Method for mapping high-dimensional samples to reduced-dimensional manifolds
- 申请公布号：
- US2004091152(A1)
- 申请号：
- US20020292843
- 申请日期：
- 2002.11.12
- 申请公布日期：
- 2004.05.13
- 申请人：
- BRAND MATTHEW E.
- 发明人：
- BRAND MATTHEW E.
- 分类号：
- G06K9/62;(IPC1-7):G06K9/62;G06K9/00
- 主分类号：
- G06K9/62
- 摘要：
- A method determines mappings between high-dimensional measured samples and a reduced-dimensional manifold. Samples are acquired of a physical system. The samples have a high number of dimensions. A low number of dimensions are determined for a manifold embedded in a space of the high-dimensional samples. Local charts having the dimensions of the low number of dimensions of the manifold are fitted to selected high-dimensional samples. The charts are then connected to determine a forward mapping from any high-dimensional sample to a coordinate on the manifold and a reverse mapping from any coordinate on the manifold to a corresponding point in high-dimensional sample space.
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