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Deduction, induction, and abduction are fundamental reasoning paradigms, core for human logical thinking. Although improving Large Language Model (LLM) reasoning has attracted significant research efforts, the extent to which the…

Computation and Language · Computer Science 2026-02-11 Mingzi Cao , Xingwei Tan , Mahmud Elahi Akhter , Marco Valentino , Maria Liakata , Xi Wang , Nikolaos Aletras

Transformer-based models excel in various tasks but their generalization capabilities, especially in arithmetic reasoning, remain incompletely understood. Arithmetic tasks provide a controlled framework to explore these capabilities, yet…

Machine Learning · Computer Science 2025-08-07 Xingcheng Xu , Zibo Zhao , Haipeng Zhang , Yanqing Yang

Transformer language models have demonstrated impressive generalization capabilities in natural language domains, yet we lack a fine-grained understanding of how such generalization arises. In this paper, we investigate length…

Computation and Language · Computer Science 2025-08-05 Ziyang Cai , Nayoung Lee , Avi Schwarzschild , Samet Oymak , Dimitris Papailiopoulos

Prior work on in-context copying has shown the existence of induction heads, which attend to and promote individual tokens during copying. In this work we discover a new type of induction head: concept-level induction heads, which copy…

Computation and Language · Computer Science 2025-07-22 Sheridan Feucht , Eric Todd , Byron Wallace , David Bau

"Induction heads" are attention heads that implement a simple algorithm to complete token sequences like [A][B] ... [A] -> [B]. In this work, we present preliminary and indirect evidence for a hypothesis that induction heads might…

Recent large language models have demonstrated relevant capabilities in solving problems that require logical reasoning; however, the corresponding internal mechanisms remain largely unexplored. In this paper, we show that a small language…

Artificial Intelligence · Computer Science 2025-10-13 Davide Maltoni , Matteo Ferrara

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

Computation and Language · Computer Science 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan

Large language models are able to perform a task by conditioning on a few input-output demonstrations - a paradigm known as in-context learning. We show that language models can explicitly infer an underlying task from a few demonstrations…

Computation and Language · Computer Science 2022-05-24 Or Honovich , Uri Shaham , Samuel R. Bowman , Omer Levy

Language models have been shown to perform better with an increase in scale on a wide variety of tasks via the in-context learning paradigm. In this paper, we investigate the hypothesis that the ability of a large language model to…

Computation and Language · Computer Science 2023-08-17 Hritik Bansal , Karthik Gopalakrishnan , Saket Dingliwal , Sravan Bodapati , Katrin Kirchhoff , Dan Roth

Large natural language models (such as GPT-3 or T5) demonstrate impressive abilities across a range of general NLP tasks. Here, we show that the knowledge embedded in such models provides a useful inductive bias, not just on traditional NLP…

Computation and Language · Computer Science 2021-10-07 Christopher Michael Rytting , David Wingate

Additive models form a widely popular class of regression models which represent the relation between covariates and response variables as the sum of low-dimensional transfer functions. Besides flexibility and accuracy, a key benefit of…

Machine Learning · Statistics 2015-05-20 Alhussein Fawzi , Mathieu Sinn , Pascal Frossard

Despite the recent success of artificial neural networks on a variety of tasks, we have little knowledge or control over the exact solutions these models implement. Instilling inductive biases -- preferences for some solutions over others…

Machine Learning · Computer Science 2024-02-02 Enyan Zhang , Michael A. Lepori , Ellie Pavlick

Reasoning is an important task for large language models (LLMs). Among all the reasoning paradigms, inductive reasoning is one of the fundamental types, which is characterized by its particular-to-general thinking process and the…

Computation and Language · Computer Science 2026-04-14 Kedi Chen , Dezhao Ruan , Yuhao Dan , Yaoting Wang , Siyu Yan , Xuecheng Wu , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Biqing Qi , Linyang Li , Qipeng Guo , Xiaoming Shi , Wei Zhang

Grammar induction has made significant progress in recent years. However, it is not clear how the application of induced grammar could enhance practical performance in downstream tasks. In this work, we introduce an unsupervised grammar…

Computation and Language · Computer Science 2024-10-08 Jushi Kai , Shengyuan Hou , Yusheng Huang , Zhouhan Lin

Task arithmetic refers to editing the pre-trained model by adding a weighted sum of task vectors, each of which is the weight update from the pre-trained model to fine-tuned models for certain tasks. This approach recently gained attention…

Machine Learning · Computer Science 2025-05-27 Hongkang Li , Yihua Zhang , Shuai Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen

Counting is a fundamental example of generalization, whether viewed through the mathematical lens of Peano's axioms defining the natural numbers or the cognitive science literature for children learning to count. The argument holds for both…

Machine Learning · Computer Science 2024-11-19 Yingshan Chang , Yonatan Bisk

Large language models (LLMs) exhibit impressive in-context learning (ICL) capability, enabling them to perform new tasks using only a few demonstrations in the prompt. Two different mechanisms have been proposed to explain ICL: induction…

Machine Learning · Computer Science 2025-05-05 Kayo Yin , Jacob Steinhardt

Even for simple arithmetic tasks like integer addition, it is challenging for Transformers to generalize to longer sequences than those encountered during training. To tackle this problem, we propose position coupling, a simple yet…

Machine Learning · Computer Science 2024-10-31 Hanseul Cho , Jaeyoung Cha , Pranjal Awasthi , Srinadh Bhojanapalli , Anupam Gupta , Chulhee Yun

Large language models (LLMs) exhibit strong in-context learning capabilities, but how they track and retrieve information from context remains underexplored. Drawing on the free recall paradigm in cognitive science (where participants…

Computation and Language · Computer Science 2026-04-02 Anooshka Bajaj , Deven Mahesh Mistry , Sahaj Singh Maini , Yash Aggarwal , Billy Dickson , Zoran Tiganj

When humans perform inductive learning, they often enhance the process with background knowledge. With the increasing availability of well-formed collaborative knowledge bases, the performance of learning algorithms could be significantly…

Artificial Intelligence · Computer Science 2018-02-02 Lior Friedman , Shaul Markovitch
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