Harshul Gupta
Tagline:MS Applied Mathematics, Columbia University
New York, NY, USA
About Me
Hey! I’m Harshul 👋. I’m an M.S. student in Applied Math at Columbia University with a background from IIT Guwahati. I love using math to solve real world problems, bridging the gap between abstract theory and application.
My research focuses on Mean Field Games (MFG) and Scientific ML 🧠. Whether it’s modeling drone swarms 🚁 or optimizing traffic flow 🚗, I use tools like HJB equations and PINNs to understand collective behavior.
Off the clock, I’m usually moving fast I’m a National Gold Medalist in Inline Speed Skating ⛸️ . Feel free to reach out if you want to chat about math, AI, or the best skating spots in NYC! 📬
Education
Master of Science
from: 2025, until: presentField of study:Applied MathematicsSchool:Columbia UniversityLocation:New York, NY, USA
DescriptionGPA: 4.08/4
Bachelors of Technology
from: 2020, until: 2024Field of study:Mathematics and ComputingSchool:Indian Institute of TechnologyLocation:Guwahati, Assam, India
DescriptionGPA: 8.02/10
Publications
Adaptive FedProx: A Novel Approach to Mitigating Statistical Heterogeneity in Remote Sensing
Conference PaperPublisher:IEEE ICITSIFDate:2026Authors:Harshul GuptaDescription:Federated Learning (FL) applied to remote sensing
data often encounters severe statistical heterogeneity, or Non-IID
data, when clients hold data partitioned by geographical region or
land-use type. This heterogeneity causes significant performance
degradation in standard FedAvg due to local model drift. To
mitigate this, we propose and evaluate Adaptive FedProx, a
novel extension of FedProx where the proximal regularization
hyperparameter μ is dynamically tuned based on the measured
label skew of each client’s local dataset. We test four
μ-scaling strategies on the EuroSAT dataset partitioned into
extreme Non-IID subsets (2-3 classes per client). Our optimal
formulation, Adaptive FedProx (Inverse), effectively closes the
performance gap, achieving a global accuracy of 95.26%, which
nearly matches the performance of the ideal IID FedAvg setup
(95.07%) and significantly outperforms the standard Non-IID
FedAvg (88.50%). These results demonstrate that client-aware,
adaptive regularization is critical for robust FL in remote sensing
applications.A Novel Deep Learning Framework for Coral Reef Image Classification
Journal ArticlePublisher: IEEE Asia-Pacific Geosciences, Electronics, and Remote Sensing Technology Conference (AGERS), 2025Date:2025Authors:Harshul GuptaDescription:Corals form vibrant reef ecosystems but are highly vulnerable to temperature-induced bleaching. Accurate localization of bleached corals, especially in the Great Barrier Reef, is essential for restoration efforts. Existing visual models struggle under varying illumination, orientation, and scale.
We propose a hybrid deep learning architecture combining Self-Attention with pretrained CNNs (ResNet50 and InceptionV3) to capture long-range spatial dependencies and focus on key regions. Fine-tuned on coral datasets, the model achieves 98.15% accuracy and demonstrates strong localization performance on 342 images, outperforming existing deep and traditional methods.
Teaching Assistant
MATH UN2015: Linear Algebra and Probability
From: 2025, Until: present
Organization:Columbia UniversityField:Mathematics
EECS E4764: Artificial Intelligence of Things (AIoT)
From: 2025, Until: present
Organization:Columbia UniversityField:Electrical Engineering
EECS 6891: System Optimization for AI/ML
From: 2025, Until: 2025
Organization:Columbia UniversityField:Electrical Engineering and Computer Science