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Related papers: Language Models are Symbolic Learners in Arithmeti…

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Creating reinforcement learning (RL) agents that are capable of accepting and leveraging task-specific knowledge from humans has been long identified as a possible strategy for developing scalable approaches for solving long-horizon…

Artificial Intelligence · Computer Science 2022-06-22 Lin Guan , Sarath Sreedharan , Subbarao Kambhampati

Large Language Models (LLMs) have shown remarkable capabilities in various natural language processing tasks. However, LLMs may rely on dataset biases as shortcuts for prediction, which can significantly impair their robustness and…

Computation and Language · Computer Science 2024-10-18 Yu Yuan , Lili Zhao , Kai Zhang , Guangting Zheng , Qi Liu

How can pretrained language models (PLMs) learn factual knowledge from the training set? We investigate the two most important mechanisms: reasoning and memorization. Prior work has attempted to quantify the number of facts PLMs learn, but…

Computation and Language · Computer Science 2020-10-13 Nora Kassner , Benno Krojer , Hinrich Schütze

Through their transfer learning abilities, highly-parameterized large pre-trained language models have dominated the NLP landscape for a multitude of downstream language tasks. Though linguistically proficient, the inability of these models…

Computation and Language · Computer Science 2022-11-07 Mandar Sharma , Nikhil Muralidhar , Naren Ramakrishnan

Modern neural language models (LMs) are powerful tools for modeling human sentence production and comprehension, and their internal representations are remarkably well-aligned with representations of language in the human brain. But to…

Computation and Language · Computer Science 2024-03-27 Chengxu Zhuang , Evelina Fedorenko , Jacob Andreas

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

There is increasing interest in employing large language models (LLMs) as cognitive models. For such purposes, it is central to understand which properties of human cognition are well-modeled by LLMs, and which are not. In this work, we…

Large language models (LLMs) have exhibited impressive competence in various tasks, but their internal mechanisms on mathematical problems are still under-explored. In this paper, we study a fundamental question: how language models encode…

Computation and Language · Computer Science 2024-11-15 Fangwei Zhu , Damai Dai , Zhifang Sui

Large Language Models (LLMs) display striking surface fluency yet systematically fail at tasks requiring symbolic reasoning, arithmetic accuracy, and logical consistency. This paper offers a structural diagnosis of such failures, revealing…

Artificial Intelligence · Computer Science 2025-11-17 Zheng Zhang

Most language models (LMs) are trained and applied in an autoregressive left-to-right fashion, assuming that the next token only depends on the preceding ones. However, this assumption ignores the potential benefits of using the full…

Computation and Language · Computer Science 2023-03-14 Anh Nguyen , Nikos Karampatziakis , Weizhu Chen

Prior work has shown that large language models (LLMs) often converge to accurate input embedding for numbers, based on sinusoidal representations. In this work, we quantify that these representations are in fact strikingly systematic, to…

We propose novel evaluations for mathematical reasoning capabilities of Large Language Models (LLMs) based on mathematical misconceptions. Our primary approach is to simulate LLMs as a novice learner and an expert tutor, aiming to identify…

Computation and Language · Computer Science 2023-10-05 Naiming Liu , Shashank Sonkar , Zichao Wang , Simon Woodhead , Richard G. Baraniuk

Against the backdrop of enthusiasm for large language models (LLMs), there is a growing need to scientifically assess their capabilities and shortcomings. This is nontrivial in part because it is difficult to find tasks which the models…

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

Multimodal large language models (MLLMs) perform strongly on natural images, yet their ability to understand discrete visual symbols remains unclear. We present a multi-domain benchmark spanning language, culture, mathematics, physics and…

Language models (LMs) exhibit remarkable abilities to solve new tasks from just a few examples or textual instructions, especially at scale. They also, paradoxically, struggle with basic functionality, such as arithmetic or factual lookup,…

Computation and Language · Computer Science 2023-02-10 Timo Schick , Jane Dwivedi-Yu , Roberto Dessì , Roberta Raileanu , Maria Lomeli , Luke Zettlemoyer , Nicola Cancedda , Thomas Scialom

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

We study how prompt-level inductive biases influence the cognitive behavior of large language models (LLMs) in instructional dialogue. We introduce a symbolic scaffolding method paired with a short-term memory schema designed to promote…

Artificial Intelligence · Computer Science 2025-10-31 Vanessa Figueiredo

Interestingly, LLMs yet struggle with some basic tasks that humans find trivial to handle, e.g., counting the number of character r's in the word "strawberry". There are several popular conjectures (e.g., tokenization, architecture and…

Computation and Language · Computer Science 2025-02-10 Nan Xu , Xuezhe Ma

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth