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ProblemsDetectionand Monitoring It
+and+is+based+on+a+distribution-free+mutual+information+(MI)+estimator.+Our+scheme+does+not+require+prior+faulty+examples+and+can+be+applied+distribution-free+over+a+large+class+of+system+models.+Our+core+contributions+are+twofold.+First%252C+we+demonstrate+the+connection+between+fault+detection%252C+model+drift+detection%252C+and+testing+independence+between+two+random+variables.+Second%252C+we+prove+several+theoretical+properties+of+the+proposed+MI-based+fault+detection+scheme%3a+(i)+strong+consistency%252C+(ii)+exponentially+fast+detection+of+the+non-faulty+case%252C+and+(iii)+control+of+both+significance+levels+and+power+of+the+test.+To+conclude%252C+we+validate+our+theory+with+synthetic+data+and+the+benchmark+dataset+N-CMAPSS+of+aircraft+turbofan+engines.+These+empirical+results+support+the+usefulness+of+our+methodology+in+many+practical+and+realistic+settings%252C+and+the+theoretical+results+show+performance+guarantees+that+other+methods+cannot+offer.&cdnurl=https%3a%2f%2fth.bing.com%2fth%2fid%2fR.c7bf0c8e747d054427efc6fabb110ef7%3frik%3dLjX%252frzoNe1fuqg%26pid%3dImgRaw%26r%3d0&exph=630&expw=1200&q=Early+Problems+Detection+and+Monitoring+It&FORM=IRPRST&ck=47E236019AA9B1E29CCF99DED216A40A&selectedIndex=13&itb=0)
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