Abstract:
The present invention provides a method and system for distributed probabilistic matrix factorization. In accordance with a disclosed embodiment, the method may include partitioning a sparse matrix into a first set of blocks on a distributed computer cluster, whereby a dimension of each block is MB rows and NB columns. Further, the method shall include initializing a plurality of matrices including first mean matrix Ū, a first variance matrix Ũ, a first prior variance matrix ŨP, a second mean matrix V, a second variance matrix {tilde over (V)}, and a second prior variance matrix {tilde over (V)}P, by a set of values from a probability distribution function. The plurality of matrices can be partitioned into a set of blocks on the distributed computer cluster, whereby each block can be of a shorter dimension K, and the plurality of matrices can be updated iteratively until a cost function of the sparse matrix converges.
Abstract:
The technique relates to a system and method for assessing corroded pipeline defect growth rate from partial defect growth rate information. The method involves obtaining a plurality of observed defect growth rates from the inspection data collected at different time intervals then determining at least one unobserved defect growth rate on the basis of distribution pattern of the plurality of observed defect growth rates thereafter simulating condition of at least one hyper parameter on the inspection data based on prior information of the at least one hyper parameter then simulating the plurality of observed defect growth rates and the at least one unobserved defect growth rate based on the simulated hyper parameters and finally obtaining defect growth rate point estimate from the simulated growth rate data. The method also involves determining a probability of failure of a defect from the defect growth rate point estimates.
Abstract:
The technique relates to a system and method for assessing corroded pipeline defect growth rate from partial defect growth rate information. The method involves obtaining a plurality of observed defect growth rates from the inspection data collected at different time intervals then determining at least one unobserved defect growth rate on the basis of distribution pattern of the plurality of observed defect growth rates thereafter simulating condition of at least one hyper parameter on the inspection data based on prior information of the at least one hyper parameter then simulating the plurality of observed defect growth rates and the at least one unobserved defect growth rate based on the simulated hyper parameters and finally obtaining defect growth rate point estimate from the simulated growth rate data. The method also involves determining a probability of failure of a defect from the defect growth rate point estimates.