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This paper presents a multiscale graph construction method using both graph and signal features. Multiscale graph is a hierarchical representation of the graph, where a node at each level indicates a cluster in a finer resolution. To obtain…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Reina Kaneko , Hayate Kojima , Kenta Yanagiya , Junya Hara , Hiroshi Higashi , Yuichi Tanaka

Vertex coloring of a graph $G$ with $n$-colors can be equivalently thought to be a graph homomorphism (edge preserving vertex mapping) of $G$ to the complete graph $K_n$ of order $n$. So, in that sense, the chromatic number $\chi(G)$ of $G$…

Combinatorics · Mathematics 2015-08-27 Julien Bensmail , Christopher Duffy , Sagnik Sen

Image analysis using more than one modality (i.e. multi-modal) has been increasingly applied in the field of biomedical imaging. One of the challenges in performing the multimodal analysis is that there exist multiple schemes for fusing the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-19 Zhe Guo , Xiang Li , Heng Huang , Ning Guo , Quanzheng Li

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

Intelligent fault diagnosis has become an indispensable technique for ensuring machinery reliability. However, existing methods suffer significant performance decline in real-world scenarios where models are tested under unseen working…

Artificial Intelligence · Computer Science 2026-01-01 Pengcheng Xia , Yixiang Huang , Chengjin Qin , Chengliang Liu

This paper presents a software-based technique to recover control-flow errors in multithreaded programs. Control-flow error recovery is achieved through inserting additional instructions into multithreaded program at compile time regarding…

Programming Languages · Computer Science 2016-07-27 Navid Khoshavi , Mohammad Maghsoudloo , Hamid R. Zarandi

Percolation is an emblematic model to assess the robustness of interconnected systems when some of their components are corrupted. It is usually investigated in simple scenarios, such as the removal of the system's units in random order, or…

Statistical Mechanics · Physics 2021-05-03 Oriol Artime , Manlio De Domenico

We define an analytic version of the graph property testing problem, which can be formulated as studying an unknown 2-variable symmetric function through sampling from its domain and studying the random graph obtained when using the…

Combinatorics · Mathematics 2008-03-11 Laszlo Lovasz , Balazs Szegedy

Graph convolutional networks have made great progress in graph-based semi-supervised learning. Existing methods mainly assume that nodes connected by graph edges are prone to have similar attributes and labels, so that the features smoothed…

Machine Learning · Computer Science 2022-06-13 Yating Ren , Junzhong Ji , Lingfeng Niu , Minglong Lei

This paper proposes a novel graph-based framework for robust and interpretable multiclass fault diagnosis in rotating machinery. The method integrates entropy-optimized signal segmentation, time-frequency feature extraction, and…

Artificial Intelligence · Computer Science 2025-08-08 Moirangthem Tiken Singh

Fault detection has a long tradition: the necessity to provide the most accurate diagnosis possible for a process plant criticality is somehow intrinsic in its functioning. Continuous monitoring is a possible way for early detection.…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Martina Teruzzi , Nicola Demo , Gianluigi Rozza

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

The GRAPH MOTIF problem asks whether a given multiset of colors appears on a connected subgraph of a vertex-colored graph. The fastest known parameterized algorithm for this problem is based on a reduction to the $k$-Multilinear Detection…

Data Structures and Algorithms · Computer Science 2012-08-24 Ioannis Koutis

In this paper we address the problem of change detection in multi-spectral images by proposing a data-driven framework of graph-based data fusion. The main steps of the proposed approach are: (i) The generation of a multi-temporal pixel…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 David Alejandro Jimenez Sierra , Hernán Darío Benítez Restrepo , Hernán Darío Vargas Cardonay , Jocelyn Chanussot

We address the problem of un-supervised soft-clustering called micro-clustering. The aim of the problem is to enumerate all groups composed of records strongly related to each other, while standard clustering methods separate records at…

Data Structures and Algorithms · Computer Science 2016-06-07 Takeaki Uno , Hiroki Maegawa , Takanobu Nakahara , Yukinobu Hamuro , Ryo Yoshinaka , Makoto Tatsuta

Machine Learning (ML) is more than just training models, the whole workflow must be considered. Once deployed, a ML model needs to be watched and constantly supervised and debugged to guarantee its validity and robustness in unexpected…

Machine Learning · Computer Science 2021-11-05 Gusseppe Bravo-Rocca , Peini Liu , Jordi Guitart , Ajay Dholakia , David Ellison , Jeffrey Falkanger , Miroslav Hodak

A hole in a graph is a chordless cycle of length at least 4. A theta is a graph formed by three paths between the same pair of distinct vertices so that the union of any two of the paths induces a hole. A wheel is a graph formed by a hole…

Combinatorics · Mathematics 2023-10-23 Marko Radovanović , Nicolas Trotignon , Kristina Vušković

This paper proposes a new algorithm for simultaneous graph matching and clustering. For the first time in the literature, these two problems are solved jointly and synergetically without relying on any training data, which brings advantages…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Maximilian Krahn , Florian Bernard , Vladislav Golyanik

Anomaly detection is defined as discovering patterns that do not conform to the expected behavior. Previously, anomaly detection was mostly conducted using traditional shallow learning techniques, but with little improvement. As the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Zhiyuan Liu , Chunjie Cao , Jingzhang Sun

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser