HypGraphs: An Approach for Analysis and Assessment of Graph-Based and Sequential Hypotheses

The analysis of sequential patterns is a prominent research topic. In this paper, we provide a formalization of a graph-based approach, such that a directed weighted graph/network can be extended using a sequential state transformation function, that “interprets” the network in order to model state transition matrices. We exemplify the approach for deriving such interpretations, in order to assess these and according hypotheses in an industrial application context. Specifically, we present and discuss results of applying the proposed approach for topology and anomaly analytics in a large-scale real-world sensor-network.

[1]  TongHanghang,et al.  Graph based anomaly detection and description , 2015 .

[2]  Martin Atzmüller,et al.  Detecting community patterns capturing exceptional link trails , 2016, 2016 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).

[3]  Birgit Vogel-Heuser,et al.  Combining Knowledge Modeling and Machine Learning for Alarm Root Cause Analysis , 2013, MIM.

[4]  Steve Harenberg,et al.  Anomaly detection in dynamic networks: a survey , 2015 .

[5]  A. Hotho,et al.  HypTrails: A Bayesian Approach for Comparing Hypotheses About Human Trails on the Web , 2014, WWW.

[6]  Marc Plantevit,et al.  A method for characterizing communities in dynamic attributed complex networks , 2014, 2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014).

[7]  Birgit Vogel-Heuser,et al.  Criteria-based Alarm Flood Pattern Recognition using Historical Data from Automated Production Systems (aPS) , 2015 .

[8]  David Krackardt,et al.  QAP partialling as a test of spuriousness , 1987 .

[9]  Denis Helic,et al.  Memory and Structure in Human Navigation Patterns , 2014, ArXiv.

[10]  Shlomo Moran,et al.  The stochastic approach for link-structure analysis (SALSA) and the TKC effect , 2000, Comput. Networks.

[11]  Andreas Hotho,et al.  SparkTrails: A MapReduce Implementation of HypTrails for Comparing Hypotheses About Human Trails , 2016, WWW.

[12]  Martin Atzmüller,et al.  Data Mining on Social Interaction Networks , 2013, J. Data Min. Digit. Humanit..

[13]  Denis Helic,et al.  Detecting Memory and Structure in Human Navigation Patterns Using Markov Chain Models of Varying Order , 2014, PloS one.

[14]  Danai Koutra,et al.  Graph based anomaly detection and description: a survey , 2014, Data Mining and Knowledge Discovery.

[15]  Douglas M. Hawkins Identification of Outliers , 1980, Monographs on Applied Probability and Statistics.

[16]  Martin Atzmüller,et al.  DASHTrails: An Approach for Modeling and Analysis of Distribution-Adapted Sequential Hypotheses and Trails , 2016, WWW.

[17]  Birgit Vogel-Heuser,et al.  Detection of Temporal Dependencies in Alarm Time Series of Industrial Plants , 2014 .

[18]  Ingo Mierswa,et al.  YALE: rapid prototyping for complex data mining tasks , 2006, KDD '06.

[19]  Christopher C. Strelioff,et al.  Inferring Markov chains: Bayesian estimation, model comparison, entropy rate, and out-of-class modeling. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Jirachai Buddhakulsomsiri,et al.  Sequential pattern mining algorithm for automotive warranty data , 2009, Comput. Ind. Eng..

[21]  Dominik Benz,et al.  Community Assessment Using Evidence Networks , 2010, MSM/MUSE.