Principal Components Regression: Part 3 – The NIPALS Algorithm

In this final entry of our three part series on Principle Component Regression (PCR) we described the NIPALS algorithm used to compute the principle components. This is followed by a theoretical discussion of why the NIPALS algorithm works that is accessible to non-experts.


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Filtering with Wavelet Transforms

ECG waveform
Wavelet transforms have found engineering applications in computer vision, pattern recognition, signal filtering and perhaps most widely in signal and image compression. In 2000 the ISO JPEG committee proposed a new
JPEG2000 image compression standard that is based on the wavelet transform using two Daubechies wavelets. This standard made the relatively new image decomposition algorithm ubiquitous on desktop around the world.


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Precision and Reproducibility in Computing

Run-to-run reproducibility in computing is often assumed as an obvious truth. However software running on modern computer architectures, among many other processes, particularly when coupled with advanced performance-optimized libraries, is often only guaranteed to produce reproducible results only up to a certain precision; beyond that results can and do vary run-to-run.


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Special Functions

Phi Function Example Motivated by the need of some special functions when writing signal processing code for NMath, we decided to add a suite of special functions to be included in NMath 6.1. While the field of special functions is vast, our 41 functions attempt to cover many of the most commonly needed functions in physics and engineering. This includes the gamma function and related functions, Bessel functions, elliptic integrals, and more.


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NMath Premium’s new Adaptive GPU Bridge Architecture

The most release of NMath Premium 6.0 is a major upgrade to the GPU API and it enables users to easily use multiple installed NVIDIA GPU’s. As always, using NMath Premium to leverage GPU’s never requires any kernel-level GPU programming or other specialized GPU programming skills. In the following article, after introducing the new GPU bridge architecture, we’ll discuss each of the new API features separately with code examples.


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