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Network Reconstruction And Vulnerability Analysis Of Financial Networks, Nathan Scott Woodbury
Network Reconstruction And Vulnerability Analysis Of Financial Networks, Nathan Scott Woodbury
Theses and Dissertations
Passive network reconstruction is the process of learning a structured (networked) representation of a dynamic system through the use of known information about the structure of the system as well as data collected by observing the inputs into a system along with the resultant outputs. This work demonstrates an improvement on an existing network reconstruction algorithm so that the algorithm is capable of consistently and perfectly reconstructing a network when system inputs and outputs are measured without error. This work then extends the improved network reconstruction algorithm so that it functions even in the presence of noise as well as …
Theory And Applications Of Network Structure Of Complex Dynamical Systems, Vasu Nephi Chetty
Theory And Applications Of Network Structure Of Complex Dynamical Systems, Vasu Nephi Chetty
Theses and Dissertations
One of the most powerful properties of mathematical systems theory is the fact that interconnecting systems yields composites that are themselves systems. This property allows for the engineering of complex systems by aggregating simpler systems into intricate patterns. We call these interconnection patterns the "structure" of the system. Similarly, this property also enables the understanding of complex systems by decomposing them into simpler parts. We likewise call the relationship between these parts the "structure" of the system. At first glance, these may appear to represent identical views of structure of a system. However, further investigation invites the question: are these …