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The world of technology is ever changing and keeping up is sometimes both a grand challenge and a lot of fun. At Orbifold we love to keep up and to delve at the frontier. In this category you will find some of our findings.

What is computational science?

Computational science (also scientific computing or scientific computation (SC)) is a rapidly growing multidisciplinary field that uses advanced computing capabilities to understand and solve complex problems. It is an area of science which spans many disciplines, but at its core it involves the development of models and simulations to understand natural systems. Algorithms (numerical and [...]

Numerical Computing: Advanced Techniques

Numerical Functions Overview and applications Numerical Functions Overview and applications Integration Differential equations Equation solving Optimization Linear algebra and sparse arrays Numerical Integration: Quadrature does numerical integration of functions (“numerical quadrature”): Numerical Integration: List Integration For numerical integration of a list of points, interpolate the points. Then use : Numerical Integration: Path Integration For path [...]

Avoid Overfitting Using a Hold-Out Set

‹›Neural Networks Avoid Overfitting Using a Hold-Out Set Use the ValidationSet option to NetTrain to ensure that the trained net does not overfit the input data. This is commonly referred to as a test or hold-out dataset. Create synthetic training data based on a Gaussian curve. In[1]:= data = Table[ x -> Exp[-x^2] + RandomVariate[NormalDistribution[0, [...]