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Symbolic has been long considered as a language of human intelligence while neural networks have advantages of robust computation and dealing with noisy data. The integration of neural-symbolic can offer better learning and reasoning while…

Artificial Intelligence · Computer Science 2017-06-23 Son N. Tran

This paper examines how deep learning (DL) representations, in contrast to traditional engineered features, can support semantic interaction (SI) in visual analytics. SI attempts to model user's cognitive reasoning via their interaction…

Human-Computer Interaction · Computer Science 2020-08-03 Yali Bian , John Wenskovitch , Chris North

Advocates for Neuro-Symbolic Artificial Intelligence (NeSy) assert that combining deep learning with symbolic reasoning will lead to stronger AI than either paradigm on its own. As successful as deep learning has been, it is generally…

Artificial Intelligence · Computer Science 2022-12-16 Kyle Hamilton , Aparna Nayak , Bojan Božić , Luca Longo

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

Deep learning architectures based on convolutional neural networks tend to rely on continuous, smooth features. While this characteristics provides significant robustness and proves useful in many real-world tasks, it is strikingly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zuzanna Buchnajzer , Kacper Dobek , Stanisław Hapke , Daniel Jankowski , Krzysztof Krawiec

We consider the problem of combining machine learning models to perform higher-level cognitive tasks with clear specifications. We propose the novel problem of Visual Discrimination Puzzles (VDP) that requires finding interpretable…

Machine Learning · Computer Science 2022-09-27 Adithya Murali , Atharva Sehgal , Paul Krogmeier , P. Madhusudan

Visual reasoning is essential for building intelligent agents that understand the world and perform problem-solving beyond perception. Differentiable forward reasoning has been developed to integrate reasoning with gradient-based machine…

Machine Learning · Computer Science 2025-07-08 Hikaru Shindo , Viktor Pfanschilling , Devendra Singh Dhami , Kristian Kersting

Neuro-symbolic AI is an effective method for improving the overall performance of AI models by combining the advantages of neural networks and symbolic learning. However, there are differences between the two in terms of how they process…

Artificial Intelligence · Computer Science 2024-11-08 Xin Zhang , Victor S. Sheng

Neural-symbolic learning, an intersection of neural networks and symbolic reasoning, aims to blend neural networks' learning capabilities with symbolic AI's interpretability and reasoning. This paper introduces an approach designed to…

Artificial Intelligence · Computer Science 2025-06-10 Fadi Al Machot

Neurosymbolic learning enables the integration of symbolic reasoning with deep learning but faces significant challenges in scaling to complex symbolic programs, large datasets, or both. We introduce DOLPHIN, a framework that tackles these…

Machine Learning · Computer Science 2026-01-01 Aaditya Naik , Jason Liu , Claire Wang , Amish Sethi , Saikat Dutta , Mayur Naik , Eric Wong

This article explores the convergence of connectionist and symbolic artificial intelligence (AI), from historical debates to contemporary advancements. Traditionally considered distinct paradigms, connectionist AI focuses on neural…

Artificial Intelligence · Computer Science 2024-10-15 Haoyi Xiong , Zhiyuan Wang , Xuhong Li , Jiang Bian , Zeke Xie , Shahid Mumtaz , Anwer Al-Dulaimi , Laura E. Barnes

Knowledge graph reasoning is pivotal in various domains such as data mining, artificial intelligence, the Web, and social sciences. These knowledge graphs function as comprehensive repositories of human knowledge, facilitating the inference…

Artificial Intelligence · Computer Science 2024-12-17 Lihui Liu , Zihao Wang , Hanghang Tong

Neural networks have a reputation for being better at solving statistical or approximate problems than at performing calculations or working with symbolic data. In this paper, we show that they can be surprisingly good at more elaborated…

Symbolic Computation · Computer Science 2019-12-04 Guillaume Lample , François Charton

Raven's Progressive Matrices are a benchmark originally designed to test the cognitive abilities of humans. It has recently been adapted to test relational reasoning in machine learning systems. For this purpose the so-called Procedurally…

Machine Learning · Computer Science 2020-03-27 Marius Jahrens , Thomas Martinetz

Raven's Progressive Matrices (RPMs) is an established benchmark to examine the ability to perform high-level abstract visual reasoning (AVR). Despite the current success of algorithms that solve this task, humans can generalize beyond a…

Artificial Intelligence · Computer Science 2025-04-01 Kalliopi Basioti , Pritish Sahu , Qingze Tony Liu , Zihao Xu , Hao Wang , Vladimir Pavlovic

Large language models (LLMs) continue to face challenges in reliably solving reasoning tasks, particularly those that require precise rule following, as often found in mathematical reasoning. This paper introduces a novel neurosymbolic…

Machine Learning · Computer Science 2025-11-19 Varun Dhanraj , Chris Eliasmith

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

We introduce the Neural State Machine, seeking to bridge the gap between the neural and symbolic views of AI and integrate their complementary strengths for the task of visual reasoning. Given an image, we first predict a probabilistic…

Artificial Intelligence · Computer Science 2019-11-26 Drew A. Hudson , Christopher D. Manning

In recent years, neuro-symbolic methods have become a popular and powerful approach that augments artificial intelligence systems with the capability to perform abstract, logical, and quantitative deductions with enhanced precision and…

Artificial Intelligence · Computer Science 2025-02-04 Yuxuan Wu , Hideki Nakayama

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

Artificial Intelligence · Computer Science 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger
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