Exploring the mathematical principles that underpin AI algorithms, with a focus on optimization, probability, and linear algebra techniques.
Previous Research Projects
We are interested in generating anisotropic meshes in multiple dimensions; such meshes are utilized in the numerical solution of PDEs with methods like Finite Volumes or Finite Elements. The objective is to create a special mesh, satisfying certain geometrical properties, that is useful for the solution of a particular kind of PDEs.
Recently, the development of wireless communication technologies has led to parallel development in the concept of intelligent transportation systems (ITS) to improve the safety and security of drivers and pedestrians.
The aim of the project is to combine multiple genomes into a graph-based data structure that represents multiple genomes.
Investigate and develop methods for the fitting of Bayesian neural networks.
Federated learning (FL) is a novel paradigm enabling distributed machine learning (ML) model training, while ensuring that training data remains on individual clients. The increasing need for privacy makes FL a highly promising method spearheading the future of ML. Although theoretically elegant, FL faces significant hurdles when it comes to real-world implementation.
To understand the basic concept in wave propagations, including deriving transmission and reflection coefficients of an interface, a single layer and multiple layers.
Bluetooth is useful wireless protocol that often acts as a replacement of data cable, and enables pairing and subsequent data sharing between two legitimate devices in the close proximity.
Histological staining is the gold standard for tissue examination in clinical pathology and life-science research, which visualizes the tissue and cellular structures using chromatic dyes or fluorescence labels to aid the microscopic assessment of tissue. However, the current histological staining workflow requires tedious sample preparation steps, specialized laboratory infrastructure, and trained histotechnologists, making it expensive, time-consuming, and not accessible in resource-limited settings.
Color is one of the most effective means to identify, classify and perceive objects. Due to the biological nature, human’s naked eyes are sensitive to red, green and blue colors only, while Mantis Shrimp’s eye can resolve up to 16 different colors simultaneously. However, our understanding of different color interpretation mechanisms is limited.
A Phonocardiogram (PCG) signal is the graphical representation of the heart sound recording that is obtained by placing a stethoscope on the patient’s chest. Since the PCG signal is highly correlated with the Electrocardiogram (ECG), it is imperative to analyze the relationship between the two waveforms.
Among all renewable energy sources for power generation, the share of solar energy is the largest. The solar energy is harnessed by photovoltaic (PV) panels which convert the solar radiation to electrical output.
Originally, the Internet was designed to enable applications to communicate directly with one another without their data being tampered with. This is called the end-to-end principle. However, network elements such as firewalls, proxies and load balancers have violated this principle for various valid reasons such as security, performance, interoperability and policy.
Originally, the Internet was designed to enable applications to communicate directly with one another without their data being tampered with. This is called the end-to-end principle. However, network elements such as firewalls, proxies, and load balancers have violated this principle for various valid reasons such as security, performance, interoperability, and policy.