Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ising Model Optimization Problems on a FPGA Accelerated Restricted
  Boltzmann Machine   Optimization problems, particularly NP-Hard Combinatorial Optimization
problems, are some of the hardest computing problems with no known polynomial
time algorithm existing. Recently there has been interest in using dedicated
hardware to accelerate the solution to these problems, with physical annealers
and quantum adiabatic computers being some of the state of the art. In this
work we demonstrate usage of the Restricted Boltzmann Machine (RBM) as a
stochastic neural network capable of solving these problems efficiently. We
show that by mapping the RBM onto a reconfigurable Field Programmable Gate
Array (FPGA), we can effectively hardware accelerate the RBM's stochastic
sampling algorithm. We benchmark the RBM against the DWave 2000Q Quantum
Adiabatic Computer and the Optical Coherent Ising Machine on two such
optimization problems: the MAX-CUT problem and finding the ground state of a
Sherrington-Kirkpatrick (SK) spin glass. On these problems, the hardware
accelerated RBM shows best in class performance compared to these other
accelerators, with an empirical scaling performance of $\mathcal{O}(e^{-N})$
for probability of reaching the ground state compared to a similar empirical
$\mathcal{O}(e^{-N})$ for the CIM (with the RBM showing a constant factor of
improvement over the CIM) and empirical $\mathcal{O}(e^{-N^2})$ for the DWave
Annealer. The results show up to $10^7$x and $10^5$x time to solution
improvement compared to the DWave 2000Q on the MAX-CUT and SK problems
respectively, along with a $150$x and $1000$x performance increase compared to
the Coherent Ising Machine annealer on those problems. By using commodity
hardware running at room temperature for acceleration, the RBM also has greater
potential for immediate and scalable use.

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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg