Chaos Time Series Toolbox Comprehensive MATLAB Programs for Analysis and Prediction

Acycle: Acycle是一个用于研究和教育的时间序列分析软件，提供强大的分析工具和用户友好的界面，适合学术研究和教学使用。

This Chaos Toolbox includes a full suite for calculating the largest Lyapunov exponent, as well as methods for simultaneously determining the delay time and embedding window. Additionally, the toolbox can calculate the box dimension and generalized dimension of time series data. The functionality offers a comprehensive approach to analyzing chaotic systems using MATLAB, providing researchers with essential tools for time series analysis and chaos theory studies.

This MATLAB code imports time-series data related to riverbank and water depth coordinates in XY format, sampled every 10 minutes. The code calculates the cross-sectional area for each water depth and writes the following data to an Excel file: Date/Time, Water Depth, and the cross-sectional area for each water depth.

Independent Component Analysis (ICA) stands as a pivotal advancement across diverse fields such as neural networks, advanced statistics, and signal processing. This resource furnishes a thorough introduction to ICA, encompassing the foundational mathematical principles, critical solutions, algorithms, and comprehensive exploration of novel applications in domains like image processing, telecommunications, and audio signal processing. The text meticulously dissects ICA into four core segments:* Fundamental Mathematical Concepts: This section lays the groundwork for understanding the mathematical underpinnings of ICA.* The Basic ICA Model and Solution: A detailed examination of the core ICA model and its associated solution strategies.* Extensions of the Basic ICA Model: Exploration of various extensions to the fundamental ICA model, enhancing its adaptability and applicability.* Real-World Applications of ICA Models: Delving into practical implementations of ICA models across diverse disciplines. The authors, renowned for their contributions to ICA development, provide a comprehensive treatise on relevant theories, cutting-edge algorithms, and real-world implementations, making this an indispensable resource for students and practitioners alike.

该代码有助于填补时间序列数据中的空白。为此，它需要一个缺少日期和时间的 DateTime 数组以及具有相应缺失值的 测量数组。它将检查日期数组中缺少的日期，并为测量数组中的相应日期填充 NaN，这将有助于获取连续的时间序列数据。

Time Series Database (TSDB) is a database system specifically designed for efficiently storing, managing, and processing time series data. This type of data typically involves numerical values associated with specific timestamps, commonly found in monitoring, IoT, financial transactions, and operational analytics. This article explores several key NoSQL time series databases, including InfluxDB, ScyllaDB, CrateDB, and Riak TS, as well as Apache Druid, highlighting their characteristics and application scenarios. 1. InfluxDB InfluxDB, developed by InfluxData, is an open-source time series database designed for real-time analysis and big data. It features high write performance and low-latency query capabilities, supporting complex time series data queries. InfluxDB is particularly suited for handling data from sensors, logs, metrics, and is widely used in monitoring systems, IoT applications, and real-time analysis scenarios. 2. ScyllaDB ScyllaDB is a high-performance distributed database based on Apache Cassandra. It offers higher throughput and lower latency than native Cassandra. Its optimized time series data processing capabilities make it ideal for real-time applications such as monitoring and log analysis. ScyllaDB supports multi-data center deployments to ensure high availability and consistency of data. 3. CrateDB CrateDB is a column-oriented distributed SQL database that can handle large-scale time series data. It provides a SQL interface, making time series data operations more familiar to traditional database users. CrateDB is suitable for projects that require rapid analysis of large amounts of time series data and prefer using SQL for querying. 4. Riak TS Developed by Basho Technologies, Riak TS is a NoSQL solution focused on time series data. It inherits the core features of Riak, such as high availability and scalability. Riak TS is suitable for applications that need to store and retrieve time series data in a distributed environment, such as recording equipment status in the telecommunications or energy industries. 5. Apache Druid Although Druid is not a traditional NoSQL database, it is a columnar data store designed for real-time analytics. Druid is renowned for its excellent Online Analytical Processing (OLAP) performance and low-latency query capabilities, making it suitable for big data real-time analysis and business intelligence applications. These databases each have their strengths. InfluxDB and Druid excel in real-time analytics, ScyllaDB and CrateDB offer powerful distributed processing capabilities, while Riak TS specializes in distributed storage and retrieval. Developers should consider data scale, performance requirements, query complexity, SQL support, and team expertise when choosing a solution.

数学建模中的灰色预测模型分析涉及对系统信息的不完全性进行建模，提供对未来趋势的有效预测。该模型通过构建灰色系统，能够处理小样本和不确定性数据，从而为决策者提供科学依据。关键技术包括数据预处理、模型构建和误差分析。通过实例验证，该方法在多个领域展现出良好的应用前景。

在本项目中，我们使用 MATLAB 代码进行游戏分析，重点关注 Steam 社区用户之间的 游戏成瘾 问题。通过分析 AAA 游戏 和 独立游戏 的用户数据，我们提出了一种新的联合矩阵分解方法 JFactor，用于预测游戏时间并推荐社区游戏。Steam 是研究较少的社交网络之一，我们将其建模为一个三方网络，包括 用户（U）、社区（C） 和 游戏（G） 三个实体。具体来说，若用户 u 是某个社区 c 的一部分，则 u 与 c 之间存在一条边缘连接。我们的目标是探索 友谊、社区 和 游戏所有权 之间的关系，进而评估它们对 游戏成瘾 的影响。此外，我们通过分解派生的社区和游戏共现矩阵来优化推荐系统，使其在 Steam 网络中为用户提供个性化的游戏推荐。 我们进行了广泛的实验，评估了 JFactor 模型在预测游戏时间和成瘾预测上的表现。实验结果表明，联合矩阵分解能够显著提高推荐的准确性和游戏时间的预测能力。 作者: Pratik Anand（@pratikone）和 Sanket Lokegaonkar（@sloke）。

Periods是一个函数，其目的是找到时间序列数据的主要谐波分量。该函数获取时间序列中主要谐波分量的周期、幅度和滞后相位。它基于循环下降的周期性回归方法，包括统计显著性检验。上述功能非常易于使用，并不需要用户完全理解时间序列理论或大量输入，但足够灵活以承担更复杂的任务，例如预测。此外，根据先前的知识，可以轻松地包括或排除特定时期。González-Rodríguez, E.等人提供了有关如何使用该功能的参考资料和更详细的信息；（2015）时间序列中周期的提取和建模的计算方法。开放统计杂志，5, 604-617。http://dx.doi.org/10.4236/ojs.2015.56062。Periods在MATLAB 2013a版本及后续版本上进行了测试。任何问题/意见都可以通过电子邮件发送至egonzale@cice