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Cascading failures triggered by trivial initial events are encountered in many complex systems. It is the interaction and coupling between components of the system that causes cascading failures. We propose a simple model to simulate…

Physics and Society · Physics 2014-01-07 Junjian Qi , Shengwei Mei

Many studies in economics deal with the non-reliability cost to assess insurance fees or investment analyses, but none takes into consideration the mechanical aspect of reliability analysis. Other studies in mechanics give some tools and…

Risk Management · Quantitative Finance 2019-12-16 P-J. Tisserand , M. Ragueneau

Given a causal graph representing the data-generating process shared across different domains/distributions, enforcing sufficient graph-implied conditional independencies can identify domain-general (non-spurious) feature representations.…

Machine Learning · Computer Science 2024-04-26 Olawale Salaudeen , Sanmi Koyejo

Parameterized complexity theory offers a framework for a refined analysis of hard algorithmic problems. Instead of expressing the running time of an algorithm as a function of the input size only, running times are expressed with respect to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-18 Sebastian Siebertz , Alexandre Vigny

High-dimensional data analysis typically focuses on low-dimensional structure, often to aid interpretation and computational efficiency. Graphical models provide a powerful methodology for learning the conditional independence structure in…

Methodology · Statistics 2024-09-13 Maria De Iorio , Willem van den Boom , Alexandros Beskos , Ajay Jasra , Andrea Cremaschi

The random matrix theory is used to bridge the network structures and the dynamical processes defined on them. We propose a possible dynamical mechanism for the enhancement effect of network structures on synchronization processes, based…

Statistical Mechanics · Physics 2007-05-23 Huijie Yang , Fangcui Zhao , Binghong Wang

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

To develop a preliminary understanding towards Graph Foundation Models, we study the extent to which pretrained Graph Neural Networks can be applied across datasets, an effort requiring to be agnostic to dataset-specific features and their…

Distributed heterogeneous data sources need to be queried uniformly using global schema. Query on global schema is reformulated so that it can be executed on local data sources. Constraints in global schema and mappings are used for source…

Databases · Computer Science 2010-04-14 Ahmad Kamran Malik , Muhammad Abdul Qadir , Nadeem Iftikhar , Muhammad Usman

Causal diagrams are logic and graphical tools that depict assumptions about presumed causal relations. Such diagrams have proven effective in tackling a variety of problems in social sciences and epidemiology research yet remain foreign to…

Applications · Statistics 2023-06-29 M. Z. Naser

Query answering over probabilistic data is an important task but is generally intractable. However, a new approach for this problem has recently been proposed, based on structural decompositions of input databases, following, e.g., tree…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Silviu Maniu , Mikaël Monet

Recent work has shown that graph neural networks (GNNs) are vulnerable to adversarial attacks on graph data. Common attack approaches are typically informed, i.e. they have access to information about node attributes such as labels and…

Machine Learning · Computer Science 2021-07-29 Hussain Hussain , Tomislav Duricic , Elisabeth Lex , Denis Helic , Markus Strohmaier , Roman Kern

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

Cyberattacks on enterprise networks exploit complex dependencies among infrastructure, services, and applications, which challenge traditional analysis methods that focus on attack paths or network topology in isolation. In this study, we…

Cryptography and Security · Computer Science 2026-05-27 Joni Herttuainen , Vesa Kuikka , Kimmo K. Kaski

In a world that constantly changes, it is crucial to understand how those changes impact different systems, such as industrial manufacturing or critical infrastructure. Explaining critical changes, referred to as concept drift in the field…

Machine Learning · Computer Science 2025-10-14 David Komnick , Kathrin Lammers , Barbara Hammer , Valerie Vaquet , Fabian Hinder

Causal inference, a critical tool for informing business decisions, traditionally relies heavily on structured data. However, in many real-world scenarios, such data can be incomplete or unavailable. This paper presents a framework that…

Machine Learning · Computer Science 2026-02-17 Boning Zhou , Ziyu Wang , Han Hong , Haoqi Hu

A graph is a structure composed of a set of vertices (i.e.nodes, dots) connected to one another by a set of edges (i.e.links, lines). The concept of a graph has been around since the late 19$^\text{th}$ century, however, only in recent…

Data Structures and Algorithms · Computer Science 2010-12-24 Marko A. Rodriguez , Peter Neubauer

We introduce a new compositional framework for generalized variational inference, clarifying the different parts of a model, how they interact, and how they compose. We explain that both exact Bayesian inference and the loss functions…

Machine Learning · Statistics 2025-03-26 Toby St Clere Smithe , Marco Perin

The flow of information through a complex system can be readily understood with category theory. However, negative information (e.g., what is not possible) does not have an immediately evident categorical representation. The formalization…

Category Theory · Mathematics 2024-06-27 Vincent Abbott , Gioele Zardini

Graph neural networks (GNNs) appear to be powerful tools to learn state representations for agents in distributed, decentralized multi-agent systems, but generate catastrophically incorrect predictions when nodes update asynchronously…

Machine Learning · Computer Science 2025-07-23 Olga Solodova , Nick Richardson , Deniz Oktay , Ryan P. Adams
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