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Spatiotemporal method for anomaly detection in dictionary learning and sparse signal recognition

机译:词典学习和稀疏信号识别中的时空异常检测方法

摘要

A method for constructing a dictionary to represent data from a training data set comprising: modeling the data as a linear combination of columns; modeling outliers in the data set via deterministic outlier vectors; formatting the training data set in matrix form for processing; defining an underlying structure in the data set; quantifying a similarity across the data; building a Laplacian matrix; using group-Lasso regularizers to succinctly represent the data; choosing scalar parameters for controlling the number of dictionary columns used to represent the data and the number of elements of the training data set identified as outliers; using BCD and PG methods on the vector-matrix-formatted data set to estimate a dictionary, corresponding expansion coefficients, and the outlier vectors; and using a length of the outlier vectors to identify outliers in the data.
机译:一种构造字典以表示来自训练数据集的数据的方法,包括:将数据建模为列的线性组合;通过确定性离群向量在数据集中对离群建模;以矩阵形式格式化培训数据集以进行处理;在数据集中定义基础结构;量化整个数据的相似性;建立拉普拉斯矩阵;使用组套索正则化器简洁地表示数据;选择标量参数以控制用于表示数据的词典列的数量以及被识别为异常值的训练数据集的元素的数量;在向量矩阵格式的数据集上使用BCD和PG方法估计字典,相应的扩展系数和离群向量;并使用一定长度的离群矢量来识别数据中的离群。

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