Abstract: In compressive sensing (CS), the restricted isometry property (RIP) is an important condition on measurement matrices which guarantees the recovery of sparse signals with undersampled ...

Vectors and matrices serve as essential instruments for simultaneously representing various quantities and their linear interrelationships. Key insights include: A vector is defined as an ordered ...

Decentralized Federated Learning improves data privacy and eliminates single points of failure by removing reliance on centralized storage and model aggregation in distributed computing systems.

Abstract: In this paper, we consider three-way split formulas for binary polynomial multiplication and Toeplitz matrix vector product (TMVP). We first recall the best known three-way split formulas ...

We propose implementations of the Generalized Minimal Residual Method (GMRES) for solving linear systems based on dense, Toeplitz or mixed matrices. The software consists of a python module and a C++ ...

We introduce the Tensor-Based Multivariate Optimization (TeMPO) framework for use in nonlinear optimization problems commonly encountered in signal processing, machine learning, and artificial ...

The rapid development of wind energy has brought a lot of uncertainty to the power system. The accurate ultra-short-term wind power prediction is the key issue to ensure the stable and economical ...

The alternative text for this image may have been generated using AI. The ICZT is the inverse of the CZT. That is, the ICZT maps the output of the CZT back to the input. Because the CZT is a linear ...

ABSTRACT: Let us define A=Hr=(aij)to be n×nr-Hankel matrix. The entries of matrix A are Fn=Fi+j-2or Ln=Fi+j-2where Fnand Lndenote the usual Fibonacci and Lucas numbers, respectively. Then, we obtained ...

Subsequence clustering of multivariate time series is a useful tool for discovering repeated patterns in temporal data. Once these patterns have been discovered, seemingly complicated datasets can be ...