CN113111302A - Information extraction method based on non-European space - Google Patents
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Abstract
The invention discloses an information extraction method based on a non-European space, which comprises the steps of mapping a graph structure input by an European space to a hyperbolic space based on a basic algorithm of the hyperbolic space; by usingAddition andmultiplying to redefine a conditional strength function of a Hawkes process in the hyperbolic space; taking the curvature c as said functionAnd (3) iteratively updating the curvature c by one parameter of the number to obtain a trained hyperbolic space model and describe the distribution of future events. The method of the invention realizes that the future event is mapped into a hyperbolic space by combining the time and type information of the past event, so as to obtain a better hierarchical structure to predict the future event, and can well express large-scale hierarchical data in the aspect of application, so that the graph information is more accurate.
Description
Technical Field
The invention relates to the technical field of computer hyperbolic space, in particular to an information extraction method based on non-European space.
Background
To better describe the hyperbolic space, the basic concept of differential geometry, an n-dimensional manifold, required by the general principles of neural networks in euclidean space is briefly described hereinIs available locallySpace of approximation: it is a generalization of the 2D concept of two-dimensional curved surfaces in higher dimensions, forCan be combined withCutting space at xIs defined asA first order linear approximation around x,leemann measurement ofIs an inner product gx:Set of (5), Riemann manifoldIs a manifold with Riemann measurement gAlthough the choice of Riemann metric g seems to define the geometry only locally, it does so by integrating between two pointsThe length of the inter shortest path (the velocity vector existing in the tangent space) yields the global distance:
wherein,and γ (0) ═ y (1) ═ y, the path of minimum length γ between two points x and y is called geodesic and can be considered as a generalization of a straight line in euclidean space, Px→y:TxM→TyM corresponds to a tangent vector moving along the geodesic line and defines a canonical method of connecting tangent spaces, exponentially mapping expxA method is provided for cutting a spaceIs projected to a point on the manifoldPoincare sphere model, exp, as considered hereinxIn the full cutting spaceThe above definition is very good.
Disclosure of Invention
This section is for the purpose of summarizing some aspects of embodiments of the invention and to briefly introduce some preferred embodiments. In this section, as well as in the abstract and the title of the invention of this application, simplifications or omissions may be made to avoid obscuring the purpose of the section, the abstract and the title, and such simplifications or omissions are not intended to limit the scope of the invention.
The present invention has been made in view of the above-mentioned conventional problems.
Therefore, the invention provides an information extraction method based on a non-European space, which can solve the problems that a better node characteristic information and European space mapping distortion cannot be obtained.
In order to solve the technical problems, the invention provides the following technical scheme: mapping a graph structure input by an Euclidean space to a hyperbolic space based on a basic algorithm of the hyperbolic space; by usingAddition andmultiplying to redefine a conditional strength function of a Hawkes process in the hyperbolic space; and taking the curvature c as a parameter of the function, and iteratively updating the curvature c to obtain a trained hyperbolic space model to describe the distribution of future events.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: the method further comprises the steps of embedding graph information of the hyperbolic space, fusing information of the hyperbolic space, embedding category characteristics of the hyperbolic space, fusing information, predicting, training and fine-tuning.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: the embedding of the graph information of the hyperbolic space comprises the steps of mapping an adjacent matrix of a user node to the hyperbolic space, and then utilizing a GCN in the hyperbolic space to aggregate the adjacent matrix information of the graph structure.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: the information fusion of the hyperbolic space comprises mapping specific time intervals and occurrence time matrixes of past events to the hyperbolic space for aggregation.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: embedding the category characteristics of the hyperbolic space comprises mapping a category matrix of all past occurrence events into the hyperbolic space.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: and the information fusion comprises the steps of inputting the adjacency matrix and the characteristic matrix into the hyperbolic space GCN, and connecting the output of the GCN with the category matrix and the time matrix which are input into the hyperbolic space for mapping.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: the prediction comprises the steps of simulating and calling an inverse method and Monte Carlo sampling, and predicting the type and time of an event which occurs in the future.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: the training comprises the steps of dividing a data set, selecting 10 events as one-time training, predicting the event time and the category of the next event, and performing training through a cross entropy loss function.
As a preferred embodiment of the non-european space-based information extraction method according to the present invention, wherein: and the fine adjustment comprises the steps of selecting different batch sizes, different cyclic neural network models and learning rates to carry out a series of fine adjustments, and finishing the optimal output.
The invention has the beneficial effects that: the method of the invention realizes that the future event is mapped into a hyperbolic space by combining the time and type information of the past event, so as to obtain a better hierarchical structure to predict the future event, and can well express large-scale hierarchical data in the aspect of application, so that the graph information is more accurate.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without inventive exercise. Wherein:
fig. 1 is a schematic diagram of a Nostradamus model of a non-euro-space-based information extraction method according to an embodiment of the present invention;
fig. 2 is a schematic flow chart of a Nostradamus model of a non-euro-space-based information extraction method according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a root mean square error of a synthetic data set according to an embodiment of the present invention;
fig. 4 is a schematic diagram of a root mean square error of a Stack Overflow data set of the information extraction method based on a non-european space according to an embodiment of the present invention;
FIG. 5 is a schematic diagram of a root mean square error of a fault data set of a self-service teller machine according to an embodiment of the invention;
fig. 6 is a schematic diagram of root mean square error of a financial transaction data set according to an embodiment of the non-european space-based information extraction method.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, specific embodiments accompanied with figures are described in detail below, and it is apparent that the described embodiments are a part of the embodiments of the present invention, not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without making creative efforts based on the embodiments of the present invention, shall fall within the protection scope of the present invention.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, but the present invention may be practiced in other ways than those specifically described and will be readily apparent to those of ordinary skill in the art without departing from the spirit of the present invention, and therefore the present invention is not limited to the specific embodiments disclosed below.
Furthermore, reference herein to "one embodiment" or "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one implementation of the invention. The appearances of the phrase "in one embodiment" in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments.
The present invention will be described in detail with reference to the drawings, wherein the cross-sectional views illustrating the structure of the device are not enlarged partially in general scale for convenience of illustration, and the drawings are only exemplary and should not be construed as limiting the scope of the present invention. In addition, the three-dimensional dimensions of length, width and depth should be included in the actual fabrication.
Meanwhile, in the description of the present invention, it should be noted that the terms "upper, lower, inner and outer" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of describing the present invention and simplifying the description, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation and operate, and thus, cannot be construed as limiting the present invention. Furthermore, the terms first, second, or third are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
The terms "mounted, connected and connected" in the present invention are to be understood broadly, unless otherwise explicitly specified or limited, for example: can be fixedly connected, detachably connected or integrally connected; they may be mechanically, electrically, or directly connected, or indirectly connected through intervening media, or may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Example 1
Referring to fig. 1 and 2, a first embodiment of the present invention provides a non-european space-based information extraction method, including:
s1: and mapping the graph structure input by the Euclidean space to the hyperbolic space based on the basic algorithm of the hyperbolic space.
S2: by usingAddition andthe multiplication redefines the conditional strength function of the Hawkes process in the hyperbolic space.
S3: and (5) taking the curvature c as a parameter of the function, and updating the curvature c in an iterative manner to obtain a trained hyperbolic space model and describe the distribution of future events.
Preferably, the embodiment defines the graph convolution neural network and the recurrent neural network in the hyperbolic space, obtains the time and space information of the event occurring in the past by using the hox process, converts the conditional strength function with similar parameter shape into a nonparametric form by using the recurrent neural network approximate hox process, and improves the effect of predicting the future event by fine tuning the parameter.
Specifically, the information extraction method based on the non-european space provided in this embodiment specifically includes the following steps:
embedding graph information of a hyperbolic space, fusing information of the hyperbolic space, embedding category characteristics of the hyperbolic space, fusing information, predicting, training and fine-tuning;
(1) embedding graph information of the hyperbolic space comprises the steps of mapping an adjacent matrix of a user node to the hyperbolic space, and then utilizing a GCN (general packet network) in the hyperbolic space to aggregate the adjacent matrix information of the graph structure;
(2) the information fusion of the hyperbolic space comprises the steps of mapping specific time intervals and occurrence time matrixes of past events to the hyperbolic space for aggregation;
(3) embedding the category characteristics of the hyperbolic space comprises mapping category matrixes of all past occurrence events into the hyperbolic space;
(4) the information fusion comprises the steps of inputting an adjacent matrix and a characteristic matrix into a hyperbolic space GCN, and connecting the output of the GCN with a category matrix and a time matrix which are mapped by the hyperbolic space;
(5) the prediction comprises the steps of simulating and calling an inverse method and Monte Carlo sampling, and predicting the type and time of an event which occurs in the future;
(6) the training comprises the steps of dividing a data set, selecting 10 events as one-time training, predicting the event time and the category of the next event, and performing training through a cross entropy loss function;
(7) the fine tuning comprises selecting different batch sizes, different cyclic neural network models and learning rates to perform a series of fine tuning to complete the optimal output.
In this embodiment, in order to obtain a good graph embedding, that is, feature information of a node, and overcome mapping distortion of an euclidean space, so as to obtain a good time and type prediction effect of an event, a poincare sphere model, a graph convolution neural network, and a GRU are adopted for prediction, so that a basic idea of information extraction based on a non-euclidean space is as follows:
mapping a graph structure input by a Euclidean space to a hyperbolic space, and adopting a method of combining the hyperbolic space and a graph convolution neural network;
in order to solve the hyperbolic space of input mapping of the Euclidean space, the aggregation formula operation of the graph convolution neural network is replaced by a basic algorithm of the hyperbolic space;
in order to define the conditional strength function of the Hawkes process in the hyperbolic space, the operation of the function is usedAddition andmultiplying to redefine the conditional strength function;
in order to make each iteration have a hyperbolic space model with a proper curvature, the curvature c is taken as a parameter of a loss function, and the curvature c is continuously updated iteratively during model training so as to solve the second challenge, so that the model can better describe the distribution of future events.
Example 2
Referring to fig. 3 to 6, a second embodiment of the present invention, which is different from the first embodiment, provides an experimental verification of a non-european space-based information extraction method, specifically including:
for the euclidean space map feature, the conventional graph convolution neural network is used for capturing the aggregate information between nodes by constructing a filter in the fourier domain, and the specific operations are as follows:
in order to learn more valuable information from the hierarchical structure diagram, the present embodiment selects a graph convolution neural network defined in a hyperbolic space to obtain the spatial dependency, and the specific implementation method is shown as the following formula.
Therefore, for the input features of the euclidean space and the output of the model, the conversion between the euclidean space features and the hyperbolic space features is realized according to the Exponential mapping (Exponential) and the logarithmic mapping (logarithmic), and the following reasoning gives a closed derivation of the Exponential mapping and the logarithmic mapping:
hyperbolic spatial curvature K given at different layers l-1 and l in a neural networkl-1,KlNonlinear activation functions using hyperbolic spaces of different curvaturesFor the nonlinear activation function in the Euclidean space, the data is mapped to the Euclidean space by using logarithmic mapping for activation, and then is mapped back to the hyperbolic space by using the exponent, and the operation is as follows.
Wherein the superscript H represents a hyperbolic space.
When a graph of a Euclidean space is obtained, two layers of hyperbolic space graph convolutional neural networks are adopted to capture the space characteristics of the graph, wherein the definition of one layer of hyperbolic space graph convolutional neural network layer is shown as the following formula:
wherein, Kl-1And KlHyperbolic space curvature, W, of the convolution layers l-1 and l, respectivelylRepresenting the weight matrix of the l-1 layer, and the output hyperbolic space characteristic H of the last layer(l+1)The next phase is input as spatial information to predict the time and type of the next event.
During the Hawkes process stage of the hyperbolic space diagram nerve, when obtaining the output information H of the hyperbolic space diagram convolutional neural network (HGCN)(l+1)And the dynamic propagation sequence in the pastThis example presents a HGNHP phase (Hyperbolic Graph Neural Hawkes Process Stage) based on a gated round-robin unit (GRU) and Poincare sphereThe following five steps are iterated to predict the type and time of occurrence of the next event.
Referring to FIG. 2, the information of the past event and the output of the previous stage include { yi-1,g,ti-1As a triplet, the first item isRead thermal coding of middle node, the second item is graph embedding learned from the first stage and represents the aggregation information of corresponding nodes in hyperbolic space, and the last item is the occurrence time t of the current eventi-1。
Hidden layer status update, as shown in FIG. 1, the right side shows details of HGNHP cell, ht-1Represents ti-1Hidden state of moment rtAnd utIs reset gate and update gate of GRU, when current input sum h is receivedt-1After the hidden state, the calculation process of the hidden layer state update is shown as the following formula:
wherein,representing an activation function, g representing node aggregation information captured by a graph convolution neural network defined in a hyperbolic space, k representing an event k embedding occurring at a current time, and t representing a time interval from a previous occurring eventW represents the weight and b represents the deviation, so the event propagation probability P (yn +1hn) and the conditional strength function approximating the Hawkes process can be calculated.
Event propagation probability given by hiDecoding the output of the hidden state to Euclidean space by exponential mapping and calculatingThe specific calculation is as follows:
wherein N is a figureThe number of the nodes of (a) is,is the deviation of the measured value,k-th is the th row of matrix V.
Referring to FIGS. 3, 4, 5, and 6, in the artificially generated dataset, the RMSE of Nostradamus was 2.84, and over all comparative methods, in the automated teller machine failure dataset, the RMSE of the most advanced method was 2.256, Nostradamus was predicting RMSE 2.82, and Nostradamus was predicting RMSE 10.05 in the Stack overflow dataset, similar to the most advanced method, constructing a graph-based dataset to verify that adding graph information may improve the performance of timestamp prediction, and these results show that Nostradamus performs better than other prior methods when applied to the artificially synthesized dataset.
It should be noted that the above-mentioned embodiments are only for illustrating the technical solutions of the present invention and not for limiting, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, which should be covered by the claims of the present invention.
Claims (9)
1. A non-Europe space based information extraction method is characterized in that: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
mapping a graph structure input by an Euclidean space to a hyperbolic space based on a basic algorithm of the hyperbolic space;
by usingAddition andmultiplying to redefine a conditional strength function of a Hawkes process in the hyperbolic space;
and taking the curvature c as a parameter of the function, and iteratively updating the curvature c to obtain a trained hyperbolic space model to describe the distribution of future events.
2. The non-european space-based information extraction method according to claim 1, wherein: the method further comprises the steps of embedding graph information of the hyperbolic space, fusing information of the hyperbolic space, embedding category characteristics of the hyperbolic space, fusing information, predicting, training and fine-tuning.
3. The non-european space-based information extraction method according to claim 2, wherein: the embedding of the graph information of the hyperbolic space comprises the steps of mapping an adjacent matrix of a user node to the hyperbolic space, and then utilizing a GCN in the hyperbolic space to aggregate the adjacent matrix information of the graph structure.
4. The non-ohmic space-based information extraction method according to claim 2 or 3, wherein: the information fusion of the hyperbolic space comprises mapping specific time intervals and occurrence time matrixes of past events to the hyperbolic space for aggregation.
5. The non-ohmic space-based information extraction method according to claim 4, wherein: embedding the category characteristics of the hyperbolic space comprises mapping a category matrix of all past occurrence events into the hyperbolic space.
6. The non-ohmic space-based information extraction method according to claim 5, wherein: and the information fusion comprises the steps of inputting the adjacency matrix and the characteristic matrix into the hyperbolic space GCN, and connecting the output of the GCN with the category matrix and the time matrix which are input into the hyperbolic space for mapping.
7. The non-ohmic space-based information extraction method of claim 6, wherein: the prediction comprises the steps of simulating and calling an inverse method and Monte Carlo sampling, and predicting the type and time of an event which occurs in the future.
8. The non-european space-based information extraction method according to claim 7, wherein: the training comprises the steps of dividing a data set, selecting 10 events as one-time training, predicting the event time and the category of the next event, and performing training through a cross entropy loss function.
9. The non-european space-based information extraction method according to claim 8, wherein: and the fine adjustment comprises the steps of selecting different batch sizes, different cyclic neural network models and learning rates to carry out a series of fine adjustments, and finishing the optimal output.
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