4 papers
Information-Calibrated Quantum Diffusion: Aligning Forward Noise with Reverse Recoverability
Qipeng Qian, Yuntao Qian
Quantum diffusion models typically parameterize forward corruption by raw channel strength, even though this parameter does not directly quantify how much ensemble information is e…
When Does Forecasting Reveal Temporal Structure? A Stability Analysis of Time-Series Structural Selection
Qipeng Qian, Yuntao Qian
Forecast accuracy is often used as a proxy for temporal structure discovery, but predictive performance and structural identifiability are not equivalent. Different temporal mechan…
An Hybrid Quantum-Classical Diffusion Model for Image Generation
Qipeng Qian, Keli Deng, Yuntao Qian
Quantum diffusion models provide a physics-consistent route to generative learning by formulating noising and denoising directly on quantum states. However, applying such models to…
Learning Heat-based Equations in Self-similar variables
Shihao Wang, Qipeng Qian, Jingquan Wang
We study solution learning for heat-based equations in self-similar variables (SSV). We develop an SSV training framework compatible with standard neural-operator training. We inst…