2 min readfrom Machine Learning

Ph.D. thesis on Differentiable Ray Tracing for Radio Propagation Modeling [R]

Our take

My Ph.D. thesis, now available at [https://hdl.handle.net/2078.5/278727](https://hdl.handle.net/2078.5/278727), explores Differentiable Ray Tracing for Radio Propagation Modeling, framed as an accessible textbook. This work integrates automatic differentiation—specifically, frameworks like JAX—into ray tracing, enabling gradient-based optimization for next-generation wireless design. The manuscript is structured to guide users through fundamental physics, algorithmic implementation, and practical applications, including channel modeling. For those interested in related techniques, consider "Torch

The recent completion of a Ph.D. thesis on Differentiable Ray Tracing for Radio Propagation Modeling represents a significant step forward in bridging the gap between physics-based simulation and machine learning. The author’s decision to structure the thesis as an accessible textbook, rather than a collection of papers, is particularly noteworthy, promising a wider audience understanding of this complex intersection. It’s exciting to see research tackling fundamental challenges in wireless communications leveraging techniques increasingly familiar to the broader machine learning community. This work builds upon recent advancements in differentiable programming; as evidenced by articles like TorchJD: Training with multiple losses in PyTorch, the ability to compute gradients through complex models and systems is unlocking new avenues for optimization and innovation. The author's reliance on JAX and contributions to open-source libraries like DiffeRT further solidify its accessibility and potential for widespread adoption.

The core innovation lies in the ability to compute exact gradients through complex physical environments using frameworks like JAX. This allows for a paradigm shift in wireless design – moving beyond traditional iterative optimization techniques to directly train machine learning models that account for the intricacies of radio propagation. The three-part structure of the thesis—Understanding, Building, and Using—is a smart design, ensuring a comprehensive learning experience. The emphasis on practicality, with applications ranging from channel modeling to material calibration and ML-assisted generative path sampling, highlights the tangible benefits of this approach. It's a departure from purely theoretical research, demonstrating a commitment to translating scientific discovery into actionable tools. The collaborative spirit showcased through the author's acknowledgement of Patrick Kidger and his contributions to JAX packages is also commendable, illustrating the power of open-source development in advancing scientific frontiers, a sensibility echoed in our own exploration of performance improvements through systems like ClickHouse, as detailed in Switching from PostgreSQL to ClickHouse for Improved Performance and Scalability.

The broader significance of this work extends beyond wireless communications. The principles and techniques developed in this thesis are broadly applicable to any field requiring accurate and efficient modeling of wave propagation, such as optics, acoustics, and even computational fluid dynamics. The focus on reproducibility, with readily available source code and presentation materials, is crucial for fostering trust and accelerating further research. This aligns with a growing trend toward open science and collaborative knowledge creation, which is vital for progress. It’s also worth noting the potential implications for areas like generative AI, where differentiable simulations could be used to create realistic and physically accurate synthetic data. The ability to train AI models directly on simulated data, bypassing the need for large, labeled datasets, could revolutionize areas like materials discovery and robotics. Further, the explicit connection to empirical validation—calibrating material properties using simulation—points toward a powerful feedback loop between theoretical models and real-world observations, a direction that resonates with observations regarding successful enterprise AI deployments, as highlighted in Box survey: Why enterprise AI leaders are outperforming their peers.

Looking ahead, a key question is how this differentiable ray tracing approach will scale to even more complex and realistic environments. While GPU acceleration addresses some performance limitations, the computational cost of simulating large-scale systems remains a challenge. Furthermore, exploring the integration of this technology with other AI techniques, such as reinforcement learning, could unlock even more powerful capabilities for optimizing wireless networks and designing novel communication systems. The work represents a compelling demonstration of how the principles of automatic differentiation can be applied to solve real-world problems in a physically grounded setting, and we'll be closely watching its evolution and impact on the field.

Hi everyone, I recently finished my Ph.D. thesis on Differentiable Ray Tracing for Radio Propagation Modeling. Instead of just compiling my published papers, I tried to write it as an accessible, self-contained textbook for anyone interested in the intersection of radio propagation simulation, autodiff, and ML.

While my research focuses on wireless communications rather than pure ML, I think it fits right in here. A major part of the project revolves around automatic differentiation. By taking frameworks like JAX out of their traditional ML context and integrating differentiability into a ray tracing pipeline, we can compute exact gradients through complex physical environments. This allows us to solve inverse problems and directly train machine learning models, which is currently a hot topic in next-gen wireless design.

To make the physics and the math easy to digest, the manuscript is split into three parts:

  • Understanding: The physics fundamentals (electromagnetic theory, geometrical optics, and diffraction).
  • Building: The algorithmic core, including GPU-accelerated path tracing and the discontinuity smoothing techniques you need to actually make differentiable simulations stable.
  • Using: Practical applications like channel modeling, localization, material calibration, and ML-assisted generative path sampling.

A major focus of my thesis is the link between scientific research and reproducible open-source software. On that note, I want to give a massive shoutout to Patrick Kidger (u/patrickkidger). His own thesis inspired me to go the "textbook way" for my manuscript, and I heavily relied on his fantastic JAX packages (jaxtyping, equinox, and optimistix) when developing my open-source libraries, such as DiffeRT.

I hope you find it an interesting read! I'd be happy to answer any questions in the comments about differentiable simulation, ray tracing, or building ray tracing engines in JAX :-)

If you are curious, you can watch the presentation slides and video teaser here

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