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We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz problems. The offline information is computed by means of adaptive finite el ...
In this thesis, we propose model order reduction techniques for high-dimensional PDEs that preserve structures of the original problems and develop a closure modeling framework leveraging the Mori-Zwanzig formalism and recurrent neural networks. Since high ...
The objective of this thesis is to provide a mathematical and computational framework for the proactive maintenance of complex systems with a particular application to structural health monitoring (SHM). SHM techniques rely primarily on sensor responses to ...
"I choose this restaurant because they have vegan sandwiches" could be a typical explanation we would expect from a human. However, current Reinforcement Learning (RL) techniques are not able to provide such explanations, when trained on raw pixels. RL alg ...
We propose a model order reduction technique to accurately approximate the behavior of multi-component systems without any a-priori knowledge of the coupled model. In the offline phase, we construct independent surrogate models by solving the local problem ...
Basic percepts and observation sentences, such as "the voltmeter is at 7A", provide the ground truth for realistic theories. Reduction is the second backbone of these theories linking, for example, neuroscience to physics. First, we will show, by mathemati ...
High-velocity plunging water jets, such as those formed by spillways of high-head dams, cause scour on the rock foundations. The scour process is the result of complex physical phenomena concerning the three media involved, namely, water, rock and air. Air ...
Problem. To reach international greenhouse gas (GHG) emission targets, the carbon intensity of urban resource and energy consumption must be reduced. Technological innovation alone is not sufficient: The practices that constitute urban household demand for ...
Systems biology is a multidisciplinary field that weaves together all the basic sciences through the use of computational and bioinformatics tools, to provide a more integrative view of the complex molecular interactions taking place within and among cells ...
Interactions between the body and the environment occur within the peripersonal space (PPS), the space immediately surrounding the body. The PPS is encoded by multisensory (audio-tactile, visual-tactile) neurons that possess receptive fields (RFs) anchored ...
