Difference: DataFitting (4 vs. 5)
Revision 52008-03-01 - TWikiAdminUser
| Line: 1 to 1 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
<-- Under Construction --> | |||||||||
| Line: 26 to 26 | |||||||||
Operations Research Topics: NonlinearProgrammingApplication Areas: Data AnalysisContents | |||||||||
| Changed: | |||||||||
| < < | |||||||||
| > > | |||||||||
Problem DescriptionAlso known as The Least Squares Problem
When modelling data, scientists often want to fit an analytical model to their experimental data. In this case an experiment has provided some  -coordinates that have a growth curve shape, i.e., initially  increases quickly with  , thens tails off to some maximum value. The scientists in this study have suggested three possible functions to model this behaviour:
 and the data points  they want to find  ,  and  to minimize the squared distance between the data points and the estimates, i.e.,
 | |||||||||
| Changed: | |||||||||
| < < | Problem Formulation | ||||||||
| > > | Problem Formulation | ||||||||
| Changed: | |||||||||
| < < | The formulation... | ||||||||
| > > | The formulation... | ||||||||
| Changed: | |||||||||
| < < | Return to top
Computational Model | ||||||||
| > > | Return to top | ||||||||
| Changed: | |||||||||
| < < | The computational model... | ||||||||
| > > | Computational Model | ||||||||
| Changed: | |||||||||
| < < | Return to top
Results | ||||||||
| > > | The computational model... | ||||||||
| Changed: | |||||||||
| < < | The results... | ||||||||
| > > | Return to top | ||||||||
| Changed: | |||||||||
| < < | Return to top
Conclusions | ||||||||
| > > | Results | ||||||||
| Changed: | |||||||||
| < < | In conclusion... | ||||||||
| > > | The results... | ||||||||
| Changed: | |||||||||
| < < | Return to top | ||||||||
| > > | Return to top
ConclusionsIn conclusion... Return to top | ||||||||
| Changed: | |||||||||
| < < | |||||||||
| > > | |||||||||
| Changed: | |||||||||
| < < | |||||||||
| > > | |||||||||
| Changed: | |||||||||
| < < | |||||||||
| > > | |||||||||
| Changed: | |||||||||
| < < | Student Tasks | ||||||||
| > > | |||||||||
| Changed: | |||||||||
| < < |
| ||||||||
| > > | |||||||||
| Changed: | |||||||||
| < < | Return to top | ||||||||
| > > | |||||||||
| |||||||||
| Added: | |||||||||
| > > |
| ||||||||
-coordinates that have a growth curve shape, i.e., initially increases quickly with , thens tails off to some maximum value. The scientists in this study have suggested three possible functions to model this behaviour:
and the data points they want to find , and to minimize the squared distance between the data points and the estimates, i.e.,
| |||||||||
View topic | History: r10 < r9 < r8 < r7 | More topic actions...
Copyright © 2008-2025 by the contributing authors. All material on this collaboration platform is the property of the contributing authors. Ideas, requests, problems regarding TWiki? Send feedback