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The classical approach to measure the expressive power of deep neural networks with piecewise linear activations is based on counting their maximum number of linear regions. This complexity measure is quite relevant to understand general…

Machine Learning · Computer Science 2021-02-26 Yuuki Takai , Akiyoshi Sannai , Matthieu Cordonnier

The ability to continually learn, retain and deploy skills to accomplish goals is a key feature of intelligent and efficient behavior. However, the neural mechanisms facilitating the continual learning and flexible (re-)composition of…

Machine Learning · Computer Science 2025-10-24 Haozhe Shan , Sun Minni , Lea Duncker

The study and understanding of human behaviour is relevant to computer science, artificial intelligence, neural computation, cognitive science, philosophy, psychology, and several other areas. Presupposing cognition as basis of behaviour,…

Algebraic reasoning remains one of the most informative stress tests for large language models, yet current benchmarks provide no mechanism for attributing failure to a specific cause. When a model fails an algebraic problem, a single…

Computation and Language · Computer Science 2026-04-09 Parth Patil , Dhruv Kumar , Yash Sinha , Murari Mandal

Although neural models have performed impressively well on various tasks such as image recognition and question answering, their reasoning ability has been measured in only few studies. In this work, we focus on spatial reasoning and…

Artificial Intelligence · Computer Science 2021-08-19 Hyunjae Kim , Yookyung Koh , Jinheon Baek , Jaewoo Kang

Representation is a core issue in artificial intelligence. Humans use discrete language to communicate and learn from each other, while machines use continuous features (like vector, matrix, or tensor in deep neural networks) to represent…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yuqi Wang , Xu-Yao Zhang , Cheng-Lin Liu , Zhaoxiang Zhang

This paper develops a novel methodology for using symbolic knowledge in deep learning. From first principles, we derive a semantic loss function that bridges between neural output vectors and logical constraints. This loss function captures…

Artificial Intelligence · Computer Science 2018-06-11 Jingyi Xu , Zilu Zhang , Tal Friedman , Yitao Liang , Guy Van den Broeck

Neuro-symbolic methods integrate neural architectures, knowledge representation and reasoning. However, they have been struggling at both dealing with the intrinsic uncertainty of the observations and scaling to real-world applications.…

Artificial Intelligence · Computer Science 2025-01-16 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini

Many neural nets appear to represent data as linear combinations of "feature vectors." Algorithms for discovering these vectors have seen impressive recent success. However, we argue that this success is incomplete without an understanding…

Artificial Intelligence · Computer Science 2024-07-23 Martin Wattenberg , Fernanda B. Viégas

Recently, there has been a surge of interest in combining deep learning models with reasoning in order to handle more sophisticated learning tasks. In many cases, a reasoning task can be solved by an iterative algorithm. This algorithm is…

Machine Learning · Computer Science 2020-11-02 Xinshi Chen , Yufei Zhang , Christoph Reisinger , Le Song

The impressive performance of neural networks on natural language processing tasks attributes to their ability to model complicated word and phrase compositions. To explain how the model handles semantic compositions, we study hierarchical…

Computation and Language · Computer Science 2020-06-16 Xisen Jin , Zhongyu Wei , Junyi Du , Xiangyang Xue , Xiang Ren

Compositionality is a key aspect of human intelligence, essential for reasoning and generalization. While transformer-based models have become the de facto standard for many language modeling tasks, little is known about how they represent…

Computation and Language · Computer Science 2025-06-03 Aishik Nagar , Ishaan Singh Rawal , Mansi Dhanania , Cheston Tan

Logic-based problems such as planning, theorem proving, or puzzles, typically involve combinatoric search and structured knowledge representation. Artificial neural networks are very successful statistical learners, however, for many years,…

Machine Learning · Computer Science 2017-12-11 Gadi Pinkas , Shimon Cohen

Standard methods in deep learning for natural language processing fail to capture the compositional structure of human language that allows for systematic generalization outside of the training distribution. However, human learners readily…

Machine Learning · Computer Science 2019-05-27 Jake Russin , Jason Jo , Randall C. O'Reilly , Yoshua Bengio

Structured reasoning can improve the inference performance of large language models (LLMs), but it also introduces computational cost and control constraints. When additional reasoning structure helps, and when it instead reduces efficiency…

Machine Learning · Computer Science 2026-04-14 Junyu Guo , Shangding Gu , Ming Jin , Costas Spanos , Javad Lavaei

This paper aims to understand how neural networks learn algorithmic reasoning by addressing two questions: How faithful are learned algorithms when they are effective, and why do neural networks fail to learn effective algorithms otherwise?…

Artificial Intelligence · Computer Science 2025-12-09 Lucas Saldyt , Subbarao Kambhampati

Human cognition excels at symbolic reasoning, deducing abstract rules from limited samples. This has been explained using symbolic and connectionist approaches, inspiring the development of a neuro-symbolic architecture that combines both…

Artificial Intelligence · Computer Science 2024-05-24 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

The ability to conduct logical reasoning is a fundamental aspect of intelligent human behavior, and thus an important problem along the way to human-level artificial intelligence. Traditionally, logic-based symbolic methods from the field…

Artificial Intelligence · Computer Science 2021-01-11 Patrick Hohenecker , Thomas Lukasiewicz

Semantic compositionality (SC) refers to the phenomenon that the meaning of a complex linguistic unit can be composed of the meanings of its constituents. Most related works focus on using complicated compositionality functions to model SC…

Computation and Language · Computer Science 2019-07-11 Fanchao Qi , Junjie Huang , Chenghao Yang , Zhiyuan Liu , Xiao Chen , Qun Liu , Maosong Sun

Skill composition is the ability to combine previously learned skills to solve new tasks. As neural networks acquire increasingly complex skills during their pretraining, it is not clear how successfully they can compose them. In this…

Computation and Language · Computer Science 2026-03-10 Paula Ontalvilla , Aitor Ormazabal , Gorka Azkune
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