Rebirth Studio
SiriusVega02° As10° ♉12° ♊47° ♏15° ♌30° ♒YBC

Designing Intelligent Systems

Exploring how mathematics, machine learning, and software engineering can be combined to create intelligent, human-centred systems, with a focus on computational geometry, recommendation systems, computer vision, and scalable software design.

* Tap coordinate nodes to decrypt schematic formulas
∇ L(θ) = 0
V - E + F = 2
⟨u, v⟩ ∈ ℝd
f: ℳ → ℝ2
(0,0)xy
Marianne L.-P. Portrait

Academic Background & Goals

I currently study Digital Product Architecture at Thomas More, focusing on the intersection of software engineering, UX systems, and emerging technologies. My academic journey is driven by a desire to understand not just how systems look, but how they perform, scale, and interact with complex human behaviours.

Previously, I worked in fintech and blockchain integration at Kin, a Canadian messaging platform. This role exposed me to real-world distributed systems, performance optimization, and scalable API design in production environments.

I am transitioning towards formal academic research in Computer Science and Artificial Intelligence, with active interests in Machine Learning systems, Human-Computer Interaction (HCI), Computational Geometry, and Intelligent Decision Systems.

COMPUTATIONAL
LEARNING LOG

The Computational Learning Log documents my active exploration of computer science fundamentals, mathematical foundations, and system architectures. It serves as an academic record of self-directed research, progression, and practical insights gained during my studies.

01 // LINEAR ALGEBRA

Vector Spaces & Embeddings

u · v = ∑ ui vi = ||u|| ||v|| cos θ

Exploring high-dimensional vector representations, inner product spaces, and coordinate projections that form the spatial architecture of user recommendation models.

⟨u, v⟩ ∈ ℝ
02 // CALCULUS & OPTIMIZATION

Stochastic Gradients & Descent

θt+1 = θt - η ∇θ L(θt)

Analyzing gradient fields, Hessian structures, and stochastic processes to optimize neural network cost manifolds through backpropagation systems.

x* = argmin f(x)
03 // PROBABILITY & STATS

Entropy & Divergence Geometry

DKL(P || Q) = ∫ p(x) log(p(x)/q(x)) dx

Studying information theoretic distances, probability distributions, and Kullback-Leibler measures to align model likelihood representations with real data.

D_KL(P || Q) → 0
04 // DISCRETE MATHEMATICS

Graph Structures & Networks

G = (V, E)  ⟹  A ∈ ℝ|V| × |V|

Modeling relational architectures using topological networks, adjacency matrices, and connectivity trees to study message passing in graph neural systems.

G = (V, E)

COMPUTATIONAL EXPERIMENTS

u (user)v (item)θu·v = |u||v|cosθ
experiment one

Mathematical AI Recommendation Engine

Research Question

How can vector mathematics and spatial geometry be combined to compute real-time relevance for user-matching models?

FastAPIPostgreSQLNext.jsVector Math
view repository / demo
LABEL: MARINE_SPECIESCONFIDENCE: 98.2%x_bbox: [80, 130, 320, 270]
experiment two

Fine-Tuned Marine Species Classifier

Research Question

Can lightweight computer vision models fine-tuned on a 10,000+ marine species image dataset identify species with high precision?

Computer VisionPyTorchHugging FaceGradio
view repository / demo
Euler: V - E + F = 2GEOM_ENGINE_3D
experiment three

Geometric Interaction Engine

Research Question

How can interactive three-dimensional geometry improve spatial reasoning and mathematical exploration?

WebGLThree.jsComputational Geometry
view repository / demo
BREATH: INf(t) = A·sin(ωt + φ)
experiment four

Sereno: CarPlay Wellness PWA

Research Question

How can interface state machines and ambient 3D environments adapt to CarPlay standards to support driver wellness?

Next.js 15CarPlayThree.jsState Machines
view repository / demo
Core AgentFOCUS_NODE [Active]Task Scaffolding: scaffold(priority_task)
experiment five

Human-Centred AI Task Assistant

Research Question

How can conversational agents support focus by scaffolding a 'one high-impact task per day' methodology on mobile platforms?

React NativeExpoZustandGenerative AI
view repository / demo

RESEARCH DOMAINS

I investigate how computer science, machine learning, and mathematics can be synthesised to build intelligent, human-centred systems. My research spans convolutional networks, high-dimensional vector spaces, WebGL graphics, and adaptive user state machines.

Artificial Intelligence80%
Machine Learning70%
Software Systems80%
Linear Algebra60%
Computational Geometry70%
Human-Centred Interaction80%

BEHIND

the
SCENES