Vassilis Katsouros, Vassilis Papavassiliou and Christos Emmanouilidis
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1 Vassilis Katsouros, Vassilis Papavassiliou ad Christos Emmaouilidis ATHENA Research & Iovatio Cetre, Greece christosem AT ieee.org
2 Problem defiitio Modelig Results Discussio - coclusio
3 Applied research, prototypes ad applicatios developmet Dissemiatio ad R&D results valorizatio Research Iovatio support Traiig ad kowledge trasfer 3
4 Idustrial Systems Istitute Istitute for the Maagemet of Iformatio Systems Istitute for Laguage ad Speech Processig Idustrial Iformatio & Commuicatio Systems Embedded Systems Eterprise Itegratio Security & Privacy Idustrial Automatio & Cotrol ICT i Maufacturig Large-scale iformatio systems Data maagemet Big data Geo-iformatics Databases Software egieerig Digital curatio Bio-iformatics E-Govermet Natural & Embodied Laguage Processig Multimedia, 2D/3D imagig & VR Itelliget Systems Speech ad Music Techology Techology-Ehaced Learig Cultural Iformatics Corallia Iovatio Clusters Develop iovative ecosystems i specific sectors ad regios of the coutry, ad where a competitive advatage ad export orietatio exists Nao/Microelectroics-based Systems ad Applicatios (mi-cluster) Iovative Gamig Techologies ad Creative Cotet (gi-cluster) Space Techologies ad Applicatios (si-cluster) Iitiatio of R&D Projects
5 welcom-project.ceti.gr Wireless sesor etworks for egieerig asset lifecycle optimal maagemet
6 Worked with differet modelig approaches Best results obtaied with a Bayesia classificatio approach defie distict problem classes oe for each problem type calculate the posterior probability of a test case for each problem class recommed the problem class that correspods to the maximum a posteriori (MAP) probability
7 case: cosists of a collectio of evet codes, each of which correspods to a umber of parameters a record of a case ca be defied as a sigle evet code alog with the respective measuremet parameters 30 parameters of oboard measuremets, recorded each time a evet code was geerated 1 dataset of cases with their evet codes ad respective parameters for traiig ad aother 1 for testig/evaluatio The traiig dataset icluded the classificatio of the cases ito uisace or problem for the cases classified as problems, the correspodig problem label/idetifier was also provided.
8 Traiig dataset: records that correspod to cases of which were characterized as uisace ad 164 as problem (13 distict problem IDs) Testig dataset: records of evet codes measured parameters that correspod to distict cases. Groud truth of the testig dataset ivolved 174 problem cases, with the remaiig beig uisace cases A recommeder should idetify the problem cases from the testig cases ad for each oe of them provide the respective problem idetifier. Evaluatio metric: calculated o a set of cases that ivolved all 174 groud truth problem cases ad a radom selectio of 174 from the total of uisace cases.
9 maximum performace: 348, i.e. sum of 174 groud truth problem cases ad 174 uisace that the traiig dataset icludes oe case with a problem type idetifier (P7940) that is ot foud i the test dataset test dataset icludes cases that have bee categorized i two problem types (P0932 ad P6880) for which there is o available traiig data Problem ID Traiig dataset Test dataset Number of Cases P P P P P P P P P P P P P P P Total
10 Pr P j C k Pr C k P j Pr[ C k Pr[ P ] j ] Bayes rule
11 P 1 C k P 2 P P C 3 P arg max log Pr Pr C P Pr log P PrP P M k jj j1... MMM j k k k jj j j
12 C C C C P Pr E E... E P Pr k j 1 2 k k k Nk j C C C E P Pr E P...Pr E P Pr j 1 2 k k k j Nk j Assumig idepedece amog evets
13 Cosider the case IDs as colums of a matrix NK N N K K K e e e e e e e e e e e e Cosider the evet IDs as rows of a matrix The elemets e ij of the matrix is the umber of occurreces of evet i beig observed i case j
14 Agai case IDs are the colums of the matrix With the rows beig the problem IDs Ad elemets 0 or 1
15 C k P 1 C log Pr[ Ck Pj ] log Pr E Pj P i1 2 P 3 P M N k k i
16 Cosider the problem IDs as colums of a matrix NM N N M M M Cosider the evet IDs as rows of a matrix The elemets ij of the matrix is the umber of occurreces of evet i is observed i a case that is classified i problem j
17 Add a ε term whe ij = 0 to avoid zero probabilities E 1 E 2 P 1 P 2 P M p p p p N1 p p p p E PrE 3 i Pj E N N 2 N p p p i1 p 1M 2M ij 3M NM ij
18 P 1 P 2 P M p p... 1 Pr P j 2 N i1 M N j1 i1 pij M ij
19 Problem ID Number of Cases Top-1 Top-3 Top-5 P P P P P P P P P P P P P Total Overall (%)
20 Problem ID Number of Cases Top-1 Top-2 Top- 3 Top-4 Top-5 P P P P P P P P P P P P Total Overall (%)
21 Gaussia Mixture Models (GMMs) for each problem ID traied o the case to evets parameters Diagoal covariace type No. of Gaussia mixtures 10 Best score: 18 Support Vector Machies (SVM) classifiers with features the case to evets parameters Radial Basis Kerel Best score: 35
22 A hybrid techique comprisig: (a) A recommeder for problem type ID (b) A classifier for uisace / problem Tried the proposed (a) approach with a SVM-based (b) approach but the gai i uisace rate detectio was balaced by the loss i problem ID idetificatio ad there was o time left for further improvemets
23 A Bayesia Approach for the Maiteace Actio Recommedatio 2013 PHM Data Challege was proposed A hybrid techique could achieve improved results The defiitio of evaluatio metrics for differet PHM problems is a key issue How about data challeges with multiple objectives?
24 Vassilis Katsouros, Vassilis Papavassiliou ad Christos Emmaouilidis ATHENA Research & Iovatio Cetre, Greece christosem AT ieee.org
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