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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: present

    Field of study:Applied MathematicsSchool:Columbia UniversityLocation:New York, NY, USA

    Description

    GPA: 4.08/4

  • Bachelors of Technology

    from: 2020, until: 2024

    Field of study:Mathematics and ComputingSchool:Indian Institute of TechnologyLocation:Guwahati, Assam, India

    Description

    GPA: 8.02/10

Publications

  • Adaptive FedProx: A Novel Approach to Mitigating Statistical Heterogeneity in Remote Sensing

    Conference PaperPublisher:IEEE ICITSIFDate:2026
    Authors:
    Harshul Gupta
    Description:

    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:2025
    Authors:
    Harshul Gupta
    Description:

    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

Curriculum Vitae (CV)

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