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Many machine learning techniques have been proposed in the last few years to process data represented in graph-structured form. Graphs can be used to model several scenarios, from molecules and materials to RNA secondary structures. Several…

Machine Learning · Computer Science 2018-11-19 Nicolò Navarin , Dinh V. Tran , Alessandro Sperduti

In the Feedback Vertex Set problem, one is given an undirected graph $G$ and an integer $k$, and one needs to determine whether there exists a set of $k$ vertices that intersects all cycles of $G$ (a so-called feedback vertex set). Feedback…

Data Structures and Algorithms · Computer Science 2019-11-04 Jason Li , Jesper Nederlof

In this paper, we revisit the limitations of anchor-based lane detection methods, which have predominantly focused on fixed anchors that stem from the edges of the image, disregarding their versatility and quality. To overcome the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Lingyu Xiao , Xiang Li , Sen Yang , Wankou Yang

Pregel's vertex-centric model allows us to implement many interesting graph algorithms, where optimization plays an important role in making it practically useful. Although many optimizations have been developed for dealing with different…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Yongzhe Zhang , Zhenjiang Hu

Shape matching has been a long-studied problem for the computer graphics and vision community. The objective is to predict a dense correspondence between meshes that have a certain degree of deformation. Existing methods either consider the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-04 Mahdi Saleh , Shun-Cheng Wu , Luca Cosmo , Nassir Navab , Benjamin Busam , Federico Tombari

Effective search for graph automorphisms allows identifying symmetries in many discrete structures, ranging from chemical molecules to microprocessor circuits. Using this type of structure can enhance visualization as well as speed up…

Data Structures and Algorithms · Computer Science 2012-08-31 Hadi Katebi , Karem A. Sakallah , Igor L. Markov

Preconditioning is at the heart of iterative solutions of large, sparse linear systems of equations in scientific disciplines. Several algebraic approaches, which access no information beyond the matrix itself, are widely studied and used,…

Numerical Analysis · Mathematics 2025-01-28 Jie Chen

Answer Set Programming (ASP) is a purely declarative formalism developed in the field of logic programming and nonmonotonic reasoning: computational problems are encoded by logic programs whose answer sets, corresponding to solutions, are…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Simona Perri , Jessica Zangari

Complex Table Question Answering involves providing accurate answers to specific questions based on intricate tables that exhibit complex layouts and flexible header locations. Despite considerable progress having been made in the LLM era,…

Computation and Language · Computer Science 2024-12-03 Qianlong Li , Chen Huang , Shuai Li , Yuanxin Xiang , Deng Xiong , Wenqiang Lei

Kernelization investigates exact preprocessing algorithms with performance guarantees. The most prevalent type of parameters used in kernelization is the solution size for optimization problems; however, also structural parameters have been…

Data Structures and Algorithms · Computer Science 2015-07-21 Eduard Eiben , Robert Ganian , Stefan Szeider

In our paper, we consider the following general problems: check feasibility, count the number of feasible solutions, find an optimal solution, and count the number of optimal solutions in $P \cap Z^n$, assuming that $P$ is a polyhedron,…

Computational Complexity · Computer Science 2024-01-23 Dmitry Gribanov , Dmitry Malyshev , Nikolai Zolotykh

Though the transformer architectures have shown dominance in many natural language understanding tasks, there are still unsolved issues for the training of transformer models, especially the need for a principled way of warm-up which has…

Computation and Language · Computer Science 2021-06-01 Wei Zhu , Xiaoling Wang , Xipeng Qiu , Yuan Ni , Guotong Xie

The feedback arc (vertex) set problem, shortened FASP (FVSP), is to transform a given multi digraph $G=(V,E)$ into an acyclic graph by deleting as few arcs (vertices) as possible. Due to the results of Richard M. Karp in 1972 it is one of…

Discrete Mathematics · Computer Science 2017-02-27 Michael Hecht

Graph convolutional networks (GCNs) have achieved great success in dealing with data of non-Euclidean structures. Their success directly attributes to fitting graph structures effectively to data such as in social media and knowledge…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Boyan Xu , Hujun Yin

The ability to think abstractly and reason by analogy is a prerequisite to rapidly adapt to new conditions, tackle newly encountered problems by decomposing them, and synthesize knowledge to solve problems comprehensively. We present…

Artificial Intelligence · Computer Science 2024-10-08 Jakub Bednarek , Krzysztof Krawiec

Enabling large language models (LLMs) to effectively process and reason with graph-structured data remains a significant challenge despite their remarkable success in natural language tasks. Current approaches either convert graph…

Artificial Intelligence · Computer Science 2025-09-03 Yanbiao Ji , Chang Liu , Xin Chen , Dan Luo , Mei Li , Yue Ding , Wenqing Lin , Hongtao Lu

Pre-trained Transformer-based models have achieved state-of-the-art performance for various Natural Language Processing (NLP) tasks. However, these models often have billions of parameters, and, thus, are too resource-hungry and…

Machine Learning · Computer Science 2021-09-29 Prakhar Ganesh , Yao Chen , Xin Lou , Mohammad Ali Khan , Yin Yang , Hassan Sajjad , Preslav Nakov , Deming Chen , Marianne Winslett

The currently most efficient algorithm for inference with a probabilistic network builds upon a triangulation of a network's graph. In this paper, we show that pre-processing can help in finding good triangulations forprobabilistic…

Artificial Intelligence · Computer Science 2013-01-14 Hans L. Bodlaender , Arie M. C. A. Koster , Frank van den Eijkhof , Linda C. van der Gaag

Graph-based data structures have drawn great attention in recent years. The large and rapidly growing trend on developing graph processing systems focuses mostly on improving the performance by preprocessing the input graph and modifying…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-10 Morteza Ramezani , Mahmut T. Kandemir , Anand Sivasubramaniam

Classical Transformer-based line segment detection methods have delivered impressive results. However, we observe that some accurately detected line segments are assigned low confidence scores during prediction, causing them to be ranked…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Xin Tong , Shi Peng , Baojie Tian , Yufei Guo , Xuhui Huang , Zhe Ma
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