Pattern recognition is a poor fit for fat long tails of exceptions. It's not just the data, it's the model category. You could say that ML models are stereotyping machines.
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Almost any ML method could be made statistically robust, ie resistant to outliers.
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Is this the same thing as high "bias" in a "bias vs variance" sense, or are you referring to something different? It seems like what you are describing is a system too "simple" (in some way) to capture all the underlying dynamics of the thing it's trying to model.
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Is that not an issue at some point to treat scale effect? Should you not renormalize using ref value? A little bit like in physics / engineering when you non dimensionalise.
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