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by darkmighty
4068 days ago
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The point is, I don't even need to look up your techniques (although I did out of respect) to know there really isn't such a case; what I stated is a simple, almost trivial principle (apparently it has a name [1] as some pointed out). Mathematics models data, and you can't model without assumptions. It's like developing a theory which can't have axioms. For example, kernel regression probabilistic model is a terrible model (assumption) with very large error for a large class of distributions[2], and so on. We're talking about picking the best technique; this technique is going to pick some assumptions arbitrarily that will or will not work well based on an unclear choice of the organizers. That's why I would prefer if they stated instead "Functions with some real world relevance", or "Typical functions", or maybe "Poorly behaved functions", and so on. [1] http://en.wikipedia.org/wiki/No_free_lunch_in_search_and_opt... [2] On the wikipedia page you can see they do make assumptions on f to minimize the squared error for choosing the kernel. It's inevitable. |
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Taken from here [1]:
White-box models: This is the case when a model is perfectly known; it has been possible to construct it entirely from prior knowledge and physical insight.
Grey-box models: This is the case when some physical insight is available, but several parameters remain to be determined from observed data. It is useful to consider two subcases.
1. Physical modeling: A model structure can be built on physical grounds, which has a certain number of parameters to be estimated from data. This could, for example, be a state-space model of given order and structure.
2. Semiphysical modeling. Physical insight is used to suggest certain nonlinear combinations of measured data signal. These new signals are then subjected to model structures of black-box character.
Black-box models: No physical insight is available or used, but the chosen model structure belongs to families that are known to have good flexibility and have been 'successful in the past'.
[1] http://www.sciencedirect.com/science/article/pii/00051098950...