Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding Generalization in Adversarial Training via the
  Bias-Variance Decomposition   Adversarially trained models exhibit a large generalization gap: they can
interpolate the training set even for large perturbation radii, but at the cost
of large test error on clean samples. To investigate this gap, we decompose the
test risk into its bias and variance components and study their behavior as a
function of adversarial training perturbation radii ($\varepsilon$). We find
that the bias increases monotonically with $\varepsilon$ and is the dominant
term in the risk. Meanwhile, the variance is unimodal as a function of
$\varepsilon$, peaking near the interpolation threshold for the training set.
This characteristic behavior occurs robustly across different datasets and also
for other robust training procedures such as randomized smoothing. It thus
provides a test for proposed explanations of the generalization gap. We find
that some existing explanations fail this test--for instance, by predicting a
monotonically increasing variance curve. This underscores the power of
bias-variance decompositions in modern settings-by providing two measurements
instead of one, they can rule out more explanations than test accuracy alone.
We also show that bias and variance can provide useful guidance for scalably
reducing the generalization gap, highlighting pre-training and unlabeled data
as promising routes.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph