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math.MG2022
A Combination Theorem for Trees of Metric Bundles
Rakesh Halder
Motivated by the work of Bestvina-Feighn ([BF92]) and Mj-Sardar ([MS12]), we define trees of metric bundles subsuming both the trees of metric spaces and the metric bundles. Then w…
math.NA2022
Non-intrusive reduced-order modeling using convolutional autoencoders
Rakesh Halder, Krzysztof Fidkowski, Kevin Maki
The use of reduced-order models (ROMs) in physics-based modeling and simulation almost always involves the use of linear reduced basis (RB) methods such as the proper orthogonal de…