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相关论文: Graph Neural Reasoning May Fail in Certifying Bool…

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In this paper we explore whether or not deep neural architectures can learn to classify Boolean satisfiability (SAT). We devote considerable time to discussing the theoretical properties of SAT. Then, we define a graph representation for…

人工智能 · 计算机科学 2017-02-14 Benedikt Bünz , Matthew Lamm

With the rapid development of deep learning techniques, various recent work has tried to apply graph neural networks (GNNs) to solve NP-hard problems such as Boolean Satisfiability (SAT), which shows the potential in bridging the gap…

人工智能 · 计算机科学 2021-11-16 Minghao Liu , Fuqi Jia , Pei Huang , Fan Zhang , Yuchen Sun , Shaowei Cai , Feifei Ma , Jian Zhang

Satisfiability of boolean formulae (SAT) has been a topic of research in logic and computer science for a long time. In this paper we are interested in understanding the structure of satisfiable and unsatisfiable sentences. In previous work…

组合数学 · 数学 2021-05-25 Vaibhav Karve , Anil N. Hirani

Machine learning approaches to solving Boolean Satisfiability (SAT) aim to replace handcrafted heuristics with learning-based models. Graph Neural Networks have emerged as the main architecture for SAT solving, due to the natural graph…

机器学习 · 计算机科学 2026-02-10 Saku Peltonen , Roger Wattenhofer

Graph Neural Networks (GNNs) have been recently leveraged to solve several logical reasoning tasks. Nevertheless, counting problems such as propositional model counting (#SAT) are still mostly approached with traditional solvers. Here we…

人工智能 · 计算机科学 2022-05-10 Gaia Saveri , Luca Bortolussi

Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

机器学习 · 计算机科学 2024-07-09 Markus Zopf , Francesco Alesiani

Graph Neural Networks (GNNs) have proven to be successful in many classification tasks, outperforming previous state-of-the-art methods in terms of accuracy. However, accuracy alone is not enough for high-stakes decision making. Decision…

机器学习 · 计算机科学 2019-06-04 Leonardo Teixeira , Brian Jalaian , Bruno Ribeiro

Neural networks have succeeded in many reasoning tasks. Empirically, these tasks require specialized network structures, e.g., Graph Neural Networks (GNNs) perform well on many such tasks, but less structured networks fail. Theoretically,…

机器学习 · 计算机科学 2020-02-18 Keyulu Xu , Jingling Li , Mozhi Zhang , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

We propose a modal logic in which counting modalities appear in linear inequalities. We show that each formula can be transformed into an equivalent graph neural network (GNN). We also show that a broad class of GNNs can be transformed…

人工智能 · 计算机科学 2025-03-28 Pierre Nunn , Marco Sälzer , François Schwarzentruber , Nicolas Troquard

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…

机器学习 · 计算机科学 2022-07-05 Hao Yuan , Haiyang Yu , Shurui Gui , Shuiwang Ji

Graph neural networks (GNNs) have shown promising performance in solving both Boolean satisfiability (SAT) and Maximum Satisfiability (MaxSAT) problems due to their ability to efficiently model and capture the structural dependencies…

机器学习 · 计算机科学 2025-04-17 Qiyue Chen , Shaolin Tan , Suixiang Gao , Jinhu Lü

Graph neural networks (GNNs) are quickly becoming the standard approach for learning on graph structured data across several domains, but they lack transparency in their decision-making. Several perturbation-based approaches have been…

机器学习 · 计算机科学 2021-11-29 Anna Himmelhuber , Mitchell Joblin , Martin Ringsquandl , Thomas Runkler

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over recent years. Instance-level GNN explanation aims to discover critical input elements, like nodes or edges, that the target GNN…

机器学习 · 计算机科学 2023-09-06 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

Graph neural networks (GNNs) have been extensively developed for graph representation learning in various application domains. However, similar to all other neural networks models, GNNs suffer from the black-box problem as people cannot…

机器学习 · 计算机科学 2022-03-18 Peibo Li , Yixing Yang , Maurice Pagnucco , Yang Song

Following a fast initial breakthrough in graph based learning, Graph Neural Networks (GNNs) have reached a widespread application in many science and engineering fields, prompting the need for methods to understand their decision process.…

机器学习 · 计算机科学 2026-05-04 Antonio Longa , Steve Azzolin , Gabriele Santin , Giulia Cencetti , Pietro Liò , Bruno Lepri , Andrea Passerini

Graph Neural Networks (GNNs) are neural models that leverage the dependency structure in graphical data via message passing among the graph nodes. GNNs have emerged as pivotal architectures in analyzing graph-structured data, and their…

机器学习 · 计算机科学 2024-03-19 Xu Zheng , Farhad Shirani , Tianchun Wang , Wei Cheng , Zhuomin Chen , Haifeng Chen , Hua Wei , Dongsheng Luo

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

机器学习 · 计算机科学 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

Graph neural networks (GNNs) are powerful tools on graph data. However, their predictions are mis-calibrated and lack interpretability, limiting their adoption in critical applications. To address this issue, we propose a new…

机器学习 · 计算机科学 2025-08-26 Lingkai Kong , Haotian Sun , Yuchen Zhuang , Haorui Wang , Wenhao Mu , Chao Zhang

Graph Neural Networks (GNNs) have gathered increasing interest as learnable solvers of Boolean Satisfiability Problems (SATs), operating on graph representations of logical formulas. However, their performance degrades sharply on harder and…

机器学习 · 计算机科学 2026-03-09 Geri Skenderi

In this paper, we propose a modal logic in which counting modalities appear in linear inequalities. We show that each formula can be transformed into an equivalent graph neural network (GNN). We also show that each GNN can be transformed…

人工智能 · 计算机科学 2023-07-12 Pierre Nunn , François Schwarzentruber
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