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Recently, test-time scaling has garnered significant attention from the research community, largely due to the substantial advancements of the o1 model released by OpenAI. By allocating more computational resources during the inference…

Large Language Models (LLMs) consistently benefit from scaled Chain-of-Thought (CoT) reasoning, but also suffer from heavy computational overhead. To address this issue, efficient reasoning aims to incentivize short yet accurate thinking…

Computation and Language · Computer Science 2026-03-23 Taiqiang Wu , Zenan Xu , Bo Zhou , Ngai Wong

Despite rapid advancements in large language models (LLMs), the token-level autoregressive nature constrains their complex reasoning capabilities. To enhance LLM reasoning, inference-time techniques, including…

Artificial Intelligence · Computer Science 2026-01-28 Qianyue Hao , Sibo Li , Jian Yuan , Yong Li

Reward models (RMs) play a critical role in enhancing the reasoning performance of LLMs. For example, they can provide training signals to finetune LLMs during reinforcement learning (RL) and help select the best answer from multiple…

Computation and Language · Computer Science 2025-10-06 Qiyuan Liu , Hao Xu , Xuhong Chen , Wei Chen , Yee Whye Teh , Ning Miao

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Large reasoning models (LRMs) like OpenAI o1 and DeepSeek R1 have demonstrated impressive performance on complex reasoning tasks like mathematics and programming with long Chain-of-Thought (CoT) reasoning sequences (slow-thinking), compared…

Artificial Intelligence · Computer Science 2025-07-15 Jason Zhu , Hongyu Li

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

Reinforcement learning with verifiable rewards (RLVR) has been shown to enhance the reasoning capabilities of large language models (LLMs), enabling the development of large reasoning models (LRMs). However, LRMs such as DeepSeek-R1 and…

Artificial Intelligence · Computer Science 2025-11-13 Yuhao Wang , Xiaopeng Li , Cheng Gong , Ziru Liu , Suiyun Zhang , Rui Liu , Xiangyu Zhao

A central goal of cognitive modeling is to develop models that not only predict human behavior but also provide insight into the underlying cognitive mechanisms. While neural network models trained on large-scale behavioral data often…

Artificial Intelligence · Computer Science 2026-02-03 Jian-Qiao Zhu , Hanbo Xie , Dilip Arumugam , Robert C. Wilson , Thomas L. Griffiths

The o1 model series is trained with large-scale reinforcement learning to reason using chain of thought. These advanced reasoning capabilities provide new avenues for improving the safety and robustness of our models. In particular, our…

Artificial Intelligence · Computer Science 2026-05-01 OpenAI , : , Aaron Jaech , Adam Kalai , Adam Lerer , Adam Richardson , Ahmed El-Kishky , Aiden Low , Alec Helyar , Aleksander Madry , Alex Beutel , Alex Carney , Alex Iftimie , Alex Karpenko , Alex Tachard Passos , Alexander Neitz , Alexander Prokofiev , Alexander Wei , Allison Tam , Ally Bennett , Ananya Kumar , Andre Saraiva , Andrea Vallone , Andrew Duberstein , Andrew Kondrich , Andrey Mishchenko , Andy Applebaum , Angela Jiang , Ashvin Nair , Barret Zoph , Behrooz Ghorbani , Bohan Zhang , Ben Rossen , Benjamin Sokolowsky , Boaz Barak , Bob McGrew , Borys Minaiev , Botao Hao , Bowen Baker , Brandon Houghton , Brandon McKinzie , Brydon Eastman , Camillo Lugaresi , Cary Bassin , Cary Hudson , Chak Ming Li , Charles de Bourcy , Chelsea Voss , Chen Shen , Chong Zhang , Chris Koch , Chris Orsinger , Christopher Hesse , Claudia Fischer , Clive Chan , Dan Roberts , Daniel Kappler , Daniel Levy , Daniel Selsam , David Dohan , David Farhi , David Mely , David Robinson , Dimitris Tsipras , Doug Li , Dragos Oprica , Eben Freeman , Eddie Zhang , Edmund Wong , Elizabeth Proehl , Enoch Cheung , Eric Mitchell , Eric Wallace , Erik Ritter , Evan Mays , Fan Wang , Felipe Petroski Such , Filippo Raso , Florencia Leoni , Foivos Tsimpourlas , Francis Song , Fred von Lohmann , Freddie Sulit , Geoff Salmon , Giambattista Parascandolo , Gildas Chabot , Grace Zhao , Greg Brockman , Guillaume Leclerc , Hadi Salman , Haiming Bao , Hao Sheng , Hart Andrin , Hessam Bagherinezhad , Hongyu Ren , Hunter Lightman , Hyung Won Chung , Ian Kivlichan , Ian O'Connell , Ian Osband , Ignasi Clavera Gilaberte , Ilge Akkaya , Ilya Kostrikov , Ilya Sutskever , Irina Kofman , Jakub Pachocki , James Lennon , Jason Wei , Jean Harb , Jerry Twore , Jiacheng Feng , Jiahui Yu , Jiayi Weng , Jie Tang , Jieqi Yu , Joaquin Quiñonero Candela , Joe Palermo , Joel Parish , Johannes Heidecke , John Hallman , John Rizzo , Jonathan Gordon , Jonathan Uesato , Jonathan Ward , Joost Huizinga , Julie Wang , Kai Chen , Kai Xiao , Karan Singhal , Karina Nguyen , Karl Cobbe , Katy Shi , Kayla Wood , Kendra Rimbach , Keren Gu-Lemberg , Kevin Liu , Kevin Lu , Kevin Stone , Kevin Yu , Lama Ahmad , Lauren Yang , Leo Liu , Leon Maksin , Leyton Ho , Liam Fedus , Lilian Weng , Linden Li , Lindsay McCallum , Lindsey Held , Lorenz Kuhn , Lukas Kondraciuk , Lukasz Kaiser , Luke Metz , Madelaine Boyd , Maja Trebacz , Manas Joglekar , Mark Chen , Marko Tintor , Mason Meyer , Matt Jones , Matt Kaufer , Max Schwarzer , Meghan Shah , Mehmet Yatbaz , Melody Y. Guan , Mengyuan Xu , Mengyuan Yan , Mia Glaese , Mianna Chen , Michael Lampe , Michael Malek , Michele Wang , Michelle Fradin , Mike McClay , Mikhail Pavlov , Miles Wang , Mingxuan Wang , Mira Murati , Mo Bavarian , Mostafa Rohaninejad , Nat McAleese , Neil Chowdhury , Neil Chowdhury , Nick Ryder , Nikolas Tezak , Noam Brown , Ofir Nachum , Oleg Boiko , Oleg Murk , Olivia Watkins , Patrick Chao , Paul Ashbourne , Pavel Izmailov , Peter Zhokhov , Rachel Dias , Rahul Arora , Randall Lin , Rapha Gontijo Lopes , Raz Gaon , Reah Miyara , Reimar Leike , Renny Hwang , Rhythm Garg , Robin Brown , Roshan James , Rui Shu , Ryan Cheu , Ryan Greene , Saachi Jain , Sam Altman , Sam Toizer , Sam Toyer , Samuel Miserendino , Sandhini Agarwal , Santiago Hernandez , Sasha Baker , Scott McKinney , Scottie Yan , Shengjia Zhao , Shengli Hu , Shibani Santurkar , Shraman Ray Chaudhuri , Shuyuan Zhang , Siyuan Fu , Spencer Papay , Steph Lin , Suchir Balaji , Suvansh Sanjeev , Szymon Sidor , Tal Broda , Aidan Clark , Tao Wang , Taylor Gordon , Ted Sanders , Tejal Patwardhan , Thibault Sottiaux , Thomas Degry , Thomas Dimson , Tianhao Zheng , Timur Garipov , Tom Stasi , Trapit Bansal , Trevor Creech , Troy Peterson , Tyna Eloundou , Valerie Qi , Vineet Kosaraju , Vinnie Monaco , Vitchyr Pong , Vlad Fomenko , Weiyi Zheng , Wenda Zhou , Wenting Zhan , Wes McCabe , Wojciech Zaremba , Yann Dubois , Yinghai Lu , Yining Chen , Young Cha , Yu Bai , Yuchen He , Yuchen Zhang , Yunyun Wang , Zheng Shao , Zhuohan Li

Large language models (LLMs) have shown impressive capabilities in handling complex tasks through long-chain reasoning. However, the extensive reasoning steps involved can significantly increase computational costs, posing challenges for…

Computation and Language · Computer Science 2025-05-28 Yunhao Wang , Yuhao Zhang , Tinghao Yu , Can Xu , Feng Zhang , Fengzong Lian

Much literature has shown that prompt-based learning is an efficient method to make use of the large pre-trained language model. Recent works also exhibit the possibility of steering a chatbot's output by plugging in an appropriate prompt.…

Computation and Language · Computer Science 2022-10-14 Hsuan Su , Pohan Chi , Shih-Cheng Huang , Chung Ho Lam , Saurav Sahay , Shang-Tse Chen , Hung-yi Lee

Reinforcement learning (RL) has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs). While RL has demonstrated substantial performance gains, it still faces key challenges, including low…

Machine Learning · Computer Science 2025-11-18 Yihang Yao , Guangtao Zeng , Raina Wu , Yang Zhang , Ding Zhao , Zhang-Wei Hong , Chuang Gan

Large reasoning models (LRMs) "think" by generating structured chain-of-thought (CoT) before producing a final answer, yet they still lack the ability to reason critically about safety alignment and are easily biased when a flawed premise…

The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart

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

We aim to improve the reasoning capabilities of language models via reinforcement learning (RL). Recent RL post-trained models like DeepSeek-R1 have demonstrated reasoning abilities on mathematical and coding tasks. However, prior studies…

Reinforcement learning and classical planning are typically seen as two distinct problems, with differing formulations necessitating different solutions. Yet, when humans are given a task, regardless of the way it is specified, they can…

Machine Learning · Computer Science 2026-02-10 Gabriel Stella

Although most of the automated theorem-proving approaches depend on formal proof systems, informal theorem proving can align better with large language models' (LLMs) strength in natural language processing. In this work, we identify a…

Artificial Intelligence · Computer Science 2026-04-20 Yunhe Li , Hao Shi , Bowen Deng , Wei Wang , Mengzhe Ruan , Hanxu Hou , Zhongxiang Dai , Siyang Gao , Chao Wang , Shuang Qiu , Linqi Song

Test-time scaling methods have seen a rapid increase in popularity for its computational efficiency and parameter-independent training to improve reasoning performance on Large Language Models. One such method is called budget forcing, a…

Artificial Intelligence · Computer Science 2025-10-27 Ravindra Aribowo Tarunokusumo , Rafael Fernandes Cunha
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