4 papers · 1 filter
Smoothness criterion for Fano orbifolds and bases of Lagrangian fibrations
Zhiyu Liu
We establish a smoothness criterion for Fano varieties with quotient singularities. As an application, we show that if is a Lagrangian fibration from a compact hyper-Kähle…
One-Step Score-Based Density Ratio Estimation
Wei Chen, Qibin Zhao, John Paisley +2
Density ratio estimation (DRE) is a useful tool for quantifying discrepancies between probability distributions, but existing approaches often involve a trade-off between estimatio…
Towards Disentangled Preference Optimization Dynamics: Suppress the Loser, Preserve the Winner
Wei Chen, Yubing Wu, Junmei Yang +5
Preference optimization is widely used to align large language models (LLMs) with human preferences. However, many margin-based methods also suppress the chosen response when they…
A Minimum Variance Path Principle for Accurate and Stable Score-Based Density Ratio Estimation
Wei Chen, Jiacheng Li, Shigui Li +4
Score-based methods are powerful across machine learning, but they face a paradox: theoretically path-independent, yet practically path-dependent. We resolve this by proving that p…