Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted p-bits for FPGA implementation of probabilistic circuits   Probabilistic spin logic (PSL) is a recently proposed computing paradigm
based on unstable stochastic units called probabilistic bits (p-bits) that can
be correlated to form probabilistic circuits (p-circuits). These p-circuits can
be used to solve problems of optimization, inference and also to implement
precise Boolean functions in an "inverted" mode, where a given Boolean circuit
can operate in reverse to find the input combinations that are consistent with
a given output. In this paper we present a scalable FPGA implementation of such
invertible p-circuits. We implement a "weighted" p-bit that combines stochastic
units with localized memory structures. We also present a generalized tile of
weighted p-bits to which a large class of problems beyond invertible Boolean
logic can be mapped, and how invertibility can be applied to interesting
problems such as the NP-complete Subset Sum Problem by solving a small instance
of this problem in hardware.

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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc