Abstract: In this article, we consider the problem of the global navigation satellite system (GNSS)-based attitude determination. A GNSS attitude model with nonlinear orthonormality constraints is ...

At the core of Transformers, a set of input activations is multiplied by a learned weight matrix to produce a new set of output activations. When the weight matrix is updated during training, the ...

The principal components analysis of functional data is often enhanced by the use of smoothing. It is shown that an attractive method of incorporating smoothing is to replace the usual L ...

Over the last decade, deep generative models have evolved to generate realistic and sharp images. The success of these models is often attributed to an extremely large number of trainable parameters ...

Automatic differentiation (AD) has become an important tool for optimization problems in computational science, and it has been applied to the Hartree–Fock method. Although the reverse-mode AD is more ...

Abstract: The problem of restoring the orthonormality of a noisy rotation matrix by finding its nearest correct rotation matrix arises in many areas of robotics, computer graphics, and computer vision ...

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This program computes the normalization coefficients of a given set of orthogonal 1-dimensional complex wave-functions for a given n index. Additionally, it performs orthogonality and orthonormality ...