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    • 1. 发明申请
    • System and Method for Medical Predictive Models Using Likelihood Gamble Pricing
    • 使用似然Gamble定价的医学预测模型的系统和方法
    • US20080301077A1
    • 2008-12-04
    • US12128947
    • 2008-05-29
    • Glenn FungPhan Hong GiangHarald SteckR. Bharat Rao
    • Glenn FungPhan Hong GiangHarald SteckR. Bharat Rao
    • G06N5/04
    • G06K9/6278G06F19/00G16H50/20
    • A method for predicting survival rates of medical patients includes providing a set D of survival data for a plurality of medical patients, providing a regression model having an associated parameter vector β, providing an example x0 of a medical patient whose survival probability is to be classified, calculating a parameter vector {circumflex over (β)} that maximizes a log-likelihood function of β over the set of survival data, l(β|D), wherein the log likelihood l(β|D) is a strictly concave function of β and is a function of the scalar xβ, calculating a weight w0 for example x0, calculating an updated parameter vector β* that maximizes a function l(β|D∪{(y0,x0,w0)}), wherein data points (y0,x0,w0) augment set D, calculating a fair log likelihood ratio λƒ from {circumflex over (β)} and β* using λƒ=λ(β*|x0)+sign(λ({circumflex over (β)}|x0)){l({circumflex over (β)}|D)−l(β*|D)}, and mapping the fair log likelihood ratio λƒ to a fair price y0ƒ, wherein said fair price is a probability that class label y0 for example x0 has a value of 1.
    • 一种用于预测医疗患者的存活率的方法包括为多个医疗患者提供生存数据的集合D,提供具有相关联的参数向量β的回归模型,提供其生存概率被分类的医疗患者的示例x0 计算生存数据集合l(β| D)使β的对数似然函数最大化的参数向量{circumflex over(beta)},其中对数似然l(β| D)是严格凹函数 并且是标量xbeta的函数,计算例如x0的权重w0,计算最大化函数l(β|D∪{(y0,x0,w0)})的更新参数向量β*,其中数据点 (y0,x0,w0)增加集合D,使用lambdaf = lambda(beta * | x0)+ sign(lambda({circumflex over(beta))从{circumflex over(beta)}和beta *计算公平对数似然比lambdaf } | x0)){l({circumflex over(beta)} | D)-l(beta * | D)},并映射公平对数似然比 mbdaf以公平价格y0f,其中所述公平价格是类标签y0,例如x0具有值1的概率。
    • 2. 发明授权
    • System and method for medical predictive models using likelihood gamble pricing
    • 使用可能性赌博定价的医学预测模型的系统和方法
    • US08010476B2
    • 2011-08-30
    • US12128947
    • 2008-05-29
    • Glenn FungPhan Hong GiangHarald SteckR. Bharat Rao
    • Glenn FungPhan Hong GiangHarald SteckR. Bharat Rao
    • G06F17/00G06N5/02
    • G06K9/6278G06F19/00G16H50/20
    • A method for predicting survival rates of medical patients includes providing a set D of survival data for a plurality of medical patients, providing a regression model having an associated parameter vector β, providing an example x0 of a medical patient whose survival probability is to be classified, calculating a parameter vector {circumflex over (β)} that maximizes a log-likelihood function of β over the set of survival data, l(β|D), wherein the log likelihood l(β|D) is a strictly concave function of β and is a function of the scalar xβ, calculating a weight w0 for example x0, calculating an updated parameter vector β* that maximizes a function l(β|D∪{(y0,x0,w0)}), wherein data points (y0,x0,w0) augment set D, calculating a fair log likelihood ratio λf from {circumflex over (β)} and β* using λf=λ(β*|x0)+sign(λ({circumflex over (β)}|x0)){l({circumflex over (β)}|D)−l(β*|D)}, and mapping the fair log likelihood ratio λf to a fair price y0f, wherein said fair price is a probability that class label y0 for example x0 has a value of 1.
    • 一种用于预测医疗患者的存活率的方法包括为多个医疗患者提供生存数据的集合D,提供具有相关参数向量的回归模型,提供其生存概率为的医疗患者的示例x0 分类,计算最大化对数似然函数&bgr的参数向量{circumflex over(&bgr;)} 超过一组生存数据,l(&bgr; | D),其中对数似然l(&bgr | | D)是严格的凹函数&bgr; 并且是标量x&bgr的函数;计算例如x0的权重w0,计算更新的参数向量&bgr; *使函数l(&bgr; |D∪{(y0,x0,w0)})最大化,其中数据 点(y0,x0,w0)增加集合D,使用λf=λ(&bgr; * | x0)+符号(λ({circumflex))计算{circumflex over(&bgr;)}和&bgr; *的公平对数似然比λf over(&bgr;)} | x0)){l({circumflex over(&bgr;)} | D)-l(&bgr; * | D)},并将公平对数似然比λf映射到公平价格y0f,其中 公平价格是类标签y0(例如x0)的值为1的概率。