发表机构
Oakland University（奥克兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究凸正则化线性逆问题解映射的孤立平静性，建立切锥刻画，并证明对分段线性二次正则化器该性质等价于解唯一性，且分析稀疏情形可用线性规划验证。
AI 中文摘要
本文研究由凸正则化线性逆问题产生的解映射的孤立平静性性质。我们主要建立了该性质的切锥刻画。对于凸分段线性二次正则化器，孤立平静性与解的唯一性一致，从而得到简单的验证程序。特别地，对于分析稀疏正则化，我们的条件可通过线性规划验证。
英文摘要
This paper studies the isolated calmness property of solution mappings arising from convex regularized linear inverse problems. We mainly establish a tangent-cone characterization of this property. For convex piecewise linear-quadratic regularizers, the isolated calmness coincides with the solution uniqueness, leading to simple verification procedures. In particular, for analysis sparsity regularization, our condition can be verified by linear programming.
