Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Provable robustness against all adversarial $l_p$-perturbations for
  $p\geq 1$   In recent years several adversarial attacks and defenses have been proposed.
Often seemingly robust models turn out to be non-robust when more sophisticated
attacks are used. One way out of this dilemma are provable robustness
guarantees. While provably robust models for specific $l_p$-perturbation models
have been developed, we show that they do not come with any guarantee against
other $l_q$-perturbations. We propose a new regularization scheme,
MMR-Universal, for ReLU networks which enforces robustness wrt $l_1$- and
$l_\infty$-perturbations and show how that leads to the first provably robust
models wrt any $l_p$-norm for $p\geq 1$.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg