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    • 1. 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。
    • 3. 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。
    • 4. 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。
    • 9. 发明授权
    • Staged mixture modeling
    • 分阶段混合建模
    • US07133811B2
    • 2006-11-07
    • US10270914
    • 2002-10-15
    • Bo ThiessonChristopher A. MeekDavid E. Heckerman
    • Bo ThiessonChristopher A. MeekDavid E. Heckerman
    • G06F17/10
    • G06K9/6226G06F17/18Y10S707/99935Y10S707/99936Y10S707/99942
    • A system and method for generating staged mixture model(s) is provided. The staged mixture model includes a plurality of mixture components each having an associated mixture weight, and, an added mixture component having an initial structure, parameters and associated mixture weight. The added mixture component is modified based, at least in part, upon a case that is undesirably addressed by the plurality of mixture components using a structural expectation maximization (SEM) algorithm to modify at the structure, parameters and/or associated mixture weight of the added mixture component.The staged mixture model employs a data-driven staged mixture modeling technique, for example, for building density, regression, and classification model(s). The basic approach is to add mixture component(s) (e.g., sequentially) to the staged mixture model using an SEM algorithm.
    • 提供了一种用于生成分段混合模型的系统和方法。 分级混合物模型包括各自具有相关混合物重量的多种混合物组分,以及具有初始结构,参数和相关混合物重量的添加的混合物组分。 至少部分地,添加的混合物组分基于使用结构期望最大化(SEM)算法不期望地由多个混合物组分解决的情况进行修饰,以在结构,参数和/或相关联的混合物重量 加入的混合物组分。 分级混合模型采用数据驱动的分段混合建模技术,例如建筑密度,回归和分类模型。 基本方法是使用SEM算法将混合物组分(例如,顺序地)添加到分级混合物模型中。