CN104239489A - Method for predicting water level by similarity search and improved BP neural network - Google Patents

Method for predicting water level by similarity search and improved BP neural network Download PDF

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CN104239489A
CN104239489A CN201410454011.7A CN201410454011A CN104239489A CN 104239489 A CN104239489 A CN 104239489A CN 201410454011 A CN201410454011 A CN 201410454011A CN 104239489 A CN104239489 A CN 104239489A
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张鹏程
万定生
肖艳
朱跃龙
冯钧
刘宗磊
庄媛
周宇鹏
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Abstract

The invention discloses a method for predicting the water level by similarity search and an improved BP neural network. According to the method, the similarity measurement is carried out according to the water level in 15 days before the prediction day and the water level in months with the similar hydrological characteristics in the past 50 years, the water level time period most similar to each year is found, then, the most similar water level time period in the 50 years and the water level in the later day are used as a training set, and the BP neural network based on a genetic algorithm can be adopted for prediction. The method comprises the steps that data preprocessing is carried out for making up the data missing error and the like; similarity search is carried out, the dynamic bending distance and the sliding window technology are used for finding the minimum distance, i.e., the most similar sequence, between the water level in the 15 days and the water level in the similar months in the former 50 years; the BP neural network based on the genetic algorithm is adopted, the genetic algorithm is used for building a system hierarchy structure for global optimization, and in addition, the study training capability of the BP neural network is used for prediction. The method provided by the invention has the advantages that the water level can be predicted in advance, and the effective technical support can be provided for the flood control and disaster relief.

Description

利用相似性搜索和改进BP神经网络预测水位的方法A Method of Using Similarity Search and Improving BP Neural Network to Predict Water Level

技术领域technical field

本发明涉及一种利用相似性搜索和基于遗传算法改进的BP神经网络预测水位的技术,尤其涉及对水位信息的相似性搜索以及基于遗传算法的BP神经网络预测技术,属于信息技术领域。The invention relates to a technology for predicting water level by using similarity search and improved BP neural network based on genetic algorithm, in particular to similarity search for water level information and BP neural network prediction technology based on genetic algorithm, which belongs to the field of information technology.

背景技术Background technique

时间序列是属性值在是时间顺序上的特征,即为时间的积累,随着时代的前行,水文数据也在慢慢的积累,这些水文数据拥有大量、种类多、维度高、更新快等特点,如何对这些数据进行有力的分析,从中得到有用的信息成为人们关注的焦点。随着科学技术的发展以及水文数据的积累,人们给予防洪抗灾更多的关注。如果对于一个流域的某日或多日水位能够进行有效的预测,这将为洪水预报,防洪调度提供有力的技术支持。Time series is the characteristic of attribute values in time order, which is the accumulation of time. With the advancement of the times, hydrological data is also slowly accumulating. These hydrological data have a large number, variety, high dimensionality, and fast update. How to analyze these data powerfully and get useful information from it has become the focus of attention. With the development of science and technology and the accumulation of hydrological data, people pay more attention to flood control and disaster relief. If the water level of a river basin can be effectively predicted for one or more days, it will provide strong technical support for flood forecasting and flood control scheduling.

目前存在很多水文预测的方法,但它们都有一些缺陷。使用最广的是水文领域的模型预测,但这些模型一般只能用在特定的流域,它们相互之间具有唯一的对应关系,即适应性弱,并且更注重水文知识的应用,无法得到的很好的推广;排除水文专业知识的局限,比较容易接受的是计算机领域的方法,这更强调对数据的分析,应用各种方法对往年大量数据分析来达到预测的目的,比如基于神经网络的预测,其可能收敛到局部最小值,无法对收敛速度进行控制等;支持向量机的预测,无法实施大规模的训练样本。There are many methods of hydrological prediction, but they all have some defects. The most widely used models are predictions in the field of hydrology, but these models can only be used in specific watersheds. They have a unique correspondence with each other, that is, they are weak in adaptability, and they pay more attention to the application of hydrological knowledge. Good promotion; to exclude the limitations of hydrological professional knowledge, it is easier to accept the method in the computer field, which emphasizes the analysis of data, and uses various methods to analyze a large amount of data in previous years to achieve the purpose of prediction, such as prediction based on neural network , it may converge to a local minimum, and the convergence speed cannot be controlled; the prediction of the support vector machine cannot implement large-scale training samples.

发明内容Contents of the invention

发明目的:针对现有技术中存在的问题,为提高水位预测的精度以及适应性,本发明提供一种利用相似性搜索和基于遗传算法改进的BP神经网络预测水位的方法。Purpose of the invention: Aiming at the problems existing in the prior art, in order to improve the accuracy and adaptability of water level prediction, the present invention provides a method for predicting water level by using similarity search and improved BP neural network based on genetic algorithm.

技术方案:一种利用相似性搜索和基于遗传算法改进的BP神经网络预测水位的方法,包括:Technical solution: a method for predicting water level using similarity search and improved BP neural network based on genetic algorithm, including:

a)数据预处理:预处理过程包括:数据选择(data selection)、数据清洗(datacleaning)、数据转换(data transformation)。首先确定需要处理的数据即待预测日前十五日水位和前五十年相同月份的水位值,这就是数据选择;对于水文时间序列中存在的缺失和噪声需要进行清洗,使之不影响结果的正确性;水文时间序列是海量的高维数据,其中蕴含的噪声点(短期的波动)会影响相似性判别,所以需要对时序数据进行平滑处理即数据转换;a) Data preprocessing: The preprocessing process includes: data selection, data cleaning, and data transformation. First, determine the data to be processed, that is, the water level on the 15th day before the forecast date and the water level value in the same month in the previous 50 years. This is data selection; the absence and noise in the hydrological time series need to be cleaned so that they do not affect the results. Correctness; hydrological time series are massive high-dimensional data, and the noise points (short-term fluctuations) contained in them will affect the similarity judgment, so it is necessary to smooth the time series data, that is, data conversion;

b)相似性度量:根据动态时间弯曲距离,利用待预测日前十五日的水位在五十年同月份水位中查找最相似的水位时间段,将这五十组相似水位及相应的后一日水位作为训练集;b) Similarity measure: According to the dynamic time warping distance, use the water level of the 15 days before the forecast to be predicted to find the most similar water level time period among the water levels of the same month in fifty years, and combine these fifty groups of similar water levels and the corresponding next day The water level is used as the training set;

所述同月份水位:即搜索月份的确定,根据流域水位的水文特性,每年每个季度或者每个月份的水位信息具有一定的特性,比如:太湖流域的水文特点以及季节变换规律是5月份水位比较平缓,6月份则稍稍有所上升。因此在确定搜索月份的时候必须充分考虑流域的水文特点及季节变换规律,将与待搜索十五日的水位特性有相近水文特点的月份列入搜索范围。The water level in the same month: that is, the determination of the search month. According to the hydrological characteristics of the water level in the basin, the water level information in each quarter or month of each year has certain characteristics. For example, the hydrological characteristics and seasonal changes of the Taihu Lake Basin are the water level in May Relatively flat, slightly increased in June. Therefore, when determining the search month, we must fully consider the hydrological characteristics of the watershed and seasonal changes, and include the months with similar hydrological characteristics to the water level characteristics of the 15 days to be searched in the search range.

确定好搜索月份后,根据动态时间弯曲(Dynamic Time Warping,DTW)方法,利用滑动窗口技术,在五十年的每年的搜索月份中查找出每年与待搜索十五日水位最相似的水位,并将其起始终止日期标记出来,同时取出每年相似水位后一日的水位,这样就能得到五十组相似水位+后一日水位(相当于待预测日的水位)的训练集。After determining the search month, according to the dynamic time warping (Dynamic Time Warping, DTW) method, using the sliding window technology, find out the water level most similar to the 15-day water level to be searched every year in the 50-year search month, and Mark its start and end dates, and take out the water level on the day after the similar water level every year, so that you can get a training set of fifty groups of similar water levels + the water level on the next day (equivalent to the water level on the day to be predicted).

c)遗传算法:在训练前,先通过遗传算法对染色体的选择交叉变异等遗传运算找到BP神经网络最优的初始权值。并且,当BP神经网络陷入极小值时,再次转入遗传算法优化网络参数。当满足精度要求后获取最优权值和阈值;c) Genetic Algorithm: Before training, first find the optimal initial weight value of the BP neural network through genetic operations such as genetic algorithm for selection of chromosomes, crossover and mutation. And, when the BP neural network falls into the minimum value, turn to the genetic algorithm to optimize the network parameters again. Obtain the optimal weight and threshold when the accuracy requirements are met;

所述获取最优初始权值:是指产生初始群体并进行群体编码,针对参加训练的输入因子,由于神经网络规模较大,所以用实数编码,即将一个实数直接作为一个染色体的基因位。按照神经网络的常规方法生成网络的权重,编码的组成部分有:输入层与隐含层的连接权值、隐含层与输出层的连接权值、隐含层阈值、输出层阈值。将这些连接在一起形成一个长串,上面每一个位置代表着网络的一个权值和阈值,这就构成了一个个体,产生多个这样的个体就构成了初始群体;The acquisition of optimal initial weights refers to generating an initial group and carrying out group coding. For the input factors participating in the training, due to the large scale of the neural network, real number coding is used, that is, a real number is directly used as a gene bit of a chromosome. The weight of the network is generated according to the conventional method of the neural network. The coding components include: the connection weight between the input layer and the hidden layer, the connection weight between the hidden layer and the output layer, the hidden layer threshold, and the output layer threshold. Connect these together to form a long string, and each position above represents a weight and threshold of the network, which constitutes an individual, and multiple such individuals form the initial group;

所述获取最终的最优权值阈值:根据个体得到的BP神经网络的最优初始权值阈值,用训练数据训练BP神经网络得到系统输出即期望的预测输出,个体适应度值就是实际输出与期望输出之间的误差绝对值。将适应度值低的个体进行选择交叉变异,符合优化原则的即为最优权值阈值。The acquisition of the final optimal weight threshold: according to the optimal initial weight threshold of the BP neural network obtained by the individual, use the training data to train the BP neural network to obtain the system output, that is, the expected predicted output, and the individual fitness value is the actual output and The absolute value of the error between the desired outputs. Individuals with low fitness values are selected for cross-variation, and those that meet the optimization principle are the optimal weight thresholds.

d)利用BP神经网络训练得到预测值:将由遗传算法得到的最优初始权值以及满足条件的最优权值阈值代入BP神经网络进行训练,得到样本的实际输出与期望输出之间的误差,再按照正常的训练原则调整权值矩阵,再次进行训练,直到得到最终的权值,最后根据待预测日前十五日的水位得到预测值。d) Using BP neural network training to obtain the predicted value: the optimal initial weight obtained by the genetic algorithm and the optimal weight threshold satisfying the conditions are substituted into the BP neural network for training to obtain the error between the actual output of the sample and the expected output, Then adjust the weight matrix according to the normal training principle, train again until the final weight is obtained, and finally get the predicted value according to the water level 15 days before the forecast date.

有益效果:与现有技术相比,本发明所提供的利用相似性搜索和遗传算法改进的BP神经网络预测水位的方法有很强的适应性,不受流域的限制,利用相似性搜索能够获取最有效的训练集,并且利用遗传算法改进BP神经网络,避免其陷入局部最小值,能够大大提高训练效果。Beneficial effects: Compared with the prior art, the method for predicting water level using similarity search and genetic algorithm improved BP neural network provided by the present invention has strong adaptability, is not limited by watershed, and can be obtained by using similarity search The most effective training set, and using the genetic algorithm to improve the BP neural network, avoiding it from falling into the local minimum, can greatly improve the training effect.

附图说明Description of drawings

图1为本发明实施例的方法流程图;Fig. 1 is the method flowchart of the embodiment of the present invention;

图2为本发明实施例的数据预处理流程图;Fig. 2 is the data preprocessing flowchart of the embodiment of the present invention;

图3为本发明实施例的相似性搜索执行流程图;Fig. 3 is the execution flow chart of similarity search of the embodiment of the present invention;

图4为本发明实施例的遗传算法改进的BP神经网络执行流程图;Fig. 4 is the execution flowchart of the BP neural network improvement of the genetic algorithm of the embodiment of the present invention;

图5为本发明实施例的遗传算法执行流程图;Fig. 5 is the execution flowchart of the genetic algorithm of the embodiment of the present invention;

图6为本发明实施例的BP神经网络执行流程图。Fig. 6 is a flow chart of BP neural network execution according to the embodiment of the present invention.

具体实施方式Detailed ways

下面结合具体实施例,进一步阐明本发明,应理解这些实施例仅用于说明本发明而不用于限制本发明的范围,在阅读了本发明之后,本领域技术人员对本发明的各种等价形式的修改均落于本申请所附权利要求所限定的范围。Below in conjunction with specific embodiment, further illustrate the present invention, should be understood that these embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention, after having read the present invention, those skilled in the art will understand various equivalent forms of the present invention All modifications fall within the scope defined by the appended claims of the present application.

如图1所示:As shown in Figure 1:

a)数据预处理:包括数据选择、数据清洗、数据转换。a) Data preprocessing: including data selection, data cleaning, and data conversion.

首先确定需要处理的数据即待预测日前十五日水位和前五十年相同月份的水位值,这就是数据选择;对于水文时间序列中存在的缺失和噪声需要进行清洗,使之不影响结果的正确性;水文时间序列是海量的高维数据,其中蕴含的噪声点(短期的波动)会影响相似性判别,所以需要对时序数据进行平滑处理即数据转换;First, determine the data to be processed, that is, the water level on the 15th day before the forecast date and the water level value in the same month in the previous 50 years. This is data selection; the absence and noise in the hydrological time series need to be cleaned so that they do not affect the results. Correctness; hydrological time series are massive high-dimensional data, and the noise points (short-term fluctuations) contained in them will affect the similarity judgment, so it is necessary to smooth the time series data, that is, data conversion;

b)相似性度量:根据动态时间弯曲距离,利用待预测日前十五日的水位在五十年同月份水位中查找最相似的水位时间段,将这五十组相似水位及相应的后一日水位作为训练集;b) Similarity measure: According to the dynamic time warping distance, use the water level of the 15 days before the forecast to be predicted to find the most similar water level time period among the water levels of the same month in fifty years, and combine these fifty groups of similar water levels and the corresponding next day The water level is used as the training set;

所述同月份水位:即搜索月份的确定,根据流域水位的水文特性,每年每个季度或者每个月份的水位信息具有一定的特性,比如:太湖流域的水文特点以及季节变换规律是5月份水位比较平缓,6月份则稍稍有所上升。因此在确定搜索月份的时候必须充分考虑流域的水文特点及季节变换规律,将与待搜索十五日的水位特性有相近水文特点的月份列入搜索范围。The water level in the same month: that is, the determination of the search month. According to the hydrological characteristics of the water level in the basin, the water level information in each quarter or month of each year has certain characteristics. For example, the hydrological characteristics and seasonal changes of the Taihu Lake Basin are the water level in May Relatively flat, slightly increased in June. Therefore, when determining the search month, we must fully consider the hydrological characteristics of the watershed and seasonal changes, and include the months with similar hydrological characteristics to the water level characteristics of the 15 days to be searched in the search range.

确定好搜索月份后,根据动态时间弯曲方法,利用滑动窗口技术,在五十年的每年的搜索月份中查找出每年与待搜索十五日水位最相似的水位,并将其起始终止日期标记出来,同时取出每年相似水位后一日的水位,这样就能得到(五十组相似水位+后一日水位(相当于待预测日的水位))的训练集。After determining the search month, according to the dynamic time warping method, use the sliding window technology to find the water level that is most similar to the water level on the 15th day to be searched every year in the 50-year search month, and mark its start and end dates Come out, and take out the water level of the day after the similar water level every year at the same time, so that you can get a training set of (50 groups of similar water levels + the water level of the next day (equivalent to the water level of the day to be predicted)).

c)遗传算法:在训练前,先通过遗传算法对染色体的选择交叉变异等遗传运算找到BP神经网络最优的初始权值。并且,当BP神经网络陷入极小值时,再次转入遗传算法优化网络参数。当满足一定的精度后获取最优权值和阈值;c) Genetic Algorithm: Before training, first find the optimal initial weight value of the BP neural network through genetic operations such as genetic algorithm for selection of chromosomes, crossover and mutation. And, when the BP neural network falls into the minimum value, turn to the genetic algorithm to optimize the network parameters again. When a certain accuracy is met, the optimal weight and threshold are obtained;

所述获取最优初始权值:是指产生初始群体并进行群体编码,针对参加训练的输入因子,由于神经网络规模较大,所以用实数编码,即将一个实数直接作为一个染色体的基因位。按照神经网络的常规方法生成网络的权重,编码的组成部分有:输入层与隐含层的连接权值、隐含层与输出层的连接权值、隐含层阈值、输出层阈值。将这些连接在一起形成一个长串,上面每一个位置代表着网络的一个权值和阈值,这就构成了一个个体,产生多个这样的个体就构成了初始群体;The acquisition of optimal initial weights refers to generating an initial group and carrying out group coding. For the input factors participating in the training, due to the large scale of the neural network, real number coding is used, that is, a real number is directly used as a gene bit of a chromosome. The weight of the network is generated according to the conventional method of the neural network. The coding components include: the connection weight between the input layer and the hidden layer, the connection weight between the hidden layer and the output layer, the hidden layer threshold, and the output layer threshold. Connect these together to form a long string, and each position above represents a weight and threshold of the network, which constitutes an individual, and multiple such individuals form the initial group;

所述获取最终的最优权值阈值:根据个体得到的BP神经网络的最优初始权值阈值,用训练数据训练BP神经网络得到系统输出即期望的预测输出,个体适应度值就是实际输出与期望输出之间的误差绝对值。将适应度值低的个体进行选择交叉变异,符合优化原则的即为最优权值阈值。The acquisition of the final optimal weight threshold: according to the optimal initial weight threshold of the BP neural network obtained by the individual, use the training data to train the BP neural network to obtain the system output, that is, the expected predicted output, and the individual fitness value is the actual output and The absolute value of the error between the desired outputs. Individuals with low fitness values are selected for cross-variation, and those that meet the optimization principle are the optimal weight thresholds.

d)BP神经网络:将由遗传算法得到的最优初始权值以及满足条件的最优权值阈值代入BP神经网络进行训练,得到样本的实际输出与期望输出之间的误差,再按照正常的训练原则调整权值矩阵,再次进行训练,直到得到最终的权值,最后根据待预测日前十五日的水位得到预测值。d) BP neural network: Substituting the optimal initial weight obtained by the genetic algorithm and the optimal weight threshold satisfying the conditions into the BP neural network for training to obtain the error between the actual output of the sample and the expected output, and then follow the normal training In principle, adjust the weight matrix, train again until the final weight is obtained, and finally get the predicted value according to the water level 15 days before the forecast date.

如图2为数据预处理流程图:Figure 2 is the flow chart of data preprocessing:

实际生活中,由于观测设备故障、系统滞后等原因,造成水文数据库中一个或连续多个时间点的数据缺失。这样的低质量数据在一定程度上会影响相似性的判别结果,进而影响预测结果的准确性,因此必须对水文观测数据加以预处理。采用插值,数据填充,序列平滑等变换方法对时间序列进行预处理,为相似性搜索模型做准备。预处理过程包括:数据选择、数据清洗、数据转换。In real life, due to observation equipment failure, system lag and other reasons, the data of one or more consecutive time points in the hydrological database is missing. Such low-quality data will affect the similarity discrimination results to a certain extent, and then affect the accuracy of prediction results, so the hydrological observation data must be preprocessed. Use interpolation, data filling, sequence smoothing and other transformation methods to preprocess the time series to prepare for the similarity search model. The preprocessing process includes: data selection, data cleaning, and data conversion.

首先确定需要处理的数据即某流域待预测日前十五日水位和前五十年相同月份的水位值,这就是数据选择;Firstly, determine the data to be processed, that is, the water level of a watershed 15 days before the forecast date and the water level value of the same month in the previous fifty years, which is data selection;

对于水文时间序列中存在的缺失需要进行清洗,使之不影响结果的正确性,对于时间序列中的数据缺失,其形成原因常是数据收集过程中数据采集设备故障,网络传输缺失或人工遗漏。忽略这些数据或者简单使用数据进行补全,通常会影响相似性查询的结果,导致不可靠的匹配结果,进而影响预测的结果。使用相关时间序列在该时间段上的总体平均值来填补缺失;例如参考临近的多个测站对应时间段的信息;The missing in the hydrological time series needs to be cleaned so that it does not affect the correctness of the results. For the missing data in the time series, the reasons are often the failure of the data acquisition equipment during the data collection process, the lack of network transmission or manual omission. Ignoring these data or simply using the data for completion usually affects the results of similarity queries, leading to unreliable matching results, which in turn affects the prediction results. Use the overall average value of the relevant time series in the time period to fill in the missing; for example, refer to the information of the corresponding time period of multiple nearby stations;

水文时间序列是海量的高维数据,其中蕴含的噪声点(短期的波动)会影响相似性判别,所以需要对时序数据进行平滑处理即数据转换。利用离散小波变换(DWT)进行多尺度的变换,得到低频信号直到满足所要求的平滑程度为止。Hydrological time series are massive high-dimensional data, and the noise points (short-term fluctuations) contained in them will affect the similarity judgment, so it is necessary to smooth the time series data, that is, data conversion. The discrete wavelet transform (DWT) is used for multi-scale transformation to obtain low-frequency signals until the required smoothness is met.

如图3为相似性搜索执行流程图。包括如下步骤:Figure 3 is a flow chart of similarity search execution. Including the following steps:

步骤101,按照权利书中所说的确定好搜索月份后,将待匹配序列即待预测日前十五日的水位时间序列以及待搜索序列即搜索月份的水位时间序列进行标准化。采用零-均值方法,对于原始序列C,将其标准化为序列C′,其中u和v分别为该序列的平均值和标准差:Step 101: After determining the search month according to the claim, standardize the sequence to be matched, that is, the water level time series of the fifteen days before the forecast date, and the sequence to be searched, that is, the water level time series of the search month. Using the zero-mean method, for the original sequence C, it is normalized to a sequence C', where u and v are the mean and standard deviation of the sequence respectively:

cc ii ,, == cc ii -- uu vv -- -- -- (( 11 ))

步骤102,确定滑动窗口的长度,一般为待匹配序列长度的1/2或2倍,即[7,21],并将匹配长度初始化为7;Step 102, determine the length of the sliding window, which is generally 1/2 or 2 times the length of the sequence to be matched, i.e. [7,21], and initialize the matching length to 7;

步骤103,判断匹配的长度是否介于滑动窗口长度的最小值和最大值之间即[7,21],若是,则进行下一步,否则进行步骤106;Step 103, judge whether the matching length is between the minimum value and the maximum value of the sliding window length [7,21], if so, proceed to the next step, otherwise proceed to step 106;

步骤104,判断是否以此长度的滑动窗口将一条搜索序列匹配结束,若不是则进行下一步,否则将滑动窗口的长度加一进行步骤103;Step 104, judging whether a search sequence is matched with a sliding window of this length, if not, then proceed to the next step, otherwise, add one to the length of the sliding window and proceed to step 103;

步骤105,计算一定长度的滑动窗口每向后移一位得到的序列与待匹配序列之间的DTW距离,并标记相应序列起始终止位置。计算长度分别为m和n时间序列X和Y之间的DTW距离过程如下:Step 105, calculate the DTW distance between the sequence obtained by shifting backward one bit of the sliding window of a certain length and the sequence to be matched, and mark the start and end positions of the corresponding sequence. The process of calculating the DTW distance between time series X and Y of length m and n respectively is as follows:

(1)构造X和Y之间的矩阵M,M中坐标(i,j)对应的值mij为xi与yj之间的欧式距离d(xi,yi);(1) Construct the matrix M between X and Y, and the value m ij corresponding to the coordinate (i, j) in M is the Euclidean distance d( xi , y i ) between x i and y j ;

(2)构造累计矩阵R,坐标(i,j)对应的值得计算公式如下:(2) Construct the cumulative matrix R, and the value calculation formula corresponding to the coordinates (i, j) is as follows:

r1,1=d(x1,y1)   (2)r 1,1 =d(x 1 ,y 1 ) (2)

ri,j=d(xi,yj)+min{ri-1,j-1,ri-1,j,ri,j-1}r i,j =d(x i ,y j )+min{r i-1,j-1 ,r i-1,j ,r i,j-1 }

(3)最终时间序列弯曲路径的最小累加值rm,n就是时间序列X和Y之间的DTW距离。(3) The minimum cumulative value r m,n of the curved path of the final time series is the DTW distance between time series X and Y.

计算一定长度的滑动窗口遍历完一条搜索序列后所有的DTW距离并记录后,重复步骤104;After calculating and recording all DTW distances after a sliding window of a certain length has traversed a search sequence, repeat step 104;

步骤106,对于一条搜索序列即五十年中一年的搜索月份的水位时间序列,计算出待匹配序列与其所有的DTW距离,比较得出最短距离以及对应的起始终止位置即对应起始终止日期,这样就得到了五十年中一年的最相似序列,将这条序列及其后一日水位作为一个训练样本,其他年份以此类推,那么就得到了所有的训练集。Step 106, for a search sequence, that is, the water level time series of the search month in one year in fifty years, calculate the DTW distance between the sequence to be matched and all of them, and compare the shortest distance and the corresponding start and end positions, that is, the corresponding start and end date, so that the most similar sequence of one year in fifty years is obtained, and this sequence and the water level of the next day are used as a training sample, and so on for other years, then all the training sets are obtained.

如图4所示,为本实施例的遗传算法改进的BP神经网络执行流程图:As shown in Figure 4, the BP neural network execution flowchart improved for the genetic algorithm of the present embodiment:

遗传算法初始种群中的每条染色体都由BP神经网络中的初始权值阈值组成,并进行群体编码。将由初始化的BP神经网络得到的系统输出与实际输出之间的误差绝对值作为个体适应度值。将适应度值低的个体进行选择交叉变异,符合优化原则的作为最优权值阈值,输入到BP神经网络进行训练,不断运用BP算法的学习,直到得到最终的权值,即确定出最适合的神经网络,最后根据待预测日前十五日的水位得到预测值。Each chromosome in the initial population of the genetic algorithm is composed of the initial weight threshold in the BP neural network, and carries out population coding. The absolute value of the error between the system output obtained by the initialized BP neural network and the actual output is taken as the individual fitness value. Individuals with low fitness values are selected for cross-mutation, and those that meet the optimization principle are used as the optimal weight threshold, and are input to the BP neural network for training, and the BP algorithm is continuously used to learn until the final weight is obtained, that is, the most suitable weight is determined. The neural network, and finally get the predicted value according to the water level 15 days before the forecast date.

如图5所示,为本实施例的遗传算法执行流程图。包括如下步骤:As shown in FIG. 5 , it is a flowchart of the execution of the genetic algorithm of this embodiment. Including the following steps:

步骤201,产生初始群体并进行群体编码,针对参加训练的输入因子,使用实数编码,即将一个实数直接作为一个染色体的基因位。按照神经网络的常规方法生成网络的权重,编码的组成部分有:输入层与隐含层的连接权值、隐含层与输出层的连接权值、隐含层阈值、输出层阈值。将这些连接在一起形成一个长串,上面每一个位置代表着网络的一个权值和阈值,这就构成了一个个体,产生多个这样的个体就构成了初始群体;In step 201, an initial population is generated and population coding is performed, and real number coding is used for input factors participating in training, that is, a real number is directly used as a gene bit of a chromosome. The weight of the network is generated according to the conventional method of the neural network. The coding components include: the connection weight between the input layer and the hidden layer, the connection weight between the hidden layer and the output layer, the hidden layer threshold, and the output layer threshold. Connect these together to form a long string, and each position above represents a weight and threshold of the network, which constitutes an individual, and multiple such individuals form the initial group;

步骤202,根据个体得到的BP神经网络的最优初始权值阈值,用训练数据训练BP神经网络得到系统输出,个体适应度值就是实际输出与系统输出之间的误差绝对值ΔEi,个体适应度值f(i)就是:Step 202, according to the optimal initial weight threshold of the BP neural network obtained by the individual, use the training data to train the BP neural network to obtain the system output, the individual fitness value is the absolute value of the error ΔE i between the actual output and the system output, and the individual adaptation The degree value f(i) is:

f(i)=M/ΔEi   (3)f(i)=M/ΔE i (3)

其中,M是大数,为了防止适应度值太小,这样可以使遗传算法向适应症增大的方向进化;Among them, M is a large number, in order to prevent the fitness value from being too small, this can make the genetic algorithm evolve in the direction of increasing the indication;

步骤203,分析群体的适应度,如果符合优化原则,则直接输出最优个体及参数即最优权值和阈值进入BP神经网络,否则进行下一步;Step 203, analyze the fitness of the group, if it conforms to the optimization principle, then directly output the optimal individual and parameters, that is, the optimal weight and threshold, into the BP neural network, otherwise proceed to the next step;

步骤204,根据每个个体的适应度值进行选择计算,保留拥有高适应度值的个体,将适应度值最大的直接进入下一代,不进行交叉变异等遗传操作,这样可以防止其退化。选择概率P(i)为:Step 204, select and calculate according to the fitness value of each individual, retain the individual with the highest fitness value, directly enter the next generation with the highest fitness value, and do not perform genetic operations such as crossover mutation, so as to prevent its degradation. The selection probability P(i) is:

PP (( ii )) == ff (( ii )) // ΣΣ ii == 11 NN ff (( ii )) -- -- -- (( 44 ))

其中,N为种群个体数目;Among them, N is the number of individuals in the population;

步骤205,交叉算子作用于整个个体产生新的一代,如第i个个体与第j个个体在k位的交叉操作为:Step 205, the crossover operator acts on the entire individual to generate a new generation, for example, the crossover operation between the i-th individual and the j-th individual at position k is:

aa ikik == (( 11 -- αα )) aa ikik ++ αα aa jkjk aa jkjk == (( 11 -- αα )) aa jkjk ++ αα aa jkjk -- -- -- (( 55 ))

其中,α是[0,1]之间的随机数;Among them, α is a random number between [0,1];

步骤206,使用变异算子对群体中的个体进行结构变异调整产生新个体,将第i个个体的第j个基因aij进行变异,变异操作如下:Step 206, use the mutation operator to adjust the structural variation of the individuals in the population to generate new individuals, and mutate the jth gene a ij of the i-th individual, the mutation operation is as follows:

ff (( gg )) == αα (( 11 -- gg GG maxmax )) 22

aa ijij == aa ijij ++ (( aa ijij -- aa maxmax )) ff (( gg )) αα >> 0.50.5 aa ijij ++ (( aa minmin -- aa ijij )) ff (( gg )) αα ≤≤ 0.50.5 -- -- -- (( 66 ))

其中,amax和amin分别是aij的最大值和最小值,α是[0,1]之间的随机数,g是当前的迭代次数,Gmax是最大进化次数。Among them, a max and a min are the maximum and minimum values of a ij respectively, α is a random number between [0,1], g is the current number of iterations, and G max is the maximum number of evolutions.

经过选择交叉变异后的个体成为下一代群体,重复步骤203。The individuals after selection and cross-mutation become the next generation population, and step 203 is repeated.

如图6所示,为本发明的BP神经网络执行流程图,具体包括如下步骤:As shown in Figure 6, it is a BP neural network execution flowchart of the present invention, which specifically includes the following steps:

步骤301,网络建立:确定网络拓扑,将由遗传算法得到的最优初始权值以及满足条件的最优权值阈值解码后代入BP神经网络进行训练;Step 301, network establishment: determine the network topology, and decode the optimal initial weight obtained by the genetic algorithm and the optimal weight threshold satisfying the conditions into the BP neural network for training;

步骤302,给定输入向量和目标输出,前五十年每年最相似的时间段水位为输入向量,每年相似水位模式的后一日水位作为目标输出;Step 302, given the input vector and the target output, the water level of the most similar time period in the first fifty years is the input vector, and the water level of the next day of the similar water level pattern is the target output;

步骤303,求隐含层和输出层的输出及对应的训练误差;Step 303, seeking the output of hidden layer and output layer and corresponding training error;

步骤304,根据每次训练得到的误差来调整网络的权值和阈值,若训练误差小于设定误差则调整权值矩阵,重复步骤303,经过反复迭代得到最终的网络;Step 304, adjust the weight and threshold of the network according to the error obtained in each training, if the training error is less than the set error, adjust the weight matrix, repeat step 303, and obtain the final network through repeated iterations;

步骤305,根据待预测日前十五日的水位输入BP神经网络得到预测值。Step 305, inputting the water level 15 days before the forecast date into the BP neural network to obtain the forecast value.

Claims (3)

1. utilize a method for similarity searching and improved BP forecast level, it is characterized in that, comprising:
A) data prediction, comprising: data selection, data cleansing, data conversion;
First determine to need data to be processed and the water level value in 15 days a few days ago to be predicted water level months identical with front ISUZU company, Here it is data selection; The disappearance existed in Hydrological Time Series and noise are needed to clean, makes it the correctness and the data cleansing that do not affect result; To the smoothing process of time series data and data conversion, the transform methods such as employing interpolation, data stuffing, sequence are level and smooth carry out pre-service to time series, for similarity searching model is prepared;
B) similarity measurement: according to dynamic time warping distance, utilize sliding window technique, the most similar water level time period is searched at ISUZU company with in month water level, using these 50 groups of similar water levels and latter one day accordingly water level as training set with the water levels of 15 days a few days ago to be predicted;
C) genetic algorithm: before training, first finds the initial weight of BP neural network optimum to genetic operation such as chromosomal selection cross and variation by genetic algorithm; Further, when BP neural network is absorbed in minimal value, genetic algorithm optimization network parameter is again proceeded to; Best initial weights and threshold value is obtained after meeting certain precision;
D) BP neural network and reverse transmittance nerve network: the optimum initial weight obtained by genetic algorithm and the best initial weights threshold value satisfied condition are substituted into BP neural network and trains, obtain the error between the actual output of sample and desired output, again according to normal training philosophy adjustment weight matrix, again train, until obtain final weights, finally obtain predicted value according to the water level of 15 days a few days ago to be predicted.
2. utilize the method for similarity searching and improved BP forecast level as claimed in claim 1, it is characterized in that, described same month water level: the determination of namely searching for month, according to the water regime of basin water level, the water level information in annual each season or each month has certain characteristic, therefore must take into full account Hydrological characteristics and the seasonal variations rule in basin when determining to search for month, having the month of close Hydrological characteristics to list hunting zone in the water level characteristic with 15 days to be searched;
After determining search month, according to dynamic time warping method, utilize sliding window technique, find out in the annual search month of ISUZU company every year to the water level that water level was the most similar in 15 days to be searched, and its initial date of expiry is marked, take out the water level of after annual similar water level one day simultaneously, so just can obtain the training set of 50 groups of similar water levels+latter day water level.
3. utilize the method for similarity searching and improved BP forecast level as claimed in claim 1, it is characterized in that, the optimum initial weight of described acquisition: refer to and produce initial population and carry out Population Coding, for the enter factor participating in training, because scale of neural network is larger, so with real coding, by a real number directly as a chromosomal gene position, the weight of generating network, the ingredient of coding has: connection weights, hidden layer threshold value, the output layer threshold value of the connection weights of input layer and hidden layer, hidden layer and output layer;
These are joined together to form a long string, above each position represent a weights and threshold of network, this just constitutes body one by one, produces multiple individuality like this and just constitutes initial population;
The best initial weights threshold value that described acquisition is final: according to the optimum initial weight threshold value of the BP neural network that individuality obtains, obtain system by training data training BP neural network and export the prediction output namely expected, ideal adaptation angle value is exactly the Error Absolute Value between actual output and desired output; Individuality low for fitness value is carried out selection cross and variation, and what meet optimization principles is best initial weights threshold value.
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