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Enhancing Automotive Intrusion Detection Systems with CHERI-Based Memory Protection
Chathuranga Sampath Kalutharage,
Saket Mohan,
Xiaodong Liu,
Christos Chrysoulas
Posted: 21 December 2024
Transfinite Patches for Isogeometric Analysis
Christopher Provatidis
Posted: 20 December 2024
Humour Detection in Text; Developing an Automated System to Detect Humour in Text Using Machine Learning, Deep Learning and Large Language Models
Precious Owero-ozeze,
Claire Cashmore,
Okechukwu Okorie
Posted: 20 December 2024
Pothole Detection: A Study of Ensemble Learning and Decision Framework
Ken Gorro,
Deofel Balijon,
Elmo Ranolo
Posted: 20 December 2024
Machine‐Learning Forensics: Incorporating Machine‐Learning (ML) Techniques for Implementing Digital Forensic Readiness Model
Laila Tajeldin,
Hein Venter
Posted: 20 December 2024
Understanding the Hartman-Grobman Theorem: A Gateway to Predicting Dynamical System Behavior Near Hyperbolic Equilibria
Richard Murdoch Montgomery
The Hartman-Grobman Theorem plays a pivotal role in the qualitative analysis of dynamical systems, providing insights into the behavior of systems near hyperbolic equilibrium points through linear approximations. This paper presents an in-depth exploration of the theorem, clarifying its technical stipulations and demonstrating its application with practical examples. We begin by defining key concepts integral to dynamical systems such as equilibrium points, linearization, and the Jacobian matrix. Subsequent sections discuss the conditions under which the theorem applies, particularly focusing on hyperbolicity and the importance of eigenvalues in determining system stability. Additionally, the notion of topological conjugacy is examined to illustrate how nonlinear and linear system trajectories correlate qualitatively. We further investigate the concept of Lipschitz continuity and its relevance to the theorem's applicability. Through illustrative examples, including simple linear systems and more complex saddle points, we underscore the theorem's utility in simplifying the understanding of nonlinear dynamics. This comprehensive coverage of the theme not only elucidates the fundamental aspects of the Hartman-Grobman Theorem but also highlights its significant implications for predicting and analyzing system behavior in various scientific and engineering applications.
The Hartman-Grobman Theorem plays a pivotal role in the qualitative analysis of dynamical systems, providing insights into the behavior of systems near hyperbolic equilibrium points through linear approximations. This paper presents an in-depth exploration of the theorem, clarifying its technical stipulations and demonstrating its application with practical examples. We begin by defining key concepts integral to dynamical systems such as equilibrium points, linearization, and the Jacobian matrix. Subsequent sections discuss the conditions under which the theorem applies, particularly focusing on hyperbolicity and the importance of eigenvalues in determining system stability. Additionally, the notion of topological conjugacy is examined to illustrate how nonlinear and linear system trajectories correlate qualitatively. We further investigate the concept of Lipschitz continuity and its relevance to the theorem's applicability. Through illustrative examples, including simple linear systems and more complex saddle points, we underscore the theorem's utility in simplifying the understanding of nonlinear dynamics. This comprehensive coverage of the theme not only elucidates the fundamental aspects of the Hartman-Grobman Theorem but also highlights its significant implications for predicting and analyzing system behavior in various scientific and engineering applications.
Posted: 20 December 2024
SAT in Polynomial Time: A Proof of P = NP
Frank Vega
Posted: 20 December 2024
Simplified Machine Learning Model as an Intelligent Support for Safe Urban Cycling
Alejandro Hernández-Herrera,
Elsa Rubio Espino,
Rogelio Álvarez Vargas,
Victor Hugo Ponce Ponce
Urban cycling is a sustainable mode of transportation in large cities, and it offers many advantages. It is an eco-friendly means of transport that is accessible to the population and easy to use. Additionally, it is more economical than other means of transportation. Urban cycling is beneficial for physical health and mental well-being. Achieving sustainable mobility and the evolution towards smart cities demands a comprehensive analysis of all the essential aspects that enable their inclusion. Road safety is particularly important, which must be prioritized to ensure safe transportation and reduce the incidence of road accidents. In order to help reduce the number of accidents that urban cyclists are involved in, this work proposes an alternative solution in the form of an intelligent computational assistant that utilizes Simplified Machine Learning (SML) to detect potential risks of unexpected collisions. This technological approach serves as a helpful alternative to the current problem. Through our methodology, we were able to identify the problem involved in the research, design and development of the solution proposal, collect and analyze data, and obtain preliminary results. These results experimentally demonstrate how the proposed model outperforms most state-of-the-art models that use a metric learning layer for small image sets.
Urban cycling is a sustainable mode of transportation in large cities, and it offers many advantages. It is an eco-friendly means of transport that is accessible to the population and easy to use. Additionally, it is more economical than other means of transportation. Urban cycling is beneficial for physical health and mental well-being. Achieving sustainable mobility and the evolution towards smart cities demands a comprehensive analysis of all the essential aspects that enable their inclusion. Road safety is particularly important, which must be prioritized to ensure safe transportation and reduce the incidence of road accidents. In order to help reduce the number of accidents that urban cyclists are involved in, this work proposes an alternative solution in the form of an intelligent computational assistant that utilizes Simplified Machine Learning (SML) to detect potential risks of unexpected collisions. This technological approach serves as a helpful alternative to the current problem. Through our methodology, we were able to identify the problem involved in the research, design and development of the solution proposal, collect and analyze data, and obtain preliminary results. These results experimentally demonstrate how the proposed model outperforms most state-of-the-art models that use a metric learning layer for small image sets.
Posted: 20 December 2024
Machine Learning-Based Activity Tracking for Individual Pig Monitoring in Experimental Facilities for Improved Animal Welfare in Research
Frederik Deutch,
Marc Gjern Weiss,
Stefan Rahr Wagner,
Lars Schmidt Hansen,
Frederik Larsen,
Constanca Figueiredo,
Cyril Moers,
Anna Krarup Keller
Posted: 20 December 2024
A Kolmogorov-Arnold Network Framework for Human Activity and Gender Recognition
Koray Acici
Posted: 20 December 2024
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