Task Arithmetic with LoRA for Continual Learning
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Abstract (arXiv)
Continual learning refers to the problem where the training data is available in sequential chunks, termed "tasks". The majority of progress in continual learning has been stunted by the problem of catastrophic forgetting, which is caused by sequential training of the model on streams of data. Moreover, it becomes computationally expensive to sequentially train large models multiple times. To mitigate both of these problems at once, we propose a novel method to continually train transformer-based vision models using low-rank adaptation and task arithmetic. Our method completely bypasses the problem of catastrophic forgetting, as well as reducing the computational requirement for training models on each task. When aided with a small memory of 10 samples per class, our method achieves performance close to full-set finetuning. We present rigorous ablations to support the prowess of our method.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). Builds on 18 of its 27 references that are in the map. First posted on arXiv 4 Nov 2023.
Builds on
18 of 27 references.
References · 18
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,084
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,082
- 2016Overcoming catastrophic forgetting in neural networkscited by 4,718
- 2020Training data-efficient image transformers & distillation through attentioncited by 4,560
- 2019Parameter-Efficient Transfer Learning for NLPcited by 4,195
- 2016Learning without Forgettingcited by 2,465
- 2021BEiT: BERT Pre-Training of Image Transformerscited by 2,360
- 2017Continual Learning with Deep Generative Replaycited by 1,152
6 more
- 2018Experience Replay for Continual Learningcited by 1,074
- 2018Efficient Lifelong Learning with A-GEMcited by 1,044
- 2021ConViT: Improving Vision Transformers with Soft Convolutional Inductive Biasescited by 484
- 2023ZipIt! Merging Models from Different Tasks without Trainingcited by 178
- 2021Avalanche: an End-to-End Library for Continual Learningcited by 124
- 2022Continual VQA for Disaster Response Systemscited by 2
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Citing papers per year: 2024: 12; 2025: 14; 2026: 5.
31 papers.
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- 2024Model Merging in LLMs, MLLMs, and Beyond: Methods, Theories, Applications and Opportunitiescited by 247
- 2024A Survey on LoRA of Large Language Modelscited by 67
- 2025SD-LoRA: Scalable Decoupled Low-Rank Adaptation for Class Incremental Learningcited by 60
- 2025When is Task Vector Provably Effective for Model Editing? A Generalization Analysis of Nonlinear Transformerscited by 38
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2024Online-LoRA: Task-free Online Continual Learning via Low Rank Adaptationcited by 26
- 2024PILoRA: Prototype Guided Incremental LoRA for Federated Class-Incremental Learningcited by 19
- 2025MINGLE: Mixture of Null-Space Gated Low-Rank Experts for Test-Time Continual Model Mergingcited by 14
- 2025Parameter-Efficient Continual Fine-Tuning: A Surveycited by 11
- 2025Continual Gradient Low-Rank Projection Fine-Tuning for LLMscited by 10
- 2024DPPA: Pruning Method for Large Language Model to Model Mergingcited by 7
- 2024Calibrating Bayesian Learning via Regularization, Confidence Minimization, and Selective Inferencecited by 6
19 more
- 2024An Empirical Analysis of Forgetting in Pre-trained Models with Incremental Low-Rank Updatescited by 6
- 2026When Shared Knowledge Hurts: Spectral Over-Accumulation in Model Mergingcited by 5
- 2024DESIRE: Dynamic Knowledge Consolidation for Rehearsal-Free Continual Learningcited by 4
- 2025A Systematic Study of In-the-Wild Model Merging for Large Language Modelscited by 4
- 2024Disentangling Latent Shifts of In-Context Learning with Weak Supervisioncited by 3
- 2025Parameter Efficient Continual Learning with Dynamic Low-Rank Adaptationcited by 3
- 2025CLoRA: Parameter-Efficient Continual Learning with Low-Rank Adaptationcited by 2
- 2025Toward a Holistic Approach to Continual Model Mergingcited by 2
- 2025MAGIC: Achieving Superior Model Merging via Magnitude Calibrationcited by 2
- 2025Task Vector Bases: A Unified and Scalable Framework for Compressed Task Arithmeticcited by 1
- 2025Exploring and Leveraging Class Vectors for Classifier Editingcited by 1
- 2024Hyper-Representations: Learning from Populations of Neural Networkscited by 0
- 2024R-MTLLMF: Resilient Multi-Task Large Language Model Fusion at the Wireless Edgecited by 0
- 2025ReqBrain: Task-Specific Instruction Tuning of LLMs for AI-Assisted Requirements Generationcited by 0
- 2025Separation and Collaboration: Two-Level Routing Grouped Mixture-of-Experts for Multi-Domain Continual Learningcited by 0
- 2026Task Arithmetic with Support Languages for Low-Resource ASRcited by 0
- 2026SAILS: Segment Anything with Incrementally Learned Semantics for Task-Invariant and Training-Free Continual Learningcited by 0
- 2026Remembering by Reconstructing: Domain Incremental Learning With Test-Time Training on Video Streamscited by 0
- 2026EVAF: A Test-Retest Protocol for Selective Parametric Consolidationcited by 0
- 2026EVAF: A Test-Retest Protocol for Selective Parametric Consolidation29 Jun 2026
- 2026Remembering by Reconstructing: Domain Incremental Learning With Test-Time Training on Video Streams29 May 2026
- 2026SAILS: Segment Anything with Incrementally Learned Semantics for Task-Invariant and Training-Free Continual Learning16 Feb 2026
- 2026When Shared Knowledge Hurts: Spectral Over-Accumulation in Model Merging5 Feb 2026
- 2026Task Arithmetic with Support Languages for Low-Resource ASR11 Jan 2026
- 2025MAGIC: Achieving Superior Model Merging via Magnitude Calibration22 Dec 2025
- 2025A Systematic Study of In-the-Wild Model Merging for Large Language Models26 Nov 2025
- 2025Exploring and Leveraging Class Vectors for Classifier Editing13 Oct 2025
- 2025Toward a Holistic Approach to Continual Model Merging28 Sep 2025
- 2025Separation and Collaboration: Two-Level Routing Grouped Mixture-of-Experts for Multi-Domain Continual Learning11 Aug 2025
- 2025CLoRA: Parameter-Efficient Continual Learning with Low-Rank Adaptation26 Jul 2025
- 2025Continual Gradient Low-Rank Projection Fine-Tuning for LLMs3 Jul 2025
19 more
- 2025ReqBrain: Task-Specific Instruction Tuning of LLMs for AI-Assisted Requirements Generation23 May 2025
- 2025Parameter Efficient Continual Learning with Dynamic Low-Rank Adaptation17 May 2025
- 2025MINGLE: Mixture of Null-Space Gated Low-Rank Experts for Test-Time Continual Model Merging17 May 2025
- 2025Parameter-Efficient Continual Fine-Tuning: A Survey18 Apr 2025
- 2025When is Task Vector Provably Effective for Model Editing? A Generalization Analysis of Nonlinear Transformers15 Apr 2025
- 2025Task Vector Bases: A Unified and Scalable Framework for Compressed Task Arithmetic3 Feb 2025
- 2025SD-LoRA: Scalable Decoupled Low-Rank Adaptation for Class Incremental Learning22 Jan 2025
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Review31 Dec 2024
- 2024DESIRE: Dynamic Knowledge Consolidation for Rehearsal-Free Continual Learning28 Nov 2024
- 2024R-MTLLMF: Resilient Multi-Task Large Language Model Fusion at the Wireless Edge27 Nov 2024
- 2024Online-LoRA: Task-free Online Continual Learning via Low Rank Adaptation8 Nov 2024
- 2024Hyper-Representations: Learning from Populations of Neural Networks7 Oct 2024
- 2024Disentangling Latent Shifts of In-Context Learning with Weak Supervision2 Oct 2024
- 2024Model Merging in LLMs, MLLMs, and Beyond: Methods, Theories, Applications and Opportunities14 Aug 2024
- 2024A Survey on LoRA of Large Language Models8 Jul 2024
- 2024An Empirical Analysis of Forgetting in Pre-trained Models with Incremental Low-Rank Updates28 May 2024
- 2024Calibrating Bayesian Learning via Regularization, Confidence Minimization, and Selective Inference17 Apr 2024
- 2024DPPA: Pruning Method for Large Language Model to Model Merging5 Mar 2024
- 2024PILoRA: Prototype Guided Incremental LoRA for Federated Class-Incremental Learning4 Jan 2024
- 2024Model Merging in LLMs, MLLMs, and Beyond: Methods, Theories, Applications and Opportunitiescited by 247
- 2024A Survey on LoRA of Large Language Modelscited by 67
- 2025SD-LoRA: Scalable Decoupled Low-Rank Adaptation for Class Incremental Learningcited by 60
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2024Online-LoRA: Task-free Online Continual Learning via Low Rank Adaptationcited by 26
- 2024PILoRA: Prototype Guided Incremental LoRA for Federated Class-Incremental Learningcited by 19
- 2025MINGLE: Mixture of Null-Space Gated Low-Rank Experts for Test-Time Continual Model Mergingcited by 14
- 2025Parameter-Efficient Continual Fine-Tuning: A Surveycited by 11
- 2025Continual Gradient Low-Rank Projection Fine-Tuning for LLMscited by 10
- 2024DPPA: Pruning Method for Large Language Model to Model Mergingcited by 7
- 2024Calibrating Bayesian Learning via Regularization, Confidence Minimization, and Selective Inferencecited by 6
- 2024An Empirical Analysis of Forgetting in Pre-trained Models with Incremental Low-Rank Updatescited by 6
12 most cited of 29 All 29 (JSON)
- 2026EVAF: A Test-Retest Protocol for Selective Parametric Consolidation29 Jun 2026
- 2026Remembering by Reconstructing: Domain Incremental Learning With Test-Time Training on Video Streams29 May 2026
- 2026SAILS: Segment Anything with Incrementally Learned Semantics for Task-Invariant and Training-Free Continual Learning16 Feb 2026
- 2026When Shared Knowledge Hurts: Spectral Over-Accumulation in Model Merging5 Feb 2026
- 2026Task Arithmetic with Support Languages for Low-Resource ASR11 Jan 2026
- 2025MAGIC: Achieving Superior Model Merging via Magnitude Calibration22 Dec 2025
- 2025A Systematic Study of In-the-Wild Model Merging for Large Language Models26 Nov 2025
- 2025Exploring and Leveraging Class Vectors for Classifier Editing13 Oct 2025
- 2025Toward a Holistic Approach to Continual Model Merging28 Sep 2025
- 2025CLoRA: Parameter-Efficient Continual Learning with Low-Rank Adaptation26 Jul 2025
- 2025Continual Gradient Low-Rank Projection Fine-Tuning for LLMs3 Jul 2025
- 2025ReqBrain: Task-Specific Instruction Tuning of LLMs for AI-Assisted Requirements Generation23 May 2025
12 newest of 29 All 29 (JSON)