Tied-Lora: Enhancing parameter efficiency of LoRA with weight tying
Not on the map. Why?
Abstract (arXiv)
We introduce Tied-LoRA, a novel paradigm leveraging weight tying and selective training to enhance the parameter efficiency of Low-rank Adaptation (LoRA). Our exploration encompasses different plausible combinations of parameter training and freezing, coupled with weight tying, aimed at identifying the optimal trade-off between performance and the count of trainable parameters. Across 5 diverse tasks and two foundational language models with different parameter counts, our experiments provide comprehensive insights into the inherent trade-offs between efficiency and performance. Our findings reveal a specific Tied-LoRA configuration that distinguishes itself by showcasing comparable performance to LoRA across multiple tasks while utilizing only a fraction of the parameters employed by the standard LoRA method, particularly at elevated ranks. This underscores the efficacy of Tied-LoRA in achieving impressive results with significantly reduced model complexity.
Key facts. Cited by 65 papers in the map (data through 7 Oct 2026). Builds on 20 of its 30 references that are in the map. First posted on arXiv 16 Nov 2023.
Builds on
20 of 30 references.
References · 20
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,084
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2019Parameter-Efficient Transfer Learning for NLPcited by 4,195
- 2016SQuAD: 100,000+ Questions for Machine Comprehension of Textcited by 4,115
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
- 2021Prefix-Tuning: Optimizing Continuous Prompts for Generationcited by 3,878
- 2023QLoRA: Efficient Finetuning of Quantized LLMscited by 3,355
- 2021BitFit: Simple Parameter-efficient Fine-tuning for Transformer-based Masked Language-modelscited by 1,234
- 2022Few-Shot Parameter-Efficient Fine-Tuning is Better and Cheaper than In-Context Learningcited by 886
- 2020AdapterFusion: Non-Destructive Task Composition for Transfer Learningcited by 780
- 2023VeRA: Vector-based Random Matrix Adaptationcited by 294
8 more
- 2016Using the Output Embedding to Improve Language Modelscited by 266
- 2020AdapterDrop: On the Efficiency of Adapters in Transformerscited by 223
- 2023LoRA Fine-tuning Efficiently Undoes Safety Training in Llama 2-Chat 70Bcited by 183
- 2021DialogSum: A Real-Life Scenario Dialogue Summarization Datasetcited by 181
- 2020Exploring Versatile Generative Language Model Via Parameter-Efficient Transfer Learningcited by 139
- 2016Tying Word Vectors and Word Classifiers: A Loss Framework for Language Modelingcited by 87
- 2023One-for-All: Generalized LoRA for Parameter-Efficient Fine-tuningcited by 84
- 2023Efficient Adaptation of Large Vision Transformer via Adapter Re-Composingcited by 35
Built on by
Citing papers per year: 2024: 31; 2025: 21; 2026: 13.
65 papers.
Sort:
By area:
- 2024DoRA: Weight-Decomposed Low-Rank Adaptationcited by 740
- 2024GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projectioncited by 447
- 2024MixLoRA: Enhancing Large Language Models Fine-Tuning with LoRA-based Mixture of Expertscited by 144
- 2024Chain of LoRA: Efficient Fine-tuning of Language Models via Residual Learningcited by 80
- 2024LoRA-XS: Low-Rank Adaptation with Extremely Small Number of Parameterscited by 73
- 2024A Survey on LoRA of Large Language Modelscited by 67
- 2024VB-LoRA: Extreme Parameter Efficient Fine-Tuning with Vector Bankscited by 52
- 2024CorDA: Context-Oriented Decomposition Adaptation of Large Language Models for Task-Aware Parameter-Efficient Fine-tuningcited by 41
- 2024LoRA-drop: Efficient LoRA Parameter Pruning based on Output Evaluationcited by 38
- 2024Q-GaLore: Quantized GaLore with INT4 Projection and Layer-Adaptive Low-Rank Gradientscited by 36
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2024From Low Rank Gradient Subspace Stabilization to Low-Rank Weights: Observations, Theories, and Applicationscited by 24
38 more
- 2024Closed-form merging of parameter-efficient modules for Federated Continual Learningcited by 22
- 2024VeLoRA: Memory Efficient Training using Rank-1 Sub-Token Projectionscited by 18
- 2024Initialization using Update Approximation is a Silver Bullet for Extremely Efficient Low-Rank Fine-Tuningcited by 18
- 2025SubTrack++ : Gradient Subspace Tracking for Scalable LLM Trainingcited by 14
- 2024Adapter-X: A Novel General Parameter-Efficient Fine-Tuning Framework for Visioncited by 13
- 2024See Further for Parameter Efficient Fine-tuning by Standing on the Shoulders of Decompositioncited by 13
- 2024NoRA: Nested Low-Rank Adaptation for Efficient Fine-Tuning Large Modelscited by 13
- 2024Mini-batch Coresets for Memory-efficient Language Model Training on Data Mixturescited by 12
- 2024ShareLoRA: Parameter Efficient and Robust Large Language Model Fine-tuning via Shared Low-Rank Adaptationcited by 11
- 2026Not All Directions Matter: Towards Structured and Task-Aware Low-Rank Model Adaptationcited by 11
- 2024Parameter-Efficient Fine-Tuning of Large Language Models using Semantic Knowledge Tuningcited by 10
- 2025LOST: Low-rank and Sparse Pre-training for Large Language Modelscited by 10
- 2025Hierarchical LoRA MoE for Efficient CTR Model Scalingcited by 10
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuningcited by 9
- 2024MoS: Unleashing Parameter Efficiency of Low-Rank Adaptation with Mixture of Shardscited by 7
- 2025SSH: Sparse Spectrum Adaptation via Discrete Hartley Transformationcited by 7
- 2025Uni-LoRA: One Vector is All You Needcited by 7
- 2025Fine Tuning without Catastrophic Forgetting via Selective Low Rank Adaptationcited by 6
- 2025RaSA: Rank-Sharing Low-Rank Adaptationcited by 6
- 2025HydraOpt: Navigating the Efficiency-Performance Trade-off of Adapter Mergingcited by 6
- 2024Functional-level Uncertainty Quantification for Calibrated Fine-tuning on LLMscited by 5
- 2025PiCa: Parameter-Efficient Fine-Tuning with Column Space Projectioncited by 5
- 2024Maintaining Structural Integrity in Parameter Spaces for Parameter Efficient Fine-tuningcited by 4
- 2024Task-Specific Directions: Definition, Exploration, and Utilization in Parameter Efficient Fine-Tuningcited by 4
- 2025CoMoE: Contrastive Representation for Mixture-of-Experts in Parameter-Efficient Fine-tuningcited by 4
- 2025Dynamic Context-oriented Decomposition for Task-aware Low-rank Adaptation with Less Forgetting and Faster Convergencecited by 4
- 2024Low-rank finetuning for LLMs: A fairness perspectivecited by 3
- 2025FLoE: Fisher-Based Layer Selection for Efficient Sparse Adaptation of Low-Rank Expertscited by 3
- 2025WeightLoRA: Keep Only Necessary Adapterscited by 3
- 2025K-Merge: Online Continual Merging of Adapters for On-device Large Language Modelscited by 3
- 2026FlexLoRA: Entropy-Guided Flexible Low-Rank Adaptationcited by 3
- 2026Investigating Single-Block Recurrence in Vision Transformers for Image Recognitioncited by 3
- 2024SBoRA: Low-Rank Adaptation with Regional Weight Updatescited by 2
- 2024SeLoRA: Self-Expanding Low-Rank Adaptation of Latent Diffusion Model for Medical Image Synthesiscited by 2
- 2024ALLoRA: Adaptive Learning Rate Mitigates LoRA Fatal Flawscited by 2
- 2025LoRA Users Beware: A Few Spurious Tokens Can Manipulate Your Finetuned Modelcited by 2
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluationcited by 2
- 2026Low-Rank Adaptation Redux for Large Modelscited by 2
50 most cited of 65 All 65 (JSON)
- 2026Efficient Task Adaptation in Large Language Models: A Survey of Weight-Based, Prompt-Based, and Embedding-Based Adaptations1 Oct 2026
- 2026SAPE: Sandwich Adapters for Parameter Efficiency in Large Language Model Fine-Tuning15 Aug 2026
- 2026LoRSA: Toward Generalizable Parameter-Efficient Fine-Tuning for Biomedical Downstream Tasks7 Aug 2026
- 2026Transferable Low-Rank Convolutional Bases for Onboarding Unseen Medical Imaging Modalities18 Jul 2026
- 2026SAD-LoRA: Spectral Alignment for Low-Rank Knowledge Distillation5 Jul 2026
- 2026Investigating Single-Block Recurrence in Vision Transformers for Image Recognition11 May 2026
- 2026Low-Rank Adaptation Redux for Large Models23 Apr 2026
- 2026Not All Directions Matter: Towards Structured and Task-Aware Low-Rank Model Adaptation15 Mar 2026
- 2026CoSA: Compressed Sensing-Based Adaptation of Large Language Models5 Feb 2026
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuning4 Feb 2026
- 2026LiME: Lightweight Mixture of Experts for Efficient Multimodal Multi-task Learning1 Feb 2026
- 2026FlexLoRA: Entropy-Guided Flexible Low-Rank Adaptation30 Jan 2026
38 more
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluation30 Jan 2026
- 2025K-Merge: Online Continual Merging of Adapters for On-device Large Language Models15 Oct 2025
- 2025Hierarchical LoRA MoE for Efficient CTR Model Scaling12 Oct 2025
- 2025Geometrically Principled Randomized Optimization for Efficient LLM Training2 Oct 2025
- 2025LOST: Low-rank and Sparse Pre-training for Large Language Models4 Aug 2025
- 2025HydraOpt: Navigating the Efficiency-Performance Trade-off of Adapter Merging23 Jul 2025
- 2025Solo Connection: A Parameter Efficient Fine-Tuning Technique for Transformers18 Jul 2025
- 2025Dynamic Context-oriented Decomposition for Task-aware Low-rank Adaptation with Less Forgetting and Faster Convergence16 Jun 2025
- 2025LoRA Users Beware: A Few Spurious Tokens Can Manipulate Your Finetuned Model13 Jun 2025
- 2025WeightLoRA: Keep Only Necessary Adapters3 Jun 2025
- 2025Uni-LoRA: One Vector is All You Need1 Jun 2025
- 2025FLoE: Fisher-Based Layer Selection for Efficient Sparse Adaptation of Low-Rank Experts31 May 2025
- 2025PiCa: Parameter-Efficient Fine-Tuning with Column Space Projection26 May 2025
- 2025CoMoE: Contrastive Representation for Mixture-of-Experts in Parameter-Efficient Fine-tuning23 May 2025
- 2025CA-LoRA: Concept-Aware LoRA for Domain-Aligned Segmentation Dataset Generation28 Mar 2025
- 2025RaSA: Rank-Sharing Low-Rank Adaptation16 Mar 2025
- 2025On the Duality between Gradient Transformations and Adapters19 Feb 2025
- 2025DiffoRA: Enabling Parameter-Efficient Fine-Tuning via Differential Module Selection13 Feb 2025
- 2025HRP: High-Rank Preheating for Superior LoRA Initialization11 Feb 2025
- 2025SSH: Sparse Spectrum Adaptation via Discrete Hartley Transformation8 Feb 2025
- 2025SubTrack++ : Gradient Subspace Tracking for Scalable LLM Training3 Feb 2025
- 2025Fine Tuning without Catastrophic Forgetting via Selective Low Rank Adaptation26 Jan 2025
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Review31 Dec 2024
- 2024Initialization using Update Approximation is a Silver Bullet for Extremely Efficient Low-Rank Fine-Tuning29 Nov 2024
- 2024Closed-form merging of parameter-efficient modules for Federated Continual Learning23 Oct 2024
- 2024LoKO: Low-Rank Kalman Optimizer for Online Fine-Tuning of Large Models15 Oct 2024
- 2024ALLoRA: Adaptive Learning Rate Mitigates LoRA Fatal Flaws13 Oct 2024
- 2024Parameter-Efficient Fine-Tuning of Large Language Models using Semantic Knowledge Tuning11 Oct 2024
- 2024Functional-level Uncertainty Quantification for Calibrated Fine-tuning on LLMs9 Oct 2024
- 2024MoS: Unleashing Parameter Efficiency of Low-Rank Adaptation with Mixture of Shards1 Oct 2024
- 2024Task-Specific Directions: Definition, Exploration, and Utilization in Parameter Efficient Fine-Tuning2 Sep 2024
- 2024NoRA: Nested Low-Rank Adaptation for Efficient Fine-Tuning Large Models18 Aug 2024
- 2024SeLoRA: Self-Expanding Low-Rank Adaptation of Latent Diffusion Model for Medical Image Synthesis13 Aug 2024
- 2024Mini-batch Coresets for Memory-efficient Language Model Training on Data Mixtures28 Jul 2024
- 2024From Low Rank Gradient Subspace Stabilization to Low-Rank Weights: Observations, Theories, and Applications15 Jul 2024
- 2024Q-GaLore: Quantized GaLore with INT4 Projection and Layer-Adaptive Low-Rank Gradients11 Jul 2024
- 2024A Survey on LoRA of Large Language Models8 Jul 2024
- 2024See Further for Parameter Efficient Fine-tuning by Standing on the Shoulders of Decomposition7 Jul 2024
50 newest of 65 All 65 (JSON)
- 2024MixLoRA: Enhancing Large Language Models Fine-Tuning with LoRA-based Mixture of Expertscited by 144
- 2025Hierarchical LoRA MoE for Efficient CTR Model Scalingcited by 10
- 2024MoS: Unleashing Parameter Efficiency of Low-Rank Adaptation with Mixture of Shardscited by 7
- 2025CoMoE: Contrastive Representation for Mixture-of-Experts in Parameter-Efficient Fine-tuningcited by 4
- 2026LiME: Lightweight Mixture of Experts for Efficient Multimodal Multi-task Learningcited by 0
- 2026LiME: Lightweight Mixture of Experts for Efficient Multimodal Multi-task Learning1 Feb 2026
- 2025Hierarchical LoRA MoE for Efficient CTR Model Scaling12 Oct 2025
- 2025CoMoE: Contrastive Representation for Mixture-of-Experts in Parameter-Efficient Fine-tuning23 May 2025
- 2024MoS: Unleashing Parameter Efficiency of Low-Rank Adaptation with Mixture of Shards1 Oct 2024
- 2024MixLoRA: Enhancing Large Language Models Fine-Tuning with LoRA-based Mixture of Experts22 Apr 2024
- 2024DoRA: Weight-Decomposed Low-Rank Adaptationcited by 740
- 2024GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projectioncited by 447
- 2024Chain of LoRA: Efficient Fine-tuning of Language Models via Residual Learningcited by 80
- 2024LoRA-XS: Low-Rank Adaptation with Extremely Small Number of Parameterscited by 73
- 2024A Survey on LoRA of Large Language Modelscited by 67
- 2024VB-LoRA: Extreme Parameter Efficient Fine-Tuning with Vector Bankscited by 52
- 2024CorDA: Context-Oriented Decomposition Adaptation of Large Language Models for Task-Aware Parameter-Efficient Fine-tuningcited by 41
- 2024LoRA-drop: Efficient LoRA Parameter Pruning based on Output Evaluationcited by 38
- 2024Q-GaLore: Quantized GaLore with INT4 Projection and Layer-Adaptive Low-Rank Gradientscited by 36
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2024From Low Rank Gradient Subspace Stabilization to Low-Rank Weights: Observations, Theories, and Applicationscited by 24
- 2024Closed-form merging of parameter-efficient modules for Federated Continual Learningcited by 22
12 most cited of 58 All 58 (JSON)
- 2026Efficient Task Adaptation in Large Language Models: A Survey of Weight-Based, Prompt-Based, and Embedding-Based Adaptations1 Oct 2026
- 2026SAPE: Sandwich Adapters for Parameter Efficiency in Large Language Model Fine-Tuning15 Aug 2026
- 2026LoRSA: Toward Generalizable Parameter-Efficient Fine-Tuning for Biomedical Downstream Tasks7 Aug 2026
- 2026Transferable Low-Rank Convolutional Bases for Onboarding Unseen Medical Imaging Modalities18 Jul 2026
- 2026SAD-LoRA: Spectral Alignment for Low-Rank Knowledge Distillation5 Jul 2026
- 2026Investigating Single-Block Recurrence in Vision Transformers for Image Recognition11 May 2026
- 2026Low-Rank Adaptation Redux for Large Models23 Apr 2026
- 2026Not All Directions Matter: Towards Structured and Task-Aware Low-Rank Model Adaptation15 Mar 2026
- 2026CoSA: Compressed Sensing-Based Adaptation of Large Language Models5 Feb 2026
- 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuning4 Feb 2026
- 2026FlexLoRA: Entropy-Guided Flexible Low-Rank Adaptation30 Jan 2026
- 2026A Unified Study of LoRA Variants: Taxonomy, Review, Codebase, and Empirical Evaluation30 Jan 2026
12 newest of 58 All 58 (JSON)