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Kirchner, K. (author), Schwab, Christoph (author)We formulate standard and multilevel Monte Carlo methods for the kth moment M<sub>ε</sub><sup>k</sup>[ξ] of a Banach space valued random variable ξ:Ω→E, interpreted as an element of the k-fold injective tensor product space ⊗<sub>ε</sub><sup>k</sup>E. For the standard Monte Carlo estimator of M<sub>ε</sub><sup>k</sup>[ξ], we prove the k...journal article 2024
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Masfara, La ODE Marzujriban (author), Weemstra, C. (author)The Hamiltonian Monte Carlo algorithm is known to be highly efficient when sampling high-dimensional model spaces due to Hamilton's equations guiding the sampling process. For weakly non-linear problems, linearizing the forward problem enhances this efficiency. This study integrates this linearization with geological prior knowledge for...journal article 2024
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- van Dobben de Bruyn, J. (author) doctoral thesis 2023
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Teh, Irvin (author), Shelley, David (author), Boyle, J.H. (author), Zhou, Fenglei (author), Poenar, Ana Maria (author), Sharrack, Noor (author), Foster, Richard J. (author), Yuldasheva, Nadira Y. (author), Parker, Geoff J.M. (author)Purpose: Tensor-valued diffusion encoding can probe more specific features of tissue microstructure than what is available by conventional diffusion weighting. In this work, we investigate the technical feasibility of tensor-valued diffusion encoding at high b-values with q-space trajectory imaging (QTI) analysis, in the human heart in vivo....journal article 2023
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Draganov, D.S. (author), Naranjo, D. (author), Polychronopoulou, Katerina (author), Weemstra, C. (author)Geothermal energy is a cleaner and more sustainable source of power, which plays a key role in the transition to a low-carbon economy. Sustainable and safe exploitation of geothermal resources, however, depends on our ability to understand and manage the associated seismic risks. In 2018, Nature's Heat geothermal project began operations in...abstract 2023
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Gülmez, D.E. (author), Maldonado, Jesus (author), Masania, K. (author), Sinke, J. (author), Dransfeld, C.A. (author)Chopped Tape Thermoplastic Composites (CTTCs) offer high formability and performance for complex-shaped components in the aerospace and automotive industries. However, the mesoscopic discontinuity leads to spatial variabilities and correspondingly high scatter in the elastic properties of CTTCs due to the random orientations of chopped tapes...journal article 2023
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Hehenberger, S.P. (author), Caizzone, Stefano (author), Thurner, Stefan (author), Yarovoy, Alexander (author)Additive manufactured structured dielectrics with engineered permittivity tensors are promising tools for novel microwave components and are drawing increasing attention from researchers. However, design modeling and experimental verification of anisotropic materials are challenging and have not yet been thoroughly explored in the literature. In...conference paper 2023
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de Rooij, S.J.S. (author), Batselier, K. (author), Hunyadi, Borbala (author)Recent advancements in wearable EEG devices have highlighted the importance of accurate seizure detection algorithms, yet the ever-increasing size of the generated datasets poses a significant challenge to existing seizure detection methods based on kernel machines. Typically, this problem is mitigated by significantly undersampling the...conference paper 2023
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Chimmalgi, S. (author), Wahls, S. (author)Riemann theta functions play a crucial role in the field of nonlinear Fourier analysis, where they are used to realize inverse nonlinear Fourier transforms for periodic signals. The practical applicability of this approach has however been limited since Riemann theta functions are multi-dimensional Fourier series whose computation suffers...journal article 2023
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Li, Longlong (author), Khait, M. (author), Voskov, D.V. (author), Terekhov, Kirill M. (author), Abushaikha, Ahmad (author)We apply Massively Parallel Interface for MPFA-O scheme with state-of-the-art Operator-Based Linearization (OBL) approach for multiphase flow in porous media. The implementation of MPFA-O scheme enhances the modelling capabilities for non-K-orthogonal mesh. A fully implicit scheme is applied to guarantee the stability of solutions when a mass...journal article 2023
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Miaskiwskyi, L.T. (author)The subject of this thesis is twofold: The first part is the study of local-to-global principles for the continuous Lie algebra (co-)homology of certain infinite-dimensional Lie algebras of geometric origin, specifically, Gelfand-Fuks cohomology and continuous cohomology of gauge algebras. It includes both an exposition to classical results of...doctoral thesis 2022
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Li, Z. (author), Rajan, R.T. (author)Multiagent systems have been widely researched and deployed in the industry for their potential to collectively achieve goals by distributing tasks to individual agents [1]–[4]. Formation control, one of the many applications of multiagent systems, aims at steering agents into a stable geometric pattern in space [3], [4]. There has been a...conference paper 2022
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de Rooij, S.J.S. (author), Hunyadi, Borbala (author)Epilepsy is one of the most common neurological conditions, affecting nearly 1% of the global population. It is defined by the seemingly random occurrence of spontaneous seizures. Anti-epileptic drugs provide adequate treatment for about 70% of patients. The remaining 30%, on the other hand, continue to have seizures, which has a significant...conference paper 2022
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Goedemondt, K.S. (author), Yang, J. (author), Wang, Q. (author)Touchscreens and buttons had became a medium for virus transmission during the COVID-19 pandemic. We have seen in our daily life that people use tissues and keys to press buttons inside elevators, on public screens, etc. In the post- COVID world, touch-free interaction with public touchscreens and buttons may become more popular. Motivated by...conference paper 2022
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Thies, J. (author), Hof, M.T.R. (author), Zimmermann, Matthias (author), Efremov, Maxim (author)We develop a computationally and numerically efficient method to calculate binding energies and corresponding wave functions of quantum mechanical three-body problems in low dimensions. Our approach exploits the tensor structure of the multidimensional stationary Schrödinger equation, being expressed as a discretized linear eigenvalue problem....journal article 2022
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Li, Lingjie (author), Yu, Wenjian (author), Batselier, K. (author)In recent years, the application of tensors has become more widespread in fields that involve data analytics and numerical computation. Due to the explosive growth of data, low-rank tensor decompositions have become a powerful tool to harness the notorious curse of dimensionality. The main forms of tensor decomposition include CP...journal article 2022
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Chen, Cong (author), Batselier, K. (author), Yu, Wenjian (author), Wong, Ngai (author)Tensor, a multi-dimensional data structure, has been exploited recently in the machine learning community. Traditional machine learning approaches are vector- or matrix-based, and cannot handle tensorial data directly. In this paper, we propose a tensor train (TT)-based kernel technique for the first time, and apply it to the conventional...journal article 2022
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Wang, Junpeng (author), Wu, J. (author), Westermann, Rüdiger (author)The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even after several hundreds or thousands of iterations. This leads to regions in which a distinct binary...journal article 2022
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Lesueur, M. (author), Guével, Alexandre (author), Poulet, Thomas (author)Modelling anisotropic flow in rocks requires their full permeability tensor. While theories derived from the upscaling of Stokes flow to Darcy's law may justify the tensor symmetry, homogenisations from micro-scale rock samples often return a non-zero level of asymmetry. Since most studies dismiss these controversial observations as numerical...journal article 2022
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Zhou, Y. (author), Sluys, Lambertus J. (author), Esposito, R. (author)Accurate assessment of the overall mechanical behavior of masonry, composed of bricks and mortar joints, remains challenging due to its inhomogeneous and orthotropic nature. In this study, the feasibility of various mean-field homogenization schemes for the three-dimensional orthotropic elastic properties of masonry is comprehensively...journal article 2022