Searched for: mods_note_programme_s%3A%22Applied%255C+Mathematics%22
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Galanis, Miltos (author)
In this thesis, we explore the structure of consistent bootstrap statistics in hypothesis testing. Bootstrap, as a very useful technique when theoretical distributions are not available or when the sample size is small, enjoys a lot of interest from applied statisticians. Historically, guidelines for performing Bootstrap have been proposed. One...
master thesis 2023
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Rang, Jugo (author)
This paper presents a novel approach for the estimation of conditional multivariate cumulative distribution functions (CDFs) within a nonparametric framework. To achieve this, we introduce a binary random variable that indirectly represents conditional CDFs and construct a dataset by pairing input vectors with the binary variables. We developed...
master thesis 2023
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Wigmans, Bram (author)
This paper examines whether complex high-dimensional data that describes the dynamics of a cantilever beam can be transformed into a less complex system. In particular, the transformation that is examined is the reduction of the dimension. An essential aspect of this study involves the implementation of a linear autoencoder, which is a type of...
bachelor thesis 2023
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Duffy, jill (author)
The Leslie model considers age-specific birth and survival rates to describe how a population size and age distribution changes over time. This thesis investigates the long-term dynamics of the Leslie model for population growth, utilizing mathematical theorems such as Perron-Frobenius, Doeblin’s theorem, and Branching processes. <br/><br/>The...
bachelor thesis 2023
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Nederpel, Wolf (author)
The Navier-Stokes equations govern the flow of viscous fluids such as air or water. Since no general solution is known, computer simulations are used to obtain approximate solutions. As computers are unable to handle continuous representations of fields, finite-dimensional projection of fields is required, resulting in a loss of information. A...
master thesis 2023
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Voskamp, Rodney (author)
PDEs, like HJB-equations, can be solved using grid-based methods. These methods are inefficient for solving high-dimensional HJB-equation, because they suffer from the Curse of Dimensionality. Neural networks may overcome this problem. In this research, we solve high dimensional Partial Integro Differential Equations (PIDE) using neural networks...
master thesis 2023
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Oudejans, Benjamin (author)
In this thesis, we derive a lower bound on a quantity appearing in a Fourier multiplier inequality on solvable Lie groups.<br/>In Caspers, Janssens, Krishnaswamy-Usha and Miaskiwskyi (2022), a classical result by de Leeuw about the restriction of Fourier multipliers on $\mathbb{R}^n$ to a discrete subgroup is extended to a noncommutative setting...
master thesis 2023
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van der Wal, Gwyn (author)
The whitening transformation transforms a random matrix into a whitened matrix with expectation 0 and covariance matrix I. By removing the first and second order statistical structures, higher order structures can be looked at for better classification. This is why Stage Gate 11 B.V. has employed whitening in the preprocessing of their...
master thesis 2023
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Ferretti, Luca (author)
This research project, conducted in collaboration between TU Delft and MN, a pension fund asset manager, focuses on the optimal venue selection in FX trading. The objective is to investigate how the venue selection affects trading performance and to improve MN trading execution algorithm, named ALGO. The research aims to propose a new approach...
master thesis 2023
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Nakos, Vangelis (author)
Portfolio optimization, a fundamental area of study in financial engineering,<br/>plays a crucial role in creating efficient portfolios. In this thesis, we consider<br/>a robust multi-period Mean-Variance portfolio optimization framework and<br/>apply it to real-world market data. The approach we look at incorporates a<br/>time-consistent...
master thesis 2023
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Boroni Grazioli, Andrea (author)
With the ever-increasing need to reduce the use of fossil fuels, Tesla is accelerating the world's transition to sustainable energy. This means replacing all internal combustion vehicles with electric ones over time. The growing number of Tesla vehicles on the road poses interesting scaling challenges for all departments especially for the...
master thesis 2023
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Reichling, C Z (author)
This thesis is on the subject of phylogenetic networks. These are schematic<br/>visualisations used mainly to investigate the evolutionary history of species,<br/>but which can be used for any set of distinguishable elements which have diverged from a common ancestor through some evolutionary process. The research specifically focuses on a way...
master thesis 2023
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Göbbels, Joost (author)
Through the expansion of large-scale service systems and the exponential growth of data generated by complex IT infrastructure components, gaining a comprehensive overview of the different levels of service within an IT system has become increasingly challenging. In particular, this brought to the fore the question from a large commercial bank...
master thesis 2023
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Sindy, Ferhat (author)
Computational Fluid Dynamics (CFD) offers numerous benefits, notably the ability to study flows that are challenging or costly to investigate using experiments. A central challenge in CFD lies in simulating fluid flow around complex geometries. Additionally, the governing equations follow conservation laws. This thesis aims to establish the...
master thesis 2023
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van Eig, Stijn (author)
This thesis introduces a model designed to provide port operators with insights into necessary infrastructure and adequate scheduling approaches when ships use electricity as their main power source. The operator manages a shipping port equipped with charging stations and provides a selection of electricity-powered freight cargo ships with...
master thesis 2023
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VASILEIOU, ANTONIOS (author)
Graph data is widely used in various applications, driving the rapid development of graph-based machine learning methods. However, traditional algorithms tailored for graphs have constraints in capturing intricate node relationships and higher-order patterns. Recent insights from prior research have shed light on comparing different graph neural...
master thesis 2023
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van Tol, Berend (author)
In this thesis, we study stochastic duality under hydrodynamic scaling in the context of interacting particles on a grid. The approach is inspired and motivated by the relation between duality and local equilibria. We identify duality relations in terms of the expectation of the density field for which the hydrodynamic limit is recovered. This...
master thesis 2023
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Slepova, Ksenia (author)
Every year, 180000 new cases of hydrocephalus are diagnosed among infants in Sub-Saharan Africa. Unfortunately, more than two-thirds of the population in this region lacks access to essential medical imaging technologies, such as magnetic resonance imaging (MRI). To address this issue, a collaborative effort between the TU Delft, Leiden...
master thesis 2023
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Nguyen, Thao (author)
This research addresses the operational challenges faced by the Sophia Children’s Hospital through a comprehensive analysis of its current state, literature review, and mathematical modeling. A model is created that produces a master surgery schedule, allowing for the allocation of patients to specific specialties, operating rooms, and days. Our...
master thesis 2023
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Ledoux, Rik (author)
In this thesis, we derive a multivariate analogue of Ruijsenaars’s 2F1-generalisation R. We use Hopf algebra representation theory of the modular double of sl.2/, a Hopf algebra structure strongly related to quantum groups, to relate the function R to overlap coefficients of eigenfunctions. Using properties of the algebra and the representation,...
master thesis 2023
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