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公开(公告)号:US08364446B2
公开(公告)日:2013-01-29
申请号:US12577357
申请日:2009-10-12
申请人: James M. Lewis , Michael D. Cerna , Kyle P. Gupton , James C. Nagle , Yong Rao , Subramanian Ramamoorthy , Darren R. Schmidt , Bin Wang , Benjamin R. Weidman , Lothar Wenzel , Naxiong Zhang
发明人: James M. Lewis , Michael D. Cerna , Kyle P. Gupton , James C. Nagle , Yong Rao , Subramanian Ramamoorthy , Darren R. Schmidt , Bin Wang , Benjamin R. Weidman , Lothar Wenzel , Naxiong Zhang
IPC分类号: G06F17/10
CPC分类号: G06F17/10 , G06F17/5045
摘要: System and method for approximating a system. A multi-parameter representation of a family of systems is stored. An embedding of the family into an abstract geometrical continuous space with a metric and defined by the parameters is determined. Coordinates of the space specify values for the parameters of systems of the family. The space includes a grid of points representing respective discrete approximations of the systems. A first point corresponding to a desired instance of a system is determined. The first point's coordinates specify values for the parameters of the instance. The space is sampled using a mapping of a well-distributed point set from a Euclidean space of the parameters to the abstract space. A nearest discrete point to the first point is determined which specifies values for parameters for an optimal discrete approximation of the desired instance, which are useable to implement the discrete approximation of the desired instance.
摘要翻译: 用于逼近系统的系统和方法。 存储一系列系统的多参数表示。 确定家族嵌入到具有度量并由参数定义的抽象几何连续空间中。 空间的坐标指定系列系统参数的值。 该空间包括表示系统各自的离散近似的点的网格。 确定对应于系统的期望实例的第一点。 第一点的坐标指定实例参数的值。 使用从参数的欧几里德空间到抽象空间的良好分布的点集的映射来对空间进行采样。 确定到第一点的最近离散点,其指定用于期望实例的最佳离散近似的参数的值,其可用于实现期望实例的离散近似。
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公开(公告)号:US20110087468A1
公开(公告)日:2011-04-14
申请号:US12577357
申请日:2009-10-12
申请人: James M. Lewis , Michael D. Cerna , Kyle P. Gupton , James C. Nagle , Yong Rao , Subramanian Ramamoorthy , Darren R. Schmidt , Benjamin R. Weidman , Lothar Wenzel , Naxiong Zhang , Bin Wang
发明人: James M. Lewis , Michael D. Cerna , Kyle P. Gupton , James C. Nagle , Yong Rao , Subramanian Ramamoorthy , Darren R. Schmidt , Benjamin R. Weidman , Lothar Wenzel , Naxiong Zhang , Bin Wang
IPC分类号: G06F17/17
CPC分类号: G06F17/10 , G06F17/5045
摘要: System and method for approximating a system. A multi-parameter representation of a family of systems is stored. An embedding of the family into an abstract geometrical continuous space with a metric and defined by the parameters is determined. Coordinates of the space specify values for the parameters of systems of the family. The space includes a grid of points representing respective discrete approximations of the systems. A first point corresponding to a desired instance of a system is determined. The first point's coordinates specify values for the parameters of the instance. The space is sampled using a mapping of a well-distributed point set from a Euclidean space of the parameters to the abstract space. A nearest discrete point to the first point is determined which specifies values for parameters for an optimal discrete approximation of the desired instance, which are useable to implement the discrete approximation of the desired instance.
摘要翻译: 用于逼近系统的系统和方法。 存储一系列系统的多参数表示。 确定家族嵌入到具有度量并由参数定义的抽象几何连续空间中。 空间的坐标指定系列系统参数的值。 该空间包括表示系统各自的离散近似的点的网格。 确定对应于系统的期望实例的第一点。 第一点的坐标指定实例参数的值。 使用从参数的欧几里德空间到抽象空间的良好分布的点集的映射来对空间进行采样。 确定到第一点的最近离散点,其指定用于期望实例的最佳离散近似的参数的值,其可用于实现期望实例的离散近似。
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