讨论小组 发表于 2025-3-21 19:21:38
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Stochastic Complexitys in the algorithmic theory, the complexity is the primary notion, which then allows us to define the more intricate notion of information. Our plan is to define the complexity in terms of the shortest code length when the data is encoded with a class of models as codes. In the previous section we sConscientious 发表于 2025-3-22 16:35:39
Structure Functionity. For this we have to construct the analog of Kolmogorov complexity and to generalize Kolmogorov’s model as a finite set to a statistical model. The Kolmogorov complexity .(.) will be replaced by the . for the model class .. (5.40) and the other analogs required will be discussed next. In this se合群 发表于 2025-3-22 17:55:12
Optimally Distinguishable Modelsmaximal number of . models that can be obtained from data of size .. His idea of distinguishability is based on differential geometry and is somewhat intricate, mainly because it is defined in terms of covers of the parameter space rather than partitions. The fact is that any two models . and ., noFlustered 发表于 2025-3-22 23:21:51
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Applicationsis the true data-generating distribution. This means that the theory does not take into account the effect of having to fit the hypotheses as models to data, and hence whatever has been deduced must have a fundamental defect. The second fundamental flaw in the theory is that there is no rational quaJubilation 发表于 2025-3-23 06:58:48
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