Ying Wang

The Faber-Krahn inequality for the logarithmic Hardy operator holds for $\mu \in (-1, 0)$ but breaks down for $\mu > 0$, revealing a critical phase transition in spectral geometric inequalities.

Pretrained visual encoders are a temporary crutch: encoder-free multimodal architectures close the performance gap with encoder-based systems at roughly $10^{22}$ FLOPs, well within current frontier pretraining budgets.

CBPO redefines credit assignment in RLVR, enabling precise decision sensitivity that boosts performance across diverse benchmarks.