 2026: 16.
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- 2025LoRA-Mixer: Coordinate Modular LoRA Experts Through Serial Attention Routingcited by 16
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuningcited by 9
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuningcited by 5
- 2026W2T: LoRA Weights Already Know What They Can Docited by 4
- 2026FedMomentum: Preserving LoRA Training Momentum in Federated Fine-Tuningcited by 3
- 2026Exploring Data-Free LoRA Transferability for Video Diffusion Modelscited by 3
- 2025C-LoRA: Continual Low-Rank Adaptation for Pre-trained Visual Modelscited by 2
- 2025STORM-BORN: A Challenging Mathematical Derivations Dataset Curated via a Human-in-the-Loop Multi-Agent Frameworkcited by 2
- 2025Selecting and Merging: Towards Adaptable and Scalable Named Entity Recognition with Large Language Modelscited by 2
- 2025ER-LoRA: Effective-Rank Guided Adaptation for Weather-Generalized Depth Estimationcited by 2
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluationcited by 2
- 2026Balanced LoRA: Removing Parameter Invariance to Accelerate Convergencecited by 2
10 more
- 2026LoRA-Squeeze: Simple and Effective Post-Tuning and In-Tuning Compression of LoRA Modulescited by 1
- 2026Sparse Spectral LoRA: Routed Experts for Medical VLMscited by 1
- 2026Learning in the Fisher Subspace: A Guided Initialization for LoRA Fine-Tuningcited by 1
- 2026VLA-GSE: Boosting Parameter-Efficient Fine-Tuning in VLA with Generalized and Specialized Expertscited by 1
- 2025FRoD: Full-Rank Efficient Fine-Tuning with Rotational Degrees for Fast Convergencecited by 0
- 2026FourierMoE: Fourier Mixture-of-Experts Adaptation of Large Language Modelscited by 0
- 2026Enhancing Mixture-of-Experts Specialization via Cluster-Aware Upcyclingcited by 0
- 2026Prompt2Effect: Training-Free Image-to-Video Model Specialization via LoRA Generationcited by 0
- 2026Learning to Select, Not Relearn: Hard-Routed Mixtures of Reasoning LoRAscited by 0
- 2026Score the Update, Not the Token: Descent-Aligned Routing for Combinatorial LoRA Expertscited by 0
- 2026Score the Update, Not the Token: Descent-Aligned Routing for Combinatorial LoRA Experts30 Sep 2026
- 2026Learning to Select, Not Relearn: Hard-Routed Mixtures of Reasoning LoRAs30 Jun 2026
- 2026Prompt2Effect: Training-Free Image-to-Video Model Specialization via LoRA Generation11 Jun 2026
- 2026Balanced LoRA: Removing Parameter Invariance to Accelerate Convergence29 May 2026
- 2026VLA-GSE: Boosting Parameter-Efficient Fine-Tuning in VLA with Generalized and Specialized Experts7 May 2026
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuning7 May 2026
- 2026Exploring Data-Free LoRA Transferability for Video Diffusion Models3 May 2026
- 2026Learning in the Fisher Subspace: A Guided Initialization for LoRA Fine-Tuning1 May 2026
- 2026Enhancing Mixture-of-Experts Specialization via Cluster-Aware Upcycling15 Apr 2026
- 2026FourierMoE: Fourier Mixture-of-Experts Adaptation of Large Language Models2 Apr 2026
- 2026Sparse Spectral LoRA: Routed Experts for Medical VLMs1 Apr 2026
- 2026W2T: LoRA Weights Already Know What They Can Do16 Mar 2026
10 more
- 2026FedMomentum: Preserving LoRA Training Momentum in Federated Fine-Tuning9 Mar 2026
- 2026LoRA-Squeeze: Simple and Effective Post-Tuning and In-Tuning Compression of LoRA Modules11 Feb 2026
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuning4 Feb 2026
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluation30 Jan 2026
- 2025FRoD: Full-Rank Efficient Fine-Tuning with Rotational Degrees for Fast Convergence29 Dec 2025
- 2025ER-LoRA: Effective-Rank Guided Adaptation for Weather-Generalized Depth Estimation31 Aug 2025
- 2025Selecting and Merging: Towards Adaptable and Scalable Named Entity Recognition with Large Language Models28 Jun 2025
- 2025LoRA-Mixer: Coordinate Modular LoRA Experts Through Serial Attention Routing17 Jun 2025
- 2025STORM-BORN: A Challenging Mathematical Derivations Dataset Curated via a Human-in-the-Loop Multi-Agent Framework2 Jun 2025
- 2025C-LoRA: Continual Low-Rank Adaptation for Pre-trained Visual Models25 Feb 2025
- 2025LoRA-Mixer: Coordinate Modular LoRA Experts Through Serial Attention Routingcited by 16
- 2026FourierMoE: Fourier Mixture-of-Experts Adaptation of Large Language Modelscited by 0
- 2026Enhancing Mixture-of-Experts Specialization via Cluster-Aware Upcyclingcited by 0
- 2026Score the Update, Not the Token: Descent-Aligned Routing for Combinatorial LoRA Expertscited by 0
- 2026Score the Update, Not the Token: Descent-Aligned Routing for Combinatorial LoRA Experts30 Sep 2026
- 2026Enhancing Mixture-of-Experts Specialization via Cluster-Aware Upcycling15 Apr 2026
- 2026FourierMoE: Fourier Mixture-of-Experts Adaptation of Large Language Models2 Apr 2026
- 2025LoRA-Mixer: Coordinate Modular LoRA Experts Through Serial Attention Routing17 Jun 2025
- 2026Sparse Spectral LoRA: Routed Experts for Medical VLMscited by 1
- 2026Sparse Spectral LoRA: Routed Experts for Medical VLMs1 Apr 2026
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuningcited by 9
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuningcited by 5
- 2026W2T: LoRA Weights Already Know What They Can Docited by 4
- 2026FedMomentum: Preserving LoRA Training Momentum in Federated Fine-Tuningcited by 3
- 2025C-LoRA: Continual Low-Rank Adaptation for Pre-trained Visual Modelscited by 2
- 2025Selecting and Merging: Towards Adaptable and Scalable Named Entity Recognition with Large Language Modelscited by 2
- 2025ER-LoRA: Effective-Rank Guided Adaptation for Weather-Generalized Depth Estimationcited by 2
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluationcited by 2
- 2026Balanced LoRA: Removing Parameter Invariance to Accelerate Convergencecited by 2
- 2026LoRA-Squeeze: Simple and Effective Post-Tuning and In-Tuning Compression of LoRA Modulescited by 1
- 2026Learning in the Fisher Subspace: A Guided Initialization for LoRA Fine-Tuningcited by 1
- 2025FRoD: Full-Rank Efficient Fine-Tuning with Rotational Degrees for Fast Convergencecited by 0
- 2026Balanced LoRA: Removing Parameter Invariance to Accelerate Convergence29 May 2026
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuning7 May 2026
- 2026Learning in the Fisher Subspace: A Guided Initialization for LoRA Fine-Tuning1 May 2026
- 2026W2T: LoRA Weights Already Know What They Can Do16 Mar 2026
- 2026FedMomentum: Preserving LoRA Training Momentum in Federated Fine-Tuning9 Mar 2026
- 2026LoRA-Squeeze: Simple and Effective Post-Tuning and In-Tuning Compression of LoRA Modules11 Feb 2026
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuning4 Feb 2026
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluation30 Jan 2026
- 2025FRoD: Full-Rank Efficient Fine-Tuning with Rotational Degrees for Fast Convergence29 Dec 2025
- 2025ER-LoRA: Effective-Rank Guided Adaptation for Weather-Generalized Depth Estimation31 Aug 2025
- 2025Selecting and Merging: Towards Adaptable and Scalable Named Entity Recognition with Large Language Models28 Jun 2025
- 2025C-LoRA: Continual Low-Rank Adaptation for Pre-trained Visual Models25 Feb 2025
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