关于基于观测的逆问题可识别性的说明

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-08-26 DOI:arxiv-2408.14616

Marian Petrica, Ionel Popescu

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引用次数: 0

摘要

本文涉及如何处理逆问题的几个主题。有两种不同的思路。一种方法基于莫尔斯定理。另一种方法是基于解析性，证明对于某些特定类别的动态系统，逆问题的解的数量一般是孤立的。

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A note on identifiability for inverse problem based on observations

In this paper we cover a few topics on how to treat inverse problems. There are two different flows of ideas. One approach is based on Morse Lemma. The other is based on analyticity which proves that the number of solutions to the inverse problems is generically isolated for some particular class of dynamical systems.

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arXiv - MATH - Classical Analysis and ODEs

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