基于提升方法(lifting scheme)的小波变换 提升法被称为第二代小波,可见其重要性。 下面先举一个arr小波的例子。 在一序列中有相邻数据a,b我们计算出其低频1=(a+b)/2高频h=b-a 如果不引入新数据,仅对a,b更新,可写作b-=a,a+=b/2 这样我们发现其可在自身位置上完成小波变换,而且还大大简化了计算过程(在复杂的变换中更明显)

第一节 数据的预处理 第二节 统计分组和次数分布 第二节 统计表和统计图

◼ Outlier and Outlier Analysis ◼ Outlier Detection Methods ◼ Statistical Approaches ◼ Proximity-Base Approaches ◼ Clustering-Base Approaches ◼ Classification Approaches ◼ Summary

◼ Cluster Analysis: Basic Concepts ◼ Partitioning Methods ◼ Hierarchical Methods ◼ Density-Based Methods ◼ Grid-Based Methods ◼ Evaluation of Clustering ◼ Summary

◼ Classification: Basic Concepts ◼ Decision Tree Induction ◼ Bayes Classification Methods ◼ Rule-Based Classification ◼ Model Evaluation and Selection ◼ Summary

◼ Pattern Mining: A Road Map ◼ Pattern Mining in Multi-Level, Multi-Dimensional Space ◼ Constraint-Based Frequent Pattern Mining ◼ Mining High-Dimensional Data and Colossal Patterns ◼ Mining Compressed or Approximate Patterns ◼ Pattern Exploration and Application ◼ Summary

◼ Basic Concepts ◼ Frequent Itemset Mining Methods ◼ Which Patterns Are Interesting?—Pattern Evaluation Methods ◼ Summary

◼ Data Warehouse: Basic Concepts ◼ Data Warehouse Modeling: Data Cube and OLAP ◼ Data Warehouse Design and Usage ◼ Data Warehouse Implementation ◼ Data Generalization by Attribute-Oriented Induction ◼ Summary

◼ Data Preprocessing: An Overview ◼ Data Quality ◼ Major Tasks in Data Preprocessing ◼ Data Cleaning ◼ Data Integration ◼ Data Reduction ◼ Data Transformation and Data Discretization ◼ Summary

◼ Data Objects and Attribute Types ◼ Basic Statistical Descriptions of Data ◼ Data Visualization ◼ Measuring Data Similarity and Dissimilarity ◼ Summary