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Cascading Sum-Product Networks using Robustness

Diarmaid Conaty, Jesús Martínez del Rincón, Cassio P. de Campos
2018 European Workshop on Probabilistic Graphical Models  
We discuss the characteristics of sum-product networks as classifiers and study the robustness of them with respect to their parameters.  ...  When learning sum-product networks from scarce data, the obtained model may be prone to robustness issues. In particular, small variations of parameters could lead to different conclusions.  ...  Acknowledgments We thank Renato Geh for making his source code publicly available (at https://github.com/ RenatoGeh/gospn), and Denis Mauá for numerous chats about robustness and SPNs.  ... 
dblp:conf/pgm/ConatyRC18 fatcat:qsubi33565htvmvyad4kjuhfvq

Robustness of supply chain networks against underload cascading failures [article]

Qihui Yang, Caterina Scoglio, Don Gruenbacher
2020 arXiv   pre-print
This paper aims at studying the robustness of SC networks against cascading failures.  ...  Differently from other systems studied under overload cascading failures, this system is more robust for power-law distributions than uniform distributions of the lower bound parameter for the studied  ...  Introduction Cascading failures and network robustness have been studied extensively in real-world networks such as power systems and traffic networks [2] [3] [4] [5] [6] [7] [8] [9] .  ... 
arXiv:1908.02616v3 fatcat:4nimndrzczdklpmdfydpp5t2ty

A hierarchy of sum-product networks using robustness

Diarmaid Conaty, Jesús Martínez del Rincon, Cassio P. de Campos
2019 International Journal of Approximate Reasoning  
We discuss the characteristics of sum-product networks as classifiers and study the robustness of them with respect to their parameters.  ...  When learning sum-product networks from scarce data, the obtained model may be prone to robustness issues, and where small variations of parameters could lead to different conclusions.  ...  an approach of cascading spns into what we term a Hierarchical Sum-Product Network (hspn).  ... 
doi:10.1016/j.ijar.2019.07.007 fatcat:k4fgosdfazhsxbahidieprboci

Testing how antagonistic interactions impact the robustness of plant-pollinator networks

Heather Briggs, Carolyn A. Ayers, Paul R. Armsworth, Berry J. Brosi
2019 Journal of Pollination Ecology  
Incorporating antagonistic interactions leads to lower network robustness, i.e. an increased rate of plant species loss (as compared to networks with only mutualistic interactions) in empirical plant-pollinator  ...  Still, existing robustness models typically assume that all interactions in plant-pollinator networks are positive, which is clearly not always the case.  ...  MATERIALS AND METHODS Empirical networks Following previous binary network assessments of robustness (Memmott et al. 2004 (Memmott et al. , 2007 , we used empirical network datasets to conduct our robustness  ... 
doi:10.26786/1920-7603(2019)540 fatcat:4lvx2pw76rbzdhkczwlfxkhdyy

Robustness of assembly supply chain networks by considering risk propagation and cascading failure

Liang Tang, Ke Jing, Jie He, H. Eugene Stanley
2016 Physica A: Statistical Mechanics and its Applications  
Using production capability loss as the robustness index (RI) of an ASCN, we conduct a numerical simulation to assess its robustness.  ...  h i g h l i g h t s • We construct a theoretical risk model of assembly supply chain network. • A cascading failure model based on production capability loss is developed. • We consider different disruption  ...  use different disruption scenarios to assess the robustness of ASCN.  ... 
doi:10.1016/j.physa.2016.04.030 fatcat:vs7ez2ridff55j4wenvixtft3u

Topological robustness of the global automotive industry

Alexandra Brintrup, Anna Ledwoch, Jose Barros
2015 Logistics Research  
failing companies, we just need to write the cascading number C, for a cascade range of k layers starting at node i, which is the sum of the number of elements of each radius: C i k ¼ X k #R i k ð18Þ  ...  Topology of this network defines its robustness to company failures. Let us call this perspective a supplier network.  ... 
doi:10.1007/s12159-015-0128-1 fatcat:qm7gv65t2bfopjihsngsg24b54

Distributed Monitoring for Prevention of Cascading Failures in Operational Power Grids [article]

Martijn Warnier, Stefan Dulman, Yakup Koç, Eric Pauwels
2015 arXiv   pre-print
The main ideas behind the paper are that (i) a robustness metric based on both the topology and the operative state of the power grid can be used to quantify power grid robustness and (ii) a new proposed  ...  a distributed computation method with self-stabilizing properties can be used to achieving near real-time monitoring of the robustness of the power grid.  ...  Acknowledgment This work was partly funded by the NWO project RobuSmart: Increasing the Robustness of Smart Grids through distributed energy generation: a complex network approach, grant number 647.000.001  ... 
arXiv:1507.04933v1 fatcat:4uy7xupjuzf4vddhhhkcfmfng4

Assessing the significance of knockout cascades in metabolic networks [article]

Oriol Güell, Francesc Sagués, Georg Basler, Zoran Nikoloski, M. Ángeles Serrano
2012 arXiv   pre-print
Here, we employ a cascading failure algorithm to simulate the removal of single and pairs of reactions from the metabolic networks of two organisms, and estimate the significance of the results using two  ...  Complex networks have been shown to be robust against random structural perturbations, but vulnerable against targeted attacks.  ...  Given a reaction r, its atomic mass balance is given by: r is the set of substrates and P r the set of products in r, m e , m p are the vectors of sum formulas of e and p, respectively, and s e,r , s p  ... 
arXiv:1210.2908v1 fatcat:oqvmc562xvf5blmzue64fdquiu

Not all interactions are positive: testing how antagonistic interactions impact the robustness of plant-pollinator networks [article]

Heather M Briggs, Carolyn Ayers, Paul Armsworth, Berry Brosi
2019 bioRxiv   pre-print
Incorporating antagonistic interactions leads to lower network robustness, i.e. an increased rate of plant species loss (as compared to networks with only mutualistic interactions) in empirical plant-pollinator  ...  Still, existing robustness models typically assume that all interactions in plant-pollinator networks are positive, which is clearly not always the case.  ...  et al. 2004 (Memmott et al. , 2007 , we 142 used empirical network datasets to conduct our robustness assessments.  ... 
doi:10.1101/538702 fatcat:vq6gh2prebhn5o6s5kicdvwvny

Robustness in Weighted Networks with Cluster Structure

Yi Zheng, Fang Liu, Yong-Wang Gong
2014 Mathematical Problems in Engineering  
We found that the weighting scheme based on the modified betweenness centrality makes all three networks have better robustness against edge attack than the one based on the original betweenness centrality  ...  The effect on cascade failures induced by cluster structure was investigated on three networks, small-world, scale-free, and module networks, of which the clustering coefficient is controllable by the  ...  And the lower the value of is, the stronger robustness the network would own against cascading failures.  ... 
doi:10.1155/2014/292465 fatcat:vl3c35mvzvdefa4icrjy2mihji

Assessing the significance of knockout cascades in metabolic networks

O. Güell
2012 Journal of Computational Interdisciplinary Sciences  
Here, we employ a cascading failure algorithm to simulate the removal of single and pairs of reactions from the metabolic networks of two organisms, and estimate the significance of the results using two  ...  Complex networks have been shown to be robust against random structural perturbations, but vulnerable against targeted attacks.  ...  sum formulas of e and p, respectively, and s e,r , s p,r their stoichiometric coefficients.  ... 
doi:10.6062/jcis.2012.03.01.0050 fatcat:o3lqepg73fccvbwvm4sfdfmp7y

A network approach for power grid robustness against cascading failures [article]

Xiangrong Wang, Yakup Koç, Robert E. Kooij, Piet Van Mieghem
2015 arXiv   pre-print
This paper deploys the effective graph resistance as a metric to relate the topology of a grid to its robustness against cascading failures.  ...  Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology.  ...  This paper focuses on enhancing the grid robustness against cascading failures by applying the effective graph resistance as a metric for network expansion.  ... 
arXiv:1505.06312v1 fatcat:oi4or4ywjjcyvk6itywzfepvzi

A network approach for power grid robustness against cascading failures

Xiangrong Wang, Yakup Koc, Robert E. Kooij, Piet Van Mieghem
2015 2015 7th International Workshop on Reliable Networks Design and Modeling (RNDM)  
This paper deploys the effective graph resistance as a metric to relate the topology of a grid to its robustness against cascading failures.  ...  Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology.  ...  The effective graph resistance R G is the sum of the effective resistance R ij over all pairs of nodes in the network R G = N i=1 N j=i+1 R ij .  ... 
doi:10.1109/rndm.2015.7325231 dblp:conf/mwcn/WangKKM15 fatcat:p5mddphepndexomtepqi6wq2te

A robustness metric for cascading failures by targeted attacks in power networks

Y. Koc, M. Warnier, R. E. Kooij, F. M. T. Brazier
2013 2013 10th IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC)  
The metric takes both the effect of topological features and the effect of flow dynamics on network robustness into account, using an entropy-based approach.  ...  This paper proposes a new metric to assess power network robustness with respect to cascading failures, in particular for cascading effects due to line overloads and caused by targeted attacks.  ...  Acknowledgements This work is funded by the NWO project RobuSmart: Increasing the Robustness of Smart Grids through distributed energy generation: a complex network approach, grant number 647.000.001.  ... 
doi:10.1109/icnsc.2013.6548709 dblp:conf/icnsc/KocWKB13 fatcat:ronl57mkczc6nhgkip3arjzj4a

Based on the Part of Routing Information Congestion Modeling Research with the Large-Scale Network

Shuzhao An, Zhaohui Wang
2014 International Journal of Future Generation Communication and Networking  
Through numerical simulation main findings, based on the new measure network robustness index (namely, critical production rate, there is a free flow to the phase change of the cascade configuration),  ...  According to the new measurement network robustness against cascading failures, network based on two typical models, and studies the routing parameters, the packet generation rate, congestion information  ...  network robustness against cascading failures are relatively good method.  ... 
doi:10.14257/ijfgcn.2014.7.2.17 fatcat:hpbhv7fx6bcoxku2lit635qa6q
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