supervision

Honors essays, master's dissertations, and doctoral theses supervised or co-supervised.

Below are the honors essays, master's dissertations, and doctoral theses I have supervised or co-supervised. Titles and short summaries are listed here; full manuscripts are archived in a private repository — reach out if you need access for academic purposes.

Doctoral theses

1 thesis
2024
GM
PhD
Gbèyigbènan Diam Medekon
Harnessing topological data analysis for spatio-temporal insights: A deep dive into epidemic spread, climate variability, and rainfall dynamics Ongoing

Master's dissertations

28 dissertations
2026
BA
M
Bob Philip Aila
Deep Active Learning: Selecting the Most Informative Data for Labeling Ongoing
AM
M
Alex Mutua
Support Vector Machines for Financial Time Series Forecasting: Models, Techniques, and Performance Ongoing
PK
M
Pontiane Kouecking
From classical PDEs to PINNs: Enhancing the Black-Scholes Model with deep learning constraints Ongoing
TF
M
Thiemokho Fall
Towards Interpretable Machine Learning: Symbolic Regression in the age of AI Ongoing
EN
M
Emmanuel NAHIMANA
Detecting Money Laundering Risks in Financial Transactions in Rwanda: A Machine Learning Approach with a Case Study on Mobile Money Ongoing
2025
DK
M
David KRAME KADURHA
Topological Foundations of Reinforcement Learning
Explores the topological foundations of reinforcement learning to better understand the structure and geometry of environments.
RT
M
Rayda Tatiana Possi Tahabo
Portfolio Optimization using Reinforcement Learning
Applies reinforcement learning to build a dynamic, self-adjusting portfolio strategy tuned to market volatility.
KB
M
Kevin Belingar
An Artificial Neural Network Approach to the Black-Scholes Model
Applies neural networks to the Black-Scholes model so deep architectures learn market behaviors and volatility patterns directly from data.
SP
M
Solim Pitikalo
SVM and Kernel Methods
A mathematical study of Support Vector Machines and kernel methods, bridging geometry and topology for nonlinear data separation.
NT
M
Ndèye Sokhna TOP
Reinforcement Learning: an algorithmic overview
A structured walkthrough of reinforcement learning — policy search, value functions, and the strategic optimization of sequential actions.
SA
M
Sani AMADOU ABDOU
An analytical investigation of parameter estimation techniques in ML: a case study of linear regression
An analytical study of linear regression parameter estimation — matrix formulations, statistical assumptions, and theoretical foundations.
SM
M
Salam Musa
Quantum kernel methods for nonlinear classification problems
Investigates quantum kernel methods for nonlinear classification, evaluating quantum feature-encoding schemes on simulations and NISQ hardware.
BM
M
Brian Ayanda Manamike
Topological signatures of African trade resilience
A TDA–GNN study of African trade elasticity showing how topological complexity shapes the resilience of regional trade networks (2017–2023 bilateral data).
CH
M
Christophe Hounwanou
Synthetic financial data generation for financial modeling
Uses GANs and VAEs to generate synthetic financial data addressing scarcity and privacy constraints while preserving statistical properties.
CT
M
Cynthia Gaelle DJUIKEM TAMOGOU
Enhancing diagnostic accuracy in healthcare: a comparative study of SVMs and deep learning models
A comparative study of SVMs and deep learning for healthcare diagnostics, balancing mathematical rigor with empirical evaluation across accuracy, sensitivity, and computational efficiency.
MM
M
Marième Mbaye
Sentiment analysis and strategic monitoring on social media
Combines classical models, deep learning, and clustering (K-Means, DBSCAN) to uncover discussion patterns and emerging trends on social media.
MI
M
Marie Diane Iradukunda
Reinforcement Learning for wireless communication network optimization
Applies Q-learning to adaptive power allocation for resource management in wireless communication networks under varying channel conditions.
2024
BN
M
Bonginkhosi Comfort Ndzinisa
Title forthcoming
2023
BS
M
Blen Belete SHEBESHE
A reinforcement learning approach in combinatorics
AN
M
Albert NTUMBA-NKONGOLO
Title forthcoming
HS
M
Haby SOW
Title forthcoming
JM
M
Jean-Claude Mitchozounou
Title forthcoming
MK
M
Moussa Konate
Title forthcoming
ON
M
Ousmane Ndao
Title forthcoming
2020
AO
M
Abraham O. Orinda
Asymmetric Topology: A New Framework in Software Engineering
Weakens the self-map conditions in Kleene's fixed-point theorem when the underlying poset comes from a $T_0$-quasi-metric space, then applies the result to asymptotic complexity analysis of algorithms with recurrence-defined runtimes.
FR
M
Fameno Rakotoniaina
The Theory of Quasi-Metric Spaces: A Topological Foundation for the Complexity of Algorithms
Uses the Baire partial metric on the set of finite words over an alphabet to analyze algorithmic complexity via fixed-point theorems in partial-metric spaces.
2019
PK
M
Precious Blessing Khumalo
A Galois connection in the quasi-metrization of an ordered metric space
A Galois connection between $\mathcal{M}(X)$ — pairs $(m, \leq)$ of a metric and a partial order — and $\mathcal{Q}(X)$, the $T_0$-quasi-metrics on $X$.
ZO
M
Zainab Olufunke Olukoga
Towards an Arbitrage Theorem in an Infinite Horizon
Extends the no-arbitrage machinery from finite to infinite horizon; a single martingale measure on the canonical filtration is not enough — a countable family is required.

Honors essays

10 essays
2022
AO
H
Adil OUMOROU-ALIOU
Title forthcoming
AI
H
Adnan IBRAHIM
Title forthcoming
FD
H
Flavien Sètchéa DOSSOU
Title forthcoming
IG
H
Isaac GBETCHOEVI
Title forthcoming
JA
H
Joé ARABA
Title forthcoming
MC
H
Mardoché CLABESSI
Title forthcoming
2020
DA
H
Diane Arlette ATINSOUNON
Les quasi-métriques : un goût des structures $T_0$
Continuation of the $T_0$-quasi-metric program: partial quasi-metrics, the specialization order, and completeness notions specific to the asymmetric setting.
2019
DS
H
Dénise Victoire Mondji SAGBO
Les quasi-métriques : un goût des structures $T_0$
A survey of recent results on quasi-metric and asymmetrically normed spaces, following the normed-space playbook (topology, continuous linear operators, geometry) and pointing to where the classical picture diverges.
IC
H
Inès Cocossou
Les espaces vectoriels asymétriquement normés et quelques objets associés
Topological structure of asymmetrically normed spaces — convergence, continuity, and the topological dual, which turns out to be a convex cone rather than a linear space.
MG
H
Médard Govoeyi
Les espaces vectoriels asymétriquement normés et quelques objets associés
Companion to Cocossou (2019) — same core question, complementary treatment of the topological duality for asymmetrically normed spaces.

Prospective students interested in asymmetric topology, fixed-point theory, TDA, or geometric ML are welcome to reach out.

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