Author

Utkarsh Utkarsh

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#artificial intelligence Jun 2026

SNAP-FM: Sparse Nonlinear Accelerated Projection for Physics-Constrained Generative Modeling

This work exploits the structure that sample-wise batching and local PDE couplings induce in the projection subproblems, exposing this structure using ExaModels.jl and GPU sparse factorization to show that sparse GPU nonlinear optimization is a practical foundation for constrained generative sampling in scientific mach...

Alaina Kolli, Theodoros G. Xenakis, Utkarsh Utkarsh et al. · arXiv.org · 0 citations

Jul 2026

Reinforcement Learning with Verifiable Physics: Post-training LLMs with Continuous Rewards

This work introduces RLVP: Reinforcement Learning with Verifiable Physics, an RL post-training framework for multi-PDE solver code generation and shows that a smaller LLM post-trained with RLVP can outperform prompting a frontier model on in-distribution PDE solver generation.

Pengfei Cai, Utkarsh Utkarsh, Alan Edelman et al. · arXiv.org · 0 citations