Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust and Provably Monotonic Networks   The Lipschitz constant of the map between the input and output space
represented by a neural network is a natural metric for assessing the
robustness of the model. We present a new method to constrain the Lipschitz
constant of dense deep learning models that can also be generalized to other
architectures. The method relies on a simple weight normalization scheme during
training that ensures the Lipschitz constant of every layer is below an upper
limit specified by the analyst. A simple residual connection can then be used
to make the model monotonic in any subset of its inputs, which is useful in
scenarios where domain knowledge dictates such dependence. Examples can be
found in algorithmic fairness requirements or, as presented here, in the
classification of the decays of subatomic particles produced at the CERN Large
Hadron Collider. Our normalization is minimally constraining and allows the
underlying architecture to maintain higher expressiveness compared to other
techniques which aim to either control the Lipschitz constant of the model or
ensure its monotonicity. We show how the algorithm was used to train a
powerful, robust, and interpretable discriminator for heavy-flavor decays in
the LHCb realtime data-processing system.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat