aaditya kachhadiya

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)

Grade 11 Science (PCM)

Shardayatan High School, India

Selected Research Highlights

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.