School Mathematics, Statistics and Computer Science
Sub-communities within this community
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Applied Mathematics [131]
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Computer Science [106]
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Pure Mathematics [50]
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Statistics [145]
Recent Submissions
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Tracing star formation in groups and filaments around a young active galaxy cluster at z ∼ 1.46.
(2022)Abstract available in PDF. -
An assessment of the component-based view for metaheuristic research.
(2023)Several authors have recently pointed to a crisis within the metaheuristic research field, particularly the proliferation of metaphor-inspired metaheuristics. Common problems identified include using non-standard ... -
Policy optimisation and generalisation for reinforcement learning agents in sparse reward navigation environments.
(2021)Sparse reward environments are prevalent in the real world and training reinforcement learning agents in them remains a substantial challenge. Two particularly pertinent problems in these environments are policy optimisation ... -
The evolution of galaxies in Sunyaev-Zel’dovich selected galaxy clusters from ACT DR5.
(2023)Abstract available in PDF. -
Investigation of the South African public TVET colleges’ engineering official mathematics curriculum for entry level artisans.
(2023)One of the main objectives of any mathematics curriculum is to equip students with the necessary thinking skills for real-world problems. As the world evolves every day of our lives, so do the people living in it. ... -
New exact solutions for neutral and charged shear-free relativistic fluids.
(2022)We study shear-free gravitating fluids in general relativity. We first analyse the integrability of the Emden-Fowler equation that governs the behaviour of shear-free neutral perfect fluid distributions. We find a new ... -
Fixed point approach for solving optimization problems in Hilbert, Banach and convex metric spaces.
(2023)In this thesis, we study the fixed point approach for solving optimization problems in real Hilbert, Banach and Hadamard spaces. These optimization problems include the variational inequality problem, split variational ... -
Iterative approximations of certain nonlinear optimization, generalized eqilibrium and fixed point problems in Hilbert and Banach spaces.
(2023)In this thesis, in the framework of Banach spaces, we study several iterative methods for finding the solutions of many important problems in fixed point theory and optimization. Some of these include the equilibrium ... -
Appraising South African residential property and measuring price developments.
(2022)Housing wealth is well established as one of the most important sources of wealth for households and investors. However, owning a home is a fundamental human need, making monitoring residential property prices a social ... -
Longitudinal clinical covariates influence on CD4+ cell count after seroconversion.
(2019)The Acquired Immunodeficiency Syndrome (AIDS) pandemic is a global challenge. The human immunodeficiency virus (HIV) is notoriously known for weakening the immune system and opening channels for opportunistic infections. ... -
Statistical methods for causal inference in observational studies.
(2020)Estimating causal effects is essential in the evaluation of a treatment or intervention. It is particularly straightforward for well-designed experiments. However, when the treatment assignment is complicated by confounders, ... -
Axial algebras for sporadic simple groups HS and Suz.
(2018)Motivated by the construction of the Monster sporadic simple group as a group of automorphisms of an algebra and the recent development of ax- ial algebras as a generalization of Majorana representations, we construct ... -
Statistical modeling of acute HIV infection from a cohort of high-risk individuals in South Africa.
(2022)In this dissertation, longitudinal data modeling approaches to analyze data on CD4 cell counts measured repeatedly in HIV-infected patients enrolled in the Centre for the AIDS Programme of Research in South Africa are ... -
Concepts for the construction of confidence intervals for measuring stability after hallux vulgus surgery: theoretical development and application.
(2021)The absolute change in the corrected angle measured immediately after surgery and after bone healing is a clinically relevant endpoint to judge an osteotomy's stability. The primary objective of this research is to ... -
Flexible statistical modelling of the determinants of childhood anaemia in Tanzania and Angola.
(2020)Anaemia is one of the major causes of morbidity and mortality in children aged five or less in Africa, affecting 25% of the world’s population. In developing countries, it accounts for more than 89% of the disease burden. ... -
Modelling tuberculosis risk factors among adult men in South Africa.
(2021)Tuberculosis is among the major public health problems not only in South Africa but worldwide. Tuberculosis is an underlying cause of more than 1.5 million deaths each year worldwide, making it the world's top infectious ... -
Flexible statistical modeling of childhood malnutrition in Malawi.
(2019)Childhood malnutrition is one of the most significant health problems affecting public health departments, mainly in developing countries. The development of proper assessment of malnutrition is one of the challenges ...
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