Predicting mill load using partial least squares and extreme learning machines

Online prediction of mill load is useful to control system design in the grinding process. It is a challenging problem to estimate the parameters of the load inside the ball mill using measurable signals. This paper aims to develop a computational intelligence approach for predicting the mill load. Extreme learning machines (ELMs) are employed as learner models to implement the map between frequency spectral features and the mill load parameters. The inputs of the ELM model are reduced features, which are extracted and selected from the vibration frequency spectrum of the mill shell using partial least squares (PLS) algorithm. Experiments are carried out in the laboratory with comparisons on the well-known back-propagation learning algorithm, the original ELM and an optimization-based ELM (OELM). Results indicate that the reduced feature-based OELM can perform reasonably well at mill load parameter estimation, and it outperforms other learner models in terms of generalization capability.

[1]  Yigen Zeng,et al.  Monitoring grinding parameters by vibration signal measurement - a primary application , 1994 .

[2]  Xizhao Wang,et al.  Maximum Ambiguity-Based Sample Selection in Fuzzy Decision Tree Induction , 2012, IEEE Transactions on Knowledge and Data Engineering.

[3]  Lei Wang,et al.  Feature Selection with Kernel Class Separability , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  Chai Tian-you Present Status and Future Developments of Detection Method for Mill Load , 2010 .

[5]  Jian Tang,et al.  Experimental analysis of wet mill load based on vibration signals of laboratory-scale ball mill shell , 2010 .

[6]  Wang Ze Present State and Development Trend for Ball Mill Load Measurement , 2001 .

[7]  Danh V. Nguyen,et al.  Tumor classification by partial least squares using microarray gene expression data , 2002, Bioinform..

[8]  K. Gugel,et al.  Improving ball mill control with modern tools based on digital signal processing (DSP) technology , 2003, Cement Industry Technical Conference, 2003. Conference Record. IEEE-IAS/PCA 2003.

[9]  Tianyou Chai,et al.  Intelligent Optimal-Setting Control for Grinding Circuits of Mineral Processing Process , 2009, IEEE Transactions on Automation Science and Engineering.

[10]  Dong Ling Tong,et al.  Genetic Algorithm-Neural Network (GANN): a study of neural network activation functions and depth of genetic algorithm search applied to feature selection , 2010, Int. J. Mach. Learn. Cybern..

[11]  Satoru Miyano,et al.  Null space based feature selection method for gene expression data , 2012, Int. J. Mach. Learn. Cybern..

[12]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[13]  Chai Tianyou Optimization control of ball mill load in blending process with data fusion and case-based reasoning , 2009 .

[14]  Gengfeng Wu,et al.  On the Number of Partial Least Squares Components in Dimension Reduction for Tumor Classification , 2007, PAKDD Workshops.

[15]  Korris Fu-Lai Chung,et al.  Positive and negative fuzzy rule system, extreme learning machine and image classification , 2011, Int. J. Mach. Learn. Cybern..

[16]  A. Höskuldsson PLS regression methods , 1988 .

[17]  Anil K. Jain,et al.  Statistical Pattern Recognition: A Review , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Wen Yu,et al.  Soft Sensor Modeling of Ball Mill Load via Principal Component Analysis and Support Vector Machines , 2010 .

[19]  Bogdan Gabrys,et al.  Data-driven Soft Sensors in the process industry , 2009, Comput. Chem. Eng..

[20]  Chee Kheong Siew,et al.  Extreme learning machine: Theory and applications , 2006, Neurocomputing.

[21]  Qing He,et al.  Extreme Support Vector Machine Classifier , 2008, PAKDD.

[22]  David M. Rocke,et al.  Dimension Reduction for Classification with Gene Expression Microarray Data , 2006, Statistical applications in genetics and molecular biology.

[23]  F. Segovia,et al.  Computer aided diagnosis system for the Alzheimer's disease based on partial least squares and random forest SPECT image classification , 2010, Neuroscience Letters.

[24]  I. Jolliffe Principal Component Analysis , 2002 .

[25]  Jack Y. Yang,et al.  Selecting subsets of newly extracted features from PCA and PLS in microarray data analysis , 2008, BMC Genomics.

[26]  C. V. R. Murty,et al.  Experimental analysis of charge dynamics in tumbling mills by vibration signature technique , 2007 .

[27]  Binu P. Chacko,et al.  Handwritten character recognition using wavelet energy and extreme learning machine , 2012, Int. J. Mach. Learn. Cybern..

[28]  Hongming Zhou,et al.  Optimization method based extreme learning machine for classification , 2010, Neurocomputing.

[29]  Xizhao Wang,et al.  Upper integral network with extreme learning mechanism , 2011, Neurocomputing.

[30]  Xiaoou Li,et al.  On-line fuzzy modeling via clustering and support vector machines , 2008, Inf. Sci..

[31]  Luis O. Jimenez-Rodriguez,et al.  Unsupervised Linear Feature-Extraction Methods and Their Effects in the Classification of High-Dimensional Data , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[32]  Tianyou Chai,et al.  Eigen-flame image-based robust recognition of burning states for sintering process control of rotary kiln , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[33]  Hideyuki Otaki,et al.  Motion analysis of a tumbling ball mill based on non-linear optimization , 2000 .

[34]  John Shawe-Taylor,et al.  Efficient Sparse Kernel Feature Extraction Based on Partial Least Squares , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[35]  Keinosuke Fukunaga,et al.  Effects of Sample Size in Classifier Design , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[36]  David R. Hardoon,et al.  Classifying cognitive states of brain activity via one-class neural networks with feature selection by genetic algorithms , 2011, Int. J. Mach. Learn. Cybern..

[37]  Yigen Zeng,et al.  Monitoring grinding parameters by signal measurements for an industrial ball mill , 1993 .

[38]  Xudong Huang,et al.  A hybrid machine learning-based method for classifying the Cushing's Syndrome with comorbid adrenocortical lesions , 2008, BMC Genomics.

[39]  Benoît Frénay,et al.  Using SVMs with randomised feature spaces: an extreme learning approach , 2010, ESANN.

[40]  Dianhui Wang,et al.  Extreme learning machines: a survey , 2011, Int. J. Mach. Learn. Cybern..

[41]  Xi-Zhao Wang,et al.  Improving Generalization of Fuzzy IF--THEN Rules by Maximizing Fuzzy Entropy , 2009, IEEE Transactions on Fuzzy Systems.

[42]  Chai Tianyou Intelligent monitoring and control of mill load for grinding processes , 2008 .

[43]  Jialin Liu,et al.  On-line soft sensor for polyethylene process with multiple production grades , 2007 .