Using reinforcement learning for finding the optimal quantum annealing schedule

For NP-hard optimisation problems no polynomial-time algorithms exist for finding a solution. Therefore, heuristic methods are often used, especially when approximate solutions can be satisfactory. One such method is quantum annealing, a method where some initial Hamiltonian is slowly perturbed to anneal towards a problem Hamiltonian. The...

Reconstruction of Phylogenetic Networks: An algorithm for deconstructing and reconstructing Level-2 Binary Networks based on their distances

Van Iersel, Moulton, and Murakami (2020) proved that a level-2 binary phylogenetic network can be uniquely reconstructed based on the matrix of mulitsets of the distances of the leaves. Using a handful of lemma’s each<br/>describing the steps of identifying cherries, uncontained leaves and blobs in the network, I created an algorithm for...

Het rendement van verschillende ontwerpen van de trebuchet bij het afschieten van een voorwerp

In dit project worden vier vereenvoudigingen van de trebuchet onderzocht. Er wordt gekeken naar het rendement met betrekking tot de energie overdracht van het zware tegengewicht op het afgeschoten voorwerp. De invloed van het toevoegen van extra armen en wielen wordt onderzocht. Bij meer energie overdracht kan het voorwerp verder weg geschoten...

Stopproblemen en Speltheorie: De wiskunde achter de optimale inbraak

In dit verslag wordt het gedrag van een dief die huizen besteelt wiskundig bekeken. Het dievenspel is de aanleiding van dit verslag. In dit spel bepaalt een dief zijn optimale strategie voor het bestelen van één huis uit verschillende huizen met verschillende waarden. Daarnaast is er een agent die op zoek is naar zijn optimale strategie om de...

Where does plastic in the ocean come from?: Using the end location to find the likelihood of a possible start location of plastic particles in the ocean

In the ocean resides a large amount of plastic. This has severe environmental consequences for the oceans. To be able to clean up all this plastic the location of the plastic is needed. A lot of times plastic is cleaned up at the source, but to clean up here this location needs to be known. However, what if the start location is not known and...

The AIC-BIC dilemma: An in-depth look

In research there is often a need to choose between multiple competing models. Two popular criteria for model selection are the AIC and BIC. The AIC excels in estimating the best model for the unknown data generating process. The BIC on the other hand is consistent in finding the true model. It is clear that for model selection these two...

Rooted binary level-3 phylogenetic networks are encoded by quarnets

Phylogenetic networks generalize evolutionary trees and are commonly used to represent evolutionary relationships between species that undergo reticulate processes such as hybridization, recombination and lateral gene transfer. Recently, there has been great interest in knowing which networks are determined or encoded by their trinets, that are...

Oxygen Enhanced Combustion in a Cement Rotary Kiln: Clean Industrial Combustion Case Study

Decreasing NOx emissions is becoming increasingly important as it has many lifechanging implications on humanity and nature. In this work several models were constructed to simulate the combustion of methane in a cement rotary kiln, and it was investigated whether oxygen-enhanced combustion leads to less NO_x production for the...

Tanner's law in the case of partial wetting

This thesis considers the thin-film equation in partial wetting. The mobility in this equation is given by h³+λ^3-nhⁿ, where h is the film height, λ is the slip length and n is the mobility exponent. The partial wetting regime implies the boundary condition dh/dz&gt;0 at the triple junction....

Music Genre Detection: with Neural Networks

In this thesis we classify samples of music according to the genre that the music belongs to using neural networks. We divide this task into four parts. In the first part, we prepare the audio files to be used as input to a neural network. Specifically, we examine ways to create spectrograms. We then optimise the spectrograms by reducing and...

Feasibility of subsurface imaging using diurnal temperature variations

The feasibility of subsurface imaging using diurnal temperature variations to determine and/or monitor tuber growth is investigated by creating a model capable of numerically simulating data. The model and the numerical simulations are discussed, as well as the use of effective inversion to determine the volumefraction of tubers.

Modelling multivariate financial time series using vector autoregressive processes

Time series analysis is used to predict future behaviour of processes and is widely used in the finance sector. In this paper we will analyse the modelling of multivariate time series of financial data using vector autoregressive processes. The goal is that the reader will understand the presented models and could theoretically perform time...

Dissipation in the Abelian sandpile model: Conditions for criticality

The Abelian sandpile model was first introduced by Bak, Tang and Wiesenfeld in 1987. Since then, a lot of researchers have studied this model and similar models, all related by the concept of self-organized criticality. In this thesis, we study a variant on the classical model where dissipative and anti-dissipative vertices are incorporated in...

Het toepassen van complexe methodes voor het schatten van afgeleiden

It is possible to estimate derivatives of real functions with complex methods. These complex methods can increase speed or accuracy. The functions needs to be known to determine the derivative with a complex method.

Computational Modeling of Dielectric Membranes for Particle Detectors

In this paper two ways of modeling the secondary electron yields of an insula-<br/>tor under electron irradiation, are discussed and coupled. The drift-diusion-<br/>reaction model is used to investigate the secondary yields and charging eects.

Het optimaliseren van een toetsenbord voor een mobiele telefoon

Omdat het veelgebruikte QWERTY-toetsenbord voor een mobiele telefoon, waarop veelal met één vinger getypt wordt, geen optimale typtijd genereert, wordt gezocht naar een nieuwe toetsenbordindeling. Om dit Toetsenbord Layout Probleem op te lossen, worden in de eerste plaats twee nieuwe toetsenroosters gecreëerd, namelijk een met hexagonale toetsen...