Quotient networks

Fishburn, Finkel - IEEE Transactions on Computers, 1982 - ieeexplore.ieee.org
… Abstract-A large-network algorithm solves a problem of size N on a network of N processors…
certain large networks into quotient networks that emulate those large networks with fewer …

Bifurcations from regular quotient networks: a first insight

MAD Aguiar, APS Dias, M Golubitsky… - Physica D: Nonlinear …, 2009 - Elsevier
… Assuming a bifurcation occurs for a coupled cell system restricted to the quotient network, …
networks, new branches of solutions occur besides the ones that occur in the quotient network. …

Network quotients: Structural skeletons of complex systems

Y Xiao, BD MacArthur, H Wang, M Xiong… - Physical Review E …, 2008 - APS
quotient which we call the s-quotient. Then we show that quotients can be substantially smaller
than the network … inherited by the quotient and the s-quotient from the “parent” network. In …

[HTML][HTML] Quotient Network-A Network Similar to ResNet but Learning Quotients

P Hui, J Zhao, C Li, Q Zhu - Algorithms, 2024 - mdpi.com
… The network changes the learning goal to the quotient between the new and the old features…
by the quotient, so we call our network the quotient network. This network can perfectly …

Sum-product-quotient networks

O Sharir, A Shashua - International Conference on Artificial …, 2018 - proceedings.mlr.press
… Specifically, we show that by adding a quotient node, ie a … quotient nodes, to which there
is no equivalent in classical SPNs. The following condition captures our motivation of a quotient

QUOTIENT: Two-party secure neural network training and prediction

N Agrawal, A Shahin Shamsabadi, MJ Kusner… - Proceedings of the …, 2019 - dl.acm.org
… We present QUOTIENT, a new method for discretized training of DNNs, along with a cus…
our proposed QUOTIENT on real-world datasets. We show that: (i) QUOTIENT incurs only a …

On quotients of stochastic networks over finite fields

L Lin, Z Jiang, H Lin, ECH Ngai… - … on Control of Network …, 2023 - ieeexplore.ieee.org
… finite-field networks (SFFNs) via the quotient-transition-… SFFN and has a comparatively
smaller network scale. First, with … interface “Quotient Generator” to obtain the quotients for any …

On quotients of Boolean control networks

R Li, Q Zhang, T Chu - Automatica, 2021 - Elsevier
… consider quotientquotient system then naturally captures the quotient dynamics of this
BCN, so we propose to develop a Boolean system that generates the transitions of the quotient

Tensor network quotient takes the vacuum to the thermal state

B Czech, G Evenbly, L Lamprou, S McCandlish, X Qi… - Physical Review B, 2016 - APS
… on a circle is related to a certain quotient of the vacuum on a line. We explain how to take
this quotient in the MERA tensor network representation of the vacuum and confirm the validity …

Quotients of probabilistic Boolean networks

R Li, Q Zhang, T Chu - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
networks between which the PBN switches in a stochastic manner. This article focuses on the
study of quotients of … system then automatically captures the quotient behavior of this PBN. …