19 results about "Augmented matrix" patented technology

The invention provides a TOF (Time of Flight) estimation method of a matrix bundle based on partitioning and random SVD (Singular Value Decomposition). The method comprises the following steps: firstly, acquiring channel state information (CSI) by using a commercial WiFi device, and constructing a CSI matrix; and secondly, performing block overlapping processing on the CSI matrix, constructing an augmented matrix for each CSI data block, and performing SVD decomposition on the augmented matrix, thereby reducing the calculation complexity of SVD decomposition. And then, the time of flight (TOF) of each CSI data block is estimated by using a matrix pencil algorithm, and the minimum TOF is direct path estimation. According to the method designed by the invention, the robustness of the system and the estimation precision of the TOF are improved under the condition that the algorithm complexity is greatly reduced.

The present application relates to the field of artificial intelligence. Provided in the present application are a method and system for implementing a self-attention mechanism having a linear complexity, and a device and a medium. The method comprises: performing positional encoding on sequence data to be processed, and performing feature mapping to apply the positional encoding to a query matrix and a key matrix; on the basis of the query matrix and the key matrix, performing calculation to obtain a low-rank query matrix, a low-rank key matrix and a low-rank generalized inverse matrix; augmenting a value matrix to obtain an augmented matrix, and on the basis of the augmented matrix, the low-rank key matrix, the low-rank generalized inverse matrix and the low-rank query matrix, obtaining a sequence self-attention matrix; and transposing the sequence self-attention matrix, using the transposed matrix as sequence data to repeat the foregoing steps, using the newly obtained sequence self-attention matrix as a feature self-attention matrix, and on the basis of the sequence self-attention matrix and the feature self-attention matrix, obtaining a self-attention matrix having a linear complexity. The present application implements linear self-attention, better maintains the model performance and has relatively good expansibility.

The application discloses an intelligent manufacturing collaborative decision-making method based on digital twinning, which comprises the following steps: establishing a global digital twinning model and a local digital twinning model according to the process of intelligent manufacturing; collecting production data in the intelligent manufacturing process in real time, determining a regulation and control index data set under a sampling number, constructing a time series augmented matrix, constructing a dynamic weight matrix by using a Pearson correlation coefficient, adjusting the time series augmented matrix into a weighted time series augmented matrix, performing singular value decomposition, introducing production process constraints to modify the singular value matrix, and reducing the dimension of the weighted time series augmented matrix by using the rank of the modified singular value matrix; standardizing the reduced weighted time series augmented matrix, dividing the standardized matrix by using a dynamic sliding window, inputting the matrix into a double-branch attention network in sequence, combining a current actual production decision scheme, and predicting a production decision scheme. The application improves the response speed of intelligent manufacturing through collaborative local self-collaboration and global scheduling.

The application relates to a real-valued super-resolution direction estimation method of a high-order acoustic field sensor array, which uses a received signal covariance matrix to approximately calculate an estimated value of noise power, avoids the iterative operation process of noise power in the prior art, improves the calculation efficiency, and reduces the floating-point operation amount. By constructing an augmented matrix, the array receiving data matrix and the array manifold matrix with a multi-dimensional structure of an element are made into Hermitian matrices, so that the unitary transformation processing of the related parameters of the high-order acoustic field sensor array is realized. On the basis of obtaining the array receiving data matrix and the array manifold matrix in the real number domain, the array receiving data matrix and the array manifold matrix are applied to a sparse approximate minimum variance method with a variable exponential factor, and the completely real-valued sparse approximate minimum variance direction estimation with a variable exponential factor is realized.

The application discloses a sequence construction method and system. The method constructs a switching matrix based on the number of various types of elements in the sequence, establishes a unified constraint system, and obtains a numerical solution of the switching matrix through optimization. Based on the numerical solution, a graph structure is constructed and connectivity is determined to determine whether a complete sequence can be formed; when the connectivity is satisfied, a target sequence that meets the switching relationship and quantity requirements is generated based on the graph structure. The method supports segment-level structure expression, modeling of the head-tail relationship of the augmented matrix, and sub-sequence combination expression, and is suitable for multiple sequence construction tasks. Accordingly, the application also provides a sequence construction system, which includes a matrix modeling module, a constraint construction module, a solving module, a connectivity determination module, and a sequence generation module.

Embodiments of the invention disclose a constraint equation determination method and apparatus, a medium, a device and a product. The method comprises the steps of obtaining a constraint equation of an augmented matrix group; the constraint equation is represented as follows: the sum of the first product and the second product is zero, a subordinate degree-of-freedom vector in the constraint equation is determined by an independent degree-of-freedom vector, a weight coefficient matrix, a displacement matrix and a distribution matrix, and the distribution matrix is determined by the weight coefficient matrix and the displacement matrix; and determining a target weight coefficient matrix and a target displacement matrix, and substituting the target weight coefficient matrix and the target displacement matrix into the constraint equation to obtain a target constraint equation of the augmented matrix group. According to the method, the weight coefficient matrix capable of accurately reflecting the physical coupling strength between the nodes and the displacement matrix capable of representing the real deformation state can be automatically calculated, the constraint equation is generated, the defect of insufficient calculation precision caused by simple hypothesis of the constraint relation is effectively overcome, and therefore the construction effectiveness of the constraint equation can be improved.

This invention relates to the field of pet food spectral detection technology, and discloses a pet food spectral detection device and method. The method involves sampling at equal intervals within a preset wavelength range, eliminating noise interference through dark current and standard white plate calibration; taking the natural logarithm of reflectance to balance the dynamic range; constructing a linear spline basis at equal intervals, and adaptively calculating the regularization coefficient based on the energy ratio of the signal and basis functions; constructing an augmented matrix based on the inner product of the basis functions and the signal, and solving for the spline coefficients using Gaussian elimination; reconstructing the spectrum using the coefficients and quantifying the residuals; establishing a reference model based on the mean and standard deviation of multiple qualified sample coefficients; comparing the Euclidean distance between the coefficients of the sample to be tested and the model mean with a threshold, and generating residuals, distances, thresholds, and a judgment report; the entire process requires no empirical parameters or manual tuning, enabling batch online adaptive detection, achieving rapid and accurate detection with noise correction, feature enhancement, overfitting suppression, and traceability.

The invention discloses a photovoltaic scene generation method and system based on random matrix theory enhancement, and the method comprises the steps: constructing a training sample set based on historical data, and constructing a generative adversarial network framework comprising a generator and a discriminator; on the basis of a random matrix theory, time sequence data of a generated photovoltaic power time sequence scene and a real photovoltaic power time sequence scene are constructed into an augmented matrix, spectral distribution of the augmented matrix is calculated, the spectral distribution is converted into a correlation measurement index, and the correlation measurement index serves as an additional loss item to be introduced into a loss function of a discriminator; adopting an alternate training strategy to perform joint training on the generator and the discriminator into which the correlation loss item is introduced, and optimizing a generative adversarial network framework; and inputting the random noise vector to the generator, and generating a photovoltaic power time sequence scene. Spectral distribution analysis is carried out on a generated scene and a real scene through a random matrix theory, a correlation index is used as a discriminator loss item, and the problems of insufficient interpretability, lack of correlation evaluation and the like of the generative adversarial network in photovoltaic scene generation are solved.

The invention provides a PSR-JBLND-based DOA estimation method, apparatus and device, and a medium. The method comprises the steps of constructing a sensor array receiving signal model according to a guide vector of an information source; on a preset time sequence dimension, a coordinate delay reconstruction method is adopted, a sequence in the sensor array receiving signal model is mapped in a phase space of a preset embedding dimension, and a reconstruction track matrix is obtained; obtaining the optimal time delay during phase-space reconstruction through an average mutual information method, eliminating the time delay of a reconstruction track matrix based on the optimal time delay, and then carrying out augmented matrix construction to obtain an optimized sensor array receiving signal model matrix; matrix information geometry is introduced, Jensen-Bregman LogNorm divergence is constructed, and based on the Jensen-Bregman LogNorm divergence, two Hermitian positive definite matrixes are constructed on an optimized sensor array receiving signal model matrix manifold; and obtaining a DOA estimation result based on the divergence measurement corresponding to the two Hermitian positive definite matrixes at different angles.

The invention relates to a method for calibrating a measuring device for a plurality of products, having the following steps: measuring a set of measurement values for a plurality of products and with a plurality of measurements, which includes one or more measurement variables; providing a set of reference variables, which includes at least one reference variable to be determined by the measurement variables, compiling the measurement values for all products into an augmented matrix, determining a first set of calibration parameters with one or more weights for one or more products, compiling the one or more products within one product family, which has at least the same weight for its products, determining at least one further set of calibration parameters for sub-matrices of the augmented matrix, determining one or more sets with further weights within and outside the first product family, and compiling a plurality of products with the same weight into another product family, until all weights are determined for the calibration of the measuring device.

The application discloses a kind of d-POD and Bi-LSTM-based impeller machine transient flow field fast prediction method. Construct full-cycle flow field snapshot matrix;Through data acquisition code, the physical quantity of flow field area of interest is extracted from simulation data, Hankel augmented matrix is constructed and standardization is completed;The time series augmented original matrix constructed is decomposed by d-POD, and the spatial mode matrix, time coefficient matrix and mode energy matrix are obtained;Bi-LSTM model is trained;The historical time series time coefficient of the predicted working condition is outputed by the model to predict the time coefficient sequence of future time;The physical quantity data reconstructed is matched and bound with the node coordinates and topological structure information of the original flow field grid one by one, to supplement the complete grid information for the restored physical quantity, according to the CFD post-processing standard format.dat File is generated, and the visualization output and subsequent engineering application of predicted flow field are completed.The present application is used to solve the core dilemma that precision and cost are difficult to consider in the prior art.

The invention relates to the technical field of wind power prediction, and discloses a physical feature enhanced SBLS-based wind power prediction method and system. The method comprises the steps of obtaining operation data of a wind turbine generator SCADA system, regarding a constructed wind speed-power dynamic characteristic curve and a decision interval as power dynamic curve knowledge, mapping the power dynamic curve knowledge into physical constraint layer nodes parallel to characteristic mapping layer nodes, and constructing an SBLS network topology containing a physical constraint layer; training the embedded SBLS prediction model containing the physical constraint layer by using a training set, outputting and combining the feature mapping layer, the enhanced mapping layer and the physical constraint layer, and constructing an augmented matrix; analyzing and solving an output weight by using a pseudo-inverse algorithm; and applying the trained SBLS prediction model containing the physical constraint layer to a test set for wind power prediction. According to the method, physical knowledge is explicitly embedded by changing a network topology structure, so that the problem of poor physical interpretability of a standard SBLS is effectively solved, and the training speed is remarkably superior to that of a deep neural network.

The application provides a query request processing method and device, the method comprises the following steps: receiving a query request sent by a user; if it is determined that global total quantity privacy protection is set and no subdivided total quantity privacy protection is set, obtaining a first historical query result recorded for the user and a current query result corresponding to the query request; wherein the first historical query result is a query result recorded based on global total quantity privacy protection; generating a first combined query matrix based on the query vectors of the first historical query result and the current query result; obtaining a first augmented matrix by adding an augmented column of all 1s based on the first combined query matrix; determining whether the first augmented matrix is full rank, if yes, responding the current query result to the user; otherwise, responding the current query result to the user after desensitization processing. The method can improve the usability of the response data while ensuring data security.

The invention relates to the technical field of large-scale multiple-input-multiple-output, and provides a signal processing method and device, electronic equipment, a medium and a product, and the method comprises the steps: determining a Gramer matrix of a channel matrix according to the channel matrix of a multiple-input-multiple-output (MIMO) system and the conjugate transpose of the channel matrix; decomposing an augmented matrix determined according to the conjugate transpose of the channel matrix and the Gramer matrix to obtain a decomposed augmented matrix, and eliminating the Gramer matrix in the decomposed augmented matrix into an upper triangular matrix, a lower triangular matrix corresponding to the upper triangular matrix is determined according to elimination factors recorded in the elimination process; and back substitution calculation is carried out on the decomposed augmented matrix to obtain a weighting matrix, and the weighting matrix is used for carrying out zero-forcing detection on the received signal. The adaptability of the real-time signal detection method is improved, and the problem that an existing method is difficult to deal with changeable service scenes is effectively solved.

The application relates to the technical field of large-scale multiple-input multiple-output, and provides a signal processing method and device, electronic equipment, a medium and a product.The method comprises the following steps: determining a Gram matrix of a channel matrix of a multiple-input multiple-output (MIMO) system according to the channel matrix and a conjugate transpose of the channel matrix; decomposing an augmented matrix determined according to the conjugate transpose of the channel matrix and the Gram matrix to obtain a decomposed augmented matrix, wherein the Gram matrix is eliminated as an upper triangular matrix in the decomposed augmented matrix, and a lower triangular matrix corresponding to the upper triangular matrix is determined according to an elimination factor recorded in an elimination process; and performing back substitution calculation on the decomposed augmented matrix to obtain a weighting matrix, wherein the weighting matrix is used for zero-forcing detection of a received signal.The adaptability of a real-time signal detection method is improved, and the problem that an existing method is difficult to cope with various service scenarios is effectively solved.

The invention discloses a misalignment confirmation method based on fusion of a guide rail meter and multi-source metering data, and the method comprises the following steps: periodically collecting the forward active electric energy data of each user electric energy meter in a metering box through a guide rail electric energy meter, and transmitting a broadcast freezing instruction to all user meters before collection, so as to achieve the synchronization of a data clock; constructing an electric energy conservation equation; accumulating N periodic data to form N equations, constructing an augmented matrix, and solving an error value through a Gaussian elimination method; and calculating the actual relative error of the user table according to a relative error conversion formula by using the error value, and if the actual relative error exceeds a threshold value, determining that the user table is misaligned. According to the method, a micro closed loop is established based on the direct relation between a guide rail meter and a user side single-phase meter, a high-precision and low-dependence metering misalignment recognition mechanism can be realized by comparing the data difference of total-branch meters and eliminating line loss interference, and the method has higher practicability and popularization value.

This invention proposes an FTM-corrected non-line-of-sight ranging method based on matrix-bundled CSI multipath parameter estimation. First, Channel State Information (CSI) data from WiFi devices is collected, an augmented matrix is ​​constructed, and singular value decomposition is performed to obtain a left singular matrix and singular value vectors. Second, the average power of the CSI is calculated and transformed to the logarithmic domain to determine the maximum number of candidate paths. Based on the singular value vectors, a Minimum Description Length (MDL) criterion is constructed to adaptively estimate the number of effective paths. Then, the propagation delay of each path is obtained using the matrix-bundled algorithm, a Vandermonde matrix is ​​constructed, and the received power of each path is estimated using the least squares method. Finally, the power ratio of the direct path is calculated as a reliability factor. If it is below a threshold, the second strongest path is selected from the reflection paths with power greater than the direct path. If there is only one such path, it is selected. The average delay difference between the reflection path and the direct path is calculated using power weighting, and this delay difference is used to compensate for the FTM receiving timestamp to obtain the corrected ranging distance. This invention does not require a preset number of paths, is highly adaptive, and significantly improves the accuracy of FTM ranging in non-line-of-sight environments.

The invention provides a random simple complex network containment synchronization analysis method based on spectral moments, and relates to the technical field of control and information. The method comprises the following steps: firstly, deriving an analytical expression of first three-order expected spectral moments of an augmented Laplacian matrix, and representing the analytical expression as a function of high-order network local structure properties, so as to establish a quantitative corresponding relation between the expected spectral moments and the network local structure; and then, based on the obtained expected spectral moment set, proposing a piecewise linear reconstruction strategy, performing triangular approximation on feature root distribution of the augmented Laplacian matrix, further estimating a minimum feature root and a maximum feature root, and accordingly realizing pinning synchronization judgment and performance prediction of the random simple complex network. Finally, numerical simulation is carried out by taking a random simple complex network formed by a Lorenz system as an example, and the accuracy and effectiveness of the method are verified.

The invention particularly relates to a real-valued super-resolution azimuth estimation method for a high-order sound field sensor array, which approximately calculates an estimated value of noise power by using a received signal covariance matrix, avoids the process of iterative operation of the noise power in the existing method, improves the calculation efficiency and reduces the floating point calculation amount. By constructing an augmented matrix, an array receiving data matrix and an array manifold matrix of which array elements have a multi-dimensional structure become a Hermitian matrix, so that unitary transformation processing of related parameters of a high-order sound field sensor array is realized. On the basis of obtaining an array receiving signal data matrix and an array manifold matrix of a real number field, the array receiving signal data matrix and the array manifold matrix are applied to a sparse approximate minimum variance method of a variable exponential factor, and completely real-valued variable exponential factor sparse approximate minimum variance orientation estimation is realized.