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In this short note we collect together known results on the use of Random Matrix Theory in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and…

Statistical Mechanics · Physics 2007-05-23 J. -Ch. Angles d'Auriac , J. -M. Maillard

A classic network tomography problem is estimation of properties of the distribution of route traffic volumes based on counts taken on the network links. We consider inference for a general class of models for integer-valued traffic. Model…

Methodology · Statistics 2015-06-03 Martin L. Hazelton

To observe the evolution of network traffic correlations we analyze the eigenvalue spectra and eigenvectors statistics of delayed correlation matrices of network traffic counts time series. Delayed correlation matrix D is composed of the…

Networking and Internet Architecture · Computer Science 2007-07-10 Viktoria Rojkova , Mehmed Kantardzic

Managing mixed traffic comprising human-driven and robot vehicles (RVs) across large-scale networks presents unique challenges beyond single-intersection control. This paper proposes a reinforcement learning framework for coordinating mixed…

Machine Learning · Computer Science 2024-12-18 Iftekharul Islam , Weizi Li

Large-dimensional random matrix theory, RMT for short, which originates from the research field of quantum physics, has shown tremendous capability in providing deep insights into large dimensional systems. With the fact that we have…

Spectral Theory · Mathematics 2021-04-06 Jungang Ge , Ying-Chang Liang , Zhidong Bai , Guangming Pan

Network traffic demand matrix is a critical input for capacity planning, anomaly detection and many other network management related tasks. The demand matrix is often computed from link load measurements. The traffic matrix (TM) estimation…

Networking and Internet Architecture · Computer Science 2020-08-04 Shenghe Xu , Murali Kodialam , T. V. Lakshman , Shivendra Panwar

This thesis addresses two persistent and closely related challenges in modern deep learning, reliability and efficiency, through a unified framework grounded in Spectral Geometry and Random Matrix Theory (RMT). As deep networks and large…

Machine Learning · Computer Science 2026-02-27 Davide Ettori

In this report, we delve into two critical research inquiries. Firstly, we explore the extent to which Reinforcement Learning (RL) agents exhibit multimodal distributions in the context of stop-and-go traffic scenarios. Secondly, we…

Robotics · Computer Science 2023-12-12 Supriya Sarker

Brain mapping analyzes the wavelengths of brain signals and outputs them in a map, which is then analyzed by a radiologist. Introducing Machine Learning (ML) into the brain mapping process reduces the variable of human error in reading such…

Neurons and Cognition · Quantitative Biology 2025-02-24 Katrina Lawrence

We present Thinking While Driving, a concurrent routing framework that integrates LLMs into a graph-based traffic environment. Unlike approaches that require agents to stop and deliberate, our system enables LLM-based route planning while…

Multiagent Systems · Computer Science 2025-12-12 Xiaopei Tan , Muyang Fan

Model-based analysis tools, built on assumptions and simplifications, are difficult to handle smart grids with data characterized by 4Vs data. This paper, using random matrix theory (RMT), motivates data-driven tools to perceive the complex…

Methodology · Statistics 2017-07-20 X. He , Q. Ai , C. Qiu , W. Huang , L. Piao , H. Liu

We discuss a modification to Random Matrix Theory eigenstate statistics, that systematically takes into account the non-universal short-time behavior of chaotic systems. The method avoids diagonalization of the Hamiltonian, instead…

Chaotic Dynamics · Physics 2009-10-01 A. Matthew Smith , Lev Kaplan

Random matrix theory (RMT) is based on two assumptions: (1) matrix-element independence, and (2) base invariance. Most of the proposed generalizations keep the first assumption and violate the second. Recently, several authors presented…

Statistical Mechanics · Physics 2009-07-14 A. Y. Abul-Magd

Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has a chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance. Last decade witnessed…

Chaotic Dynamics · Physics 2011-09-27 A. Y. Abul-Magd

We analyze complex networks under random matrix theory framework. Particularly, we show that $\Delta_3$ statistic, which gives information about the long range correlations among eigenvalues, provides a qualitative measure of randomness in…

Statistical Mechanics · Physics 2015-05-13 Sarika Jalan , Jayendra N. Bandyopadhyay

Neural networks have been used successfully in a variety of fields, which has led to a great deal of interest in developing a theoretical understanding of how they store the information needed to perform a particular task. We study the…

Disordered Systems and Neural Networks · Physics 2022-11-16 Matthias Thamm , Max Staats , Bernd Rosenow

Deep Reinforcement Learning (DRL) uses diverse, unstructured data and makes RL capable of learning complex policies in high dimensional environments. Intelligent Transportation System (ITS) based on Autonomous Vehicles (AVs) offers an…

Machine Learning · Computer Science 2022-06-30 Anum Mushtaq , Irfan ul Haq , Muhammad Azeem Sarwar , Asifullah Khan , Omair Shafiq

To safely and rationally participate in dense and heterogeneous traffic, autonomous vehicles require to sufficiently analyze the motion patterns of surrounding traffic-agents and accurately predict their future trajectories. This is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Weihuang Chen , Fangfang Wang , Hongbin Sun

Separating mid-path Internet performance from edge effects remains a fundamental challenge in network measurement. This paper presents a methodology for detecting anomalous topology, routing policies, and congested interconnections using…

Networking and Internet Architecture · Computer Science 2026-03-30 Matt Mathis

In this paper, we present a novel hybrid deep learning model, named ConvLSTMTransNet, designed for time series prediction, with a specific application to internet traffic telemetry. This model integrates the strengths of Convolutional…

Machine Learning · Computer Science 2024-09-23 Sajal Saha , Saikat Das , Glaucio H. S. Carvalho