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We provide an overview of high dimensional dynamical systems driven by random matrices, focusing on applications to simple models of learning and generalization in machine learning theory. Using both cavity method arguments and path…

Disordered Systems and Neural Networks · Physics 2026-01-12 Blake Bordelon , Cengiz Pehlevan

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

Since it was first applied to the study of nuclear interactions by Wigner and Dyson, almost 60 years ago, Random Matrix Theory (RMT) has developed into a field of its own within applied mathematics, and is now essential to many parts of…

Exactly Solvable and Integrable Systems · Physics 2008-06-10 Mark Mineev-Weinstein , Mihai Putinar , Razvan Teodorescu

Energy and pollution are urging problems of the 21th century. By gradually changing the actual power grid system, smart grid may evolve into different systems by means of size, elements and strategies, but its fundamental requirements and…

Optimization and Control · Mathematics 2025-12-19 Soufian Ben Amor , Alain Bui , Guillaume Guerard

In the Smart Grid environment, the advent of intelligent measuring devices facilitates monitoring appliance electricity consumption. This data can be used in applying Demand Response (DR) in residential houses through data analytics, and…

Signal Processing · Electrical Eng. & Systems 2020-08-10 Abdelkareem Jaradat , Hanan Lutfiyya , Anwar Haque

Anomaly detection in smart power grids is a critical challenge due to the complexity, heterogeneity, and dynamic nature of sensor data streams. Existing one-class classification methods, particularly Subspace Support Vector Data Description…

Machine Learning · Computer Science 2026-04-24 Thomas Debelle , Fahad Sohrab , Pekka Abrahamsson , Moncef Gabbouj

We have witnessed an exponential growth in commercial data services, which has lead to the 'big data era'. Machine learning, as one of the most promising artificial intelligence tools of analyzing the deluge of data, has been invoked in…

Networking and Internet Architecture · Computer Science 2019-12-16 Yuanwei Liu , Suzhi Bi , Zhiyuan Shi , Lajos Hanzo

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

A novel wide-area control design is presented to mitigate inter-area power frequency oscillations. A large-scale power system is decomposed into a network of passivity-short subsystems whose nonlinear interconnections have a state-dependent…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Ying Xu , Zhihua Qu , Roland Harvey , Toru Namerikawa

Currently, the world is witnessing a mounting avalanche of data due to the increasing number of mobile network subscribers, Internet websites, and online services. This trend is continuing to develop in a quick and diverse manner in the…

Networking and Internet Architecture · Computer Science 2018-02-12 Mohammed S. Hadi , Ahmed Q. Lawey , Taisir E. H. El-Gorashi , Jaafar M. H. Elmirghani

Matrix reordering is a task to permute the rows and columns of a given observed matrix such that the resulting reordered matrix shows meaningful or interpretable structural patterns. Most existing matrix reordering techniques share the…

Machine Learning · Statistics 2026-02-17 Chihiro Watanabe , Taiji Suzuki

Big data present new opportunities for modern society while posing challenges for data scientists. Recent advancements in sensor networks and the widespread adoption of IoT have led to the collection of physical-sensor data on an enormous…

Information Retrieval · Computer Science 2025-01-23 Zhipeng Ma , Bo Nørregaard Jørgensen , Zheng Grace Ma

The number of end devices that use the last mile wireless connectivity is dramatically increasing with the rise of smart infrastructures and require reliable functioning to support smooth and efficient business processes. To efficiently…

Machine Learning · Computer Science 2022-02-21 Blaž Bertalanič , Marko Meža , Carolina Fortuna

This paper introduces an innovative design for robotic operating platforms, underpinned by a transformative Internet of Things (IoT) architecture, seamlessly integrating cutting-edge technologies such as large language models (LLMs),…

Networking and Internet Architecture · Computer Science 2025-07-01 Huiwen Han

Large language models and deep neural networks achieve strong performance but suffer from reliability issues and high computational cost. This thesis proposes a unified framework based on spectral geometry and random matrix theory to…

Machine Learning · Computer Science 2026-01-27 Davide Ettori

Grid superscheduling requires support for efficient and scalable discovery of resources. Resource discovery activities involve searching for the appropriate resource types that match the user's job requirements. To accomplish this goal, a…

Networking and Internet Architecture · Computer Science 2007-05-23 Rajiv Ranjan , Aaron Harwood , Rajkumar Buyya

Machine-type-communications (MTC) are being crucial in the development of next generation mobile networks. Given that MTC devices are usually battery constrained, wireless power transfer (WPT) and energy harvesting (EH) have emerged as…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Sergi Liesegang , Olga Muñoz-Medina , Antonio Pascual-Iserte

Most of the real world complex networks such as the Internet, World Wide Web and collaboration networks are huge; and to infer their structure and dynamics one requires handling large connectivity (adjacency) matrices. Also, to find out the…

Data Analysis, Statistics and Probability · Physics 2019-05-14 Amit Reza , Richa Tripathi

The Random Geometric Graph (RGG) is a random graph model for network data with an underlying spatial representation. Geometry endows RGGs with a rich dependence structure and often leads to desirable properties of real-world networks such…

Social and Information Networks · Computer Science 2022-08-25 Quentin Duchemin , Yohann de Castro

The power network reconfiguration algorithm with an "R" modeling approach evaluates its behavior in computing new reconfiguration topologies for the power grid in the context of the Smart Grid. The power distribution network modelling with…

Signal Processing · Electrical Eng. & Systems 2018-06-22 Eonassis O. Santos , Joberto S. B. Martins