Anima Anandkumar guest posts on Terence Tao's blog: PINNs find Euler singularity candidates
AnimaAnandkumar · x · 2026-09-11
Anima Anandkumar announced a guest post on Terence Tao's blog explaining how her team uses physics-informed neural networks (PINNs) to discover singularity candidates for unforced Euler in R³, rather than relying on human-constructed ones.
Key points:
- First time PINN optimization works for unforced Euler in R³
- The numerical solution is converted into certified bounds used in analytical stability arguments, bridging numerical computation and analysis
- The team believes these tools have much broader applications in theory
- Neural Operators have already powered applications including the first AI-based high-resolution weather model
Tao has discussed this work since its September 7th launch.
Related event: Anandkumar Uses PINNs to Find Euler Singularity Candidates(2 posts)→
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