Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast 2D Convolutions and Cross-Correlations Using Scalable Architectures   The manuscript describes fast and scalable architectures and associated
algorithms for computing convolutions and cross-correlations. The basic idea is
to map 2D convolutions and cross-correlations to a collection of 1D
convolutions and cross-correlations in the transform domain. This is
accomplished through the use of the Discrete Periodic Radon Transform (DPRT)
for general kernels and the use of SVD-LU decompositions for low-rank kernels.
The approach uses scalable architectures that can be fitted into modern FPGA
and Zynq-SOC devices. Based on different types of available resources, for
$P\times P$ blocks, 2D convolutions and cross-correlations can be computed in
just $O(P)$ clock cycles up to $O(P^2)$ clock cycles. Thus, there is a
trade-off between performance and required numbers and types of resources. We
provide implementations of the proposed architectures using modern programmable
devices (Virtex-7 and Zynq-SOC). Based on the amounts and types of required
resources, we show that the proposed approaches significantly outperform
current methods.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys