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While pre-trained language models achieve impressive performance on various NLP benchmarks, they still struggle with tasks that require numerical reasoning. Recent advances in improving numerical reasoning are mostly achieved using very…

Computation and Language · Computer Science 2023-05-30 Jasivan Alex Sivakumar , Nafise Sadat Moosavi

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

The rise of Large Language Models (LLMs) has driven progress in reasoning tasks -- from program synthesis to scientific hypothesis generation -- yet their ability to handle ranked preferences and structured algorithms in combinatorial…

Artificial Intelligence · Computer Science 2025-12-09 Hadi Hosseini , Samarth Khanna , Ronak Singh

Reasoning language models can solve increasingly complex tasks, but struggle to produce the calibrated confidence estimates necessary for reliable deployment. Existing calibration methods usually depend on labels or repeated sampling at…

Machine Learning · Computer Science 2026-04-22 Thomas Zollo , Jimmy Wang , Richard Zemel

Practitioners often navigate LLM performance trade-offs by plotting Pareto frontiers of optimal accuracy-cost trade-offs. However, this approach offers no way to compare between LLMs with distinct strengths and weaknesses: for example, a…

Artificial Intelligence · Computer Science 2025-07-08 Michael J. Zellinger , Matt Thomson

To reduce the need for human annotations, large language models (LLMs) have been proposed as judges of the quality of other candidate models. The performance of LLM judges is typically evaluated by measuring the correlation with human…

Computation and Language · Computer Science 2025-05-14 Andreas Stephan , Dawei Zhu , Matthias Aßenmacher , Xiaoyu Shen , Benjamin Roth

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

Large Language Models (LLMs) have achieved great improvements in recent years. Nevertheless, it still remains unclear how good LLMs are for reasoning tasks, especially for long-chain ones. In this paper, we evaluate LLMs' performance on the…

Artificial Intelligence · Computer Science 2026-05-11 Chun Zheng , Lianlong Wu , Bingqian Li , Lvting Liu , Yi Zhou

Multi-round incomplete information tasks are crucial for evaluating the lateral thinking capabilities of large language models (LLMs). Currently, research primarily relies on multiple benchmarks and automated evaluation metrics to assess…

Computation and Language · Computer Science 2025-06-02 Wenhan Dong , Tianyi Hu , Jingyi Zheng , Zhen Sun , Yuemeng Zhao , Yule Liu , Xinlei He , Xinyi Huang

Recent studies have raised significant concerns regarding the reliability of current mathematics benchmarks, highlighting issues such as simplistic design and potential data contamination. Consequently, developing a reliable benchmark that…

Computation and Language · Computer Science 2025-08-14 Zijin Hong , Hao Wu , Su Dong , Junnan Dong , Yilin Xiao , Yujing Zhang , Zhu Wang , Feiran Huang , Linyi Li , Hongxia Yang , Xiao Huang

This paper explores generalised probabilistic modelling and uncertainty estimation in comparative LLM-as-a-judge frameworks. We show that existing Product-of-Experts methods are specific cases of a broader framework, enabling diverse…

Artificial Intelligence · Computer Science 2025-05-22 Yassir Fathullah , Mark J. F. Gales

Large Language Models (LLMs) are increasingly deployed in critical applications requiring reliable reasoning, yet their internal reasoning processes remain difficult to evaluate systematically. Existing methods focus on final-answer…

Machine Learning · Computer Science 2026-02-03 Shaima Ahmad Freja , Ferhat Ozgur Catak , Betul Yurdem , Chunming Rong

With the continuous evolution and refinement of LLMs, they are endowed with impressive logical reasoning or vertical thinking capabilities. But can they think out of the box? Do they possess proficient lateral thinking abilities? Following…

Computation and Language · Computer Science 2024-03-19 Shulin Huang , Shirong Ma , Yinghui Li , Mengzuo Huang , Wuhe Zou , Weidong Zhang , Hai-Tao Zheng

Reasoning failures in large language models (LLMs) are typically measured only at the end of a generation, yet many failures manifest as a process-level breakdown: the model "loses the thread" mid-reasoning. We study whether such breakdowns…

Artificial Intelligence · Computer Science 2026-02-04 Jinkun Chen , Fengxiang Cheng , Sijia Han , Vlado Keselj

Reinforcement Learning with Verifiable Rewards (RLVR) elicits long chain-of-thought reasoning in large language models (LLMs), but outcome-based rewards lead to coarse-grained advantage estimation. While existing approaches improve RLVR via…

Computation and Language · Computer Science 2026-01-08 Fei Wu , Zhenrong Zhang , Qikai Chang , Jianshu Zhang , Quan Liu , Jun Du

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

Reasoning has emerged as the next major frontier for language models (LMs), with rapid advances from both academic and industrial labs. However, this progress often outpaces methodological rigor, with many evaluations relying on…

Machine Learning · Computer Science 2025-10-08 Andreas Hochlehnert , Hardik Bhatnagar , Vishaal Udandarao , Samuel Albanie , Ameya Prabhu , Matthias Bethge

Large Language Model (LLM) inference systems present significant challenges in statistical performance characterization due to dynamic workload variations, diverse hardware architectures, and complex interactions between model size, batch…

Performance · Computer Science 2025-05-15 Kaustabha Ray , Nelson Mimura Gonzalez , Bruno Wassermann , Rachel Tzoref-Brill , Dean H. Lorenz

Large Language Models (LLMs) are increasingly excelling and outpacing human performance on many tasks. However, to improve LLM reasoning, researchers either rely on ad-hoc generated datasets or formal mathematical proof systems such as the…

Artificial Intelligence · Computer Science 2025-11-03 Nikolaus Holzer , William Fishell , Baishakhi Ray , Mark Santolucito