4 papers · 1 filter
HYVINT: Intensity-Driven Hypergraph Generation with Variational Embeddings
Xinyi Hong, Shuntuo Xu, Zhou Yu
Hypergraphs provide a principled framework for modeling polyadic interactions, with applications in recommendation systems, social networks, and molecular modeling. Hypergraph gene…
On Conditional Stochastic Interpolation for Generative Nonlinear Sufficient Dimension Reduction
Shuntuo Xu, Zhou Yu, Jian Huang
Identifying low-dimensional sufficient structures in nonlinear sufficient dimension reduction (SDR) has long been a fundamental yet challenging problem. Most existing methods lack…
Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift
Shuntuo Xu, Zhou Yu, Jian Huang
The density ratio is an important metric for evaluating the relative likelihood of two probability distributions, with extensive applications in statistics and machine learning. Ho…
Neural Networks Perform Sufficient Dimension Reduction
Shuntuo Xu, Zhou Yu
This paper investigates the connection between neural networks and sufficient dimension reduction (SDR), demonstrating that neural networks inherently perform SDR in regression tas…