research Perception for Home Robot Experimenting with various NeRF and Gaussian Splatting based SLAM algorithms to build a real-time 3D reconstruction of the environment. The methods used include NeRF-SLAM, Nice SLAM, Mip-NeRF and Splatam. Low Rank Matrix Recovery A in-depth analysis of problem formulations for low-rank matrix recovery such as Robust Principal Component Pursuit, and algorithms such as ALM and Dual Optimization. Extended the approach to applications such as Foreground-Background separation in videos. Saturation Noise in Compressed Sensing An in-depth analysis of compressive signal recovery methods in the presence of Gaussian noise and Saturation effects. Conducted experiments on synthetic signals, images and audio. Also derived a detailed proof for performance guarantees of the novel Likelihood Maximization method. Stable Diffusion Models A brief introduction to image synthesis applications, stable diffusion models and its applications. Stochastic Primal-Dual Network for 3D Tomographic reconstruction Developed a stochastic version of primal-dual algorithm for reconstructing image volumes from CT scans. Implemented a python framework with custom Tensorflow layers and a library using Astra to aid the project. Permutation Noise in Compressed Sensing Analysis of permutation noise in linear measurement applications. Has a prominent application in group testing for Covid 19. Proposed a hypothesis testing based correction algorithm along with theory and experiments. Quantum Money Motivation for Quantum Money. Description of different quantum money schemes - secret and public key based. Detailed analysis of various adaptive attacks on secret-key schemes and briefly touches upon the soundness of public-key schemes. self Stock Analysis A report on Stock Markets, Options Trading and Technical Analysis. Object Detection using YOLOv8 An exploration of different libraries such as `ultralytics` and `fiftyone` to train YOLO on COCO for object detection to understand ML pipelines. Instance Segmentation using U-Net Developed a U-Net for instance segmentation using custom dataloaders and pre-processing techniques on PyTorch on the COCO dataset. Image Colorization An image colorization application that converts black and white images to colored ones using pix2pix model. Also includes interactive digit recognition webapp. Virtual Keyboard
