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We consider the population dynamics of a set of species whose network of catalytic interactions is described by a directed graph. The relationship between the attractors of this dynamics and the underlying graph theoretic structures like…

adap-org · Physics 2009-10-30 Sanjay Jain , Sandeep Krishna

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

Effective control requires knowledge of the process dynamics to guide the system toward desired states. In many control applications this knowledge is expressed mathematically or through data-driven models, however, as complexity grows…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Joseph Park , George Sugihara , Gerald Pao

We recently introduced a formalism for the modeling of temporal networks, that we call stream graphs. It emphasizes the streaming nature of data and allows rigorous definitions of many important concepts generalizing classical graphs. This…

Social and Information Networks · Computer Science 2021-11-24 Matthieu Latapy , Clémence Magnien , Tiphaine Viard

Control parallelism and data parallelism is mostly reasoned and optimized as separate functions. Because of this, workloads that are irregular, fine-grain and dynamic such as dynamic graph processing become very hard to scale. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-08 Bibrak Qamar Chandio , Thomas Sterling , Prateek Srivastava

The increasing scale of alternating current and direct current (AC/DC) hybrid systems necessitates a faster power flow analysis tool than ever. This letter thus proposes a specific physics-guided graph neural network (PG-GNN). The tailored…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Mei Yang , Gao Qiu , Yong Wu , Junyong Liu , Nina Dai , Yue Shui , Kai Liu , Lijie Ding

The proposed approach yields a numerical method that provably executes in linear time with respect to the number of nodes and edges in a graph. The graph, constructed from the power system model, requires only knowledge of the dependencies…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Akhila Kandivalasa , Marcos Netto

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

Our simulation-based experiments are aimed to demonstrate a use case on the feasibility of fulfillment of global energy demand by primarily relying on solar energy through the integration of a longitudinally-distributed grid. These…

Computers and Society · Computer Science 2022-06-14 Harsh Vardhan , Neal M Sarkar , Himanshu Neema

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although CNNs have excelled in many vision tasks, they are still limited in capturing long-range structured relationships as they typically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Li Zhang , Dan Xu , Anurag Arnab , Philip H. S. Torr

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Data-driven state estimation (SE) is becoming increasingly important in modern power systems, as it allows for more efficient analysis of system behaviour using real-time measurement data. This paper thoroughly evaluates a phasor…

Machine Learning · Computer Science 2023-03-03 Ognjen Kundacina , Gorana Gojic , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

In this work, we propose an end-to-end graph network that learns forward and inverse models of particle-based physics using interpretable inductive biases. Physics-informed neural networks are often engineered to solve specific problems…

Machine Learning · Computer Science 2022-02-01 Sakthi Kumar Arul Prakash , Conrad Tucker

Machine learning models often require large datasets and struggle to generalize beyond their training distribution. These limitations pose significant challenges in scientific and engineering contexts, where generating exhaustive datasets…

Chemical Physics · Physics 2025-06-12 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Given that observational and numerical climate data are being produced at ever more prodigious rates, increasingly sophisticated and automated analysis techniques have become essential. Deep learning is quickly becoming a standard approach…

Fluid Dynamics · Physics 2017-09-12 A. Rupe , J. P. Crutchfield , K. Kashinath , Prabhat

In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear…

Machine Learning · Computer Science 2025-09-09 Priodyuti Pradhan , Amit Reza

The increasing complexity of cascading risks in urban systems necessitates robust, data-driven frameworks to model interdependencies across multiple domains. This study presents a foundational Bayesian network-based approach for analyzing…

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

Machine Learning · Computer Science 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

Social and Information Networks · Computer Science 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek
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