ML
PROJECTS

Sushi Adventure

Experience the ultimate sushi exploration with Sushi Adventure, a website dedicated to uncovering the hidden gems of the Los Angeles sushi world. With our recommendation system, we curate personalized sushi recommendations based on ratings, reviews, and price information. Find the perfect sushi spot that aligns with your preferences and embark on a memorable dining experience.

Tech used: HTML, CSS, JavaScript, Python, Flask, Machine Learning, Data Analysis, Yelp Fusion API, Git/GitHub, Responsive Design, Full-Stack Development, Front-End Development, Back-End Development, Web Application, User Experience (UX), Data Visualization, Deployment (e.g., Heroku, GCP, AWS)

Lucky Parking (Hack for LA)

As a passionate volunteer with Hack for LA, I am actively involved in a project focused on visualizing parking data to drive understanding of the effects of parking policies on a neighborhood-by-neighborhood basis in the vibrant City of Los Angeles. Leveraging my technical expertise, I have successfully connected a robust data pipeline to the API and seamlessly integrated Google Cloud Platform (GCP) with Looker. This collaborative effort aims to provide stakeholders with an intuitive platform that presents comprehensive parking data in a visually compelling manner.
By volunteering my skills and contributing to this project, I am playing a crucial role in empowering communities to make data-informed decisions regarding urban planning and transportation strategies. Through the visualization of parking data, we aim to raise awareness, facilitate meaningful discussions, and drive positive change in the City of Los Angeles.

Tech Used: Data pipelines, APIs, Google Cloud Platform (GCP), Looker, Data visualization, Data analysis, Urban planning, Transportation data

Document Summarizer

Document Summarizer is a cutting-edge project that transforms the way we handle extensive text content. In today's information-driven world, having a tool that can swiftly and accurately distill key insights from lengthy documents is crucial. Using state-of-the-art natural language processing techniques, Document Summarizer automatically analyzes and condenses large text documents into clear and concise summaries. Whether you're a researcher, student, or professional working with research papers, reports, or articles, this tool will significantly streamline your workflow, saving you valuable time and effort.

Tech used: Natural Language Processing (NLP), Text Summarization, Machine Learning, Artificial Intelligence, Python, Flask, OpenAI, GPT-3, Web Application, API Integration, Text Processing, Data Science, Software Development, GitHub, Command Line Interface (CLI), Text Analysis, Sentiment Analysis, Language Model, Information Extraction, Data Preprocessing

PHD/FELLOWSHIP RESEARCH

Clustering whole-exome sequences of breast cancer and associations with staging and molecular subtype (second author)

I was a coauthor on this research paper during my fellowship at City of Hope. This was my first experience with cancer research! Here are the conclusions of the paper: "Our approach, which uses unsupervised machine learning on WES to create genetic groups of cancers, considers the joint mutational state – present or absent – of multiple genes for their clinical relevance. This reveals many additional variants that may have been previously overlooked or of uncertain significance."

The Splitting Theorem and Topology of Noncompact Spaces with Nonnegative N-Bakry Émery Ricci Curvature

In my research paper, I present a generalization of topological findings previously established for noncompact manifolds with nonnegative Ricci curvature. Specifically, I extend these results to spaces characterized by nonnegative N-Bakry Émery Ricci curvature. The study focuses on investigating the Splitting Theorem and the geodesic loops to infinity property within the context of spaces exhibiting nonnegative N-Bakry Émery Ricci curvature. Furthermore, I demonstrate that if Mn represents a complete, noncompact Riemannian manifold with nonnegative N-Bakry Émery Ricci curvature, where N>n, the homology group Hn−1(M,ℤ) is determined to be 0. This research has been published in the Proceedings of the AMS.

Locally Homogeneous Non-gradient Quasi-Einstein 3-Manifolds.

[arXiv]

In this paper, we classify the compact locally homogeneous non-gradient m-quasi Einstein 3-manifolds. Along the way, we prove that given a compact quotient of a Lie group of any dimension that is m-quasi Einstein, the potential vector field X must be left invariant and Killing. We also classify the nontrivial m-quasi Einstein metrics that are a compact quotient of be the product of two Einstein metrics. We also show that S1 is the only compact manifold of any dimension which admits a metric which is nontrivially m-quasi Einstein and Einstein. This research has been published in the Advances in Geometry.

My thesis:

I'm so excited to share my thesis with you, and I hope you'll find it as fun to read as I found it enjoyable to write! All illustrations in the thesis were created using Procreate and Gravit.

Abstract: The thesis begins with an intuitive introduction to calculus on manifolds for non-mathematicians, followed by a semi-intuitive explanation of Ricci curvature for non-geometers. We provide descriptions of N-Bakry-Émery Ricci curvature and N-quasi Einstein metric.
The main focus of this thesis revolves around the N-Bakry-Émery Ricci curvature and N-quasi Einstein metric.
Our first set of key results encompasses the generalization of topological findings previously established for noncompact manifolds with nonnegative Ricci curvature to spaces exhibiting nonnegative N-Bakry Émery Ricci curvature. We delve into the exploration of the Splitting Theorem and a property known as the geodesic loops to infinity property in relation to spaces characterized by nonnegative N-Bakry Émery Ricci curvature. Additionally, we prove that if M^n is a complete, noncompact Riemannian manifold with nonnegative N-Bakry Émery Ricci curvature, where N > n, then the homology group Hn-1(M, Z) is 0.
In our second set of major findings, we classify compact locally homogeneous non-gradient N-quasi Einstein 3-manifolds. Along the way, we establish that for a compact quotient of a Lie group of any dimension that is N-quasi Einstein, the potential vector field X must be both left invariant and Killing. Furthermore, we provide a classification of nontrivial N-quasi Einstein metrics that are compact quotients of the product of two Einstein metrics. Lastly, we demonstrate that S^1 is the sole compact manifold of any dimension that admits a metric which is nontrivially N-quasi Einstein and Einstein.

An example related to the N-Bakry-Émery Ricci curvature and a punctured torus

Abstract:This is a note about relates to the N-Bakry-Émery Ricci curvature and the punctured torus. Specifically, we attempt to answer the question,“Can a punctured torus admit metrics which satisfy nonnegative ∞-Bakry-Émery Ricci curvature?"

RESUME

LINKS

Email

Feel free to message me at the email address above for professional things!

This is a blog that I made where I'm documenting my understanding of machine learning theory. I'm also having fun using procreate and html+css tools. Let me know if you have suggestions or comments.

Linkedin

I also welcome Linkedin messages about professional things. If you'd like to have a zoom call, please message me here!

Github

This is what I'm currently working on. Let's collaborate!