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Si-Han Hu

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#artificial intelligence Preprint Oct 2026

OpenProblemBench: Benchmarking AI on Open Problems in the Foundational Theoretical Sciences

The next frontier for artificial general intelligence is tackling unresolved scientific problems, calling for benchmarks that assess progress beyond established knowledge. We introduce OpenProblemBench, a benchmark of 82 unresolved problems drawn from the mathematics and theoretical physics literature. Each problem sup...

Zhi-Yi Li, Si-Han Hu, Tian-Ning Xiao et al. · 0 citations
#artificial intelligence Preprint Oct 2026

Recursive Improvement of a Differentiable Scientific Software Ecosystem

Differentiable programming connects scientific computation with gradient-based inference, learning and design. Extending these capabilities across a heterogeneous software ecosystem requires specialized effort to implement derivatives, integrate interfaces and evaluate quality. AI coding agents can accelerate this tran...

Peng-Cheng Hou, Xiao-Jun Tan, Si-Han Hu et al. · 0 citations
#artificial intelligence Preprint Sep 2026

Large Knowledge Model: A Knowledge Foundation for Agentic Science at Scale

The Large Knowledge Model is proposed, a growing, agent-native knowledge foundation that provides a general representation of scientific knowledge across disciplines and an agent-native, reasoning-aware scientific retrieval system that retrieves claims together with their reasoning chains and sources, enabling agents t...

Yuan Huang, Si-Han Hu, Hong-Yu Gu et al. · 0 citations
Preprint Sep 2026

Persistence of BKT phase transition in the 2D nonanalytic XY model

We study the two-dimensional XY model with the nonanalytic pair potential $2[(1-\cos\delta)/2]^{p}$, whose small-angle law $\propto|\delta|^{2p}$ carries a cusp for $p<1$ and a flat bottom for $p>1$, invalidating the harmonic spin-wave expansion. Two questions arise: the nature of the low-temperature ($T$) phase and of...

Si-Han Hu, Xian Pan, Kun Chen et al. · 0 citations

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