Need to solve PDEs, and struggle with meshing? Heard about "Walk on Spheres," but didn't know where to start? Check out the awesome intro course by Rohan Sawhney and @baileymmiller1, just posted from #SGP2024: youtube.com/watch?v=1u-5b4…

Google DeepMind have produced a program that in a certain sense has achieved a silver-medal peformance at this year's International Mathematical Olympiad. 🧵 deepmind.google/discover/blog/…

#SIGGRAPH2024 Neural network and Monte Carlo are two ways to solve your PDEs without any mesh or grid. @jn_pranav combines them to push the boundary of grid-free simulations. We hope this will inspire more work combining these two approaches! See more: pranav-jain.github.io/projects/nmcfs/

Attention researchers who want some data to use! blog.activision.com/activision/202…

Signed distance functions (SDFs) are an important surface representation, which can be directly visualized via the “sphere tracing” algorithm. At #SIGGRAPH2024 we showed how to sphere trace a whole new class of surfaces, based on *harmonic functions* rather than SDFs. [1/n]

🔍Need efficient distance queries for 2D/3D meshes? Check out FCPW – a user-friendly library in C++ and Python with GPU support! 💻 Get started here: github.com/rohan-sawhney/… Also available on PyPI: pip install fcpw🐍

Signed distance functions (SDFs) are fundamental tools in graphics, vision, and physics simulation. But how do you get a high-quality SDF from messy, real-world input? At #SIGGRAPH2024, we introduced a simple method for turning "broken" geometry into a well-behaved SDF. <🧵>

Our new paper in Nature Machine Intelligence tells a story about how, and why, ML methods for solving PDEs do not work as well as advertised. We find that two reproducibility issues are widespread. As a result, we conclude that ML-for-PDE solving has reached overly optimistic conclusions.

The NVIDIA HiFi Physics team is looking for interns with interest/skills in 1⃣ Physics simulation (solids/fluids/differentiable etc) 2⃣ Digital Humans 3⃣ Neural Rendering/Geometry, Video Models 4⃣ Monte Carlo Methods 5⃣ Digital Fabrication Apply: nvidia.wd5.myworkdayjobs.com/en-US/NVIDIAEx…

There has been significant recent interest in methods that use random walks to solve PDEs. In a project to be presented at SIGGRAPH Asia (w/Ekrem Yılmazer and Delio Vicini), we investigated how to solve *inverse PDE* problems by differentiating such solvers.

We often think of an "equilibrium" as something standing still, like a scale in perfect balance. But many equilibria are dynamic, like a flowing river which is never changing—yet never standing still. These dynamic equilibria are nicely described by so-called "detailed balance"

There's a new kind of coding I call "vibe coding", where you fully give in to the vibes, embrace exponentials, and forget that the code even exists. It's possible because the LLMs (e.g. Cursor Composer w Sonnet) are getting too good. Also I just talk to Composer with SuperWhisper

You should be so lucky to have people throughout your research career that you can openly bounce ideas to and from - especially if they complement your strengths in your areas of weakness - it is a rare and precious gift.

Fun new paper at #SIGGRAPH2025: What if instead of two 6-sided dice, you could roll a single "funky-shaped" die that gives the same statistics (e.g, 7 is twice as likely as 4 or 10). Or make fair dice in any shape—e.g., dragons rather than cubes? That's exactly what we do! 1/n

Meshes with 90° angles are super useful, providing asymptotically faster convergence for finite element simulation, and optimal shape approximation (when aligned with curvature). Amazingly, no past quad meshing method could guarantee 90° angles under refinement—until now. #RSP

Logarithmic maps are incredibly useful for algorithms on surfaces--they're local 2D coordinates centered at a given source. Yousuf Soliman and I found a better way to compute log maps w/ fast short-time heat flow in "The Affine Heat Method" presented @ SGP2025 today! 🧵

After _much_ effort, I've gotten the boundary-first-flattening library compiling to WebAssembly (geometrycollective.github.io/boundary-first…) So now I can auto-unwrap UVs for meshes that triplanar mapping works badly for in Geotoy

#BestPaperAwardHonorableMention #SIGGRAPH2025 One neural PDE model, hundreds of cuts and discontinuities — simulated in real time. 🚀 Introducing WindLifter: lifting the winding number fields lets us capture discontinuities in neural fields. Come see ChangYue’s talk today 👉