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Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields. Recently, solving CO problems on graphs through learning methods has attracted great attention.…

Artificial Intelligence · Computer Science 2023-12-20 Ruibin Zeng , Minglong Lei , Lingfeng Niu , Lan Cheng

Accurate chart comprehension represents a critical challenge in advancing multimodal learning systems, as extensive information is compressed into structured visual representations. However, existing vision-language models (VLMs) frequently…

Machine Learning · Computer Science 2026-03-10 Xin Zhang , Xingyu Li , Rongguang Wang , Ruizhong Miao , Zheng Wang , Dan Roth , Chenyang Li

Previous research has sought to enhance the graph reasoning capabilities of LLMs by supervised fine-tuning on synthetic graph data. While these led to specialized LLMs better at solving graph algorithm problems, we don't need LLMs for…

Machine Learning · Computer Science 2025-08-19 Yizhuo Zhang , Heng Wang , Shangbin Feng , Zhaoxuan Tan , Xinyun Liu , Yulia Tsvetkov

The Boolean Satisfiability problem (SAT), as the prototypical $\mathsf{NP}$-complete problem, is crucial in both theoretical computer science and practical applications. To address this problem, stochastic local search (SLS) algorithms,…

Artificial Intelligence · Computer Science 2026-04-17 Maximilian J. Kramer , Paul Boes , Jens Eisert

We present DeepSAT, a novel end-to-end learning framework for the Boolean satisfiability (SAT) problem. Unlike existing solutions trained on random SAT instances with relatively weak supervision, we propose applying the knowledge of the…

Artificial Intelligence · Computer Science 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

The Boolean Satisfiability (SAT) problem stands out as an attractive NP-complete problem in theoretic computer science and plays a central role in a broad spectrum of computing-related applications. Exploiting and tuning SAT solvers under…

Machine Learning · Computer Science 2024-09-25 Weihuang Wen , Tianshu Yu

Despite the recent success of Graph Neural Networks (GNNs), it remains challenging to train GNNs on large-scale graphs due to neighbor explosions. As a remedy, distributed computing becomes a promising solution by leveraging abundant…

Machine Learning · Computer Science 2023-12-12 Guangji Bai , Ziyang Yu , Zheng Chai , Yue Cheng , Liang Zhao

In this paper, we investigate the feasibility of learning GNN (Graph Neural Network) based solvers and GNN-based heuristics for specified QBF (Quantified Boolean Formula) problems. We design and evaluate several GNN architectures for 2QBF…

Artificial Intelligence · Computer Science 2019-04-30 Zhanfu Yang , Fei Wang , Ziliang Chen , Guannan Wei , Tiark Rompf

The Conway-99 problem questions the existence of a strongly regular graph with 99 vertices and specific parameters. A \textit{strongly} regular graph is a regular graph that exhibits two additional properties: vertices must share a fixed…

Logic in Computer Science · Computer Science 2026-04-29 Ali Keramatipour

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

It is feasible and practically-valuable to bridge the characteristics between graph neural networks (GNNs) and logical reasoning. Despite considerable efforts and successes witnessed to solve Boolean satisfiability (SAT), it remains a…

Machine Learning · Computer Science 2019-09-30 Ziliang Chen , Zhanfu Yang

Searching for a path between two nodes in a graph is one of the most well-studied and fundamental problems in computer science. In numerous domains such as robotics, AI, or biology, practitioners develop search heuristics to accelerate…

Machine Learning · Computer Science 2023-01-12 Michal Pándy , Weikang Qiu , Gabriele Corso , Petar Veličković , Rex Ying , Jure Leskovec , Pietro Liò

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

Graph-based tasks in the zero-shot setting remain a significant challenge due to data scarcity and the inability of traditional Graph Neural Networks (GNNs) to generalize to unseen domains or label spaces. While recent advancements have…

Machine Learning · Computer Science 2026-05-22 Fengzhi Li , Liang Zhang , Yuan Zuo , Ruiqing Zhao , YanSong Liu , Yunfei Ma , Fanyu Meng , Junlan Feng

The remarkable achievements of machine learning techniques in analyzing discrete structures have drawn significant attention towards their integration into combinatorial optimization algorithms. Typically, these methodologies improve…

Artificial Intelligence · Computer Science 2024-02-07 Abdelrahman Hosny , Sherief Reda

There has been a recent surge of interest in designing Graph Neural Networks (GNNs) for semi-supervised learning tasks. Unfortunately this work has assumed that the nodes labeled for use in training were selected uniformly at random (i.e.…

Machine Learning · Computer Science 2021-10-28 Qi Zhu , Natalia Ponomareva , Jiawei Han , Bryan Perozzi

In the last decade, the power of the state-of-the-art SAT and Integer Programming solvers has dramatically increased. They implement many new techniques and heuristics and since any NP problem can be converted to SAT or ILP instance, we…

Data Structures and Algorithms · Computer Science 2010-11-25 Rastislav Lenhardt

Modern SAT solvers routinely operate at scales that make it impractical to query a neural network for every branching decision. NeuroCore, proposed by Selsam and Bjorner, offered a proof-of-concept that neural networks can still accelerate…

Logic in Computer Science · Computer Science 2020-07-07 Jesse Michael Han

Training of Relational Graph Convolutional Networks (R-GCN) is a memory intense task. The amount of gradient information that needs to be stored during training for real-world graphs is often too large for the amount of memory available on…

Machine Learning · Computer Science 2022-03-22 Alessandro Generale , Till Blume , Michael Cochez