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Model for reconstructing a causation process from time varying data describing an event and for predicting the evolution dynamics of the event
Model for reconstructing a causation process from time varying data describing an event and for predicting the evolution dynamics of the event
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机译:用于从描述事件的时变数据重构因果过程并预测事件的演化动态的模型
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摘要
A method of reconstructing a causation process from time varying data describing an event, the data consisting in a certain number of entities each having a position in a space, and each of the entities being characterized by at least a quantity or value relatively to at least one feature and in the quantity or value relatively to at least one of the features of the entities at least at two different times or at each time instant of a sequence of time instants;the method describing the higher likelihood transition of all entities i, j from the time n to the time n+1 as a function of the position coordinate of the entity I and of the entity j and the quantity of the at least one feature of the entity I and of the entity j at the time n and at the time n+1:Mi,j[n,n+1]=ψ(xi,yi,qi[n],qi[n+1],xj,yj,qj[n],qj[n+1]).the function determining the strength of the connection between each entity i at time n and each other entity j at time n+1;the method determining the source causing changes in quantity of the entity j from the time n to the time n+1 as the entity i for which the strength of connection is a maximum.;The invention relates also to a method of predicting the evolution dynamics of an event or process starting from the information about the causation process obtained from the above function.
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机译:一种从描述事件的时变数据重构因果过程的方法,该数据由一定数量的实体组成,每个实体在空间中均具有位置,并且每个实体的特征在于至少相对于至少一个数量或值至少在两个不同的时间或在一系列时间序列的每个时间点,相对于实体的至少一个特征的一个特征和数量或价值;一种方法,该方法描述所有实体i,j从时间n到时间n + 1的较高似然性转换,它是实体I和实体j的位置坐标以及数量的函数在时间n和时间n + 1时实体I和实体j的至少一个特征:<?in-line-formulae description =“ In-line Formulae” end =“ lead”?> M I> i,j Sub> [n,n + 1] Sup> =ψ( x I> i Sub> ,y I> i Sub> ,q I> < Sub> i Sub> [n] Sup> ,q I> i Sub> [n + 1] Sup> , x I> j Sub> ,y I> j Sub> ,q I> j Sub> [n] Sup> ,q I> j Sub> [n + 1] Sup>)。<?in-line-formulae description =“ In- line Formulae“ end =” tail“?> ListItem> 该函数确定在时间n的每个实体i与在时间n的每个其他实体j之间的连接强度时间n + 1; ListItem> 确定导致实体j数量从时间n到时间n + 1发生变化的源的方法对于其连接强度最大的i。 ListItem> UnorderedList> ListItem> UnorderedList>;本发明还涉及一种从关于以下信息的信息开始预测事件或过程的演化动态的方法。因果关系从上述功能获得离子过程。
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