3 papers
cs.LG2026
Athena: Enhancing Multimodal Reasoning with Data-efficient Process Reward Models
Shuai Wang, Zhenhua Liu, Jiaheng Wei +3
We present Athena-PRM, a multimodal process reward model (PRM) designed to evaluate the reward score for each step in solving complex reasoning problems. Developing high-performanc…
math.DG2025
On a conjecture of Almgren: area-minimizing submanifolds with fractal singularities
Zhenhua Liu
We construct area-minimizing submanifolds with fractal singular sets on compact Riemannian manifolds. Thus, we settle a conjecture by Almgren and our answer is sharp dimensionwise.…
physics.pop-ph2025
Practical Quantum Advantage for Boosting Citations
Zhenhuan Liu
Realizing practical quantum advantage with meaningful economic impact is the holy grail of the quantum information field. Recent quantum technology advances have driven exponential…