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    • 4. 发明授权
    • Visualization of high-dimensional data
    • 高维数据的可视化
    • US06519599B1
    • 2003-02-11
    • US09517138
    • 2000-03-02
    • D. Maxwell ChickeringDavid E. HeckermanChristopher A. MeekRobert L. RounthwaiteAmir NetzThierry D'Hers
    • D. Maxwell ChickeringDavid E. HeckermanChristopher A. MeekRobert L. RounthwaiteAmir NetzThierry D'Hers
    • G06F1730
    • G06F17/30994Y10S707/99945
    • Visualization of high-dimensional data sets is disclosed, particularly the display of a network model for a data set. The network, such as a dependency or a Bayesian network, has a number of nodes having dependencies thereamong. The network can be displayed items and connections, corresponding to nodes and dependencies, respectively. Selection of a particular item in one embodiment results in the display of the local distribution associated with the node for the item. In one embodiment, only a predetermined number of the items are shown, such as only the items representing the most popular nodes. Furthermore, in one embodiment, in response to receiving a user input, a sub-set of the connections is displayed, proportional to the user input. In another embodiment, a particular item is displayed in an emphasized manner, and the particular connections representing dependencies including the node represented by the particular item, as well as the items representing nodes also in these dependencies, are also displayed in the emphasized manner. Furthermore, in one embodiment, only an indicated sub-set of the items is displayed.
    • 公开了高维数据集的可视化,特别是显示数据集的网络模型。 诸如依赖关系或贝叶斯网络的网络具有多个具有依赖关系的节点。 网络可以分别显示对应于节点和依赖关系的项目和连接。 在一个实施例中,特定项目的选择导致与项目的节点相关联的本地分布的显示。 在一个实施例中,仅显示预定数量的项目,诸如仅表示最受欢迎节点的项目。 此外,在一个实施例中,响应于接收到用户输入,显示与用户输入成比例的连接的子集。 在另一个实施例中,以强调方式显示特定项目,并且还以强调的方式显示表示依赖性的特定连接,包括由特定项目表示的节点以及表示节点的项目也在这些依赖关系中。 此外,在一个实施例中,仅显示所指示的项目子集。
    • 5. 发明授权
    • Systems and methods for new time series model probabilistic ARMA
    • 新时间序列模型概率ARMA的系统和方法
    • US07580813B2
    • 2009-08-25
    • US10463145
    • 2003-06-17
    • Bo ThiessonChristopher A. MeekDavid M. ChickeringDavid E. Heckerman
    • Bo ThiessonChristopher A. MeekDavid M. ChickeringDavid E. Heckerman
    • G06F17/50G05B23/02
    • G06F17/18
    • The present invention utilizes a cross-prediction scheme to predict values of discrete and continuous time observation data, wherein conditional variance of each continuous time tube variable is fixed to a small positive value. By allowing cross-predictions in an ARMA based model, values of continuous and discrete observations in a time series are accurately predicted. The present invention accomplishes this by extending an ARMA model such that a first time series “tube” is utilized to facilitate or “cross-predict” values in a second time series tube to form an “ARMAxp” model. In general, in the ARMAxp model, the distribution of each continuous variable is a decision graph having splits only on discrete variables and having linear regressions with continuous regressors at all leaves, and the distribution of each discrete variable is a decision graph having splits only on discrete variables and having additional distributions at all leaves.
    • 本发明利用交叉预测方案来预测离散和连续时间观测数据的值,其中每个连续时间管变量的条件方差固定为小的正值。 通过在基于ARMA的模型中允许交叉预测,可以准确预测时间序列中连续和离散观测值。 本发明通过扩展ARMA模型来实现这一目的,使得第一时间序列“管”用于促进或“交叉预测”第二时间序列管中的值以形成“ARMAxp”模型。 一般来说,在ARMAxp模型中,每个连续变量的分布是仅在离散变量上分裂并具有在所有叶上具有连续回归的线性回归的决策图,并且每个离散变量的分布是仅分解为 离散变量,并在所有叶子上具有额外的分布。
    • 8. 发明授权
    • Efficient determination of sample size to facilitate building a statistical model
    • 有效确定样本量以便建立统计模型
    • US07409371B1
    • 2008-08-05
    • US09873719
    • 2001-06-04
    • David E. HeckermanChristopher A. MeekBo Thiesson
    • David E. HeckermanChristopher A. MeekBo Thiesson
    • G06N5/00
    • G06N99/005
    • A model is constructed for an initial subset of the data using a first parameter estimation algorithm. The model may be evaluated, for example, by applying the model to a holdout data set of the data. If the model is not acceptable, additional data is added to the data subset and the first parameter estimation algorithm is repeated for the aggregate data subset. An appropriate subset of the data exists when the first parameter estimation algorithm produces an acceptable model. The appropriate subset of the data may then be employed by a second parameter estimation algorithm, which may be a more accurate version of the first algorithm or a different algorithm altogether, to build a statistical model to characterize the data.
    • 使用第一参数估计算法为数据的初始子集构建模型。 可以例如通过将模型应用于数据的保持数据集来评估该模型。 如果模型不可接受,则向数据子集添加附加数据,并且针对聚合数据子集重复第一参数估计算法。 当第一参数估计算法产生可接受的模型时,存在数据的适当子集。 然后可以通过第二参数估计算法来采用数据的适当子集,第二参数估计算法可以是第一算法的更准确的版本或者完全不同的算法,以构建用于表征数据的统计模型。
    • 9. 发明授权
    • Handwriting recognition with mixtures of Bayesian networks
    • 具有贝叶斯网络混合的手写识别
    • US07003158B1
    • 2006-02-21
    • US10075962
    • 2002-02-14
    • John BennettDavid E. HeckermanChristopher A. MeekBo Thiesson
    • John BennettDavid E. HeckermanChristopher A. MeekBo Thiesson
    • G06K9/00
    • G06K9/00422G06K9/6296
    • The invention performs handwriting recognition using mixtures of Bayesian networks. A mixture of Bayesian networks (MBN) consists of plural hypothesis-specific Bayesian networks (HSBNs) having possibly hidden and observed variables. A common external hidden variable is associated with the MBN, but is not included in any of the HSBNs. Each HSBN models the world under the hypothesis that the common external hidden variable is in a corresponding one of its states. The MBNs encode the probabilities of observing the sets of visual observations corresponding to a handwritten character. Each of the HSBNs encodes the probabilities of observing the sets of visual observations corresponding to a handwritten character and given a hidden common variable being in a particular state.
    • 本发明使用贝叶斯网络的混合来执行手写识别。 贝叶斯网络(MBN)的混合由多个具有隐藏和观察变量的假设特定贝叶斯网络(HSBN)组成。 常见的外部隐藏变量与MBN相关联,但不包括在任何HSBN中。 每个HSBN在假设下共同的外部隐藏变量处于相应的一个状态的模型中模拟世界。 MBN编码观察对应于手写字符的视觉观察组的概率。 每个HSBN编码观察对应于手写字符的视觉观察组的概率,并给出处于特定状态的隐藏的公共变量。