This paper presents an eddy-current-based technique for imaging the solidification of molten metal inside a metal pipe. This technique is motivated by the fact that the ac (alternating current) impedance seen from a solenoid placed outside the pipe is dependent on the distribution of the solidification inside the pipe provided that the ac frequency is… (More)
frequency allocation that was taking place in the units.
The link prediction problem is to predict the existence of a link between every node pair in the network based on the past observed networks arising in many practical applications such as recommender systems, information retrieval, and the marketing analysis of social networks. Here, we propose a new mathematical programming approach for predicting a future… (More)
We adapt the alternating linearization method for proximal decomposition to structured regularization problems, in particular, to the generalized lasso problems. The method is related to two well-known operator splitting methods, the Douglas–Rachford and the Peaceman–Rachford method, but it has descent properties with respect to the objective function. This… (More)
– This paper presents a theoretical framework of imaging the solidification of molten metal inside a pipe by eddy currents. A complete mathematical model is developed which reveals the relationship between the solidification inside the pipe and the scattered field measurable outside the pipe. This model is then exploited to develop a numerical algorithm… (More)