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Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Large-scale unconstrained optimization is a fundamental and important class of, yet not well-solved problems in numerical optimization. The main challenge in designing an algorithm is to require a few storage locations or very inexpensive…

Optimization and Control · Mathematics 2020-01-24 Zheng Li , Shi Shu , Jian-Ping Zhang

This paper presents the results of an experimental study of graph partitioning. We describe a new heuristic technique, path optimization, and its application to two variations of graph partitioning: the max_cut problem and the…

Combinatorics · Mathematics 2016-09-06 Jonathan Berry , Mark Goldberg

Many problems in robotics involve both continuous and discrete components, and modeling them together for estimation tasks has been a long standing and difficult problem. Hybrid Factor Graphs give us a mathematical framework to model these…

Robotics · Computer Science 2026-05-04 Varun Agrawal , Frank Dellaert

As an approximate nearest neighbor search technique, hashing has been widely applied in large-scale image retrieval due to its excellent efficiency. Most supervised deep hashing methods have similar loss designs with embedding learning,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Shen Chen , Liujuan Cao , Mingbao Lin , Yan Wang , Xiaoshuai Sun , Chenglin Wu , Jingfei Qiu , Rongrong Ji

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

Reducing the running time of graph algorithms is vital for tackling real-world problems such as shortest paths and matching in large-scale graphs, where path information plays a crucial role. To address this critical challenge, this paper…

Data Structures and Algorithms · Computer Science 2026-04-14 Akshar Chavan , Sanaz Rabinia , Daniel Grosu , Marco Brocanelli

Searching on bipartite graphs is basal and versatile to many real-world Web applications, e.g., online recommendation, database retrieval, and query-document searching. Given a query node, the conventional approaches rely on the similarity…

Information Retrieval · Computer Science 2023-04-04 Yankai Chen , Yixiang Fang , Yifei Zhang , Irwin King

In this paper we show how graph structure can be used to drastically reduce the computational bottleneck of the Breadth First Search algorithm (the foundation of many graph traversal techniques). In particular, we address parallel…

Data Structures and Algorithms · Computer Science 2015-11-30 Damien Fay

The Maximum Common Subgraph (MCS) problem plays a key role in many applications, including cheminformatics, bioinformatics, and pattern recognition, where it is used to identify the largest shared substructure between two graphs. Although…

Data Structures and Algorithms · Computer Science 2026-03-25 Buddhi Kothalawala , Henning Koehler , Muhammad Farhan

Finding maximum-weight independent sets in graphs is an important NP-hard optimization problem. Given a vertex-weighted graph $G$, the task is to find a subset of pairwise non-adjacent vertices of $G$ with maximum weight. Most recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-16 Jannick Borowitz , Ernestine Großmann , Mattthias Schimek

A matching cut is a partition of the vertex set of a graph into two sets $A$ and $B$ such that each vertex has at most one neighbor in the other side of the cut. The MATCHING CUT problem asks whether a graph has a matching cut, and has been…

Data Structures and Algorithms · Computer Science 2019-05-09 Guilherme C. M. Gomes , Ignasi Sau

Ray tracing is an efficient channel modeling method. However, the traditional ray tracing method has high computation complexity. To solve this problem, an improved bounding volume hierarchies (BVH) algorithm is proposed in this paper.…

Signal Processing · Electrical Eng. & Systems 2022-08-23 Chen Wang , Yinghua Wang , Yuxiao Li , Jialing Huang , Jie Huang , Cheng-Xiang Wang

Beyond-diagonal reconfigurable intelligent surfaces (BD-RISs) significantly improve wireless performance by allowing tunable interconnections among elements, but their design in multiple-input multiple-output (MIMO) systems has so far…

Signal Processing · Electrical Eng. & Systems 2026-04-13 Ignacio Santamaria , Mohammad Soleymani , Jesus Gutierrez , Eduard Jorswieck

We study a natural extension of the Maximum Weight Independent Set Problem (MWIS), one of the most studied optimization problems in Graph algorithms. We are given a graph $G=(V,E)$, a weight function $w: V \rightarrow \mathbb{R^+}$, a…

Data Structures and Algorithms · Computer Science 2014-09-30 Sayan Bandyapadhyay

Binary semantic segmentation in computer vision is a fundamental problem. As a model-based segmentation method, the graph-cut approach was one of the most successful binary segmentation methods thanks to its global optimality guarantee of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Hui Xie , Weiyu Xu , Ya Xing Wang , John Buatti , Xiaodong Wu

Log-linear models are arguably the most successful class of graphical models for large-scale applications because of their simplicity and tractability. Learning and inference with these models require calculating the partition function,…

Machine Learning · Statistics 2017-03-16 Ryan Spring , Anshumali Shrivastava

Partitioning is a known problem in computer science and is critical in chip design workflows, as advancements in this area can significantly influence design quality and efficiency. Deep Learning (DL) techniques, particularly those…

Hardware Architecture · Computer Science 2024-09-04 Muhammad Hadir Khan , Bugra Onal , Eren Dogan , Matthew R. Guthaus

Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the partition components. A relaxed formulation is identified…

Optimization and Control · Mathematics 2016-03-29 Braxton Osting , Chris D. White , Edouard Oudet
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