Department of Applied Mathematics
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Recent Submissions
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Bayesian forecasting of stock returns using simultaneous graphical dynamic linear models
(Stellenbosch : Stellenbosch University, 2022-12)ENGLISH ABSTRACT: Cross-series dependencies are crucial in obtaining accurate forecasts when forecast- ing a multivariate time series. Simultaneous Graphical Dynamic Linear Models (SGDLMs) are Bayesian models that elegantly ... -
Semi-supervised learning in computer vision
(Stellenbosch : Stellenbosch University, 2022-12)ENGLISH ABSTRACT: Deep learning models have proven to be successful at tasks such as image classification. A major drawback of supervised learning is the need for large labelled datasets to obtain good classification ... -
Low-resource image captioning
(Stellenbosch : Stellenbosch University, 2022-12)ENGLISH ABSTRACT: Image captioning combines computer vision and natural language processing, and aims to automatically generate a short natural language phrase that describes relationships between objects and context ... -
Contributions to the theory of near-vector spaces, their geometry, and hyperstructures
(Stellenbosch : Stellenbosch University, 2022-12)ENGLISH ABSTRACT: This thesis expands on the theory and application of near-vector spaces — in particular, the underlying geometry of near-vector spaces is studied, and the theory of near-vector spaces is applied to ... -
A note on exact solutions of the logistic map
(AIP Publishing, 2020-03)The logistic map, whose iterations lead to period doubling and chaos as the control parameter, is increased and has three cases of the control parameter where exact solutions are known. In this paper, we show that general ... -
Fruit detection in an orchard using deep learning approaches
(Stellenbosch : Stellenbosch University, 2022-04)ENGLISH ABSTRACT: Over the last few years, we have witnessed rapid advancement in technology in different fields: communication, transport security, finance, and medicine. Agriculture is no exception. Today, agriculture ... -
The Impact of peptide flanking residues on predicting peptide-MHC-II binding interactions using convolutional Neural Networks
(Stellenbosch : Stellenbosch University, 2022-04)ENGLISH ABSTRACT: Major histocompatibility complex class II (MHC-II) is one of three classes of MHC molecules and is located on the surface of professional antigen presenting cells. MHC-II molecules present antigenic ... -
Interpolating countour lines with radial basis functions
(Stellenbosch : Stellenbosch University, 2022-04)ENGLISH SUMMARY : With the growing demand for digital elevation models (DEMs) in science and visualisation, there exists a need to generate these models cheaply and efficiently. While current methods such as remote sensing ... -
Modelling the dispersion and deposition of solid wastes from fish farming with a continuum approach
(Stellenbosch : Stellenbosch University, 2022-04)ENGLISH ABSTRACT: The sustainability of the environment in coastal ecosystems is of great concern due to aquaculture. There are many unknowns and constraints in the predictive modelling of fish farm waste due to the ... -
The class imbalance problem in computer vision
(Stellenbosch : Stellenbosch University, 2022-04)ENGLISH ABSTRACT: Class imbalance is a naturally occurring phenomenon, typically characterised as a dataset consisting of classes with varying numbers of samples. When trained on class imbalanced data, networks tend to ... -
Offline writer authentication
(Stellenbosch : Stellenbosch University, 2021-12)ENGLISH ABSTRACT: In this thesis a number of systems are proposed for the purpose of offline writer authentication. A text-dependent approach is adopted, since a very specific targeted handwritten word is considered for ... -
Low-resource neural machine translation for Southern African languages
(2021-12)ENGLISH ABSTRACT: The majority of African languages have not fully benefited from the recent advances in machine translation due to lack of data. Motivated by this challenge we leverage and compare transfer learning, ... -
Convolutional and fully convolutional neural networks for the detection of landmarks in tsetse fly wing images
(Stellenbosch : Stellenbosch University, 2021-12)ENGLISH ABSTRACT: Tsetse flies are a species of bloodsucking flies in the house fly family, that are only found in Africa. They cause animal and human African trypanosomiasis (AAT and HAT), commonly referred to as ... -
Towards automated detection of dicentric chromosomes in metaphase images
(Stellenbosch : Stellenbosch University, 2021-03)ENGLISH ABSTRACT: The aim of the proposed research is to investigate methods to identify objects of interest and classify dicentric and normal chromosomes in metaphase images using suitable digital image processing ... -
Variance estimation for Markov processes
(Stellenbosch : Stellenbosch University, 2021-03)ENGLISH ABSTRACT: We study the asymptotic variance of additive functionals of Markov processes, used in statistics and stochastic modelling as estimators of model parameters. The observations generated by these processes ... -
Handover in a distributed system of UAVs: application to wildlife monitoring
(Stellenbosch : Stellenbosch University, 2020-12)ENGLISH ABSTRACT: Wildlife surveillance is of significant interest for the protection of animals and their habitats. In this study, a distributed system of unmanned aerial vehicles (UAVs) or drones is designed for ... -
The localization game on Cartesian products
(Stellenbosch : Stellenbosch University, 2020-12)ENGLISH ABSTRACT: The localization game is played by two players: a Cop with a team of k cops, and a Robber. The game is initialised by the Robber choosing a vertex r 2 V , unknown to the Cop. Thereafter, the game proceeds ... -
Link prediction in knowledge graphs using latent feature modelling and neural tensor factorisation
(Stellenbosch : Stellenbosch University, 2020-12)ENGLISH ABSTRACT: Reasoning over knowledge expressed in natural language is a problem at the forefront of artificial intelligence. Question answering is one of the core tasks of this problem, and is concerned with giving ... -
Modelling the spread of waterborne disease in salmon farms by means of a Lagrangian particle tracking model
(Stellenbosch : Stellenbosch University, 2020-12)ENGLISH ABSTRACT: This study sets out to model the spread of a waterborne disease between cages within an open water salmon farm, by means of a Lagrangian particle tracking model. The study modelled the flow through and ... -
Video classification using deep learning
(Stellenbosch : Stellenbosch University., 2020-03)ENGLISH ABSTRACT: To help analyse, classify, and monitor video data we need scalable algorithms that can handle video sequences of various lengths. Existing approaches tend to be both computationally expensive and ...