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Reasoning models leverage inference-time compute to significantly enhance the performance of language models on difficult logical tasks, and have become a dominating paradigm in frontier LLMs. Despite their wide adoption, the mechanisms…

Machine Learning · Computer Science 2025-11-11 Jake Ward , Paul Riechers , Adam Shai

Recent research has shown that language models can learn to \textit{reason}, often via reinforcement learning. Some work even trains low-rank parameterizations for reasoning, but conventional LoRA cannot scale below the model dimension. We…

Machine Learning · Computer Science 2026-02-05 John X. Morris , Niloofar Mireshghallah , Mark Ibrahim , Saeed Mahloujifar

Scaling model size and training data has led to great advances in the performance of Large Language Models (LLMs). However, the diminishing returns of this approach necessitate alternative methods to improve model capabilities, particularly…

Machine Learning · Computer Science 2025-11-05 Daman Arora , Andrea Zanette

Fine-tuning helps large language models (LLM) recover degraded information and enhance task performance. Although Low-Rank Adaptation (LoRA) is widely used and effective for fine-tuning, we have observed that its scaling factor can limit or…

Machine Learning · Computer Science 2025-01-14 Jun Liu , Zhenglun Kong , Peiyan Dong , Changdi Yang , Xuan Shen , Pu Zhao , Hao Tang , Geng Yuan , Wei Niu , Wenbin Zhang , Xue Lin , Dong Huang , Yanzhi Wang

Fine-tuning adapts a pre-trained model to downstream tasks using a small amount of labeled data. Low-Rank Adaptation (LoRA) is an efficient fine-tuning method that reduces memory and computation costs while often achieving performance close…

Machine Learning · Computer Science 2026-05-20 Ali Zindari , Rotem Mulayoff , Sebastian U. Stich

Enhancing the reasoning capabilities of large language models (LLMs) typically relies on massive computational resources and extensive datasets, limiting accessibility for resource-constrained settings. Our study investigates the potential…

Machine Learning · Computer Science 2026-01-21 Quy-Anh Dang , Chris Ngo

Low-rank Adaptation (LoRA) has gained popularity as a fine-tuning approach for Large Language Models (LLMs) due to its low resource requirements and good performance. While a plethora of work has investigated improving LoRA serving…

Machine Learning · Computer Science 2025-08-06 Minghao Yan , Zhuang Wang , Zhen Jia , Shivaram Venkataraman , Yida Wang

Low-Rank Adaptation (LoRA) has become a widely adopted parameter-efficient fine-tuning method for large language models, with its effectiveness largely influenced by the allocation of ranks and scaling factors, as well as initialization.…

Computation and Language · Computer Science 2026-04-21 Weicheng Lin , Yi Zhang , Jiawei Dang , Liang-Jie Zhang

How cost-effectively can we elicit strong reasoning in language models by leveraging their underlying representations? We answer this question with Resa, a family of 1.5B reasoning models trained via a novel and efficient sparse autoencoder…

Computation and Language · Computer Science 2025-06-17 Shangshang Wang , Julian Asilis , Ömer Faruk Akgül , Enes Burak Bilgin , Ollie Liu , Deqing Fu , Willie Neiswanger

Fine-tuning large language models (LLMs) with high parameter efficiency for downstream tasks has become a new paradigm. Low-Rank Adaptation (LoRA) significantly reduces the number of trainable parameters for fine-tuning. Although it has…

Computation and Language · Computer Science 2024-08-14 Jia-Chen Zhang , Yu-Jie Xiong , He-Xi Qiu , Dong-Hai Zhu , Chun-Ming Xia

Recent advances in mathematical reasoning typically rely on massive scale, yet the question remains: can strong reasoning capabilities be induced in small language models ($\leq1.5\text{B}$) under extreme constraints? We investigate this by…

Machine Learning · Computer Science 2026-01-13 Zohaib Khan , Omer Tafveez , Zoha Hayat Bhatti

Low-Rank Adaptation (LoRA) is one of the most widely used techniques for fine-tuning large language models (LLMs). By introducing a small number of trainable low-rank weight matrices, LoRA substantially reduces the number of parameters that…

Machine Learning · Computer Science 2025-07-15 Seokmin Ko

Low-Rank Adaptation (LoRA) is a widely-used parameter-efficient finetuning method for large language models. LoRA saves memory by training only low rank perturbations to selected weight matrices. In this work, we compare the performance of…

LoRA is a technique that reduces the number of trainable parameters in a neural network by introducing low-rank adapters to linear layers. This technique is used both for fine-tuning and full training of large language models. This paper…

Machine Learning · Computer Science 2024-06-17 Daria Cherniuk , Aleksandr Mikhalev , Ivan Oseledets

Fine-tuning is the primary methodology for tailoring pre-trained large language models to specific tasks. As the model's scale and the diversity of tasks expand, parameter-efficient fine-tuning methods are of paramount importance. One of…

Machine Learning · Computer Science 2024-01-10 Wenhan Xia , Chengwei Qin , Elad Hazan

Reasoning abilities, especially those for solving complex math problems, are crucial components of general intelligence. Recent advances by proprietary companies, such as o-series models of OpenAI, have made remarkable progress on reasoning…

Reinforcement learning (RL) has emerged as a promising strategy for finetuning small language models (SLMs) to solve targeted tasks such as math and coding. However, RL algorithms tend to be resource-intensive, taking a significant amount…

Machine Learning · Computer Science 2025-10-07 Lianghuan Huang , Sagnik Anupam , Insup Lee , Shuo Li , Osbert Bastani

Large Language Models (LLMs) have significantly advanced natural language processing with exceptional task generalization capabilities. Low-Rank Adaption (LoRA) offers a cost-effective fine-tuning solution, freezing the original model…

Machine Learning · Computer Science 2025-03-18 Jun Zhang , Jue Wang , Huan Li , Lidan Shou , Ke Chen , Yang You , Guiming Xie , Xuejian Gong , Kunlong Zhou

Recent advances in fine-tuning large language models (LLMs) with reinforcement learning (RL) have shown promising improvements in complex reasoning tasks, particularly when paired with chain-of-thought (CoT) prompting. However, these…

Machine Learning · Computer Science 2025-04-04 Hung Le , Dai Do , Dung Nguyen , Svetha Venkatesh

Parameter-efficient fine-tuning methods like Low-Rank Adaptation (LoRA) have become essential for deploying large language models, yet their static parameter allocation remains suboptimal for inputs of varying complexity. We present…

Machine Learning · Computer Science 2026-05-05 Zongqian Li , Yixuan Su , Han Zhou , Zihao Fu , Nigel Collier
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