MAS-PNCG accelerates IPC by incrementally updating multilevel MAS preconditioners via Sparse-Input Woodbury, adding Hessian-aware 2D subspace minimization and per-subdomain CCD, achieving up to 5.66x speedup over Newton-PCG baselines.
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SageMath-augmented ReAct agents raise solve rates by +9.7 pp on average on a curated 133-problem RealMath subset, with GPT-5.5 reaching 75.2%.
The Guitar nebula's pulsar appears to accelerate electrons to within ~3/4 of the theoretical maximum potential, and its brightness is best explained by the pulsar crossing an old supernova remnant's compressed, magnetized shell.
A geometric 1-form on token embeddings has curvature that couples to semantic world models in language models, as evidenced by clustering on chess board regions and piece importance.
New effective potentials derived from projections of the Einstein equations approximate GR corrections in Newtonian core-collapse supernova simulations and match full GR results closely.
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An Efficient Multilevel Preconditioned Nonlinear Conjugate Gradient Method for Incremental Potential Contact
MAS-PNCG accelerates IPC by incrementally updating multilevel MAS preconditioners via Sparse-Input Woodbury, adding Hessian-aware 2D subspace minimization and per-subdomain CCD, achieving up to 5.66x speedup over Newton-PCG baselines.
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Evaluating SageMath-Augmented LLM Agents for Computational and Experimental Mathematics
SageMath-augmented ReAct agents raise solve rates by +9.7 pp on average on a curated 133-problem RealMath subset, with GPT-5.5 reaching 75.2%.
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Guitar Nebula: extreme accelerator in extreme environment
The Guitar nebula's pulsar appears to accelerate electrons to within ~3/4 of the theoretical maximum potential, and its brightness is best explained by the pulsar crossing an old supernova remnant's compressed, magnetized shell.
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A geometric relation of the error introduced by sampling a language model's output distribution to its internal state
A geometric 1-form on token embeddings has curvature that couples to semantic world models in language models, as evidenced by clustering on chess board regions and piece importance.
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Approximating General Relativity in Core-Collapse Supernova Simulations
New effective potentials derived from projections of the Einstein equations approximate GR corrections in Newtonian core-collapse supernova simulations and match full GR results closely.