A Latent-Space Statistical Learning Framework for Semicontinuous Outcomes: Regularized Deviance and Boundary-Stabilized Optimization
半连续结果的潜在空间统计学习框架:正则化偏差与边界稳定优化
Semicontinuous outcomes characterized by an exact zero mass and heavy-tailed continuous distributions challenge empirical risk modeling and machine learning. Compound Poisson-Gamma Tweedie processes impose a rigid mean-variance coupling that distorts zero-mass probabilities under extreme tail dispersion, flattening continuous density and reducing extreme-risk discrimination. Furthermore, heuristic post-hoc target capping introduces systematic bias while leaving loss…