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For many tracking and surveillance applications, background subtraction provides an effective means of segmenting objects moving in front of a static background. Researchers have traditionally used combinations of morphological operations…

Computer Vision and Pattern Recognition · Computer Science 2014-11-17 Nicholas R. Howe , Alexandra Deschamps

Graph-based retrieval-augmented generation (Graph RAG) is increasingly deployed to support LLM applications by augmenting user queries with structured knowledge retrieved from a knowledge graph. While Graph RAG improves relational…

Cryptography and Security · Computer Science 2026-02-09 Minkyoo Song , Jaehan Kim , Myungchul Kang , Hanna Kim , Seungwon Shin , Sooel Son

We describe defense mechanisms designed to detect sophisticated grid attacks involving both physical actions (including load modification) and sensor output alteration, with the latter performed in a sparse manner and also so as to take…

Optimization and Control · Mathematics 2020-07-22 Daniel Bienstock , Mauro Escobar

We investigate a fundamental vertex-deletion problem called (Induced) Subgraph Hitting: given a graph $G$ and a set $\mathcal{F}$ of forbidden graphs, the goal is to compute a minimum-sized set $S$ of vertices of $G$ such that $G-S$ does…

Data Structures and Algorithms · Computer Science 2023-12-05 Zdeněk Dvořák , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh , Jie Xue , Meirav Zehavi

Adversarial attacks involve adding, small, often imperceptible, perturbations to inputs with the goal of getting a machine learning model to misclassifying them. While many different adversarial attack strategies have been proposed on image…

Computer Vision and Pattern Recognition · Computer Science 2018-06-01 Avishek Joey Bose , Parham Aarabi

Cell formation is a critical step in the design of cellular manufacturing systems. Recently, it was tackled using a cut-based-graph-partitioning model. This model meets real-life production systems requirements as it uses the actual amount…

Discrete Mathematics · Computer Science 2016-12-19 Boulif Menouar

The need to identify graphs with small structural distances from a query arises in domains such as biology, chemistry, recommender systems, and social network analysis. Among several methods for measuring inter-graph distance, Graph Edit…

Machine Learning · Computer Science 2025-09-30 Aditya Bommakanti , Harshith Reddy Vonteri , Sayan Ranu , Panagiotis Karras

We present two new and efficient algorithms for computing all-pairs shortest paths. The algorithms operate on directed graphs with real (possibly negative) weights. They make use of directed path consistency along a vertex ordering d. Both…

Data Structures and Algorithms · Computer Science 2014-01-21 Léon R. Planken , Mathijs M. de Weerdt , Roman P. J. van der Krogt

Controllability is one of the central concepts of modern control theory that allows a good understanding of a system's behaviour. It consists in constraining a system to reach the desired state from an initial state within a given time…

Cellular Automata and Lattice Gases · Physics 2024-03-07 Sara Dridi , Samira El Yacoubi , Franco Bagnoli , Allyx Fontaine

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

Numerical Analysis · Mathematics 2021-01-25 Junyuan Lin , Guangpeng Ren

A modified version of the Dijkstra algorithm using an inventive contraction hierarchy is proposed. The algorithm considers a directed acyclic graph with a conical or semi-circular structure for which a pair of edges is chosen iteratively…

Data Structures and Algorithms · Computer Science 2015-03-20 Ugochi A. Okengwu , Enoch O. Nwachukwu , Emmanuel N. Osegi

Recent studies have shown that attackers can catastrophically reduce the performance of GNNs by maliciously modifying the graph structure or node features on the graph. Adversarial training, which has been shown to be one of the most…

Machine Learning · Computer Science 2023-12-11 Xiaobing Pei , Haoran Yang , Gang Shen

Graph neural networks (GNNs) have shown broad applicability in a variety of domains. These domains, e.g., social networks and product recommendations, are fertile ground for malicious users and behavior. In this paper, we show that GNNs are…

Machine Learning · Computer Science 2022-09-30 Ben Finkelshtein , Chaim Baskin , Evgenii Zheltonozhskii , Uri Alon

Graph Neural Networks (GNNs) have achieved notable success in tasks such as social and transportation networks. However, recent studies have highlighted the vulnerability of GNNs to backdoor attacks, raising significant concerns about their…

Machine Learning · Computer Science 2025-10-21 Chang Liu , Hai Huang , Yujie Xing , Xingquan Zuo

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

Numerical Analysis · Mathematics 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

Given a directed graph $G$ with arbitrary real-valued weights, the single source shortest-path problem (SSSP) asks for, given a source $s$ in $G$, finding a shortest path from $s$ to each vertex $v$ in $G$. A classical SSSP algorithm…

Data Structures and Algorithms · Computer Science 2019-03-06 Sanjiang Li , Yongming Li

In scientific visualization, scalar fields are often compared through edit distances between their merge trees. Typical tasks include ensemble analysis, feature tracking and symmetry or periodicity detection. Tree edit distances represent…

Computational Geometry · Computer Science 2024-02-20 Florian Wetzels , Christoph Garth

The aim of edge editing or modification problems is to change a given graph by adding and deleting of a small number of edges in order to satisfy a certain property. We consider the Edge Editing to a Connected Graph of Given Degrees problem…

Data Structures and Algorithms · Computer Science 2014-06-05 Petr A. Golovach

Graph recommendation systems have been widely studied due to their ability to effectively capture the complex interactions between users and items. However, these systems also exhibit certain vulnerabilities when faced with attacks. The…

Artificial Intelligence · Computer Science 2025-06-11 Runze Li , Di Jin , Xiaobao Wang , Dongxiao He , Bingdao Feng , Zhen Wang

Many fixed-parameter tractable algorithms using a bounded search tree have been repeatedly improved, often by describing a larger number of branching rules involving an increasingly complex case analysis. We introduce a novel and general…

Discrete Mathematics · Computer Science 2015-05-19 James Nastos , Yong Gao