Simple Random Sampling: 6 Basic Steps With Examples

A simple random sample is a subset of a statistical population where each member of the population is equally likely to be ...
IEEE

Sparse Sampling in Fractional Fourier Domain: Recovery Guarantees and Cramér–Rao Bounds

Abstract: Sampling theory in fractional Fourier Transform (FrFT) domain has been studied extensively in the last decades. This interest stems from the ability of the FrFT to generalize the traditional ...
IEEE

On the Methods of Further Generalization of Nyquist–Shannon sampling theorem

Abstract: It is shown that the modernized Nyquist-Shannon theorem, which establishes the theoretical limit for the amount of information that can be obtained based on the analysis of a wave field ...
IEEE

Parameter Identification for Inverse Scattering Problem of Electrically Large Curved Surfaces

Abstract: Inverse scattering problems (ISPs) often suffer from severe ill-posedness and nonlinearity. In this article, a parameter identification method that determines the necessary conditions of ...
Scientific American

This mathematician proved a brilliant theorem to justify his social awkwardness

More than 100 years ago Hungarian-born mathematician George Pólya found himself trapped in a loop of social awkwardness. A professor at the Swiss Federal Institute of Technology Zurich, he enjoyed ...
IEEE

On Optimal Sampling for Learning SDF Using MLPs Equipped With Positional Encoding

Abstract: Neural implicit fields, such as the neural signed distance field (SDF) of a shape, have emerged as a powerful representation for many applications, e.g., encoding a 3D shape and performing ...
IEEE

SPAC: Sampling-Based Progressive Attribute Compression for Dense Point Clouds

Abstract: We propose an end-to-end attribute compression method for dense point clouds. The proposed method combines a frequency sampling module, an adaptive scale feature extraction module with ...