Author

Tianning Xiao

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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

Preprint Aug 2026

Two-dimensional percolation with algebraically decaying interactions II: Critical exponents in the long-range regime

We present a comprehensive Monte Carlo study of two-dimensional bond percolation with algebraically decaying connection probabilities $p(r)\propto 1/r^{2+\sigma}$, establishing the universality diagram in the long-range (LR) regime for $\sigma\le2$. Using the event-based ensemble method, we simulate systems with linear...

Zi-Yu Liu, Tian-Ning Xiao, Zhi-Jie Fan et al. · 2 citations