CN106611227B - Method and system for predicting dynamic change curve of flow of interest point - Google Patents

Method and system for predicting dynamic change curve of flow of interest point Download PDF

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CN106611227B
CN106611227B CN201510698197.5A CN201510698197A CN106611227B CN 106611227 B CN106611227 B CN 106611227B CN 201510698197 A CN201510698197 A CN 201510698197A CN 106611227 B CN106611227 B CN 106611227B
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曹红杰
郭路
高雷
董建光
欧阳玲
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Bostar Navigation Iocation Based Services Beijing Co ltd
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Abstract

A method for predicting a flow dynamic change curve of an interest point comprises the following steps: extracting the flow information of the interest points from a historical database, and performing time-sharing statistics on the flow information of the interest points in one day to obtain a flow change curve of each day in a certain time period; generating a training sample set based on a flow change curve of each day in a certain time period by combining a method based on standard orthogonal basis decomposition; training an SVM model by utilizing a training sample set for the decomposition coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function; performing orthogonal basis decomposition coefficient prediction by using the obtained SVM regression prediction function; and predicting the flow dynamic change curve of the interest point by using the orthogonal basis decomposition coefficient. The dynamic flow curve prediction method can effectively improve the prediction precision and meet the requirement of dynamic prediction of the flow of the POI point of the actual map.

Description

Method and system for predicting dynamic change curve of flow of interest point
Technical Field
The invention belongs to the field of information technology and automatic control, and particularly relates to a method for predicting a flow change curve of a future day according to a daily flow change curve counted by historical data of POI points.
Background
With the popularization of map applications, the requirement for inquiring points of interest (POI for short in english) in a map is higher and higher, and it is desirable to not only inquire the position of a certain POI point, but also inquire various attribute information such as personnel traffic, scenic spot evaluation, surrounding weather and the like. Various rich POI attribute information is the basis for improving the use performance of the navigation map and is the key for improving the satisfaction degree of a user on the map searching performance. Traffic information is one of the important attributes of point of interest POI.
However, in the process of predicting the traffic of a POI point of a certain scenic spot, the existing prediction methods mostly adopt methods such as regression to predict the total traffic information of a certain day, and a method for predicting dynamic change information of traffic of the whole day is lacked, so that the method is difficult to meet the query requirement of a user on the dynamic change situation of the day, and how to accurately predict the dynamic change situation of the traffic of the POI point of a map in the day has important significance in aspects such as trip planning and scenic spot management of the user.
Disclosure of Invention
In order to overcome the defect that the prediction accuracy is difficult to meet the requirement of practical application because the existing prediction method does not consider the correlation existing in the flow among different moments in the flow prediction process and only carries out static prediction, the method for predicting the dynamic change curve of the flow of the POI point can be provided, and the flow information of each moment in a day can be predicted.
In order to achieve the above object, the present invention provides a method for predicting a dynamic change curve of a point of interest flow, including:
step 1), extracting flow information of interest points from a historical database, and performing time-sharing statistics on the flow information of the interest points in one day to obtain a flow change curve of each day in a certain time period;
step 2), generating a training sample set based on the flow change curve obtained in the step 1) every day in a certain time period by combining a method based on standard orthogonal basis decomposition; the input feature set of the training sample set comprises orthogonal basis decomposition coefficients of a plurality of days before the day to be predicted, and the output target set comprises the orthogonal basis decomposition coefficients of the day to be predicted;
step 3), training an SVM model by using the training sample set obtained in the step 2) for the decomposition coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function;
step 4), carrying out orthogonal basis decomposition coefficient prediction by using the SVM regression prediction function obtained in the step 3);
and 5) predicting a flow dynamic change curve of the interest point by using the orthogonal basis decomposition coefficient obtained by prediction in the step 4).
In the above technical solution, the step 2) further includes:
step 2-1), expanding the daily flow rate change curve of the historical data obtained in the step 1) by adopting a method based on standard orthogonal basis decomposition to obtain an orthogonal basis decomposition coefficient β of the daily flow rate curveik
The standard orthogonal base adopts a normalized trigonometric function set, the number of the selected standard orthogonal base is L, and the standard orthogonal base is in the form of:
Figure BDA0000828796210000021
the coefficients after expansion are:
Figure BDA0000828796210000022
wherein: vijThe statistics result at a certain time point, i represents the number of days, j represents the j statistic of the ith day, and j is 1,2, … and N;
Figure BDA0000828796210000023
the value of the k-th basis function of phi (x) at point j βikThe expansion coefficient of the flow change curve of the ith day on the kth basis function is shown; 1,2,3, …, k 1,2,3, …, L;
step 2-2), generating a training sample set, comprising: taking the coefficients of the former Z days under a certain orthogonal base as input to form an input sample xm={βi-Z,ki-Z+1,k,…,βi-1,kWhere M is 1,2, …, and M is the total number of training samples; taking the decomposition coefficient under the orthogonal base at the Z +1 th day as an output ym={βi,k};
For M training samples, the training sample set is formed as follows:
an input feature set: x ═ X1,x2,…,xM];
Outputting a target set: f. of=[y1,y2,…,yM]。
In the above technical solution, the step 3) further includes:
step 3-1), solving an optimization problem by utilizing a quadratic programming algorithm:
Figure BDA0000828796210000031
s.t.
Figure BDA0000828796210000032
wherein, for a given parameter value, αi *、αiParameters found for training, yiFor the target output value of the training set, K (x)i,xj) Is a radial basis function kernel of the form:
Figure BDA0000828796210000033
xiis the input characteristic vector, gamma is the width parameter of the Gaussian kernel function;
step 3-2), after training is finished, establishing an SVM regression prediction function as follows:
Figure BDA0000828796210000034
where b is the trained threshold, αi *、αiParameters found for training; x is a given sample feature vector to be predicted;
Figure BDA0000828796210000035
is a predicted value for x.
In the above technical solution, the step 4) further includes:
using the decomposition coefficient of the dynamic flow change curve of Z days before the current day under the standard orthogonal basis as an input feature vector, and utilizing the SVM loop established under each orthogonal basisAnd predicting the coefficients under the orthogonal basis of the Z +1 th day in the future by the prediction function, and recording the prediction results of all the coefficients as:
Figure BDA0000828796210000037
in the above technical solution, the step 5) further includes:
step 5-1), predicting the flow value of each time point in the 11 th day by using the following formula in combination with the orthogonal basis function decomposition coefficient obtained by prediction in the step 4);
Figure BDA0000828796210000038
in the above formula VikFlow values representing the ith time point on day i;
and 5-2) connecting the prediction results of different time points in the day to form a flow dynamic change prediction curve of the day.
The invention also provides a system for predicting the flow dynamic change curve of the interest point, which comprises the following steps:
the time-sharing statistic module extracts the flow information of the interest points from the historical database, and carries out time-sharing statistics on the flow information of the interest points in one day to obtain a flow change curve of each day in a certain time period;
the training sample set generating module is used for generating a training sample set by combining a method based on standard orthogonal basis decomposition based on a flow change curve obtained by the time-sharing statistic module every day in a certain time period; the input feature set of the training sample set comprises orthogonal basis decomposition coefficients of a plurality of days before the day to be predicted, and the output target set comprises the orthogonal basis decomposition coefficients of the day to be predicted;
an SVM regression prediction module, which trains an SVM model by using the training sample set obtained by the training sample set generation module for the decomposition coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function;
an orthogonal basis decomposition coefficient prediction module which performs orthogonal basis decomposition coefficient prediction by using an SVM regression prediction function obtained by the SVM regression prediction module;
and the interest point flow dynamic change curve generation module predicts the interest point flow dynamic change curve by using the orthogonal base decomposition coefficient obtained by the orthogonal base decomposition coefficient prediction module.
The invention has the advantages that:
the invention overcomes the defect that the prediction accuracy is difficult to meet the actual application requirement because the existing prediction method only carries out static prediction without considering the correlation existing in the flow between different moments in the flow prediction process, can realize the prediction of the dynamic change of the all-day flow of the POI point, considers the dynamic characteristic of the flow change and improves the prediction accuracy.
Drawings
Fig. 1 is a flowchart of a method for predicting a POI point traffic dynamic change curve based on a process support vector machine.
Detailed Description
The method for predicting the POI point flow dynamic change curve based on the process support vector machine is realized by prediction algorithm control software depending on related hardware equipment such as a database system, a prediction algorithm server, a user client and the like.
The following describes in detail the steps of the method for predicting the POI point traffic dynamic change curve based on the process support vector machine proposed in the present invention with reference to fig. 1:
step 1), extracting flow information of POI points from a historical database, and performing time-sharing statistics on the flow information of the POI points in one day to obtain a flow change curve of each day in a certain time period;
the method specifically comprises the following steps: and inquiring according to the time range from the historical database, and carrying out statistics at regular intervals (such as 5 minutes) to obtain the flow conditions of different time points in one day, thereby obtaining the flow change curve of each day. Wherein, the statistical result at a certain time point is recorded as VijI denotes the day number, j denotes the j-th statistic on day i, j is 1,2, …, N.
And 2) generating a training sample set based on the daily flow change curve obtained in the step 1).
The method specifically comprises the following steps:
step 2-1), expanding the daily flow rate change curve of the historical data obtained in the step 1) by adopting a method based on standard orthogonal basis decomposition to obtain an orthogonal basis decomposition coefficient β of the daily flow rate curveik
The standard orthogonal base adopts a normalized trigonometric function set, the number of the selected standard orthogonal base is L, and the standard orthogonal base is in the form of:
Figure BDA0000828796210000051
the coefficients after expansion are:
Figure BDA0000828796210000052
wherein:
Figure BDA0000828796210000053
the value of the k-th basis function of phi (x) at point j βikThe expansion coefficient of the flow change curve of the ith day on the kth basis function is shown; i is 1,2,3, …, k is 1,2,3, …, L.
Step 2-2), generating a training sample set, comprising: taking the coefficients under a certain orthogonal base in the previous 10 days as input to form an input sample xm={βi-10,ki-9,k,…,βi-1,kWhere M is 1,2, …, and M is the total number of training samples; the decomposition coefficient at the orthogonal basis at day 11 is taken as the output ym={βi,k}。
For M training samples, the training sample set is formed as follows:
an input feature set: x ═ X1,x2,…,xM];
Outputting a target set: f ═ y1,y2,…,yM]。
The number of days for which samples are input is not limited to the 10 days mentioned here, but may be other values.
Step 3), training an SVM model by using the training sample set obtained in the step 2) for the coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function;
the method specifically comprises the following steps:
step 3-1), solving an optimization problem by utilizing a quadratic programming algorithm:
Figure BDA0000828796210000061
s.t.
Figure BDA0000828796210000062
wherein, for a given parameter value, αi *、αiParameters found for training, yiFor the target output value of the training set, K (x)i,xj) Is a radial basis function kernel of the form:
Figure BDA0000828796210000063
xiis the input characteristic vector, gamma is the width parameter of the Gaussian kernel function;
step 3-2), after training is finished, establishing an SVM regression prediction function as follows:
Figure BDA0000828796210000064
where b is the trained threshold, αi *、αiParameters found for training; x is a given sample feature vector to be predicted;
Figure BDA0000828796210000068
is a predicted value for x;
step 4), carrying out orthogonal basis decomposition coefficient prediction by using the SVM regression prediction function obtained in the step 3);
the method specifically comprises the following steps: with dynamic traffic variation 10 days before the current dayDecomposing coefficients of the curve under the standard orthogonal basis are used as input feature vectors, an SVM regression prediction function established under each orthogonal basis is used for predicting the coefficients under the orthogonal basis on the 11 th day in the future, and prediction results of all the coefficients are recorded as:
Figure BDA0000828796210000066
step 5), predicting a POI point flow dynamic change curve by using the orthogonal basis decomposition coefficient obtained by prediction in the step 4);
the method specifically comprises the following steps:
step 5-1), predicting the flow value of each time point in the 11 th day by using the following formula in combination with the orthogonal basis function decomposition coefficient obtained by prediction in the step 4);
Figure BDA0000828796210000067
in the above formula VikFlow values representing the ith time point on day i;
and 5-2) connecting the prediction results of different time points in the day to form a flow dynamic change prediction curve of the day.
Finally, it should be noted that the above embodiments are only used for illustrating the technical solutions of the present invention and are not limited. Although the present invention has been described in detail with reference to the embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (2)

1. A method for predicting a flow dynamic change curve of an interest point comprises the following steps:
step 1), extracting flow information of interest points from a historical database, and performing time-sharing statistics on the flow information of the interest points in one day to obtain a flow change curve of each day in a certain time period;
step 2), generating a training sample set based on the flow change curve obtained in the step 1) every day in a certain time period by combining a method based on standard orthogonal basis decomposition; the input feature set of the training sample set comprises orthogonal basis decomposition coefficients of a plurality of days before the day to be predicted, and the output target set comprises the orthogonal basis decomposition coefficients of the day to be predicted;
step 3), training an SVM model by using the training sample set obtained in the step 2) for the decomposition coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function;
step 4), carrying out orthogonal basis decomposition coefficient prediction by using the SVM regression prediction function obtained in the step 3);
step 5), predicting a flow dynamic change curve of the interest point by using the orthogonal basis decomposition coefficient obtained by prediction in the step 4);
the step 2) further comprises the following steps:
step 2-1), expanding the daily flow rate change curve of the historical data obtained in the step 1) by adopting a method based on standard orthogonal basis decomposition to obtain an orthogonal basis decomposition coefficient β of the daily flow rate curveik
The standard orthogonal base adopts a normalized trigonometric function set, the number of the selected standard orthogonal base is L, and the standard orthogonal base is in the form of:
Figure FDA0002478657950000011
the coefficients after expansion are:
Figure FDA0002478657950000012
wherein: vijThe statistics result at a certain time point, i represents the number of days, j represents the j statistic of the ith day, and j is 1,2, … and N;
Figure FDA0002478657950000013
the value of the k-th basis function of phi (x) at point j βikThe expansion coefficient of the flow change curve of the ith day on the kth basis function is shown; 1,2,3, …, k 1,2,3, …, L;
step 2-2), generating a training sample set, comprising: taking the coefficients of the former Z days under a certain orthogonal base as input to form an input sample xm={β1,k2,k,…,βZ,kWhere M is 1,2, …, and M is the total number of training samples; the decomposition coefficient at the orthogonal basis at the Z +1 th day is taken as an output, ym={βZ+1,k};
For M training samples, the training sample set is formed as follows:
an input feature set: x ═ X1,x2,…,xM];
Outputting a target set: f ═ y1,y2,…,yM];
The step 3) further comprises the following steps:
step 3-1), solving an optimization problem by utilizing a quadratic programming algorithm:
Figure FDA0002478657950000021
s.t.
Figure FDA0002478657950000022
wherein, for a given parameter value, αi *、αiParameters found for training, yiFor the target output value of the training set, K (x)i,xj) Is a radial basis function kernel of the form:
Figure FDA0002478657950000023
xiis the input characteristic vector, gamma is the width parameter of the Gaussian kernel function;
step 3-2), after training is finished, establishing an SVM regression prediction function as follows:
Figure FDA0002478657950000024
where b is the trained threshold, αi *、αiParameters found for training; x is a given sample feature vector to be predicted;
Figure FDA0002478657950000025
is a predicted value for x;
the step 4) further comprises the following steps:
using the decomposition coefficient of the dynamic flow change curve of Z days before the ith day under the standard orthogonal basis as an input feature vector, and utilizing the SVM regression prediction function established under each orthogonal basis
Figure FDA0002478657950000026
Predicting coefficients under orthogonal bases of the i-th day in the future, and recording prediction results of all the coefficients as:
Figure FDA0002478657950000027
the step 5) further comprises the following steps:
step 5-1), predicting the flow value of each time point in the ith day by using the following formula in combination with the orthogonal basis function decomposition coefficient obtained by prediction in the step 4);
Figure FDA0002478657950000031
in the above formula VijFlow values representing the ith time point on day i;
and 5-2) connecting the prediction results of different time points in the day to form a flow dynamic change prediction curve of the day.
2. A system for predicting a point of interest flow dynamics curve, comprising:
the time-sharing statistic module extracts the flow information of the interest points from the historical database, and carries out time-sharing statistics on the flow information of the interest points in one day to obtain a flow change curve of each day in a certain time period;
the training sample set generating module is used for generating a training sample set by combining a method based on standard orthogonal basis decomposition based on a flow change curve obtained by the time-sharing statistic module every day in a certain time period; the input feature set of the training sample set comprises orthogonal basis decomposition coefficients of a plurality of days before the day to be predicted, and the output target set comprises the orthogonal basis decomposition coefficients of the day to be predicted;
the method specifically comprises the following steps:
step 2-1), expanding the daily flow change curve of the historical data obtained by the time division statistical module by adopting a method based on standard orthogonal basis decomposition to obtain an orthogonal basis decomposition coefficient β of the daily flow curveik
The standard orthogonal base adopts a normalized trigonometric function set, the number of the selected standard orthogonal base is L, and the standard orthogonal base is in the form of:
Figure FDA0002478657950000032
the coefficients after expansion are:
Figure FDA0002478657950000033
wherein: vijThe statistics result at a certain time point, i represents the number of days, j represents the j statistic of the ith day, and j is 1,2, … and N;
Figure FDA0002478657950000034
the value of the k-th basis function of phi (x) at point j βikThe expansion coefficient of the flow change curve of the ith day on the kth basis function is shown; 1,2,3, …, k 1,2,3, …, L;
step 2-2), generating a training sample set, comprising: taking the coefficients of the first Z days of the ith day under a certain orthogonal basis as input to form an input sample xm={βi-Z,ki-Z+1,k,…,βi-1,kWhere M is 1,2, …, and M is the total number of training samples; decomposition at day i under this orthogonal basisCoefficient being output ym={βi,k};
For M training samples, the training sample set is formed as follows:
an input feature set: x ═ X1,x2,…,xM];
Outputting a target set: f ═ y1,y2,…,yM];
An SVM regression prediction module, which trains an SVM model by using the training sample set obtained by the training sample set generation module for the decomposition coefficient under each orthogonal basis to obtain a corresponding SVM regression prediction function; the method specifically comprises the following steps:
step 3-1), solving an optimization problem by utilizing a quadratic programming algorithm:
Figure FDA0002478657950000041
s.t.
Figure FDA0002478657950000042
wherein, for a given parameter value, αi *、αiParameters found for training, yiFor the target output value of the training set, K (x)i,xj) Is a radial basis function kernel of the form:
Figure FDA0002478657950000043
xiis the input characteristic vector, gamma is the width parameter of the Gaussian kernel function;
step 3-2), after training is finished, establishing an SVM regression prediction function as follows:
Figure FDA0002478657950000044
where b is the trained threshold, αi *、αiParameters derived for training(ii) a x is a given sample feature vector to be predicted;
Figure FDA0002478657950000045
is a predicted value for x;
an orthogonal basis decomposition coefficient prediction module which performs orthogonal basis decomposition coefficient prediction by using an SVM regression prediction function obtained by the SVM regression prediction module; the method specifically comprises the following steps:
using the decomposition coefficient of the dynamic flow change curve of Z days before the ith day under the standard orthogonal basis as an input feature vector, and utilizing the SVM regression prediction function established under each orthogonal basis
Figure FDA0002478657950000051
And predicting coefficients under the orthogonal basis of the day i, and recording the prediction results of all the coefficients as:
Figure FDA0002478657950000052
the interest point flow dynamic change curve generation module predicts an interest point flow dynamic change curve by using the orthogonal base decomposition coefficient obtained by the orthogonal base decomposition coefficient prediction module; the method specifically comprises the following steps:
predicting the flow value of each time point in the ith day by using the following formula in combination with the orthogonal basis function decomposition coefficient obtained by prediction;
Figure FDA0002478657950000053
in the above formula VijFlow values representing the ith time point on day i;
and 5-2) connecting the prediction results of different time points in the day to form a flow dynamic change prediction curve of the day.
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