?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=+Monotone+Pieces+Analysis+for+Qualitative+Modeling&rft.creator=Yan%2C+Yuhong&rft.creator=Lemire%2C+Daniel&rft.creator=Brooks%2C+Martin&rft.subject=Artificial+Intelligence&rft.description=It+is+a+crucial+task+to+build+qualitative+models+of+industrial+applications+for+model-based+diagnosis.+A+Model+Abstraction+procedure+is+designed+to+automatically+transform+a+quantitative+model+into+qualitative+model.+If+the+data+is+monotone%2C+the+behavior+can+be+easily+abstracted+using+the+corners+of+the+bounding+rectangle.+Hence%2C+many+existing+model+abstraction+approaches+rely+on+monotonicity.+But+it+is+not+a+trivial+problem+to+robustly+detect+monotone+pieces+from+scattered+data+obtained+by+numerical+simulation+or+experiments.+This+paper+introduces+an+approach+based+on+scale-dependent+monotonicity%3A+the+notion+that+monotonicity+can+be+defined+relative+to+a+scale.+Real-valued+functions+defined+on+a+finite+set+of+reals+e.g.+simulation+results%2C+can+be+partitioned+into+quasi-monotone+segments.+The+end+points+for+the+monotone+segments+are+used+as+the+initial+set+of+landmarks+for+qualitative+model+abstraction.+The+qualitative+model+abstraction+works+as+an+iteratively+refining+process+starting+from+the+initial+landmarks.+The+monotonicity+analysis+presented+here+can+be+used+in+constructing+many+other+kinds+of+qualitative+models%3B+it+is+robust+and+computationally+efficient.&rft.date=2004&rft.type=Conference+Paper&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F4493%2F1%2Fecai2004_nrc.pdf&rft.identifier=++Yan%2C+Yuhong+and+Lemire%2C+Daniel+and+Brooks%2C+Martin++(2004)++Monotone+Pieces+Analysis+for+Qualitative+Modeling.++%5BConference+Paper%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F4493%2F