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A standard technique for scaling inference-time reasoning is Self-Consistency, whereby multiple candidate answers are sampled from an LLM and the most common answer is selected. More recently, it has been shown that weighted majority voting…

Artificial Intelligence · Computer Science 2026-05-11 James Petullo , Sonny George , Dylan Cashman , Nianwen Xue

Large Reasoning Models (LRMs) achieve strong performance on mathematical reasoning tasks but remain unreliable on challenging instances. Existing test-time scaling methods, such as repeated sampling, self-correction, and tree search,…

Artificial Intelligence · Computer Science 2026-04-30 Zhimin Lin , Yixin Ji , Jinpeng Li , Yu Luo , Dong Li , Junhua Fang , Juntao Li , Min Zhang

Chain-of-thought reasoning is often treated as a monotone way to improve language-model accuracy by letting a model think longer. We identify a countervailing effect, the coupling tax: when reasoning traces and final answers share one…

Machine Learning · Computer Science 2026-05-11 Wenhua Nie , Junlin Liu , Jianan Wu , Zijie Meng , Yilong Fan , Zhang Zijian , Haoran Zheng , Jyh-Shing Roger Jang

Large language models (LLMs) have demonstrated impressive performance in various natural language processing tasks, yet their ability to perform multi-step logical reasoning remains an open challenge. Although Chain-of-Thought prompting has…

We introduce ThinkTwice, a simple two-phase framework that jointly optimizes LLMs to solve reasoning problems and refine the answers, based on Group Relative Policy Optimization (GRPO). In each pair of training steps, ThinkTwice first…

Artificial Intelligence · Computer Science 2026-04-08 Difan Jiao , Qianfeng Wen , Blair Yang , Zhenwei Tang , Ashton Anderson

Large reasoning models (LRMs) have shown significant progress in test-time scaling through chain-of-thought prompting. Current approaches like search-o1 integrate retrieval augmented generation (RAG) into multi-step reasoning processes but…

Computation and Language · Computer Science 2026-01-21 Kaiwen Wei , Rui Shan , Dongsheng Zou , Jianzhong Yang , Bi Zhao , Junnan Zhu , Jiang Zhong

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

Using logical clauses to represent patterns, Tsetlin Machines (TMs) have recently obtained competitive performance in terms of accuracy, memory footprint, energy, and learning speed on several benchmarks. Each TM clause votes for or against…

Artificial Intelligence · Computer Science 2021-06-10 K. Darshana Abeyrathna , Bimal Bhattarai , Morten Goodwin , Saeed Gorji , Ole-Christoffer Granmo , Lei Jiao , Rupsa Saha , Rohan K. Yadav

Reasoning-enhanced large language models (LLMs) explicitly generate intermediate reasoning steps prior to generating final answers, helping the model excel in complex problem-solving. In this paper, we demonstrate that this emerging…

Machine Learning · Computer Science 2025-05-22 Tong Wu , Chong Xiang , Jiachen T. Wang , G. Edward Suh , Prateek Mittal

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Compressing long chain-of-thought (CoT) from large language models (LLMs) is an emerging strategy to improve the reasoning efficiency of LLMs. Despite its promising benefits, existing studies equally compress all thoughts within a long CoT,…

Computation and Language · Computer Science 2025-05-27 Yansong Ning , Wei Li , Jun Fang , Naiqiang Tan , Hao Liu

Recent advancements in Large Language Models (LLMs) have revealed a significant performance gap between closed-source and open-source models, particularly in tasks requiring complex reasoning and precise instruction following. This paper…

Artificial Intelligence · Computer Science 2025-07-01 Ziqi Zhong , Xunzhu Tang

Large language models (LLMs) struggle with complex, long-horizon reasoning due to instability caused by their frozen policy assumption. Current test-time scaling methods treat execution feedback merely as an external signal for filtering or…

Artificial Intelligence · Computer Science 2026-01-29 Zhengbo Jiao , Hongyu Xian , Qinglong Wang , Yunpu Ma , Zhebo Wang , Zifan Zhang , Dezhang Kong , Meng Han

Recently, Large Reasoning Models (LRMs) have gradually become a research hotspot due to their outstanding performance in handling complex tasks. Among them, DeepSeek R1 has garnered significant attention for its exceptional performance and…

Artificial Intelligence · Computer Science 2025-08-05 Linan Yue , Yichao Du , Yizhi Wang , Weibo Gao , Fangzhou Yao , Li Wang , Ye Liu , Ziyu Xu , Qi Liu , Shimin Di , Min-Ling Zhang

Existing LLM test-time scaling laws emphasize the emergence of self-reflective behaviors through extended reasoning length. Nevertheless, this vertical scaling strategy often encounters plateaus in exploration as the model becomes locked…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Haoran Xu , Hongyu Wang , Jiaze Li , Shunpeng Chen , Zizhao Tong , Jianzhong Ju , Zhenbo Luo , Jian Luan

Large language models (LLMs) now give reasoning before answering, excelling in tasks like multiple-choice question answering (MCQA). Yet, a concern is that LLMs do not solve MCQs as intended, as work finds LLMs sans reasoning succeed in…

Computation and Language · Computer Science 2026-04-21 Nishant Balepur , Atrey Desai , Rachel Rudinger

Large language models often solve complex reasoning tasks more effectively with Chain-of-Thought (CoT), but at the cost of long, low-bandwidth token sequences. Humans, by contrast, often reason softly by maintaining a distribution over…

Computation and Language · Computer Science 2026-01-14 Yao Tang , Li Dong , Yaru Hao , Qingxiu Dong , Furu Wei , Jiatao Gu

Chain-of-thought (CoT) reasoning with self-consistency improves performance by aggregating multiple sampled reasoning paths. In this setting, correctness is no longer tied to a single reasoning trace but to the aggregation rule over a pool…

Machine Learning · Statistics 2026-05-15 Yu Gu , Zijun Yu , Vahid Partovi Nia , Masoud Asgharian

Most efforts to improve the reasoning capabilities of large language models (LLMs) involve either scaling the number of parameters and the size of training data, or scaling inference computation by letting models generate complex chains of…

Machine Learning · Computer Science 2025-10-10 Yeskendir Koishekenov , Aldo Lipani , Nicola Cancedda