21 results about "Mathematical Computing" patented technology

A balance, having an indicator with clearly marked inequalities, provides feedback to a user where the user determines whether they have created an equality or inequality and whether an adjustment is necessary. Users connect mathematical statements with a correct equality or inequality symbol. The indicator provides users with a physical representation of basic math operations, including addition, subtraction, multiplication, and division, as well as fractions, negative numbers, and algebraic equations. Physical adjustments to the balance system correspond to conventional mathematic / algebraic written representation. Constant cubes include several different sets of unit weight. Other cubes or objects are labeled with colored symbols and are provided in a variety of weights and quantities. Opposite chips are labeled with negative signs; line chips are labeled with “x” and “y.” Combinations of the constant cubes, cubes or objects labeled with colored symbols, opposite chips, and line chips are arranged on removable pans on the balance to teach mathematical functions.

The application provides a debiasing calibration method based on knowledge distillation and counterfactual reasoning. The method first identifies sentiment words and high-frequency words as core confounding variables through a structural causal modeling system. Second, a double-path counterfactual reasoning mechanism is designed to extract and quantify the prediction bias introduced by the core confounding variables in the teacher model. Finally, based on the latent outcome framework, the prediction bias is eliminated from the original output of the teacher model through mathematical operations to generate unbiased calibrated soft labels to guide the training of the student model. This method reduces the expected calibration error of the model and significantly improves the robustness, fairness and cross-domain generalization ability of the stance detection system.

The invention discloses a method and device for relieving catastrophic forgetting of a language model, equipment and a storage medium, and relates to the technical field of machine learning. According to the method, linear interpolation is carried out between the pre-training model parameter set and the fine-tuning model parameter set, so that a linear interpolation point of the model can still keep a relatively low loss value when the model learns new task knowledge; then the pre-training model parameter set and the fine-tuning model parameter set are added to form a fusion model parameter set, and the linear interpolation operation only performs one-time simple arithmetical operation after fine-tuning is completed without introducing any additional trainable parameters or changing the model structure, so that when the model adapts to a new task, the model can be quickly and accurately trained. Original general knowledge and performance on old tasks can be reserved to the maximum extent, and meanwhile complexity and expenditure of a model reasoning stage are not increased.

In some embodiments, an electronic device solves mathematical equations detected in text input into applications other than a calculator application. In some embodiments, an electronic device performs unit conversions in a calculator application. In some embodiments, an electronic device presents graphs of mathematical equations. In some embodiments, an electronic device edits graphs of mathematical equations.

The invention relates to a computer-implemented method (100) for identifying the cause of a defect occurring multiple times in technical devices of a type of technical device which is preferably a vehicle battery (2) or a vehicle (3), having the following steps: detecing (101) operating data of a plurality of technical devices of the type, said operating data comprising value curves of time-resolved measurement parameters and characterizing the operating behavior and the environment of a respective technical device from a field operation, and defect-related state data of the respective technical device, the operating data of the technical devices in which the defect has occurred being marked as defective; generating (102) features by processing at least some of the operating data by means of mathematical operations and / or by selecting data regions from the operating data, each said features being correlated with different possible causes of the defect; selecting (103) features relevant to the defect from the generated features by chaining feature selection methods; and identifying (104) the cause of the defect as the intersection (1) between the different possible defect causes with which the relevant features are correlated. The method is adapted so as to carry out a measure to resolve the defect on at least one technical device of said type.

The invention discloses a cascade regulation and control operation data analysis modeling system, and the system comprises an operation data collection module which is used for collecting multi-dimensional operation data in real time; the data preprocessing module is used for carrying out noise removal and standardization processing on the acquired data; the composite weight distribution module is used for calculating the weight value of each dimension of the data; the cascade optimization engine module is used for executing a multi-level regulation and control strategy and performing nonlinear optimization calculation; the dynamic model generation module is used for integrating weighted optimization results to construct a prediction model; the feedback adjustment module is used for receiving feedback data, dynamically adjusting weights and optimizing parameters; and the analysis result output module is used for generating and outputting a model analysis report. According to the system, a collaborative gap between electronic digital data processing and mathematical operation is successfully bridged, dynamic unification of data processing is realized in mechanism through an end-to-end adaptive architecture, and the real-time performance, the adaptability, the transparency and the stability of a regulation and control model in a complex industrial scene are remarkably improved.

The application discloses a kind of based on LaTeX method for realizing formula automatic mathematical operation, storage medium and electronic equipment, method includes: preprocessing LaTeX formula and code;The set of mathematical objects in LaTeX formula and code is obtained;Determine the DOM element mathematical object that LaTeX formula can be selected, can be dragged and can be placed;Highlight prompt the DOM element mathematical object that can be placed when dragging;Determine source, target DOM element mathematical object;Prompt user to make selection in possible multiple mathematical operations;Add animation effect in mathematical operation process;Find corresponding source, target string mathematical object LaTeX code;The modification that conforms to mathematical operation is carried out to LaTeX code;Refresh formula;Animation prompt the DOM element mathematical object that changes.This application provides a new way of formula derivation, liberate people in the most mechanized brain work in mathematical formula derivation process.

AI based mathematical operation processing device

The invention belongs to the field of educational toys for children, is specially designed for children and low-grade students, and aims to teach addition and subtraction within 100 in an interesting game mode. In order to solve the problems of difficult understanding, low interest and slow operation when children beginner to learn addition and subtraction, the product adopts a colorful turntable design, the turntable is divided into an inner layer and an outer layer, and the inner layer is a 1-49 digital disc and is used for selecting an addend or a subtrahend; and the outer-layer number combination of 50-99 is used for setting an operation type and a first operand. Through rotation, addition and subtraction equations within 100 are generated, and when children operate manually, numbers pointed by arrows are answers. And if the arrow points to 50, all question types of 50 are shown on the turntable when two numbers are added and subtracted. And children are effectively helped to consolidate and deepen mathematical operation skills. And the learning effect of teaching through lively activities is realized. As a tool for mathematics enlightenment and family parent-child interaction, the rotary table can effectively improve interest and understanding of children on mathematics and cultivate logical thinking and rapid response ability.

The embodiment of the invention discloses a method for constructing a topology description function of a three-dimensional spline component. The method comprises the following steps: constructing a first function and a second function; the first function and the second function take the parameter coordinates as variables, and are respectively used for determining the roundness degree of cross section edges corresponding to the parameter coordinates and the number of polygon-like edges; the first function and the second function are continuous differentiable mathematical operation functions; constructing a third function according to the first function and the second function; and constructing a topology description function of the three-dimensional spline component according to the third function. Thus, the first function and the second function are both continuous differentiable functions with parameter coordinates as variables, a continuous field along a path (parameter coordinates) can be obtained, geometric edges and corners and additional design variables caused by segment jump can be thoroughly eliminated, and the third function can enable the cross section size to continuously change along with the high order of the parameter coordinates by using a single analytic expression. The complexity of a topology description function expression can be reduced.

The invention relates to a computer-implemented method for generating a classifier for indirectly measuring physical states of a test object of a type of battery or vehicle by training a classification algorithm, having the following steps: detecting operating data of a plurality of technical devices of the type, said operating data comprising value curves of time-resolved measurement parameters and characterizing the operating behavior and the environment of a respective technical device from a field operation, and state data of the respective technical device during the field operation; generating features by processing at least some of the operating data by means of mathematical operations and / or by selecting data regions from the operating data; selecting relevant features from the generated features by chaining feature selection methods; and training the classification algorithm using the relevant features and the respective associated state data, the classifier thus being generated. The state data characterizes the physical states of the technical devices, and at least two, preferably three or particularly preferably all of the following feature selection methods are selected: - random ranking (103A); - backward ranking (103B); - cluster-based selection (103C); and - subset refinement (103D), the respective selected feature selection methods being carried out according to the order defined by the aforementioned enumeration.

In some embodiments, an electronic device solves mathematical equations detected in text input into applications other than a calculator application. In some embodiments, an electronic device performs unit conversions in a calculator application. In some embodiments, an electronic device presents graphs of mathematical equations. In some embodiments, an electronic device edits graphs of mathematical equations.

The embodiment of the invention discloses a method for constructing a topology description function, which comprises a first function and a second function, wherein the first function takes the parameter coordinate as a variable and is used for determining a point which corresponds to the parameter coordinate and is used for determining a spline assembly center line of the variable thickness spline assembly in a preset design domain and a first coordinate in a world coordinate system, and the second function takes the parameter coordinate as a variable and is used for determining the thickness of the variable thickness spline assembly at the parameter coordinate; the first function and the second function are continuous differentiable mathematical operation functions; constructing a third function according to the first function and the second function; and constructing a topology description function according to the third function. A global continuous differentiable topology description function is constructed through the combination of a first function, a second function and a third function which are continuously differentiable, and the topology description function can promote the application of the topology description function in gradient-based topology optimization and can improve the effectiveness of optimization.

This invention discloses a method for time-series prediction of laser shock signals, comprising the following steps: Step S0, constructing and training a time-series prediction model; Step S1, performing time-series decomposition and baseline prediction; Step S2, completing multi-dimensional feature extraction and micro / nano-level numerical protection; Step S3, completing feature-aware fusion gating generation; Step S4, performing selective execution and dynamic computational routing; Step S5, completing prediction fusion and inverse reconstruction, outputting the final time-series prediction result of the laser shock signal. The corresponding computer-readable storage medium and electronic device are also disclosed. This invention accurately quantifies the predictability confidence of extreme physical signals through multi-dimensional orthogonal features, dynamically determines the routing execution strategy of the compensation prediction branch, and strongly embeds an anti-collapse numerical protection mechanism and a pseudo-inverse solution strategy in the underlying mathematical operations. While safeguarding the stability of the baseline prediction, it achieves high-precision adaptive prediction of laser shock signals.

The invention belongs to the field of educational toys for children, is specially designed for children and low-grade students, and aims to teach addition and subtraction within 20 in an interesting game mode. In order to solve the problems of difficult understanding, low interest and slow operation when children beginner to learn addition and subtraction, the product adopts a colorful turntable design, the turntable is divided into an inner layer and an outer layer, and the inner layer is a 1-19 digital disc and is used for selecting an addend or a subtrahend; and the outer layer is a combination of numbers 1-20 and is used for setting an operation type and a first operand. Through rotation, addition and subtraction equations within 20 are generated, and the number pointed by the arrow is an answer when the child operates manually. And if the arrow points to 10, all question types of 10 appear on the turntable when two numbers are added and subtracted. And children are effectively helped to consolidate and deepen mathematical operation skills. And the learning effect of teaching through lively activities is realized. As a tool for mathematics enlightenment and family parent-child interaction, the rotary table can effectively improve interest and understanding of children on mathematics and cultivate logical thinking and rapid response ability.

The invention relates to an SIMD-based high-performance mathematical function runtime library optimization method and system, and the method optimizes a high-performance mathematical function runtime library through a high-performance mathematical trigonometric function sin, a high-performance mathematical trigonometric function cos (x), a high-performance mathematical trigonometric function tan (x), and a high-performance mathematical function logf (x). On the basis of realization and optimization of sin, cos, tan and log functions of a ReWorks operating system, high-performance optimization of a mathematical trigonometric function and a basic mathematical operation library is realized, vectorization is performed on the basic mathematical function of the system by utilizing an SIMD instruction, external optimization codes can be quickly fused, code assembly line operation is improved, the problem of single-instruction multi-data calculation of the basic mathematical operation library of a ReWorks platform is solved, and the method has the advantages of being simple in structure, convenient to operate and high in practicability. And the performance is improved on an ARMV8 platform.

The application provides a feature spectrum extraction method based on hyperspectral data dimensionality increase, which is suitable for feature spectrum extraction of any object with hyperspectral reflectivity. The method comprises the following steps: using a spectrometer to collect hyperspectral radiance of a measured sample and a white board, and performing pretreatment on the hyperspectral radiance to obtain hyperspectral reflectivity of the measured sample; then, the one-dimensional reflectivity of the measured sample is increased in dimension by mathematical operation to obtain a two-dimensional matrix of the hyperspectral reflectivity, feature extraction is performed to obtain a feature vector, and the feature vector is applied to training and verification of a classification or regression model to obtain a high-precision classification or regression model; finally, the feature vector is mapped back to the hyperspectral wavelength to obtain a corresponding feature spectrum of the high-precision classification or regression model. Compared with a traditional dimensionality reduction method by reducing the number of spectral wavelengths, the method can maximize the information mining in the hyperspectral data, extract the feature spectrum corresponding to the problem, and improve the precision of the classification or regression model.

The invention relates to a computer-implemented method (100) for indirectly measuring a probability of the occurrence of a defect in a test object of a type of technical devices, which are preferably batteries (2) or vehicles (3), having the following work steps: a) measuring state data in a plurality of technical devices of the type of technical devices, wherein the state data comprises whether the defect has occurred; b) measuring (101) operating data of the plurality of technical devices of the type and of the test object, wherein the operating data comprises value profiles of time-resolved measurement parameters and characterise an operating behaviour and an environment of a respective technical device from a field operation, wherein the operating data of those technical devices in which the defect has occurred are defect-marked in accordance with the result of the measurement in step a); c) generating (102) features by processing at least some of the operating data by means of mathematical operations and / or by selecting data regions from the operating data; d) selecting (103) features relevant in relation to the defect from the generated features by means of a concatenation of feature selection methods; e) training a probabilistic classification algorithm by means of the selected relevant features and the respectively associated state data, wherein a classifier (1) is generated; and f) generating (203) output data, comprising a probability of the occurrence of the defect in the test object, by applying the classifier (1) to input data based on the operating data of the test object.

The embodiment of the invention discloses a model determination method based on feature crossing and a related device. For to-be-processed data with sparse feature vector distribution, a feature crossover process is divided into multiple stages in advance, different arithmetical operations are used in different stages, for example, a crossover function is used in the first stage, a pooling function is used in the second stage and the like, so that multiple feature crossover modes are obtained by combining the multiple arithmetical operations in the multiple stages; and obtaining a plurality of to-be-determined models. In a process of constructing a plurality of to-be-determined models, a cross function of which the complexity is greater than a complexity threshold and a pooling function of which the dimensionality reduction degree is smaller than a dimensionality reduction threshold are selected, so that the number of the to-be-determined models is reduced, and the model construction time is shortened. According to the method, the target data is processed based on the multiple to-be-determined models, the to-be-determined models with the processing performance meeting the preset conditions are determined as the target models based on the multiple processing results obtained through processing of the multiple to-be-determined models, and therefore the to-be-processed data is processed based on the target models with the good processing performance.