Training Algorithm with Incomplete Data for Feed-Forward Neural Networks

A new algorithm is developed to train feed-forward neural networks for non-linear input-to-output mappings with small incomplete data in arbitrary distributions. The developed Training-EStimation-Training (TEST) algorithm consists of 3 steps, i.e., (1) training with the complete portion of the training data set, (2) estimation of the missing attributes with the trained neural networks, and (3) re-training the neural networks with the whole data set. Error back propagation is still applicable to estimate the missing attributes. Unlike other training methods with missing data, it does not assume data distribution models which may not be appropriate for small training data. The developed TEST algorithm is first tested for the Iris benchmark data. By randomly removing some attributes from the complete data set and estimating the values latter, accuracy of the TEST algorithm is demonstrated. Then it is applied to the Diabetes benchmark data, of which about 50% contains missing attributes. Compared with other existing algorithms, the proposed TEST algorithm results in much better recognition accuracy for test data.     

Local Behavior of Deposition Velocity onto a Flat Plate in Horizontal Airflow under the Influence of Thermophoresis

In this study, the Gaussian Diffusion Sphere Model (GDSM) and the Statistical Lagrangian Particle Tracking (SLPT) approach were employed and adjusted to calculate the local deposition velocity onto a flat plate in horizontal airflow. The GDSM and the SLPT approach were validated by comparing the predicted local deposition velocities with those determined by solving the equation of convective diffusion. Both the GDSM and the SLPT approach were found to be accurate in calculating the local deposition velocity onto a flat plate in horizontal airflow. In addition, the GDSM was much more efficient than the SLPT approach in terms of the calculation time. Finally, a parametric study on the local deposition velocity onto a flat plate exposed to horizontal airflow was performed using the GDSM with the consideration of the effects of the gravity, convection, diffusion, and thermophoresis.

Copyright 2015 American Association for Aerosol Research     

James R. Brock (1930–2011)

Copyright 2012 American Association for Aerosol Research