The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Recentemente, a computação estocástica baseada em números estocásticos atrai a atenção como um método de computação eficaz, que realiza operações aritméticas por circuitos lógicos simples com tolerância a erros de bit. Quando inserimos dois ou mais valores idênticos em um circuito estocástico, precisamos duplicar um número estocástico. No entanto, se os fluxos de bits de números estocásticos duplicados forem dependentes uns dos outros, os resultados de suas operações aritméticas poderão ser imprecisos. Neste artigo, propomos dois duplicadores de números estocásticos, chamados FSR e RRR. Os números estocásticos duplicados pelos duplicadores FSR e RRR têm valores equivalentes, mas possuem fluxos de bits independentes, utilizando efetivamente o rearranjo de bits usando fluxos de bits aleatórios. Os resultados da avaliação experimental demonstram que o duplicador RRR, em particular, obtém resultados mais precisos mesmo se um circuito tiver caminhos de reconvergência, reduzindo os erros quadráticos médios em 20% -89% em comparação com um duplicador de números estocásticos convencional.
Ryota ISHIKAWA
Waseda University
Masashi TAWADA
Waseda University
Masao YANAGISAWA
Waseda University
Nozomu TOGAWA
Waseda University
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Ryota ISHIKAWA, Masashi TAWADA, Masao YANAGISAWA, Nozomu TOGAWA, "Stochastic Number Duplicators Based on Bit Re-Arrangement Using Randomized Bit Streams" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 7, pp. 1002-1013, July 2018, doi: 10.1587/transfun.E101.A.1002.
Abstract: Recently, stochastic computing based on stochastic numbers attracts attention as an effective computation method, which realizes arithmetic operations by simple logic circuits with a tolerance of bit errors. When we input two or more identical values to a stochastic circuit, we require to duplicate a stochastic number. However, if bit streams of duplicated stochastic numbers are dependent on each other, their arithmetic operation results can be inaccurate. In this paper, we propose two stochastic number duplicators, called FSR and RRR. The stochastic numbers duplicated by the FSR and RRR duplicators have the equivalent values but have independent bit streams, effectively utilizing bit re-arrangement using randomized bit streams. Experimental evaluation results demonstrate that the RRR duplicator, in particular, obtains more accurate results even if a circuit has re-convergence paths, reducing the mean square errors by 20%-89% compared to a conventional stochastic number duplicator.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1002/_p
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@ARTICLE{e101-a_7_1002,
author={Ryota ISHIKAWA, Masashi TAWADA, Masao YANAGISAWA, Nozomu TOGAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stochastic Number Duplicators Based on Bit Re-Arrangement Using Randomized Bit Streams},
year={2018},
volume={E101-A},
number={7},
pages={1002-1013},
abstract={Recently, stochastic computing based on stochastic numbers attracts attention as an effective computation method, which realizes arithmetic operations by simple logic circuits with a tolerance of bit errors. When we input two or more identical values to a stochastic circuit, we require to duplicate a stochastic number. However, if bit streams of duplicated stochastic numbers are dependent on each other, their arithmetic operation results can be inaccurate. In this paper, we propose two stochastic number duplicators, called FSR and RRR. The stochastic numbers duplicated by the FSR and RRR duplicators have the equivalent values but have independent bit streams, effectively utilizing bit re-arrangement using randomized bit streams. Experimental evaluation results demonstrate that the RRR duplicator, in particular, obtains more accurate results even if a circuit has re-convergence paths, reducing the mean square errors by 20%-89% compared to a conventional stochastic number duplicator.},
keywords={},
doi={10.1587/transfun.E101.A.1002},
ISSN={1745-1337},
month={July},}
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TY - JOUR
TI - Stochastic Number Duplicators Based on Bit Re-Arrangement Using Randomized Bit Streams
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1002
EP - 1013
AU - Ryota ISHIKAWA
AU - Masashi TAWADA
AU - Masao YANAGISAWA
AU - Nozomu TOGAWA
PY - 2018
DO - 10.1587/transfun.E101.A.1002
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2018
AB - Recently, stochastic computing based on stochastic numbers attracts attention as an effective computation method, which realizes arithmetic operations by simple logic circuits with a tolerance of bit errors. When we input two or more identical values to a stochastic circuit, we require to duplicate a stochastic number. However, if bit streams of duplicated stochastic numbers are dependent on each other, their arithmetic operation results can be inaccurate. In this paper, we propose two stochastic number duplicators, called FSR and RRR. The stochastic numbers duplicated by the FSR and RRR duplicators have the equivalent values but have independent bit streams, effectively utilizing bit re-arrangement using randomized bit streams. Experimental evaluation results demonstrate that the RRR duplicator, in particular, obtains more accurate results even if a circuit has re-convergence paths, reducing the mean square errors by 20%-89% compared to a conventional stochastic number duplicator.
ER -