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State-of-the-art machine learning methods exhibit limited compositional generalization. At the same time, there is a lack of realistic benchmarks that comprehensively measure this ability, which makes it challenging to find and evaluate…

Compositional generalization tests are often used to estimate the compositionality of LLMs. However, such tests have the following limitations: (1) they only focus on the output results without considering LLMs' understanding of sample…

Artificial Intelligence · Computer Science 2026-05-01 Ziyao Xu , Cong Wang , Houfeng Wang

Generic unstructured neural networks have been shown to struggle on out-of-distribution compositional generalization. Compositional data augmentation via example recombination has transferred some prior knowledge about compositionality to…

Computation and Language · Computer Science 2022-05-06 Linlu Qiu , Peter Shaw , Panupong Pasupat , Paweł Krzysztof Nowak , Tal Linzen , Fei Sha , Kristina Toutanova

Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Compositional generalization, the ability to generate novel combinations of known concepts, is a key ingredient for visual generative models. Yet, not all mechanisms that enable or inhibit it are fully understood. In this work, we conduct a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Karim Farid , Rajat Sahay , Yumna Ali Alnaggar , Simon Schrodi , Volker Fischer , Cordelia Schmid , Thomas Brox

Mathematics is often perceived as a complex subject by students, leading to high failure rates in exams. To improve Mathematics skills, it is important to provide sample questions for students to practice problem-solving. Manually creating…

Compositional generalization (the ability to respond correctly to novel combinations of familiar components) is thought to be a cornerstone of intelligent behavior. Compositionally structured (e.g. disentangled) representations support this…

Machine Learning · Computer Science 2025-04-09 Samuel Lippl , Kim Stachenfeld

Compositional generalization is the capability of a model to understand novel compositions composed of seen concepts. There are multiple levels of novel compositions including phrase-phrase level, phrase-word level, and word-word level.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Chuanhao Li , Zhen Li , Chenchen Jing , Xiaomeng Fan , Wenbo Ye , Yuwei Wu , Yunde Jia

Compositional generalization -- the ability to understand and generate novel combinations of learned concepts -- enables models to extend their capabilities beyond limited experiences. While effective, the data structures and principles…

Machine Learning · Computer Science 2025-12-12 Lingjing Kong , Shaoan Xie , Yang Jiao , Yetian Chen , Yanhui Guo , Simone Shao , Yan Gao , Guangyi Chen , Kun Zhang

Natural language is compositional; the meaning of a sentence is a function of the meaning of its parts. This property allows humans to create and interpret novel sentences, generalizing robustly outside their prior experience. Neural…

Computation and Language · Computer Science 2021-06-30 Henry Conklin , Bailin Wang , Kenny Smith , Ivan Titov

There has been a growing interest in enhancing the mathematical problem-solving (MPS) capabilities of large language models. While the majority of research efforts concentrate on creating specialized models to solve mathematical problems,…

Computation and Language · Computer Science 2025-07-08 Ruochen Zhou , Minrui Xu , Shiqi Chen , Junteng Liu , Yunqi Li , Xinxin Lin , Zhengyu Chen , Junxian He

Despite the rising prevalence of neural language models, recent empirical evidence suggests their deficiency in compositional generalization. One of the current de-facto solutions to this problem is compositional data augmentation, which…

Computation and Language · Computer Science 2025-03-03 Zhaoyi Li , Gangwei Jiang , Chenwang Wu , Ying Wei , Defu Lian , Enhong Chen

Compositional generalization-a key open challenge in modern machine learning-requires models to predict unknown combinations of known concepts. However, assessing compositional generalization remains a fundamental challenge due to the lack…

Machine Learning · Computer Science 2025-11-06 Giacomo Camposampiero , Pietro Barbiero , Michael Hersche , Roger Wattenhofer , Abbas Rahimi

In this paper, we revisit math word problems~(MWPs) from the cross-lingual and multilingual perspective. We construct our MWP solvers over pretrained multilingual language models using sequence-to-sequence model with copy mechanism. We…

Computation and Language · Computer Science 2022-11-15 Minghuan Tan , Lei Wang , Lingxiao Jiang , Jing Jiang

There is an increasing interest in the use of mathematical word problem (MWP) generation in educational assessment. Different from standard natural question generation, MWP generation needs to maintain the underlying mathematical operations…

Computation and Language · Computer Science 2021-09-10 Tianqiao Liu , Qiang Fang , Wenbiao Ding , Hang Li , Zhongqin Wu , Zitao Liu

Despite the rising prevalence of neural sequence models, recent empirical evidences suggest their deficiency in compositional generalization. One of the current de-facto solutions to this problem is compositional data augmentation, aiming…

Computation and Language · Computer Science 2023-06-06 Zhaoyi Li , Ying Wei , Defu Lian

Image captioning has focused on generalizing to images drawn from the same distribution as the training set, and not to the more challenging problem of generalizing to different distributions of images. Recently, Nikolaus et al. (2019)…

Computation and Language · Computer Science 2021-01-29 Emanuele Bugliarello , Desmond Elliott

Flexible neural sequence models outperform grammar- and automaton-based counterparts on a variety of tasks. However, neural models perform poorly in settings requiring compositional generalization beyond the training data -- particularly to…

Computation and Language · Computer Science 2021-06-09 Ekin Akyürek , Afra Feyza Akyürek , Jacob Andreas

Modern generative models exhibit unprecedented capabilities to generate extremely realistic data. However, given the inherent compositionality of the real world, reliable use of these models in practical applications requires that they…

Machine Learning · Computer Science 2025-07-29 Maya Okawa , Ekdeep Singh Lubana , Robert P. Dick , Hidenori Tanaka

Math Word Problems (MWPs) in online assessments help test the ability of the learner to make critical inferences by interpreting the linguistic information in them. To test the mathematical reasoning capabilities of the learners, sometimes…

Information Retrieval · Computer Science 2023-07-06 Mayank Goel , Venktesh V , Vikram Goyal