Super-resolution

This project utilized a deep-learning-based model to generate a super-resolution map of a weather front impacting the western coast of Norway on January 1, 2021. The low-resolution ERA-5 dataset, with a \(30 \times 30 \, \text{km}^2\) resolution was fed into the model to produce a high-resolution output with a finer grid of \(2.5 \times 2.5 \, \text{km}^2\). PyTorch served as the core framework for developing and training the super-resolution model. The generated map reveals more detailed atmospheric features, with three highlighted points indicating the positions of synoptic weather stations.

Courtesy of [StormGeo]

Bayesian Time Series Modelling

This project employs a Hamiltonian Monte Carlo (HMC) approach to estimate the parameters of an autoregressive AR(1) process. The visualisation shows one specific parameter, the scale factor (Φ). The red line represents the true value of the parameter at each time step, while the darker lines depict 2,000 trace samples from the HMC process. For this inference, we utilized the JAX library for automatic differentiation and the probabilistic programming framework NumPyro to facilitate efficient sampling and parameter estimation.

Gaussian Processes

Wind speed is a critical atmospheric parameter, and precise forecasting of wind speed can offer substantial advantages across a wide range of applications. The visualization demonstrates the application of Gaussian processes to model the hourly wind speed data recorded over a 72-hour period. For this analysis, the scikit-learn library was utilized to facilitate the fitting process..

Synthetic Apperture Radar (SAR) Interferometry

The goal of this project was to estimate ground subsidence and rise in the Oslo area, phenomena that pose significant risks to buildings and infrastructure over time. Synthetic Aperture Radar (SAR) interferometry was employed, a precise and advanced technique for monitoring surface changes on Earth. This project utilized Sentinel-1 satellite data, covering a one-year period from 2019 to 2020. The estimated data points, representing areas of ground movement, were geotagged and visualized using MapBox, providing an intuitive and informative map of subsidence and uplift across Oslo. Click on the image to explore the map.

Object Detection in Satellite Imagery

This image showcases a deep-learning-driven system designed to estimate traffic density and parking availability in downtown Toronto, Canada. Each red bounding box marks a detected vehicle, identified using an object detection algorithm. The satellite image was divided into smaller tiles to enhance detection accuracy and enable efficient processing. The model leverages high-resolution satellite imagery to provide insights into urban traffic patterns and parking space occupancy. This proof of concept highlights the potential of AI for smart city applications, enabling better traffic management and infrastructure planning in busy urban areas.

Exploring the Three-Body Problem: A Computational Perspective

This video demonstrates a variation of the three-body problem, where three objects are placed at the vertices of a right triangle. The system is solved numerically using a set of fourth-order Runge-Kutta equations that I wrote in C++. At each time step, Newton’s equations of motion are computed, but at one point, the blue and green bodies diverge rapidly. This instability arises from a very small separation between these objects, leading to extreme forces. A potential fix involves setting a minimum distance threshold to prevent such divergences in calculations.

Object Detection

This proof of concept (POC) aimed to improve the safety of motorcycle riders by developing an early warning system for when they are approached by speeding emergency vehicles, such as police cars, ambulances, or fire trucks. High-speed motorcycle riders often struggle to hear sirens on highways, which poses a significant safety risk. The POC involved utilizing a lightweight and efficient object detection system, utilizing onboard cameras and an Nvidia Jetson Nano kit, mounted on an electric motorcycle. The goal was to create an efficient, real-time alert mechanism that could help riders respond quickly to approaching emergency vehicles.