The framework is a computational pipeline for the procedural generation and physical evolution of complex manifolds.
By decoupling geometric topology from dynamical integration, the system enables simulations ranging from
stable orbital dynamics to
morphogenesis
within a unified, high-throughput execution context.
Manifold Sampling
A module for generating uniformly distributed 1D, 2D, and 3D geometry.
- GC-aware loops & out-parameter patterns.
- AABB, importance weighting & iterative rejection.
- LUT, uniform arc-length & binary search sampling.
- Efficient spatial transformations of composites.
Dynamical Systems
A time-integration core for state evolutions under arbitrary vector fields.
- State derivatives & semi-implicit Euler.
- GPU-native & CPU cache-friendly memory layout.
- CPU-to-GPU
Float32Array buffer streaming.
- Zero-copy views via
.subarray().
Case study: Morphogenesis
A case study in complex systems, applying the engine to the Hydrophobic-Polar (HP) model and what I call a Homogeneous Relaxation (HR) of high-entropy initial states.
Note: [ I am no expert in biology. ] The (HP) model and the (HR) process are used here as a simplified, toy abstractions to explore the capabilities of the engine, not to make claims about real biophysical mechanisms.
- Bypassing O(N2) bottleneck.
- Spatial Hash Grid.
- Hyperparameter Optimization.
- Thermal Brownian motion.
Parallel Stochastic & Numerical Integration
Parallel
Execution Model
O(N/P)
Time Complexity
Pthreads
Sync Pattern
Implementation and optimization of multi-threaded algorithms for Monte Carlo estimation and numerical integration. Execution throughput was improved by transitioning from serial bottlenecks to statically scheduled parallel loops utilizing thread-local random number generators. Performance-critical operations were benchmarked by comparing OpenMP directives against manual Pthreads synchronization to minimize thread-contention overhead.
C OpenMP Pthreads High-Performance Computing
One-Sided Wars: Reddit Polarity Asymmetries
858K+
Hyperlinks
PageRank
Centrality Modeling
LIWC
Linguistic Inquiry
An investigation into social network dynamics via the analysis of sentiment imbalances in cross-community hyperlinks. A normalized Asymmetry Score was engineered to classify inter-community relationships into "Mutual Rivalries" or "One-sided Hostilities." The study utilized Welch’s t-tests and Random Forest models to identify linguistic markers that distinguish organic community growth from targeted "attacker" behavior. Network influence was further quantified through weighted PageRank distributions across user-defined community roles.
Python Pandas Scikit-Learn NetworkX Scipy NLP
Biometric Signal Processing: Minutiae Extraction
Zhang-Suen
Thinning Algorithm
Regression
Orientation Analysis
Matching
Geometric Transform
Development of a biometric authentication engine from first principles. The system processes raw fingerprint images through an iterative thinning pipeline to isolate ridge bifurcations. Precision orientation vectors were computed via linear regression, while matching logic utilized coordinate-system transformations (rotation/translation) to resolve feature alignment across differing image frames.
Java Linear Regression Image Processing Computer Vision
Wanderwave: Geospatial Music Discovery
A location-based social system designed to bypass algorithmic "filter bubbles" by mapping music to physical coordinates. Developed using an MVVM architecture in Kotlin, the system synchronizes real-time user proximity data with distributed "beacons" via Firebase and the Spotify API. High-frequency geospatial updates were optimized to maintain state consistency across a distributed mobile network.
Kotlin Jetpack Compose Firebase Google Maps API Android SDK