Machine Learning in Matlab Background Separation Techniques for Particle Physics Research

Bi-LSTM MATLAB Code – DataScience-Notes 数据科学笔记。提供有关数据科学的笔记、代码和实例，涵盖数学、统计、机器学习、深度学习等基础知识及相关应用场景。参考资料已在最后列出。大部分代码采用Python编写，涉及的库及框架包括： NumPy、SymPy、Scikit-learn、Gensim、TensorFlow 1.X、TensorFlow 2.X 和 MXNet。部分数值分析代码则使用MATLAB编写。 注释：- (notebook): Jupyter Notebook 文件链接- (MATLAB): 相应的 MATLAB 代码链接- (md): Markdown 文件链接- (link): 外部链接 目录1. Prerequisite Knowledge (必备知识)- 1.1 Basic Concepts Related to Mathematics and Python Implementation (数学相关基础概念和Python实现)- Vector and Determinant (向量和行列式)- Matrix (矩阵及其运算)

本存储库包含用于卡内基梅隆大学 10601 机器学习课程的 MATLAB 脚本。这些脚本涵盖了监督学习、非监督学习和强化学习的基本概念。

根据提供的文件信息，这份文档总结了《Pattern Recognition and Machine Learning》一书中的关键概念和解题示例，主要帮助教学导师理解并教学相关知识点。以下为部分重点内容： 1. 核心知识点概述 概率分布：第一章涵盖概率论基础，包括随机变量、联合分布和条件分布等，为模式识别提供概率框架。 线性回归模型：第三章详细讨论线性回归及其推导，通过最小二乘法解析其参数估计。 线性分类模型：第四章介绍了线性模型在分类任务中的应用，如逻辑回归。 神经网络：第五章深入探讨多层感知机模型，包含其结构、训练方法及实际应用。 核方法：第六章详细介绍核函数及其在非线性可分数据中的应用，尤其是支持向量机（SVM）。 图形模型：第八章聚焦于概率图模型，包括贝叶斯网络和马尔可夫随机场，用于描述变量间的依赖关系。 2. 题解示例解析 示例1：线性回归参数估计 题目描述：给定训练数据集，求解线性回归模型参数。解答过程：- 根据公式(1.2)，代入(1.1)并求导，得出关于参数的方程组；- 对每个样本，依据线性组合形式计算梯度，并令梯度等于0，形成参数方程。- 整理后得到线性方程组，进而解得参数。 示例2：正则化最小二乘法 题目描述：正则化最小二乘法与普通最小二乘法的区别及求解方法。解答过程：- 正则化最小二乘法在误差函数上增加正则项以抑制过拟合。- 方程组形式与普通最小二乘法相似，但矩阵 $(A_{ij})$ 替换为 $(A_{ij} + \lambda I_{ij})$，其中 $\lambda$ 为正则化系数。

The Matlab code sqrt generates initial phase values for networks, stored in the file 'initial_phases.txt'. These values are evenly distributed between -pi and pi, and can be adjusted to fall between -val and val. The file 'network_generation.py' contains Python 3 code to generate two types of networks: ER random and scale-free. The function erdos_renyi_graph() from networkx generates random graphs by using the network size (N), the connection probability (N/k), and a unique seed value for each graph. Similarly, the function Barabasi_Albert_graph() creates scale-free networks with a specified network size (N) and a number of connections per new node (k/2), utilizing a preferential attachment algorithm. Each generated graph must have a distinct seed value to ensure uniqueness. The Omega values are generated using the randn() function, which produces N values with a mean of 0 and variance of 1. Further adjustments to these values are made using the formula: value = sqrt(variance) * randn() + mean. Finally, the file 'data_gener' contains additional data generation procedures.

Big data technology has become a hot research topic in the field of education, focusing on analyzing large amounts of educational data collected to improve teaching methods and enhance education quality. Among educational big data, learning analytics is particularly important, as it helps teachers understand students' learning progress and implement personalized teaching, thus promoting teaching reform. In higher education, the application of big data-based learning analytics technology can monitor students' learning processes. By analyzing students' behavioral patterns during the learning process, teachers can gain a more intuitive understanding of each student's performance. This technology provides a series of insights such as 'who is learning', 'what is being learned', and 'how well students are learning', which is crucial for ensuring educational quality. Data collection is the first step in big data learning analytics, which involves utilizing various technical means to gather data from different sources. In the context of online education, the primary source of data is students' online behavior during the learning process. This data includes but is not limited to, video viewing patterns, discussion board participation scores, assignment scores, exam results, and forum interaction scores. These data need to be collected using appropriate tools such as web crawlers written in Python or by calling data through API interfaces. Once the data is collected, the next step is data preprocessing. This stage involves cleaning the data, removing unreliable data points like test accounts and extreme outliers. The goal of preprocessing is to ensure the accuracy of subsequent analysis, structure the data for easy storage, and prepare it for analysis. Data analysis is the core part of learning analytics and primarily includes statistical analysis and visualization, clustering analysis, predictive analytics, association rule mining, and text mining. These methods help teachers gain deeper insights into students' behavioral patterns, learning habits, and performance trends. Statistical analysis and visualization transform data into charts and graphs for intuitive representation of students' learning progress. Clustering analysis groups students by learning habits or grades, while predictive analytics forecasts students' future performance based on historical data. Association rule mining focuses on identifying relationships between students' behaviors, and text mining analyzes content from discussion boards to understand students' learning attitudes and thought processes. The application and development of big data in education holds great potential. With the rapid growth of global data, educational big data is gradually becoming a field of focus both domestically and internationally, offering significant value in education. In practical projects, the application of learning analytics has already shown results. For example, a research project mentioned in the article uses the 'C Programming 1' course on a MOOC platform to analyze students' learning behavior data combined with performance data to help teachers better understand students' progress and offer reasonable teaching suggestions. The application of big data in education, particularly in learning analytics on MOOC platforms, is becoming a key driver of educational reform.

matlab 吴恩达代码 Machine-Learning-AndrewNg 代码笔记：吴恩达机器学习课程编程作业，python 和 matlab 代码，及笔记。笔记由黄海广博士整理，原链接为：欢迎交流。

在物理课程设计中，Matlab的应用越来越广泛，尤其是在大学物理课程中。在荆楚理工学院，学生们通过使用Matlab来模拟物理实验、分析数据、解决实际问题。例如，学生们通过编写Matlab代码来研究力学、电磁学、热力学等领域中的复杂问题，进一步提升了物理知识的理解和实践能力。Matlab不仅提高了计算效率，也帮助学生更直观地理解物理概念。通过这种方式，Matlab成为了物理学科中不可或缺的工具。

该项目收集并打包了遵循各种标准的图像恢复技术，包括最新技术（都基于深度学习），开源技术（MIT或Apache许可证），可用技术（可直接使用预训练模型且不需要复杂依赖），以及Pythonic技术（更易于与Google Colab等平台共享和使用）。截至2019年7月25日，NLRN和ESRGAN是多个排行榜的领导者（可参考paperswithcode.com）。 技术细节：当前软件包包含的算法既可以直接使用，也可以根据需求从外部GitHub存储库稍作改编。所选方法依据以下标准进行比较： 去噪（去除颗粒） - 刘等，2018年提出的非本地循环网络（NLRN）。MIT许可证。 去除波纹（去除条纹噪声） - 关等，20XX年提出的去除波纹方法。 此外，项目还包括正在进行中的演示版本，用户可以在自己的图像上进行测试。

这个存储库包含了Andrew Ng教授机器学习课程作业的Python版本。这门课程是最受欢迎的在线机器学习入门课程之一，为学生提供了使用Python进行编程的机会。在过去几年中，Python在机器学习领域的应用迅速增长，因此我决定将所有MATLAB/OCTAVE编程作业重新编写为Python版本，以便学生能够更轻松地使用这个生态系统。这些新的编程作业与课堂教学完美结合，无需使用MATLAB进行任何操作。