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Daily internet communication relies heavily on tree-structured graphs, embodied by popular data formats such as XML and JSON. However, many recent generative (probabilistic) models utilize neural networks to learn a probability distribution…

Machine Learning · Computer Science 2024-08-20 Milan Papež , Martin Rektoris , Tomáš Pevný , Václav Šmídl

Many computational tasks benefit from being formulated as the composition of neural networks followed by a discrete symbolic program. The goal of neurosymbolic learning is to train the neural networks using end-to-end input-output labels of…

Machine Learning · Computer Science 2025-10-24 Seewon Choi , Alaia Solko-Breslin , Rajeev Alur , Eric Wong

With the prevalence of publicly available source code repositories to train deep neural network models, neural program models can do well in source code analysis tasks such as predicting method names in given programs that cannot be easily…

Software Engineering · Computer Science 2022-07-12 Md Rafiqul Islam Rabin , Nghi D. Q. Bui , Ke Wang , Yijun Yu , Lingxiao Jiang , Mohammad Amin Alipour

A key feature of intelligent behaviour is the ability to learn abstract strategies that scale and transfer to unfamiliar problems. An abstract strategy solves every sample from a problem class, no matter its representation or complexity --…

Neural and Evolutionary Computing · Computer Science 2021-05-18 Daniel Tanneberg , Elmar Rueckert , Jan Peters

That shared features between train and test data are required for generalisation in artificial neural networks has been a common assumption of both proponents and critics of these models. Here, we show that convolutional architectures avoid…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Jeff Mitchell , Jeffrey S. Bowers

Symbolic perturbations offer a novel approach for influencing neural representations without requiring direct modification of model parameters. The recursive regeneration of symbolic structures introduces structured variations in latent…

Computation and Language · Computer Science 2025-08-11 Kathlyn Eaglewood , Tobias Featherington , Dorian Mayfair , Sylvester Grimshaw , James Pettigrew

We develop a theoretical framework that explains how discrete symbolic structures can emerge naturally from continuous neural network training dynamics. By lifting neural parameters to a measure space and modeling training as Wasserstein…

Machine Learning · Computer Science 2025-07-03 Peihao Wang , Zhangyang Wang

A central problem to understanding intelligence is the concept of generalisation. This allows previously learnt structure to be exploited to solve tasks in novel situations differing in their particularities. We take inspiration from…

Artificial Intelligence · Computer Science 2018-10-30 James C. R. Whittington , Timothy H. Muller , Shirley Mark , Caswell Barry , Timothy E. J. Behrens

Knowledge graph reasoning is the fundamental component to support machine learning applications such as information extraction, information retrieval, and recommendation. Since knowledge graphs can be viewed as the discrete symbolic…

Artificial Intelligence · Computer Science 2021-04-01 Jing Zhang , Bo Chen , Lingxi Zhang , Xirui Ke , Haipeng Ding

The integration of symbolic computing with neural networks has intrigued researchers since the first theorizations of Artificial intelligence (AI). The ability of Neuro-Symbolic (NeSy) methods to infer or exploit behavioral schema has been…

Artificial Intelligence · Computer Science 2026-03-04 Giovanni Pio Delvecchio , Lorenzo Molfetta , Gianluca Moro

Sequence-to-sequence (seq2seq) models are prevalent in semantic parsing, but have been found to struggle at out-of-distribution compositional generalization. While specialized model architectures and pre-training of seq2seq models have been…

Computation and Language · Computer Science 2021-04-16 Jonathan Herzig , Peter Shaw , Ming-Wei Chang , Kelvin Guu , Panupong Pasupat , Yuan Zhang

Rich and accurate medical image segmentation is poised to underpin the next generation of AI-defined clinical practice by delineating critical anatomy for pre-operative planning, guiding real-time intra-operative navigation, and supporting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Junwen Wang , Oscar MacCormac , William Rochford , Aaron Kujawa , Jonathan Shapey , Tom Vercauteren

Analysis and manipulation of trained neural networks is a challenging and important problem. We propose a symbolic representation for piecewise-linear neural networks and discuss its efficient computation. With this representation, one can…

Machine Learning · Computer Science 2019-08-21 Matthew Sotoudeh , Aditya V. Thakur

Imitation learning is widely used for learning to act in complex environments. While pure neural-based methods handle high dimensional data effectively, they suffer from the requirement of large number of samples and are prone to…

Machine Learning · Computer Science 2026-05-11 Nikhilesh Prabhakar , Varun Balaji , Athresh Karanam , Kristian Kersting , Sriraam Natarajan

Neuro-Symbolic AI (NeSy) holds promise to ensure the safe deployment of AI systems, as interpretable symbolic techniques provide formal behaviour guarantees. The challenge is how to effectively integrate neural and symbolic computation, to…

Artificial Intelligence · Computer Science 2024-02-06 Daniel Cunnington , Mark Law , Jorge Lobo , Alessandra Russo

Deep neural networks achieve high accuracy on image classification tasks. Yet, they often produce overconfident predictions as which fail to express epistemic uncertainty, and frequently violate logical or structural constraints present in…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Ezel Kilicdere , Shireen Kudukkil Manchingal , Fabio Cuzzolin

General logical reasoning, defined as the ability to reason deductively on domain-agnostic tasks, continues to be a challenge for large language models (LLMs). Current LLMs fail to reason deterministically and are not interpretable. As…

Artificial Intelligence · Computer Science 2025-08-06 Michael K. Chen

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

Neural and Evolutionary Computing · Computer Science 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

The functional and structural representation of the brain as a complex network is marked by the fact that the comparison of noisy and intrinsically correlated high-dimensional structures between experimental conditions or groups shuns…

Neurons and Cognition · Quantitative Biology 2013-10-25 Tommaso Furlanello , Marco Cristoforetti , Cesare Furlanello , Giuseppe Jurman

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić