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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

Recent neuro-symbolic geometry theorem provers have made significant progress on Euclidean problems by coupling neural guidance with symbolic verification. However, most existing systems operate almost exclusively in a symbolic space,…

Artificial Intelligence · Computer Science 2026-02-24 Minfeng Zhu , Zi Wang , Sizhe Ji , Zhengtong Du , Shengqiang Tai , Junming Ke , Xiao Deng , Zanlang Yin , Xiuqi Huang , Heyu Wang , Wei Chen

We propose GeoUni, the first unified geometry expert model capable of generating problem solutions and diagrams within a single framework in a way that enables the creation of unique and individualized geometry problems. Traditionally,…

Machine Learning · Computer Science 2025-05-09 Jo-Ku Cheng , Zeren Zhang , Ran Chen , Jingyang Deng , Ziran Qin , Jinwen Ma

When faced with complex spatial problems, humans naturally sketch layouts to organize their thinking, and the act of drawing further sharpens their understanding. In this work, we ask whether a similar principle holds for Large Language…

Artificial Intelligence · Computer Science 2026-04-17 Shiyuan Huang , Li Liu , Jincheng He , Leilani H. Gilpin

Research in Artificial Intelligence (AI) has focused mostly on two extremes: either on small improvements in narrow AI domains, or on universal theoretical frameworks which are usually uncomputable, incompatible with theories of biological…

In this paper, we consider the problem of fast and efficient indexing techniques for sequences evolving in non-Euclidean spaces. This problem has several applications in the areas of human activity analysis, where there is a need to perform…

Computer Vision and Pattern Recognition · Computer Science 2015-02-17 Rushil Anirudh , Pavan Turaga

Visual Question answering is a challenging problem requiring a combination of concepts from Computer Vision and Natural Language Processing. Most existing approaches use a two streams strategy, computing image and question features that are…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Will Norcliffe-Brown , Efstathios Vafeias , Sarah Parisot

This work addresses the problems of (a) designing utilization measurements of trained artificial intelligence (AI) models and (b) explaining how training data are encoded in AI models based on those measurements. The problems are motivated…

Machine Learning · Computer Science 2022-12-14 Peter Bajcsy , Antonio Cardone , Chenyi Ling , Philippe Dessauw , Michael Majurski , Tim Blattner , Derek Juba , Walid Keyrouz

In recent years, neural systems have demonstrated highly effective learning ability and superior perception intelligence. However, they have been found to lack effective reasoning and cognitive ability. On the other hand, symbolic systems…

Machine Learning · Computer Science 2023-06-27 Dongran Yu , Bo Yang , Dayou Liu , Hui Wang , Shirui Pan

Artificial Intelligence significantly enhances the visual art industry by analyzing, identifying and generating digitized artistic images. This review highlights the substantial benefits of integrating geometric data into AI models,…

Artificial Intelligence · Computer Science 2024-12-03 Mridula Vijendran , Jingjing Deng , Shuang Chen , Edmond S. L. Ho , Hubert P. H. Shum

Document summarization provides an instrument for faster understanding the collection of text documents and has several real-life applications. With the growth of online text data, numerous summarization models have been proposed recently.…

Computation and Language · Computer Science 2022-04-01 Mingyang Song , Liping Jing

Semantic communication systems often use an end-to-end neural network to map input data into continuous symbols. These symbols, which are essentially neural network features, usually have fixed dimensions and heavy-tailed distributions.…

Information Theory · Computer Science 2025-12-17 Hanju Yoo , Dongha Choi , Songkuk Kim , Chan-Byoung Chae , Robert W. Heath

We study mathematical discovery through the lens of neurosymbolic reasoning, where an AI agent powered by a large language model (LLM), coupled with symbolic computation tools, and human strategic direction, jointly produced a new result in…

Artificial Intelligence · Computer Science 2026-03-10 Hai Xia , Carla P. Gomes , Bart Selman , Stefan Szeider

Large neural networks can now generate jokes, but do they really "understand" humor? We challenge AI models with three tasks derived from the New Yorker Cartoon Caption Contest: matching a joke to a cartoon, identifying a winning caption,…

Computation and Language · Computer Science 2023-07-07 Jack Hessel , Ana Marasović , Jena D. Hwang , Lillian Lee , Jeff Da , Rowan Zellers , Robert Mankoff , Yejin Choi

Imitation learning is a popular method for teaching robots new behaviors. However, most existing methods focus on teaching short, isolated skills rather than long, multi-step tasks. To bridge this gap, imitation learning algorithms must not…

Artificial Intelligence · Computer Science 2025-11-04 Leon Keller , Daniel Tanneberg , Jan Peters

One of the goals of neuro-symbolic artificial intelligence is to exploit background knowledge to improve the performance of learning tasks. However, most of the existing frameworks focus on the simplified scenario where knowledge does not…

Artificial Intelligence · Computer Science 2025-05-09 Luca Salvatore Lorello , Marco Lippi , Stefano Melacci

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson

The AI community has been exploring a pathway to artificial general intelligence (AGI) by developing "language agents", which are complex large language models (LLMs) pipelines involving both prompting techniques and tool usage methods.…

As one of the fundamental problems in document analysis, scene character recognition has attracted considerable interests in recent years. But the problem is still considered to be extremely challenging due to many uncontrollable factors…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Yizhi Wang , Zhouhui Lian , Yingmin Tang , Jianguo Xiao

Learning the underlying patterns in data goes beyond instance-based generalization to external knowledge represented in structured graphs or networks. Deep learning that primarily constitutes neural computing stream in AI has shown…

Artificial Intelligence · Computer Science 2023-09-04 Ugur Kursuncu , Manas Gaur , Amit Sheth