In this article, we mainly consider two special iterations, namely the Julia set and the Mandelbrot set, which are very famous in fractal geometry. Both are composed of complex functions f ( z ) = z 2 + C f(z)=z^2 + C f(z)=z2 + C is implemented iteratively, but the specific implementation is different. Julia […]
Tag: julia
Using Julia language combined with ADMM and Chambolle Pock algorithm to achieve in-depth analysis of efficient total variation denoising technology
1. Introduction Total variation denoising technology is a commonly used technology in digital image processing. Compared with traditional denoising technology, total variation denoising technology can better preserve edge and detail information in images. In recent years, ADMM (Alternating Direction Method of Multipliers) and Chambolle Pock algorithms have been widely used in the realization of total […]
Exploring stochastic simulation: Julia implementation of Gillespie algorithm and its scientific research applications
Part I: Introduction and Background With the development of scientific research, the role of randomness in simulating biological, chemical and physical processes has become increasingly important. The Gillespie algorithm is a classic stochastic simulation method widely used in chemical reaction kinetics and biological processes. Although there are many programming languages and tools for implementing this […]
Optimal transmission algorithm implemented using Julia: Earth-Mover (Wasserstein) distance, Sinkhorn entropy regularization and its variants exploration
Part One: 1. Introduction Measuring the difference between two probability distributions is very important in fields such as number processing, machine learning, and image recognition. Among them, the optimal transmission algorithm provides a powerful framework for this requirement. The core concept of the algorithm is to find the “minimum” transfer cost between two distributions, that […]
Examples of calling julia functions in C# WinForm and passing parameters to julia functions in C#
Special statement: Do not reprint without permission! https://discourse.juliacn.com/t/topic/7189https://discourse.juliacn.com/t/topic/7189 I have submitted it in the julia Chinese community The unresolved questions in the last part of the article, you can track the progress of answering questions in this link. I came into contact with julia several years ago, and thought it was not easy to use. […]
Julia personal process demo code
This article is my personal experience to share the corresponding code of the video Julia high-performance code entry process. In addition to what you must know about the performance recommendations of the official documents, there are several routines in general: Classification of parameters. Physical constants directly default to global variables and declare the const type. […]
Julia Series 12: Clustering Algorithm Packages
Quoting “using Clustering”, the method of use is as follows: 1. K-means Simple example: using Clustering # make a random dataset with 1000 random 5-dimensional points X = rand(5, 1000) # cluster X into 20 clusters using K-means R = kmeans(X, 20; maxiter=200, display=:iter) @assert nclusters(R) == 20 # verify the number of clusters a […]