论文标题
通过离散值的罚款功能正规化展开
Regularised unfolding with a discrete-valued penalty function
论文作者
论文摘要
正则化允许人们处理不良的逆问题。在这里，我们专注于离散的发展问题。结果的特性的特征在于测量结果与展开结果之间的一致性以及后响应矩阵。我们介绍了一种基于离散值的惩罚函数的新颖正规化方案，并将其绩效与简单的截止型进行比较。离散值的惩罚函数不需要需要逐案调整的正规化参数。在玩具研究中，获得了非常令人满意的结果。
Regularisation allows one to handle ill-posed inverse problems. Here we focus on discrete unfolding problems. The properties of the results are characterised by the consistency between measurements and unfolding result and by the posterior response matrix. We introduce a novel regularisation scheme based on a discrete-valued penalty function and compare its performance to that of a simple cutoff-regularisation. The discrete-valued penalty function does not require a regularisation parameter that needs to be adjusted on a case-by-case basis. In toy studies very satisfactory results are obtained.
