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Low-Rank Adaptation (LoRA) has become a widely used method for parameter-efficient fine-tuning of large-scale, pre-trained neural networks. However, LoRA and its extensions face several challenges, including the need for rank adaptivity,…

Machine Learning · Computer Science 2024-10-25 Steffen Schotthöfer , Emanuele Zangrando , Gianluca Ceruti , Francesco Tudisco , Jonas Kusch

Machine unlearning has been used to remove unwanted knowledge acquired by large language models (LLMs). In this paper, we examine machine unlearning from an optimization perspective, framing it as a regularized multi-task optimization…

Machine Learning · Computer Science 2025-05-07 Zhiqi Bu , Xiaomeng Jin , Bhanukiran Vinzamuri , Anil Ramakrishna , Kai-Wei Chang , Volkan Cevher , Mingyi Hong

Pre-training large language models is dominated by the memory cost of storing full-rank weights, gradients, and optimizer states. Low-rank pre-training has emerged to address this, and the space of methods has grown rapidly. A central…

Machine Learning · Computer Science 2026-05-20 Namrata Shivagunde , Vijeta Deshpande , Sherin Muckatira , Anna Rumshisky

Learning a Gaussian Mixture Model (GMM) is hard when the number of parameters is too large given the amount of available data. As a remedy, we propose restricting the GMM to a Gaussian Markov Random Field Mixture Model (GMRF-MM), as well as…

Machine Learning · Computer Science 2022-01-25 Shahaf E. Finder , Eran Treister , Oren Freifeld

Machine unlearning for large language models (LLMs) aims to remove targeted knowledge while preserving general capability. In this paper, we recast LLM unlearning as an asymmetric two-task problem: retention is the primary objective and…

Computation and Language · Computer Science 2026-04-17 Zeguan Xiao , Siqing Li , Yong Wang , Xuetao Wei , Jian Yang , Yun Chen , Guanhua Chen

Low-Rank Adaptation (LoRA) and its variants have shown impressive results in reducing the number of trainable parameters and memory requirements of large transformer networks while maintaining fine-tuning performance. The low-rank nature of…

Computation and Language · Computer Science 2025-03-13 Paul Albert , Frederic Z. Zhang , Hemanth Saratchandran , Cristian Rodriguez-Opazo , Anton van den Hengel , Ehsan Abbasnejad

Fine-tuning large language models (LLMs) has achieved remarkable success across various NLP tasks, but the substantial memory overhead during backpropagation remains a critical bottleneck, especially as model scales grow. Zeroth-order (ZO)…

Computation and Language · Computer Science 2026-01-09 Feihu Jin , Shipeng Cen , Ying Tan

Low-rank adaptation is a popular parameter-efficient fine-tuning method for large language models. In this paper, we analyze the impact of low-rank updating, as implemented in LoRA. Our findings suggest that the low-rank updating mechanism…

Computation and Language · Computer Science 2024-05-21 Ting Jiang , Shaohan Huang , Shengyue Luo , Zihan Zhang , Haizhen Huang , Furu Wei , Weiwei Deng , Feng Sun , Qi Zhang , Deqing Wang , Fuzhen Zhuang

Large Language Models (LLMs) have introduced new capabilities to recommender systems, enabling dynamic, context-aware, and conversational recommendations. However, LLM-based recommender systems inherit and may amplify social biases embedded…

Machine Learning · Computer Science 2026-03-26 Nan Cui , Wendy Hui Wang , Yue Ning

Fine-tuning large language models (LLMs) aims to adapt pre-trained models to specific tasks using relatively small and domain-specific datasets. Among Parameter-Efficient Fine-Tuning (PEFT) methods, Low-Rank Adaptation (LoRA) stands out by…

Computation and Language · Computer Science 2026-04-16 Yarui Cao , Kai Liu

Multi-Objective Reinforcement Learning (MORL) is a generalization of traditional Reinforcement Learning (RL) that aims to optimize multiple, often conflicting objectives simultaneously rather than focusing on a single reward. This approach…

Machine Learning · Computer Science 2025-08-15 Davide Guidobene , Lorenzo Benedetti , Diego Arapovic

Extensive compute and memory requirements limit the deployment of large language models (LLMs) on any hardware. Compression methods, such as pruning, can reduce model size, which in turn reduces resource requirements. State-of-the-art…

Machine Learning · Computer Science 2025-08-14 Bailey J. Eccles , Leon Wong , Blesson Varghese

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

Optimization and Control · Mathematics 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

We introduce LOREN, a curvature-aware zeroth-order (ZO) optimization method for fine-tuning large language models (LLMs). Existing ZO methods, which estimate gradients via finite differences using random perturbations, often suffer from…

Machine Learning · Computer Science 2025-11-12 Hyunseok Seung , Jaewoo Lee , Hyunsuk Ko

Automatic prompt optimization is an important approach to improving the performance of large language models (LLMs). Recent research demonstrates the potential of using LLMs as prompt optimizers, which can generate improved task prompts via…

Computation and Language · Computer Science 2025-01-28 Xinyu Tang , Xiaolei Wang , Wayne Xin Zhao , Siyuan Lu , Yaliang Li , Ji-Rong Wen

We introduce Post-Optimization Model Edit (POME), a new algorithm that enhances the performance of fine-tuned large language models using only their pretrained and fine-tuned checkpoints, without requiring extra data or further…

Machine Learning · Computer Science 2025-10-09 Yong Liu , Di Fu , Yang Luo , Zirui Zhu , Minhao Cheng , Cho-Jui Hsieh , Yang You

Knowledge distillation has emerged as a powerful technique for compressing large language models (LLMs) into efficient, deployable architectures while preserving their advanced capabilities. Recent advances in low-rank knowledge…

Machine Learning · Statistics 2026-03-25 Alberlucia Rafael Soarez , Daniel Kim , Mariana Costa , Alejandro Torre

Recent data-privacy laws have sparked interest in machine unlearning, which involves removing the effect of specific training samples from a learnt model as if they were never present in the original training dataset. The challenge of…

Machine Learning · Computer Science 2023-12-08 Tuan Hoang , Santu Rana , Sunil Gupta , Svetha Venkatesh

Matrix-structured parameters frequently appear in many artificial intelligence models such as large language models. More recently, an efficient Muon optimizer is designed for matrix parameters of large-scale models, and shows markedly…

Machine Learning · Computer Science 2026-05-20 Feihu Huang , Yuning Luo , Songcan Chen

Low-Rank Adaptation (LoRA) has become the leading Parameter-Efficient Fine-Tuning (PEFT) method for Large Language Models (LLMs), as it significantly reduces GPU memory usage while maintaining competitive fine-tuned model quality on…

Machine Learning · Computer Science 2025-10-02 Zhanda Zhu , Qidong Su , Yaoyao Ding , Kevin Song , Shang Wang , Gennady Pekhimenko
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