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Integrating reasoning in large language models and large vision-language models has recently led to significant improvement of their capabilities. However, the generalization of reasoning models is still vaguely defined and poorly…

Machine Learning · Computer Science 2026-02-18 Yannic Neuhaus , Nicolas Flammarion , Matthias Hein , Francesco Croce

In this paper, we study the OOD generalization of neural algorithmic reasoning tasks, where the goal is to learn an algorithm (e.g., sorting, breadth-first search, and depth-first search) from input-output pairs using deep neural networks.…

Machine Learning · Computer Science 2023-03-21 Sadegh Mahdavi , Kevin Swersky , Thomas Kipf , Milad Hashemi , Christos Thrampoulidis , Renjie Liao

Deep learning has been demonstrated with tremendous success in recent years. Despite so, its performance in practice often degenerates drastically when encountering out-of-distribution (OoD) data, i.e. training and test data are sampled…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Haoyue Bai

Out-of-distribution generalization (OODG) is a longstanding challenge for neural networks. This challenge is quite apparent in tasks with well-defined variables and rules, where explicit use of the rules could solve problems independently…

Machine Learning · Computer Science 2022-12-14 Andrew J. Nam , Mustafa Abdool , Trevor Maxfield , James L. McClelland

Traditional machine learning paradigms are based on the assumption that both training and test data follow the same statistical pattern, which is mathematically referred to as Independent and Identically Distributed ($i.i.d.$). However, in…

Machine Learning · Computer Science 2023-07-28 Jiashuo Liu , Zheyan Shen , Yue He , Xingxuan Zhang , Renzhe Xu , Han Yu , Peng Cui

Chain-of-Thought (CoT) training has markedly advanced the reasoning capabilities of large language models (LLMs), yet the mechanisms by which CoT training enhances generalization remain inadequately understood. In this work, we demonstrate…

Machine Learning · Computer Science 2026-02-13 Xinhao Yao , Ruifeng Ren , Yun Liao , Lizhong Ding , Yong Liu

Generalization to novel compound tasks under distribution shift is important for deploying transformer-based language models (LMs). This work investigates Chain-of-Thought (CoT) reasoning as a means to enhance OOD generalization. Through…

Computation and Language · Computer Science 2026-03-31 Ru Wang , Wei Huang , Selena Song , Haoyu Zhang , Qian Niu , Yusuke Iwasawa , Yutaka Matsuo , Jiaxian Guo

Abstract reasoning, the ability to reason from the abstract essence of a problem, serves as a key to generalization in human reasoning. However, eliciting language models to perform reasoning with abstraction remains unexplored. This paper…

Computation and Language · Computer Science 2024-09-27 Ruixin Hong , Hongming Zhang , Xiaoman Pan , Dong Yu , Changshui Zhang

Machine learning models, while progressively advanced, rely heavily on the IID assumption, which is often unfulfilled in practice due to inevitable distribution shifts. This renders them susceptible and untrustworthy for deployment in…

Machine Learning · Computer Science 2024-03-05 Han Yu , Jiashuo Liu , Xingxuan Zhang , Jiayun Wu , Peng Cui

Systematic, compositional generalization beyond the training distribution remains a core challenge in machine learning -- and a critical bottleneck for the emergent reasoning abilities of modern language models. This work investigates…

Machine Learning · Computer Science 2025-10-17 Awni Altabaa , Siyu Chen , John Lafferty , Zhuoran Yang

Generalization to out-of-distribution (OOD) data is one of the central problems in modern machine learning. Recently, there is a surge of attempts to propose algorithms that mainly build upon the idea of extracting invariant features.…

Machine Learning · Computer Science 2021-11-09 Haotian Ye , Chuanlong Xie , Tianle Cai , Ruichen Li , Zhenguo Li , Liwei Wang

Time series frequently manifest distribution shifts, diverse latent features, and non-stationary learning dynamics, particularly in open and evolving environments. These characteristics pose significant challenges for out-of-distribution…

Machine Learning · Computer Science 2026-05-20 Xin Wu , Fei Teng , Xingwang Li , Ji Zhang , Tianrui Li , Qiang Duan

Neural networks trained with SGD were recently shown to rely preferentially on linearly-predictive features and can ignore complex, equally-predictive ones. This simplicity bias can explain their lack of robustness out of distribution…

Machine Learning · Computer Science 2022-09-13 Damien Teney , Ehsan Abbasnejad , Simon Lucey , Anton van den Hengel

While humans readily generalize abstract concepts to more complex or larger tasks, building Reinforcement Learning (RL) systems with this ability remains elusive. Here, we present the first theoretical model of how such Out-of-Distribution…

Machine Learning · Computer Science 2026-05-21 Nasehatul Mustakim , Lucas Lehnert

Modern foundation models exhibit remarkable out-of-distribution (OOD) generalization, solving tasks far beyond the support of their training data. However, the theoretical principles underpinning this phenomenon remain elusive. This paper…

Machine Learning · Statistics 2025-05-29 Jiawei Ge , Amanda Wang , Shange Tang , Chi Jin

Standard recognition approaches are unable to deal with novel categories at test time. Their overconfidence on the known classes makes the predictions unreliable for safety-critical applications such as healthcare or autonomous driving.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Lorenzo Li Lu , Giulia D'Ascenzi , Francesco Cappio Borlino , Tatiana Tommasi

Out-of-distribution (OOD) generalization is challenging because distribution shifts come in many forms. Numerous algorithms exist to address specific settings, but choosing the right training algorithm for the right dataset without trial…

Machine Learning · Computer Science 2025-06-03 Liangze Jiang , Damien Teney

Out-of-distribution (OOD) generalization is a favorable yet challenging property for deep neural networks. The core challenges lie in the limited availability of source domains that help models learn an invariant representation from the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Yijiang Li , Sucheng Ren , Weipeng Deng , Yuzhi Xu , Ying Gao , Edith Ngai , Haohan Wang

Generalization to out-of-distribution (OOD) data is a capability natural to humans yet challenging for machines to reproduce. This is because most learning algorithms strongly rely on the i.i.d.~assumption on source/target data, which is…

Machine Learning · Computer Science 2022-08-15 Kaiyang Zhou , Ziwei Liu , Yu Qiao , Tao Xiang , Chen Change Loy

Out-of-distribution (OOD) generalisation is considered a hallmark of human and animal intelligence. To achieve OOD through composition, a system must discover the environment-invariant properties of experienced input-output mappings and…

Machine Learning · Computer Science 2025-05-19 George Dimitriadis , Spyridon Samothrakis
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