Introduction: In unsupervised learning, data clustering is essential. However, many current algorithms have issues like early convergence, inadequate local search capabilities, and trouble processing ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

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This Repository contains topics related to computer optimization, computer orientation, operation research. Optimization techniques are methods used to find the best possible solution or outcome for a ...

Abstract: We show that a linear algebraic formulation of the Louvain method for community detection can be derived systematically from the linear algebraic definition of modularity. Using the ...

This repository is a collection of mathematical optimization algorithms and solutions for a variety of optimization problems. It provides a toolkit of algorithms and techniques for tackling ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...

In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very ...