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20 results about "Computational mathematics" patented technology
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Computational mathematics may refer to two different aspects of the relation between computing and mathematics. Computational applied mathematics consists roughly of using mathematics for allowing and improving computer computation in applied mathematics. Computational mathematics may also refer to the use of computers for mathematics itself. This includes the use of computers for mathematical computations (computer algebra), the study of what can (and cannot) be computerized in mathematics (effective methods), which computations may be done with present technology (complexity theory), and which proofs can be done on computers (proof assistants).
Mathematical teaching knowledge graph generation method and system based on artificial intelligence
The invention relates to the technical field of artificial intelligence and intelligent education, and provides a mathematical teaching knowledge graph generation method and system based on artificial intelligence, which are used for optimizing and improving a teaching knowledge graph generation technology to realize more intelligent and accurate teaching knowledge graph generation, and the method comprises the following steps: obtaining a multi-source teaching data set; extracting a mathematical knowledge point entity set from the textbook text data, and generating an association relationship set among mathematical knowledge point entities in the mathematical knowledge point entity set according to the test question structure data; performing hierarchical classification processing on the mathematical knowledge point entity set based on a preset semantic analysis model to obtain knowledge point hierarchical structure data, and calculating weight distribution data of the mathematical knowledge point entities based on the association relationship set; and generating a dynamic knowledge graph topological structure according to the knowledge point hierarchical structure data and the weight distribution data, wherein nodes in the dynamic knowledge graph topological structure comprise semantic vectors and association strength parameters of mathematical knowledge point entities.
Owner:BEIJING BOZHONG HUIZHI TECH CO LTD
Large language model reasoning error correction method and device, equipment and medium
PendingCN120197703ADigital data information retrievalNatural language data processingLinguistic modelTheoretical computer science
The invention discloses a large language model reasoning error correction method and device, equipment and a medium, and relates to the technical field of artificial intelligence, and the method comprises the steps: carrying out the syntactic analysis of an initial to-be-calculated mathematical problem, so as to obtain corresponding text feature information, and carrying out the format conversion of the initial to-be-calculated mathematical problem, so as to obtain a target problem; constructing a corresponding target reasoning chain based on the text feature information and the target problem; detecting each target reasoning step in the target reasoning chain to obtain a reasoning error; and determining a target reasoning step corresponding to the reasoning error from the target reasoning chain, and adjusting the target reasoning step to correct the reasoning error of the preset large language model. According to the method, the inference chain is constructed, and wrong steps in the model inference process are accurately positioned, so that the wrong inference steps can be corrected, and the reliability of a calculation result output by the model is ensured.
Owner:SHANDONG INSPUR SCI RES INST CO LTD
Flow field chromatography reconstruction method, system and equipment, storage medium and program product
ActiveCN120217735ADesign optimisation/simulationConstraint-based CADOptical tomographyMathematical model
The invention relates to the technical field of optical tomography, and provides a flow field tomography reconstruction method, system and device, a storage medium and a program product, and the method comprises the steps: building a double-line joint solving equation, and combining the two-line joint solving equation into a single optimization equation; introducing a mixed regularization constraint into a single optimization equation, and establishing a mixed regularization double-line joint solution calculation mathematical model; based on a mixed regularization double-line joint solution calculation mathematical model, setting an absorption coefficient non-negative criterion, and introducing temperature prior information of a flow field to obtain a mixed regularization solution mathematical model with temperature limit prior constraints; and solving the mixed regularization solving mathematical model with the temperature limit priori constraint to obtain an absorption coefficient, and calculating the temperature distribution of the flow field by using the absorption coefficient. By means of the method, regularization constraint can be carried out on the flow field temperature reconstruction result, meanwhile, strong constraint is carried out on calculation solution by introducing multiple kinds of physical prior information, and the flow field chromatography reconstruction precision is remarkably improved.
Owner:HEFEI INSTITUTE OF PHYSICAL SCIENCE CHINESE ACADEMY OF SCIENCES +1
Winter construction reinforced concrete electromagnetic curing method and system based on layered progressive mathematical control architecture
PendingCN121934431AProgramme control in sequence/logic controllersModel parametersGlobal optimization
The embodiment of the invention provides a winter construction reinforced concrete electromagnetic curing method and system based on a layered progressive mathematical control framework, and belongs to the technical field of crossing of intelligent construction, advanced process control and computational mathematics. The method comprises the following steps: acquiring temperature, hydration degree and environmental parameters in real time, performing space-time fusion with electromagnetic heating input, constructing a maintenance state feature vector, establishing a parameterized grey box prediction model based on a multi-physics coupling mechanism, and realizing online joint estimation of state and model parameters by combining Bayesian inference and unscented Kalman filtering. On this basis, distributed robust model predictive control is introduced, modeling is carried out on external disturbance uncertainty, an optimal heating strategy is generated, finally, execution of all heating subareas is coordinated through a distributed cooperative control algorithm, global optimization of the maintenance process is achieved, the temperature difference risk in winter construction is effectively reduced, and the maintenance efficiency is improved. The maintenance energy efficiency and the system operation stability are improved.
Owner:HEBEI UNIV OF TECH +1
Ocean multi-dimensional mixing process global analysis optimization method
The invention relates to the crossing field of marine geochemistry and computational mathematics, in particular to an optimization method for global analysis of a marine multi-dimensional mixing process, which comprises the following steps: S1, data acquisition; s2, carrying out data initialization processing; s3, calculating data; s4, analyzing a result; s5, outputting data; through collaborative design of multi-stage step length optimization and parallel computing architecture, the key problem that calculation efficiency and precision of a traditional OMPA model in a high-dimensional parameter space are difficult to consider at the same time is effectively solved. The core technology breakthrough is embodied in three aspects: firstly, a three-stage step optimization mechanism (0.05-0.01-0.001) with an adaptive characteristic is developed, and the calculation complexity is greatly reduced on the premise of ensuring a global optimal solution; secondly, a parallel computing framework based on MATLAB parFor is constructed, so that the computing efficiency of the 3-6-dimensional end member hybrid model is improved by an order of magnitude; and finally, a standardized data processing flow (z-score method) is matched with a modular architecture design, so that the expandability and applicability of the system are enhanced.
Owner:SECOND INST OF OCEANOGRAPHY MNR
Mathematical enlightenment number-sense abacus
PCT designated stageWO2026000468A1ToysElectrical appliancesStructural engineeringComputational mathematics
Owner:FAN ANAN
A path analysis and planning system for a tracking robot based on computational mathematics
ActiveCN120821278BVehicle position/course/altitude controlPosition/direction controlPathPingEngineering
The application relates to the technical field of path planning, and discloses a path analysis and planning system of a tracing robot based on computational mathematics; an image splicing module is used for aligning and splicing sub-images into regional images; a matrix node mode is used for converting the regional images into matrix nodes based on a grid distinguishing criterion; a path planning module is used for planning a target path in the matrix nodes; a mode selection module is used for selecting a planning control mode according to a tracing state; and a planning control module is used for controlling a terminal to control the tracing robot to maintain current movement, adjust leftward or rightward, and re-plan a path. The application can discover abnormal obstacle phenomena in the first time when the tracing robot is affected or hindered by an obstacle object, and can control the tracing robot to perform targeted obstacle avoidance movement according to the severity of the influence and hindering of the actual obstacle object, so that the dynamic situation of the tracing robot during movement towards a destination can be dynamically detected in real time.
Owner:CHAOHU UNIV
A multimodal data processing method
The present invention relates to the technical field of data processing methods, and more particularly to a multimodal data processing method, comprising the following steps: S1: a data collection module receives and processes relevant data, obtains information on math scores and physics scores, and transmits the information to a control module; S2: the control module calculates a collated math score based on the math score, calculates a collated physics score based on the physics score, calculates a correlation factor between the math score and the physics score, obtains correlation information between the math score and the physics score based on the correlation factor, and transmits the information to a communication module; S3: the communication module transmits the correlation information between the math score and the physics score to a user end. The control module can quickly determine whether two sets of data are correlated, thereby accelerating model training.
Owner:GLOBAL DIGITAL SOFTWARE CO LTD
Flow field tomography reconstruction method, system, device, storage medium and program product
ActiveCN120217735BDesign optimisation/simulationConstraint-based CADOptical tomographyMathematical model
The present invention relates to the field of optical tomography technology and provides a flow field tomography reconstruction method, system, device, storage medium and program product. The method comprises: establishing a dual-line joint solution equation and merging it into a single optimization equation; introducing a hybrid regularization constraint into the single optimization equation to establish a hybrid regularized dual-line joint solution calculation mathematical model; based on the hybrid regularized dual-line joint solution calculation mathematical model, setting a non-negative criterion for the absorption coefficient, introducing temperature prior information of the flow field, and obtaining a hybrid regularized solution mathematical model with a temperature limit prior constraint; solving the hybrid regularized solution mathematical model with a temperature limit prior constraint to obtain the absorption coefficient, and using the absorption coefficient to calculate the temperature distribution of the flow field. Utilizing the method of the present invention, regularization constraints can be implemented on the flow field temperature reconstruction results, and at the same time, strong constraints are imposed on the calculation solution by introducing multiple physical prior information, thereby significantly improving the accuracy of flow field tomography reconstruction.
Owner:HEFEI INSTITUTE OF PHYSICAL SCIENCE CHINESE ACADEMY OF SCIENCES +1
A multi-resource collaborative intelligent workshop equipment configuration optimization method
ActiveCN115034143BArtificial lifeDesign optimisation/simulationConfiguration optimizationComputational mathematics
The present invention discloses a multi-resource collaborative intelligent workshop equipment configuration optimization method and system, specifically including: S1, constructing a simulation system that simulates the actual production environment; S2, establishing a mathematical model for optimizing equipment configuration and setting performance index constraint parameter conditions; S3, using the gray wolf optimization algorithm to calculate the mathematical model, using the simulation system in the gray wolf optimization algorithm to obtain performance indicators, updating the population and position of the gray wolf optimization algorithm according to the performance indicators, and obtaining the iterated gray wolf optimization algorithm after a set number of iterations; S4, obtaining the optimized equipment configuration according to the solution of the iterated gray wolf optimization algorithm. Compared with the traditional technology, this method uses the gray wolf optimization algorithm to solve the mathematical model, uses the simulation system to solve the fitness value and updates the iterative gray wolf optimization algorithm, and realizes the minimization of the investment cost of workshop equipment under the premise of meeting the maximum production cycle and the constraints of the order delivery time and the minimum system output rate.
Owner:GUANGDONG UNIV OF TECH
Device and method of computing an output value of a mathematical function, and method of designing an integrated circuit for the same
ActiveUS12536248B1CAD circuit designComplex mathematical operationsLookup tableComputational mathematics
An integrated circuit (IC) for computing an output value Y1 of a mathematical function, for a given input value X1, defined over an approximation interval I1, may include: (i) a look-up table (LUT) circuit with multiple entries, each corresponding to a segment of I1, (ii) a polynomial computation circuit configured to calculate a polynomial estimation of the function in a reference segment, and (iii) a processor. The processor may obtain a query for computing Y1 and select a segment based on X1. It may retrieve a preliminary approximation of Y1 from the LUT and calculate an offset of X1 within the selected segment. The processor may employ the polynomial computation circuit to calculate a polynomial estimation on the offset value, thereby obtaining a correction value. The processor may proceed to compute Y1 based on the preliminary approximation and the correction value.
Owner:NEXTSILICON LTD
ARRAY PROCESSING UNIT ARRAY PLACEMENT AND ROUTING
PendingDE112023004275T5Dataflow computersResource allocationProcessing elementComputational mathematics
A method for automatic placement and routing of processing elements (PEs), wherein each PE has limited connectivity to its neighbors. The method may receive information about the position of placement primitives (PPs), wherein the location window information defines possible positions of a group of PPs within a coarse-grained reconfigurable architecture (CGRA). The method may receive hardware constraints related to the array of PEs, wherein the hardware constraints include local connectivity constraints and remote connectivity constraints. The method may receive a computation graph (CG) representing mathematical expressions to be computed by the array of PEs. The method may determine a location of the PEs of the array of PEs based on the CG, the PP location window information, and the hardware constraints.
Owner:MOBILEYE VISION TECH LTD
Multi-modal data processing method
ActiveCN119622207Aeasy to operateIncrease training speedInference methodsData miningComputational mathematics
The invention relates to the technical field of data processing methods, in particular to a multi-modal data processing method which comprises the following steps: S1, a data collection module receives and processes related data, obtains information of mathematical scores and physical scores and transmits the information to a control module; s2, the control module calculates sorted mathematical scores according to the mathematical scores, calculates sorted physical scores according to the physical scores, calculates correlation factors of the mathematical scores and the physical scores, obtains correlation information of the mathematical scores and the physical scores according to the correlation factors of the mathematical scores and the physical scores, and transmits the correlation information to a communication module; and S3, the communication module transmits the relevance information of the mathematical score and the physical score to a user side. Whether two groups of data have relevance or not can be quickly obtained through the control module, and the model training speed is increased.
Owner:GLOBAL DIGITAL SOFTWARE CO LTD
Short-circuit calculation method for 100% converter type power supply distribution network based on double-layer iteration
ActiveCN120453970BEmergency protective arrangement detailsEmergency protective arrangements for automatic disconnectionMathematical modelSupply & distribution
The application discloses a 100% converter type power supply distribution network short-circuit calculation method based on double-layer iteration, and belongs to the technical field of relay protection, and comprises the following steps: S1, constructing a 100% converter type power supply distribution network short-circuit calculation mathematical model; S2, defining a double-layer iteration short-circuit calculation method based on outer-layer voltage approximation inner-layer spectral gradient iteration; S3, performing specific implementation of the spectral gradient inner-layer iteration algorithm according to the defined double-layer iteration short-circuit calculation method; and S4, proving global convergence of the spectral gradient inner-layer iteration algorithm. The 100% converter type power supply distribution network short-circuit calculation method based on double-layer iteration can solve the problem that the convergence of the traditional iteration algorithm is easily affected by the capacity of the converter type power supply and the fault working condition, can meet the needs of the 100% converter type power supply distribution network fault steady-state short-circuit calculation, and can accurately depict the short-circuit current level and distribution characteristics of the whole network.
Owner:TIANJIN UNIV
A method and system for solving partial differential equations based on physical information neural networks
PendingCN122132667ANeural learning methodsComplex mathematical operationsTheoretical computer sciencePartial differential equation
This invention belongs to the interdisciplinary field of artificial intelligence and computational mathematics, and relates to a method for solving partial differential equations based on a physical information neural network. The method includes: performing coordinate separation sampling on the partial differential equation to obtain a set of sampling points; training the neural network from the previous stage based on the set of sampling points to obtain an approximate solution and a preliminary neural network for the current stage; calculating the residual field and spatial gradient after substituting the predicted solution from the previous stage into the partial differential equation, and constructing a gating function based on the residual field and spatial gradient; updating the solution momentum and solution variance from the previous stage based on the approximate solution for the current stage to obtain the corrected solution momentum and solution variance for the current stage; calculating the predicted solution for the current stage based on the predicted solution from the previous stage and the gating function, solution momentum, and solution variance for the current stage; and calculating the loss function value to update the preliminary neural network for the current stage until the final predicted solution is obtained. The spatiotemporal dual-dimensional adaptive multi-stage training strategy of this invention significantly improves the solution accuracy.
Owner:CHONGQING UNIV OF POSTS & TELECOMM
Partial differential equation inverse problem solving method under sparse data
PendingCN120086479ABiological modelsComplex mathematical operationsObservation dataPartial differential equation
The invention provides a partial differential equation inverse problem solving method under sparse data, which relates to the technical field of computational mathematics and artificial intelligence, and processes a partial differential equation and an initial condition equation of an actual industrial process based on a deep neural network by compensating data of a data point set and a plurality of observation data points to obtain a partial differential equation inverse problem. The final loss is calculated by adopting a plurality of loss modes, and unknown parameters in the partial differential equation and the initial condition equation are solved by adopting a multi-iteration mode, so that high-precision parameter identification can still be realized under the condition of fewer observation data points, and even if noise interference exists in the observation data, the parameter identification accuracy is greatly improved. The method is also suitable for various partial differential equation models, especially for complex physical scenes and multi-scale problems, and the stability and efficiency of the model are improved through strategies such as dynamic weight adjustment, solution domain internal sampling point compensation and progressive freezing parameters.
Owner:NORTHEASTERN UNIV CHINA
Evaluation method for spacing and binding rate of steel bar mesh based on node space analysis
The present application can recognize the pixel coordinates and the binding state information of the steel bar net nodes based on the machine vision method. The present application proposes a "cross intersection" node space analysis method based on pattern recognition and a growing clustering numbering algorithm for the steel bar net nodes, and establishes a mathematical model for calculating the uniformity of the steel bar net spacing and the binding rate. The present application can identify the unqualified nodes in the steel bar net, calculate the binding rate of the steel bar net, generate the optimal binding scheme for the unqualified nodes, and visually output the quantitative evaluation results of the uniformity of the steel bar net spacing. The present application only uses the node information of the steel bar net, has a simplified algorithm, fast running speed, accurate recognition effect and stable evaluation results. The application of the present application will greatly improve the construction acceptance efficiency of the steel reinforced concrete warehouse, standardize the work flow of the acceptance, and improve the informatization and intelligentization in the field of civil construction engineering.
Owner:WUHAN UNIV
Random feature-based meshless device structure optimization method and equipment
PendingCN120724754ADesign optimisation/simulationConstraint-based CADComputational sciencePoint density
The invention provides a meshless device structure optimization method and equipment based on random features, which can be applied to the technical field of computational mathematics and topological optimization. The method comprises the following steps: performing iterative structure optimization on a device by utilizing a displacement field network and a density field network to obtain a device structure optimization result; wherein the step of executing the primary structure optimization comprises the following steps of: adjusting parameters of a previous displacement field network by utilizing previous point density parameters of a plurality of device points of the device to obtain a current displacement field network; inputting respective point coordinates of a plurality of device points of the device into the current displacement field network to obtain respective current point displacement of the plurality of device points; performing parameter adjustment on the previous density field network according to the respective point coordinates of the plurality of device points and the current point displacement to obtain a current density field network; and inputting the respective point coordinates of the plurality of device points into the current density field network to obtain respective current point density parameters of the plurality of device points.
Owner:SUZHOU INST FOR ADVANCED STUDY USTC +2
Trailing robot path analyzing and planning system based on computational mathematics
ActiveCN120821278AVehicle position/course/altitude controlPosition/direction controlPathPingEngineering
The invention relates to the technical field of path planning, and discloses a tracing robot path analyzing and planning system based on computational mathematics. The image splicing module is used for aligning and splicing sub-images into a regional image; the matrix node mode is used for converting the regional image into matrix nodes based on a grid distinguishing criterion; the path planning module is used for planning a target path in the matrix nodes; the mode selection module is used for selecting a planning control mode according to a tracing state; the control terminal controls the tracing robot to maintain current motion, adjust leftwards or rightwards and re-plan a path; according to the invention, an abnormal obstacle phenomenon can be found at the first time when the tracing robot is affected or hindered by an obstacle object, and the tracing robot is controlled to perform targeted obstacle avoidance motion according to the severity degree of influence and hindering generated by the actual obstacle object; therefore, the dynamic condition of the tracking robot in the process of moving to the destination can be dynamically detected in real time.
Owner:CHAOHU UNIV
Read threshold estimation system using polynomial regression based calculations
A memory system and an operating method thereof are disclosed. The memory system includes a memory device and a controller. The controller determines, for each read operation, a mathematical model by using a) a function of a set of read threshold voltage among a plurality of read threshold voltages and b) a set of checksum values, determines a polynomial regression model based on the mathematical model, determines a set of parameters using a plurality of calculations between an input matrix and an output matrix based on the polynomial regression model, and estimates a next read threshold voltage for a next read operation based on the set of parameters. The controller calculates a mathematical operation algorithm to replace a normal multiplication operation, a normal division operation, and a normal multiplication-division operation.
Owner:SK HYNIX INC