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We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

Network navigability is a key feature of complex networked systems. For a network embedded in a geometrical space, maximization of greedy routing (GR) measures based on the node geometrical coordinates can ensure efficient greedy…

Physics and Society · Physics 2019-01-24 Alessandro Muscoloni , Carlo Vittorio Cannistraci

We consider the optimal coverage problem where a multi-agent network is deployed in an environment with obstacles to maximize a joint event detection probability. The objective function of this problem is non-convex and no global optimum is…

Optimization and Control · Mathematics 2017-08-15 Xinmiao Sun , Christos G. Cassandras , Xiangyu Meng

We consider a distribution network for delivering a natural resource or physical good to a set of nodes, each of which serves a set of customers, in which disruptions may occur at one or more nodes. Each node receives flow through a path…

Optimization and Control · Mathematics 2025-11-05 Pelin Keşrit , Bahar Çavdar , Joseph Geunes

The goal of this note is to assess whether simple machine learning algorithms can be used to determine whether and how a given network has been attacked. The procedure is based on the $k$-Nearest Neighbor and the Random Forest…

Physics and Society · Physics 2023-08-30 Davide Coppes , Paolo Cermelli

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

Optimization and Control · Mathematics 2022-12-15 Milad Dehghani Filabadi

Motivated by the challenge related to the COVID-19 epidemic and the seek for optimal containment strategies, we present a robustness analysis into an inter-cities mobility complex network. We abstract municipal initiatives as nodes'…

In modern network design, "efficiency" is often conflated with raw performance metrics like latency or aggregate throughput. This paper proposes a resource-centric definition of efficiency, isolating the hardware cost required to maintain a…

Networking and Internet Architecture · Computer Science 2026-01-28 Jia Xu Wei , Wei Wei

Although adversarial examples and model robustness have been extensively studied in the context of linear models and neural networks, research on this issue in tree-based models and how to make tree-based models robust against adversarial…

Machine Learning · Computer Science 2019-06-12 Hongge Chen , Huan Zhang , Duane Boning , Cho-Jui Hsieh

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other outside forces. In a simple setting, we model a network as a…

Combinatorics · Mathematics 2021-07-26 Ashley Armbruster , Jieqi Di , Nicholas Hanson , Nathan Shank

The frustration index is a key measure for analysing signed networks, which has been underused due to its computational complexity. We use an exact optimisation-based method to analyse frustration as a global structural property of signed…

Social and Information Networks · Computer Science 2019-07-23 Samin Aref , Mark C. Wilson

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

Social and Information Networks · Computer Science 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou

We develop some basic principles for the design and robustness analysis of a continuous-time bilinear dynamical network, where an attacker can manipulate the strength of the interconnections/edges between some of the agents/nodes. We…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Arthur Castello B. de Oliveira , Milad Siami , Eduardo D. Sontag

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

One of the intensely studied concepts of network robustness is $r$-robustness, which is a network topology property quantified by an integer $r$. It is required by mean subsequence reduced (MSR) algorithms and their variants to achieve…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Yuhao Yi , Yuan Wang , Xingkang He , Stacy Patterson , Karl H. Johansson

Conventionally, random forests are built from "greedy" decision trees which each consider only one split at a time during their construction. The sub-optimality of greedy implementation has been well-known, yet mainstream adoption of more…

Machine Learning · Computer Science 2021-04-01 Delilah Donick , Sandro Claudio Lera

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

We study robustness verification of neural networks via metric algebraic geometry. For polynomial neural networks, certifying a robustness radius amounts to computing the distance to the algebraic decision boundary. We use the Euclidean…

Machine Learning · Statistics 2026-04-20 Yulia Alexandr , Hao Duan , Guido Montúfar

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana
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