I am an independent researcher working at the intersection of machine learning, inverse problems, and mathematical physics. My current work focuses on understanding how learning-based methods can approximate or accelerate the solution of classical inverse problems, particularly in settings governed by differential equations and physical laws.
In 2025, my solo-authored paper “Deceptron: Learned Local Inverses for Fast and Stable Physics Inversion” was accepted for presentation at the NeurIPS 2025 Machine Learning for Physical Sciences workshop, where I study how local learned inverse operators can emulate Gauss-Newton-style updates without explicit Jacobians. I am now developing a deeper theoretical program on inverse problems.
Beyond my current projects, I aim to contribute to the foundations of scientific machine learning, bridging operator theory, optimization, physics, and deep learning. I am particularly interested in how high-dimensional inference behaves under structural constraints, and how learning-based algorithms can reveal new mathematical viewpoints on classical physical systems.
I am currently a Grade-11 science student in Surat, India, and plan to pursue advanced study and research in mathematics, physics, and machine learning at the university level.
Education (current)
Deceptron: Learned Local Inverses for Fast and Stable Physics Inversion (Paper | Poster)
NeurIPS ML4PS, 2025 (paper & poster presentation)
(Another work in progress: A theoretical study aimed at improving stability and interpretability in inverse mappings.)
Key Research Areas
• Machine Learning for Physical Sciences
Designing learning-based methods that accelerate scientific computation, inverse problems, and physics-informed modeling.
• Theory of Inverse Problems & Numerical Analysis
Studying stability, regularity for solving nonlinear and high-dimensional inverse problems.
• Differentiable Physics & Learned Solvers
Building algorithms that combine classical numerical methods with modern deep learning to recover physical parameters efficiently.
• Foundations of Generative Modeling & Hallucinations
Developing theoretical tools to understand failure modes, and structural ideas.
• AI for Scientific Discovery
Exploring principled, interpretable machine learning frameworks that can uncover patterns, symmetries, and governing laws in complex physical systems.