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We propose a formal model of reasoning limitations in large neural net models for language, grounded in the depth of their neural architecture. By treating neural networks as linear operators over logic predicate space we show that each…

Artificial Intelligence · Computer Science 2025-07-29 Bill Cochran

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

Machine Learning · Computer Science 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

The integration of low-level perception with high-level reasoning is one of the oldest problems in Artificial Intelligence. Recently, several proposals were made to implement the reasoning process in complex neural network architectures.…

Artificial Intelligence · Computer Science 2020-09-23 Zhun Yang

Enabling neural networks to learn complex logical constraints and fulfill symbolic reasoning is a critical challenge. Bridging this gap often requires guiding the neural network's output distribution to move closer to the symbolic…

Artificial Intelligence · Computer Science 2025-08-25 Xuan Zhang , Zhijian Zhou , Weidi Xu , Yanting Miao , Chao Qu , Yuan Qi

Deep learning methods are achieving ever-increasing performance on many artificial intelligence tasks. A major limitation of deep models is that they are not amenable to interpretability. This limitation can be circumvented by developing…

Machine Learning · Computer Science 2022-07-05 Hao Yuan , Haiyang Yu , Shurui Gui , Shuiwang Ji

State of the art algorithms for many pattern recognition problems rely on deep network models. Training these models requires a large labeled dataset and considerable computational resources. Also, it is difficult to understand the working…

Artificial Intelligence · Computer Science 2019-09-25 Heather Riley , Mohan Sridharan

Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

Artificial Neural Networks are computational network models inspired by signal processing in the brain. These models have dramatically improved the performance of many learning tasks, including speech and object recognition. However,…

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

The demands on visual recognition systems do not end with the complexity offered by current large-scale image datasets, such as ImageNet. In consequence, we need curious and continuously learning algorithms that actively acquire knowledge…

Computer Vision and Pattern Recognition · Computer Science 2016-12-20 Christoph Käding , Erik Rodner , Alexander Freytag , Joachim Denzler

Approaches to machine intelligence based on brain models have stressed the use of neural networks for generalization. Here we propose the use of a hybrid neural network architecture that uses two kind of neural networks simultaneously: (i)…

Neural and Evolutionary Computing · Computer Science 2008-10-01 Yuhua Chen , Subhash Kak , Lei Wang

Despite the extensive investment and impressive recent progress at reasoning by similarity, deep learning continues to struggle with more complex forms of reasoning such as non-monotonic and commonsense reasoning. Non-monotonicity is a…

Artificial Intelligence · Computer Science 2023-05-04 Sofoklis Kyriakopoulos , Artur S. d'Avila Garcez

The development of artificial intelligence systems with advanced reasoning capabilities represents a persistent and long-standing research question. Traditionally, the primary strategy to address this challenge involved the adoption of…

Machine Learning · Computer Science 2024-02-22 Danilo Numeroso

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Neural-symbolic integration aims to combine the connectionist subsymbolic with the logical symbolic approach to artificial intelligence. In this paper, we first define the answer set semantics of (boolean) neural nets and then introduce…

Logic in Computer Science · Computer Science 2024-06-19 Christian Antić

Neural Algorithmic Reasoning (NAR) research has demonstrated that graph neural networks (GNNs) could learn to execute classical algorithms. However, most previous approaches have always used a recurrent architecture, where each iteration of…

Machine Learning · Computer Science 2024-10-22 Dobrik Georgiev , JJ Wilson , Davide Buffelli , Pietro Liò

This paper offers a new perspective on Artificial Neural Networks (ANNs) architecture. Traditional ANNs commonly use tree-like or DAG structures for simplicity, which can be preset or determined by Neural Architecture Search (NAS). Yet,…

Machine Learning · Computer Science 2025-06-05 Xinshun Liu , Yizhi Fang , Yichao Jiang

With the broader and highly successful usage of machine learning in industry and the sciences, there has been a growing demand for Explainable AI. Interpretability and explanation methods for gaining a better understanding about the problem…

Machine Learning · Computer Science 2021-02-26 Wojciech Samek , Grégoire Montavon , Sebastian Lapuschkin , Christopher J. Anders , Klaus-Robert Müller

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

Human reasoning can often be understood as an interplay between two systems: the intuitive and associative ("System 1") and the deliberative and logical ("System 2"). Neural sequence models -- which have been increasingly successful at…

Artificial Intelligence · Computer Science 2021-12-16 Maxwell Nye , Michael Henry Tessler , Joshua B. Tenenbaum , Brenden M. Lake