A Framework for Factory-Trained Virtual Sensor Models Based on Censored Production Data

In Industrial Manufacturing, the process variable is often not directly observable using a physical measuring device. For this reason, Virtual Sensors are used, which are surrogate models for a physical sensor trained on previously collected process data. In order to continuously improve such virtual sensor models, it is desirable to make use of data gathered during production, e.g. to adapt the model to client-specific tools not included in the basic training data. In many real-world scenarios, it is only possible to gather data from the production process to a limited extent, as feedback is not always available. One example of such a situation is the production of a workpiece within required quality bounds. In case the finished workpiece meets the quality criteria or else is irreversibly damaged in the process, there is no feedback regarding the model error. Only in the case where the operator is able to specify a correction to reach the desired target value in a second run, the correction error can be used as an approximation for the model error.

[1]  Stephen P. Boyd,et al.  CVXPY: A Python-Embedded Modeling Language for Convex Optimization , 2016, J. Mach. Learn. Res..

[2]  Zhiqiang Ge,et al.  Data Mining and Analytics in the Process Industry: The Role of Machine Learning , 2017, IEEE Access.

[3]  Robert A. Moffitt,et al.  The Uses of Tobit Analysis , 1980 .

[4]  Hong Wang,et al.  Random survival forest with space extensions for censored data , 2017, Artif. Intell. Medicine.

[5]  Michael I. Jordan,et al.  Learning from Incomplete Data , 1994 .

[6]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[7]  J. Zico Kolter,et al.  OptNet: Differentiable Optimization as a Layer in Neural Networks , 2017, ICML.

[8]  James H. Ware,et al.  On distribution-free tests for equality of survival distributions , 1977 .

[9]  D Faraggi,et al.  A neural network model for survival data. , 1995, Statistics in medicine.

[10]  Wei Chu,et al.  A Support Vector Approach to Censored Targets , 2007, Seventh IEEE International Conference on Data Mining (ICDM 2007).

[11]  László Monostori,et al.  Machine Learning Approaches to Manufacturing , 1996 .

[12]  Zhiguo Li,et al.  A Generalized Procedure for Monitoring Right‐censored Failure Time Data , 2015, Quality and Reliability Engineering International.

[13]  Edwin Lughofer,et al.  Multi-source transfer learning of time series in cyclical manufacturing , 2019, J. Intell. Manuf..

[14]  Mark R. Segal,et al.  Regression Trees for Censored Data , 1988 .

[15]  W. Greene,et al.  Censored Data and Truncated Distributions , 2005 .

[16]  Brent A. Johnson On lasso for censored data , 2009 .

[17]  Jun Wang,et al.  Bid-aware Gradient Descent for Unbiased Learning with Censored Data in Display Advertising , 2016, KDD.

[18]  B. Efron The two sample problem with censored data , 1967 .

[19]  Bojana Dalbelo Basic,et al.  Uncensoring censored data for machine learning: A likelihood-based approach , 2012, Expert Syst. Appl..

[20]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[21]  MengChu Zhou,et al.  Virtual sensing techniques and their applications , 2009, 2009 International Conference on Networking, Sensing and Control.