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We consider supervised learning problems where the features are embedded in a graph, such as gene expressions in a gene network. In this context, it is of much interest to automatically select a subgraph with few connected components; by…

Machine Learning · Statistics 2013-09-20 Julien Mairal , Bin Yu

The shortest path problem in graphs is fundamental to AI. Nearly all variants of the problem and relevant algorithms that solve them ignore edge-weight computation time and its common relation to weight uncertainty. This implies that taking…

Data Structures and Algorithms · Computer Science 2024-03-29 Eyal Weiss , Ariel Felner , Gal A. Kaminka

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized framework for weighted directed graphs, where edge weight can be…

Data Structures and Algorithms · Computer Science 2024-02-20 Eyal Weiss , Ariel Felner , Gal A. Kaminka

The basic (and traditional) crossing number problem is to determine the minimum number of crossings in a topological drawing of an input graph in the plane. We develop a unified framework yielding fixed-parameter tractable (FPT) algorithms…

Computational Geometry · Computer Science 2026-05-07 Éric Colin de Verdière , Petr Hliněný

Recently we presented the first algorithm for maintaining the set of nodes reachable from a source node in a directed graph that is modified by edge deletions with $o(mn)$ total update time, where $m$ is the number of edges and $n$ is the…

Data Structures and Algorithms · Computer Science 2016-12-13 Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

We implemented and evaluated an automated cyber defense agent. The agent takes security alerts as input and uses reinforcement learning to learn a policy for executing predefined defensive measures. The defender policies were trained in an…

Cryptography and Security · Computer Science 2023-04-24 Jakob Nyberg , Pontus Johnson

We present a general framework of designing efficient dynamic approximate algorithms for optimization on undirected graphs. In particular, we develop a technique that, given any problem that admits a certain notion of vertex sparsifiers,…

Data Structures and Algorithms · Computer Science 2020-05-06 Li Chen , Gramoz Goranci , Monika Henzinger , Richard Peng , Thatchaphol Saranurak

Graph classification is crucial in network analyses. Networks face potential security threats, such as adversarial attacks. Some defense methods may trade off the algorithm complexity for robustness, such as adversarial training, whereas…

Machine Learning · Computer Science 2023-02-07 Jinyin Chen , Haiyang Xiong , Haibin Zhenga , Dunjie Zhang , Jian Zhang , Mingwei Jia , Yi Liu

Graph convolutional networks (GCNs) have been shown to be vulnerable to small adversarial perturbations, which becomes a severe threat and largely limits their applications in security-critical scenarios. To mitigate such a threat,…

Machine Learning · Computer Science 2023-08-15 Jintang Li , Jie Liao , Ruofan Wu , Liang Chen , Zibin Zheng , Jiawang Dan , Changhua Meng , Weiqiang Wang

Federated graph learning (FedGL) is an emerging federated learning (FL) framework that extends FL to learn graph data from diverse sources. FL for non-graph data has shown to be vulnerable to backdoor attacks, which inject a shared backdoor…

Cryptography and Security · Computer Science 2024-07-15 Yuxin Yang , Qiang Li , Jinyuan Jia , Yuan Hong , Binghui Wang

Cyber Threat hunting is a proactive search for known attack behaviors in the organizational information system. It is an important component to mitigate advanced persistent threats (APTs). However, the attack behaviors recorded in…

Cryptography and Security · Computer Science 2021-04-21 Renzheng Wei , Lijun Cai , Aimin Yu , Dan Meng

Graph neural networks (GNNs) which apply the deep neural networks to graph data have achieved significant performance for the task of semi-supervised node classification. However, only few work has addressed the adversarial robustness of…

Machine Learning · Computer Science 2019-10-16 Kaidi Xu , Hongge Chen , Sijia Liu , Pin-Yu Chen , Tsui-Wei Weng , Mingyi Hong , Xue Lin

Adversarial attacks to graph analytics are gaining increased attention. To date, two lines of countermeasures have been proposed to resist various graph adversarial attacks from the perspectives of either graph per se or graph neural…

Machine Learning · Computer Science 2025-05-21 Xinxin Fan , Wenxiong Chen , Mengfan Li , Wenqi Wei , Ling Liu

Traditionally, wireless network protocols have been designed for performance. Subsequently, as attacks have been identified, patches have been developed. This has resulted in an "arms race" development process of discovering vulnerabilities…

Networking and Internet Architecture · Computer Science 2013-09-12 Jonathan Ponniah , Yih-Chun Hu , P. R. Kumar

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

We study algorithmic questions for concurrent systems where the transitions are labeled from a complete, closed semiring, and path properties are algebraic with semiring operations. The algebraic path properties can model dataflow analysis…

Programming Languages · Computer Science 2015-11-27 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

In the graph stream model of computation, an algorithm processes the edges of an input graph in one or more sequential passes while using a memory sublinear in the input size. This model poses significant challenges for constructing long…

Data Structures and Algorithms · Computer Science 2025-08-25 Christian Konrad , Chhaya Trehan

This paper addresses the security allocation problem in a networked control system under stealthy injection attacks. The networked system is comprised of interconnected subsystems which are represented by nodes in a digraph. An adversary…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

Stealthy attacks are a major cyber-security threat. In practice, both attackers and defenders have resource constraints that could limit their capabilities. Hence, to develop robust defense strategies, a promising approach is to utilize…

Computer Science and Game Theory · Computer Science 2019-10-22 Ming Zhang , Zizhan Zheng , Ness B. Shroff

In this paper, we give approximation algorithms for the \textsc{Minimum Dominating Set (MDS)} problem on \emph{string} graphs and its subclasses. A \emph{path} is a simple curve made up of alternating horizontal and vertical line segments.…

Discrete Mathematics · Computer Science 2018-10-02 Dibyayan Chakraborty , Sandip Das , Joydeep Mukherjee