Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Active Slices for Sliced Stein Discrepancy   Sliced Stein discrepancy (SSD) and its kernelized variants have demonstrated
promising successes in goodness-of-fit tests and model learning in high
dimensions. Despite their theoretical elegance, their empirical performance
depends crucially on the search of optimal slicing directions to discriminate
between two distributions. Unfortunately, previous gradient-based optimisation
approaches for this task return sub-optimal results: they are computationally
expensive, sensitive to initialization, and they lack theoretical guarantees
for convergence. We address these issues in two steps. First, we provide
theoretical results stating that the requirement of using optimal slicing
directions in the kernelized version of SSD can be relaxed, validating the
resulting discrepancy with finite random slicing directions. Second, given that
good slicing directions are crucial for practical performance, we propose a
fast algorithm for finding such slicing directions based on ideas of active
sub-space construction and spectral decomposition. Experiments on
goodness-of-fit tests and model learning show that our approach achieves both
improved performance and faster convergence. Especially, we demonstrate a
14-80x speed-up in goodness-of-fit tests when comparing with gradient-based
alternatives.

24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int