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Research Interests

This page attempts to summarise some of the research I have been involved with, in the few years of my tertiary academic journey. I have always pursued projects that I consider exciting, this is why I have roamed across different areas like cryptography, fluid mechanics and machine learning.

The originality of my ideas and the satisfaction of my curiosity is what stands out in my work. I am always happy to whip up a slide, stand before an audience and spend hours discussing the interesting challenges and details of my research.

PhD Poster Presentation | Improving Skeleton-based Action Recognition with Ordered Skeletal Joints

Abstract: Most skeleton-based action recognition algorithms use a self-attention-based approach for embedding the skeletal graph to the spatial domain. But unlike sequences where their inherent order serve as suitable position encoding, a skeletal graph has no obvious order that can be used as a position encoding alongside the self-attention mechanism. My poster showcases my proposed algorithm where we used a supervised contrastive learning approach to learn a suitable ordering for the nodes in the skeletal graph. This learnt position encodings can be used for any downstream task once they have been learnt for any graph. More details can be found  in the original poster.

dynamic human skeletal graph

NAPE algorithm

NAPE Algorithm

MSc Individual Project | Video Representation Learning with Graph Neural Network, Using Data-Dependent Edge Weights

[Heatmap of the learned adjacency matrix for some sample videos]

MSc Research Group Project | Modelling substantia-nigra neurons to quantify the effects of alpha-synuclein in Parkinson’s disease

  • The toxic protein, α-synuclein, is thought to negatively impact the substantia-nigra neurons, causing the degenerative effects of Parkinson’s disease. In a recent study, experimental data was collected from substantia-nigra neurons which had been exposed to α-synuclein. We created dynamic I-V curves from this experimental data, in order to quantify the current-voltage relationship, and it was discovered that the exponential integrate-and-fire model provided an excellent fit to the cell which had been exposed to α-synuclein. An EIF model was used to fit the experimental data. Also, an LSTM model was trained to capture the dynamics in the experimental data.
  • Supervised by Professor Magnus RichardsonLink opens in a new window.
  • Fellow group members: Charles HepburnLink opens in a new window and Jack O'ConnorLink opens in a new window.

[Investigation into the presence of an adaptation current.]

[Long short-term memory network (LSTM) training and simulation data.]

MSc Individual Project | Particle Trajectory in Solid-body Vortex and Source-Sink Pair Flow Fields Using the Maxey-Riley Equation

  • The question of how a particle moves in a fluid is the primary focus of this dissertation. The flow fields of interest are solid-body vortex and source-sink pair. Experiments reveal that buoyant particles would act as fluid tracers by following the fluid at each point with equal velocity. But for a particle with density greater (or lesser) than that of the fluid, the answer is not glaring for both flow fields of interest. For this, the Maxey-Riley equation is introduced, which describes the motion of particles in a fluid and is used to answer the above question.
    A mathematical model for an aerosol extractor (from COVID-19 patients) is designed using the solution of the Maxey-Riley equation for a source-sink pair flow field. And the effect of gravity on the aerosol extractor is considered alongside the effect of a constant flow stream.
  • Supervised by Dr Cathal CumminsLink opens in a new window.

[(a) The trajectory (r(t), θ(t)) of a bubble (light particle) initially at rest at the edge of the teacup spiralling towards the centre of the stirred tea.]

[(b) Long term behaviour of the radial and angular velocity of the bubble]

[(a) The trajectories of particles less dense than the fluid (light particles) with a background source-sink pair flow field opposed by a laminar flow, but captured into the sink.]

[(b) The trajectories of aerosols from a breathing patient being captured by an aerosol extractor. The flow is influenced by gravity and a laminar flow which is in the direction of the sink.]

[(a) The trajectories of particles less dense than the fluid (light particles) with a background source-sink pair flow field opposed by a laminar flow.]

[(b) The trajectories of particles denser than the fluid (heavy particles) with a background source-sink pair flow field influenced by gravity.]

[(c) The trajectories of particles less dense than the fluid (light particles) with a background source-sink pair flow field.]

BSc Project | An Implementation of the Rivest–Shamir–Adleman (RSA) Public Key Cryptosystem (PKC)

  • Cryptography has been considered in past times as an art, rather than a science. Also, most cryptosystems developed in past times are symmetric. This project work introduces the RSA public key cryptosystem which is asymmetric and considers the mathematical theorems upon which it is built, also providing their proofs and showing the logical sequence of how they emanate from each other. This work also provides the algorithm for the RSA, showing why it works and it's security-why it is not susceptible to just any form of attack. This work is also a practical implementation of the RSA by using it to encrypt (and decrypt) a text (Psalm 91: 1-2). In addition to the encryption, this project showed how the RSA can be adopted to the concept of digital signature. Lastly, a computer program was tailored to carry out both the encryption and decryption processes.
  • Supervised by Ugorji Chimezie.

[Text to be encrypted using the tailored RSA algorithm (written in C++).]

[The resulting encrypted text.]

[A snapshot of the console window where the algorithm was implemented.]

[The decrypted text with a slight error at the end of the text due to an overflow in the computed number and its corresponding ASCII character.]