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Which branch of AI focuses on statistical models to solve problems with artificial neural network? 

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An artificial neural network, a biologically inspired computing method which has an ability to learn, self-adjust, and be trained, provides a powerful tool in solving complex problems.
The study found that neural-network models such as feedforward and feedback propagation artificial neural networks are performing better in its application to human problems.
BACKGROUND Artificial neural networks (ANN) represent a promising alternative to classical statistical and mathematic methods to solve multidimensional nonlinear problems.
It is approved that artificial neural networks can be considerable effective in anticipating and analyzing flows in which traditional methods and statics are not able to solve.
Artificial neural networks (ANNs) offer promise for improving the predictive value of traditional statistical modeling.
The artificial neural network model shows lower errors and higher precision compared to statistical models while use of ANN is easier and quicker than statistical methods.
Artificial intelligence (AI) methods like artificial neural networks, genetic programming and genetic algorithms, and support vector machines are found to have better efficiency compared to statistical methods.
Artificial neural networks represent a promising alternative to classical statistical and mathematical methods to solve multidimensional nonlinear problems.
So, a practically convenient approach is to combine mathematical models of some aspects with artificial neural networks of those aspects which are difficult to measure or model.
By choosing one of the classes, an artificial neural network determines the problems that may arise in a given part of the water distribution system.

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