Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Degrees of Freedom: A Flawed Metaphor   To most applied statisticians, a fitting procedure's degrees of freedom is
synonymous with its model complexity, or its capacity for overfitting to data.
In particular, it is often used to parameterize the bias-variance tradeoff in
model selection. We argue that, contrary to folk intuition, model complexity
and degrees of freedom are not synonymous and may correspond very poorly. We
exhibit and theoretically explore various examples of fitting procedures for
which degrees of freedom is not monotonic in the model complexity parameter,
and can exceed the total dimension of the response space. Even in very simple
settings, the degrees of freedom can exceed the dimension of the ambient space
by an arbitrarily large amount. We show the degrees of freedom for any
non-convex projection method can be unbounded.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess