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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

How cost-effectively can strong reasoning abilities be achieved in language models? Driven by this fundamental question, we present Tina, a family of tiny reasoning models achieved with high cost-efficiency. Notably, Tina demonstrates that…

Computation and Language · Computer Science 2025-06-13 Shangshang Wang , Julian Asilis , Ömer Faruk Akgül , Enes Burak Bilgin , Ollie Liu , Willie Neiswanger

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

Large language models (LLMs) with chain-of-thought reasoning achieve state-of-the-art performance across complex problem-solving tasks, but their verbose reasoning traces and large context requirements make them impractical for edge…

Large reasoning models (LRMs) improve problem solving through extended reasoning, but often misallocate test-time compute. Existing efficiency methods reduce cost by compressing reasoning traces or conditioning budget on perceived…

Artificial Intelligence · Computer Science 2026-05-13 Zhaomeng Zhou , Lan Zhang , Junyang Wang , Mu Yuan , Junda Lin

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

Post-training has become essential for adapting large language models (LLMs) to complex downstream behaviors, including instruction following, preference alignment, and multi-step reasoning. Reinforcement learning with verifiable rewards…

Machine Learning · Computer Science 2026-05-20 Chengqian Zhang , Wei Zhu , Kyumin Lee

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a key method for improving Large Language Models' reasoning capabilities, yet recent evidence suggests it may paradoxically shrink the reasoning boundary rather than…

Artificial Intelligence · Computer Science 2025-10-03 Phuc Minh Nguyen , Chinh D. La , Duy M. H. Nguyen , Nitesh V. Chawla , Binh T. Nguyen , Khoa D. Doan

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

Large language models (LLMs) excel at language understanding and generation, but their enormous computational and memory requirements hinder deployment. Compression offers a potential solution to mitigate these constraints. However, most…

Machine Learning · Computer Science 2026-05-19 Huanrong Liu , Chunlin Tian , Xuyang Wei , Qingbiao Li , Li Li

Reinforcement Learning with Verifiable Rewards (RLVR) is an essential paradigm that enhances the reasoning capabilities of Large Language Models (LLMs). However, existing methods typically rely on static policy optimization schemes that…

Computation and Language · Computer Science 2026-05-08 Yiming Huang , Zhenbo Shi , Shuzheng Gao , Cuiyun Gao , Peiyi Han , Chuanyi Liu

We study the process through which reasoning models trained with reinforcement learning on verifiable rewards (RLVR) can learn to solve new problems. We find that RLVR drives performance in two main ways: (1) by compressing pass@$k$ into…

Machine Learning · Computer Science 2025-06-23 Vaskar Nath , Elaine Lau , Anisha Gunjal , Manasi Sharma , Nikhil Baharte , Sean Hendryx

Large reasoning models (LRMs) achieve remarkable performance via long reasoning chains, but often incur excessive computational overhead due to redundant reasoning, especially on simple tasks. In this work, we systematically quantify the…

Artificial Intelligence · Computer Science 2025-05-26 Xiaoyun Zhang , Jingqing Ruan , Xing Ma , Yawen Zhu , Haodong Zhao , Hao Li , Jiansong Chen , Ke Zeng , Xunliang Cai

The use of low-rank adaptation (LoRA) with frozen pretrained language models (PLMs) has become increasing popular as a mainstream, resource-efficient modeling approach for memory-constrained hardware. In this study, we first explore how to…

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

While Large Language Models (LLMs) achieve high performance on standard mathematical benchmarks, their problem-solving abilities depend on the context and textual formatting. We introduce the Robust Reasoning Benchmark (RRB), a pipeline of…

Machine Learning · Computer Science 2026-05-22 Pavel Golikov , Evgenii Opryshko , Gennady Pekhimenko , Mark C. Jeffrey

Reasoning Large Language Models (LLMs) enable test-time scaling, with dataset-level accuracy improving as the token budget increases, motivating adaptive reasoning -- spending tokens when they improve reliability and stopping early when…

Artificial Intelligence · Computer Science 2026-05-15 Xi Wang , Anushri Suresh , Alvin Zhang , Rishi More , William Jurayj , Benjamin Van Durme , Mehrdad Farajtabar , Daniel Khashabi , Eric Nalisnick

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

Reinforcement learning (RL) is a dominant paradigm for improving the reasoning abilities of large language models, yet its effectiveness varies across tasks and compute budgets. We propose a \emph{relative-budget} theory explaining this…

Machine Learning · Computer Science 2026-02-03 Akifumi Wachi , Hirota Kinoshita , Shokichi Takakura , Rei Higuchi , Taiji Suzuki

Large reasoning models (LRMs) have achieved remarkable progress on complex tasks by generating extended chains of thought (CoT). However, their uncontrolled output lengths pose significant challenges for real-world deployment, where…

Machine Learning · Computer Science 2025-05-22 Yuhui Xu , Hanze Dong , Lei Wang , Doyen Sahoo , Junnan Li , Caiming Xiong
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