SNDS Research Group Introduction

Led by Dr Rejoyce Gavhi-Molefe, the group initially concentrated on computational mathematics and approximation theory, particularly subdivision schemes, multiresolution and wavelet methods, and numerical analysis. As the field of subdivision schemes has evolved, we have expanded our research scope to include network approaches to subdivision and financial mathematics. Today, we utilise machine learning and deep learning techniques to address complex problems in subdivision and network science.
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The group’s three core research areas include:

Subdivision

Subdivision is a method for generating smooth curves and surfaces from a given sequence of data points in a plane or space. Over the last few decades, it has been developed into a fast-growing powerful tool in a variety of application areas (e.g., computer graphics, animation movie production, image processing and numerical solutions of partial differential equations). This is due to its computationally efficient properties compared to other modelling approaches for smooth curves and surfaces.

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Network Science

Network Science is an interdisciplinary field that focuses on the rigorous study of complex networks, analyzing their structure, dynamics, functions, and evolution. It investigates how nodes (representing entities such as individuals, proteins, devices, or cities) and edges (representing relationships or interactions) form interconnected systems that appear across a wide variety of domains including social, biological, technological, communication, and infrastructure networks

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Data Science

Data Science focuses on extracting meaningful insights, patterns, and knowledge from data by combining techniques from statistics, machine learning, computer science, and domain expertise. It encompasses the entire data lifecycle, including the collection, storage, cleaning, integration, analysis, and interpretation of large and often complex datasets. The goal is to transform raw data into actionable information that can support decision-making, optimization, and innovation.

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Current Research Topics

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