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相关论文: Training Verifiers to Solve Math Word Problems

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Mathematical capabilities were previously believed to emerge in common language models only at a very large scale or require extensive math-related pre-training. This paper shows that the LLaMA-2 7B model with common pre-training already…

计算与语言 · 计算机科学 2024-03-08 Chen Li , Weiqi Wang , Jingcheng Hu , Yixuan Wei , Nanning Zheng , Han Hu , Zheng Zhang , Houwen Peng

Large Language Models (LLMs) have demonstrated exceptional capabilities in various natural language tasks, often achieving performances that surpass those of humans. Despite these advancements, the domain of mathematics presents a…

计算与语言 · 计算机科学 2024-04-02 Ankit Satpute , Noah Giessing , Andre Greiner-Petter , Moritz Schubotz , Olaf Teschke , Akiko Aizawa , Bela Gipp

While large language models have made significant progress in mathematical reasoning, they remain unreliable at judging the correctness of their own solutions. Existing approaches that equip models with self-verification typically treat…

计算与语言 · 计算机科学 2026-05-28 Haihui Pan , Junwei Bao , Hongfei Jiang , Yang Song

As of September 2023, ChatGPT correctly answers "what is 7+8" with 15, but when asked "7+8=15, True or False" it responds with "False". This inconsistency between generating and validating an answer is prevalent in language models (LMs) and…

计算与语言 · 计算机科学 2023-10-04 Xiang Lisa Li , Vaishnavi Shrivastava , Siyan Li , Tatsunori Hashimoto , Percy Liang

Process supervision, using a trained verifier to evaluate the intermediate steps generated by a reasoner, has demonstrated significant improvements in multi-step problem solving. In this paper, to avoid the expensive effort of human…

人工智能 · 计算机科学 2024-10-16 Zihan Wang , Yunxuan Li , Yuexin Wu , Liangchen Luo , Le Hou , Hongkun Yu , Jingbo Shang

As large language models achieve impressive scores on traditional benchmarks, an increasing number of researchers are becoming concerned about benchmark data leakage during pre-training, commonly known as the data contamination problem. To…

计算与语言 · 计算机科学 2024-06-27 Kun Qian , Shunji Wan , Claudia Tang , Youzhi Wang , Xuanming Zhang , Maximillian Chen , Zhou Yu

Recent work shows superior performance when using large language models (LLMs) as formalizers instead of as end-to-end solvers for symbolic reasoning problems. Given the problem description, the LLM generates a formal program that derives a…

计算与语言 · 计算机科学 2026-04-01 Rikhil Amonkar , Ceyhun Efe Kayan , Qimei Lai , Ronan Le Bras , Li Zhang

Transformer-based large language models have achieved remarkable performance across various natural language processing tasks. However, they often struggle with seemingly easy tasks like arithmetic despite their vast capabilities. This…

计算与语言 · 计算机科学 2024-07-23 Luyu Qiu , Jianing Li , Chi Su , Chen Jason Zhang , Lei Chen

Large Language Models (LLM) are increasingly trained on data generated by other LLM, either because generated text and images become part of the pre-training corpus, or because synthetized data is used as a replacement for expensive…

机器学习 · 计算机科学 2024-10-28 Yunzhen Feng , Elvis Dohmatob , Pu Yang , Francois Charton , Julia Kempe

Large language models (LLM), such as Google's Minerva and OpenAI's GPT families, are becoming increasingly capable of solving mathematical quantitative reasoning problems. However, they still make unjustified logical and computational…

人工智能 · 计算机科学 2024-03-28 Jin Peng Zhou , Charles Staats , Wenda Li , Christian Szegedy , Kilian Q. Weinberger , Yuhuai Wu

Researchers have made notable progress in applying Large Language Models (LLMs) to solve math problems, as demonstrated through efforts like GSM8k, ProofNet, AlphaGeometry, and MathOdyssey. This progress has sparked interest in their…

人机交互 · 计算机科学 2025-03-24 Adit Gupta , Jennifer Reddig , Tommaso Calo , Daniel Weitekamp , Christopher J. MacLellan

Despite the recent ubiquity of large language models and their high zero-shot prompted performance across a wide range of tasks, it is still not known how well they perform on tasks which require processing of potentially idiomatic…

计算与语言 · 计算机科学 2024-05-16 Dylan Phelps , Thomas Pickard , Maggie Mi , Edward Gow-Smith , Aline Villavicencio

While large models pre-trained on high-quality data exhibit excellent performance on mathematical reasoning (e.g., GSM8k, MultiArith), it remains challenging to specialize smaller models for these tasks. Common approaches to address this…

计算与语言 · 计算机科学 2026-03-19 Neeraj Gangwar , Suma P Bhat , Nickvash Kani

Advanced test-time computing strategies are essential for scaling reasoning models, but their effectiveness is capped by the models' poor self-evaluation. We propose a pairwise Explanatory Verifier, trained via reinforcement learning…

人工智能 · 计算机科学 2025-09-25 Anisha Garg , Engin Tekin , Yash More , David Bick , Nishit Neema , Ganesh Venkatesh

Recent language models can successfully solve various language-related tasks, and many understand inputs stated in different languages. In this paper, we explore the performance of 17 popular models used to correct grammatical issues in…

计算与语言 · 计算机科学 2025-05-12 Dawid Wisniewski , Antoni Solarski , Artur Nowakowski

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

人工智能 · 计算机科学 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

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…

人工智能 · 计算机科学 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Solutions to math word problems (MWPs) with step-by-step explanations are valuable, especially in education, to help students better comprehend problem-solving strategies. Most existing approaches only focus on obtaining the final correct…

计算与语言 · 计算机科学 2023-06-02 Mengxue Zhang , Zichao Wang , Zhichao Yang , Weiqi Feng , Andrew Lan

With the rapid development of large language models (LLMs), the quality of training data has become crucial. Among the various types of training data, mathematical data plays a key role in enabling LLMs to acquire strong reasoning…

计算与语言 · 计算机科学 2025-02-27 Hao Liang , Meiyi Qiang , Yuying Li , Zefeng He , Yongzhen Guo , Zhengzhou Zhu , Wentao Zhang , Bin Cui

Developing an educational test can be expensive and time-consuming, as each item must be written by experts and then evaluated by collecting hundreds of student responses. Moreover, many tests require multiple distinct sets of questions…

计算与语言 · 计算机科学 2023-10-11 Eric Zelikman , Wanjing Anya Ma , Jasmine E. Tran , Diyi Yang , Jason D. Yeatman , Nick Haber