In this paper, we consider the regularized learning schemes based on l1-regularizer and pinball loss in a data dependent hypothesis space. The target is the error analysis for the quantile regression learning. There i...In this paper, we consider the regularized learning schemes based on l1-regularizer and pinball loss in a data dependent hypothesis space. The target is the error analysis for the quantile regression learning. There is no regularized condition with the kernel function, excepting continuity and boundness. The graph-based semi-supervised algorithm leads to an extra error term called manifold error. Part of new error bounds and convergence rates are exactly derived with the techniques consisting of l1-empirical covering number and boundness decomposition.展开更多
针对多工况条件下球磨机关键负荷参数测量面临的复杂性问题,提出基于流形正则化域适应(domain adaptation with manifold regularization,DAMR)湿式球磨机负荷参数软测量的方法。该方法首先采用集成流形约束、最大方差及最大均值差异寻...针对多工况条件下球磨机关键负荷参数测量面临的复杂性问题,提出基于流形正则化域适应(domain adaptation with manifold regularization,DAMR)湿式球磨机负荷参数软测量的方法。该方法首先采用集成流形约束、最大方差及最大均值差异寻找特征变换矩阵,然后,将源建模领域和未建模领域的特征信息投射到公共子空间,最后,在子空间建立模型得到球磨机关键负荷参数的预测值。实验结果表明该方法能以较高的精度实现未知工况下湿式球磨机关键负荷参数的预测,且该方法对于流程工业多工况软测量和过程监控研究有一定的参考价值。展开更多
文摘In this paper, we consider the regularized learning schemes based on l1-regularizer and pinball loss in a data dependent hypothesis space. The target is the error analysis for the quantile regression learning. There is no regularized condition with the kernel function, excepting continuity and boundness. The graph-based semi-supervised algorithm leads to an extra error term called manifold error. Part of new error bounds and convergence rates are exactly derived with the techniques consisting of l1-empirical covering number and boundness decomposition.
文摘针对多工况条件下球磨机关键负荷参数测量面临的复杂性问题,提出基于流形正则化域适应(domain adaptation with manifold regularization,DAMR)湿式球磨机负荷参数软测量的方法。该方法首先采用集成流形约束、最大方差及最大均值差异寻找特征变换矩阵,然后,将源建模领域和未建模领域的特征信息投射到公共子空间,最后,在子空间建立模型得到球磨机关键负荷参数的预测值。实验结果表明该方法能以较高的精度实现未知工况下湿式球磨机关键负荷参数的预测,且该方法对于流程工业多工况软测量和过程监控研究有一定的参考价值。