Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA)

Analysis of Variance (ANOVA)

One of the hallmarks of statistical thinking is the importance of measuring and understanding variability. The Shewhart Control Chart, which separates special cause from common cause variation, is one of the most important tools for understanding the current state of a process. The analysis of variance (ANOVA) is another statistical tool for splitting variability into component sources. These c...

Design Optimization of a High-Pressure Turbine Blade using Generalized Polynomial Chaos (gPC)

1. Abstract Gas turbine engines for aerospace applications have evolved dramatically over the last 50 years through the constant pursuit for better specific fuel consumption, higher thrust-to-weight ratio, lower noise and emissions all while maintaining reliability and affordability. This paper addresses one facet of this inter-disciplinary optimization problem – optimal design of a turbine bla...

Dimension Reduction Techniques for Training Polynomial Networks

We propose two novel methods for reducing dimension in training polynomial networks. We consider the class of polynomial networks whose output is the weighted sum of a basis of monomials. Our first method for dimension reduction eliminates redundancy in the training process. Using an implicit matrix structure, we derive iterative methods that converge quickly. A second method for dimension redu...

rodbar dam slope stability analysis using neural networks

در این تحقیق شبکه عصبی مصنوعی برای پیش بینی مقادیر ضریب اطمینان و فاکتور ایمنی بحرانی سدهای خاکی ناهمگن ضمن در نظر گرفتن تاثیر نیروی اینرسی زلزله ارائه شده است. ورودی های مدل شامل ارتفاع سد و زاویه شیب بالا دست، ضریب زلزله، ارتفاع آب، پارامترهای مقاومتی هسته و پوسته و خروجی های آن شامل ضریب اطمینان می شود. مهمترین پارامتر مورد نظر در تحلیل پایداری شیب، بدست آوردن فاکتور ایمنی است. در این تحقیق ...

Analysis of Variance ( ANOVA ) . In : Arthur