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11 results about "Linear representation" patented technology

A linear representation of over is a group action (where is a vector space over ) such that the permutation of induced by any element of is a linear map.

A method, system, and medium for cross-subject motion intent recognition

A cross-subject motion intention recognition method, system and medium relate to the technical field of human motion intention recognition. The foregoing method comprises: collecting physiological signals and / or motion signals of a source subject and a target subject under different motion intentions, and preprocessing the same; extracting time domain features and frequency domain features from the preprocessed signals; constructing a kernel space projection function, mapping the extracted features to a reproducing kernel Hilbert space to realize linear representation of nonlinear relationship; constructing a joint objective function comprising a classification loss, a source subject fusion loss and a domain adaptation loss; and optimizing and solving the joint objective function in the reproducing kernel Hilbert space to obtain a classification model for motion intention recognition. The present application can solve the cross-subject generalization problem.
Owner:THE FIRST AFFILIATED HOSPITAL HENGYANG MEDICAL SCHOOL UNIV OF SOUTH CHINA

Sub-pixel curve rendering in content generation systems and applications

Approaches presented herein provide for the generation of image content including fine objects, such as those that may be less than one pixel in width. Fine objects such as hairs can be represented by curve equations, and curves defined by these equations can be given an inflated width in order to perform conservative hit testing to efficiently identify pixels that a hair might intersect. Once candidate pixels are identified through ray tracing or sampling, for example, false positives or pixels with little hair representation can be removed from consideration. For remaining pixels, a linear representation of the inflated curve can be used to determine intersection points and vertices of a pixel quad corresponding to a hair, which can be used to generate a convex geometric shape representative of the object. The percentage of the pixel area occupied by this geometric shape can be used to determine an alpha or blending value for blending the pixel value of this hair or object with the background pixel color.
Owner:NVIDIA CORP

A method for noise identification and filtering of lidar, a terminal device and a storage medium

ActiveCN117368883BSolving dotted noiseSolve the problem of identificationWave based measurement systemsICT adaptationPoint cloudScan line
This invention discloses a method, terminal device, and storage medium for noise identification and filtering in lidar, comprising: clustering line segments according to distance similarity in the scanning order for each scan line, marking suspected noise line segments in each scan line to obtain a set of suspected noise line segments; performing rapid clustering on each suspected noise line segment in the set to obtain multiple targets, and deleting point noise corresponding to targets containing fewer than a threshold line segments from the point cloud; calculating the linear representation of the suspected noise line segments and determining whether it is a centripetal line, and deleting the linear noise corresponding to the centripetal line from the point cloud. This invention is applied to the field of lidar, solving the problem of identifying and filtering point and linear noise in lidar, with low time consumption, compatibility with any multi-line mechanical rotating lidar, strong generalization ability, and the ability to retain real target point clouds with similar noise while filtering noise, resulting in extremely low false detection and false detection rates.
Owner:CHANGSHA XINGSHEN INTELLIGENT TECH CO LTD

Time series data consistency evaluation method based on dynamic mode matching and slope deviation analysis

The invention discloses a time series data consistency evaluation method based on dynamic mode matching and slope deviation analysis. The method comprises the following steps: firstly, loading and preprocessing actually measured data and simulation data, including format unification, sampling alignment and denoising normalization, so as to ensure data comparability; then extracting feature points based on a slope mutation threshold value, and performing piecewise linear modeling by taking the feature points as boundaries to obtain the slope, intercept and residual error of each segment, and forming linear representation of the overall trend and local change; on the basis, slope difference between actually measured data and simulation data is calculated section by section, a trend deviation index is obtained, meanwhile, a characteristic mode based on time span and amplitude difference is constructed, an improved dynamic time warping algorithm is adopted, a path normalization mechanism is introduced, and an overall form difference index is calculated; and finally, a consistency score is obtained through dual-index fusion and weighting, automatic analysis and visual display of time series data consistency can be realized, and the method is suitable for scenes such as inertial navigation and industrial monitoring.
Owner:BEIHANG UNIV

A Five-Axis Machine Tool Dynamics Modeling Method and System Based on Monoid Coding

This invention discloses a method and system for modeling the dynamics of a five-axis machine tool based on monoid coding. The method includes: S1, deriving the modular kinematics of a cascaded five-axis machine tool based on local exponential products; S2, completing the linearization modeling of the modular kinematics with respect to the kinematic parameters; S3, obtaining the linear representations of the inertia, centrifugal force, Coriolis force, and gravity terms of the dynamic model with respect to a multivariate polynomial; S4, describing the linearly represented dynamic model as a bilinear representation with respect to the inertia parameters and the multivariate polynomial; S5, eliminating redundant multivariate polynomials using matrix row correlation and eliminating redundant parameters using matrix decomposition to obtain the minimum set of inertia parameters; S6, inversely encoding the multivariate polynomial encoding numerical matrix and the parameter matrix after redundancy elimination into a symbolic representation with Homer form to achieve efficient model computation. This invention reduces the algorithm development and complexity of five-axis machine tools and is suitable for the rapid deployment of general-purpose five-axis machine tool algorithms.
Owner:NINGBO INST OF MATERIALS TECH & ENG CHINESE ACAD OF SCI

signaling a quantization parameter

ActiveCN115633173BDigital video signal modificationAlgorithmLinear representation
The present disclosure relates to signaling quantization parameters. A method of reconstructing encoded data with one or more processors includes receiving an encoded bitstream including one or more encoded pictures, wherein each picture includes a luma component, a first chroma component, and a second chroma component; extracting syntax parameters from the encoded bitstream to determine a chroma quantization parameter (QP) table, wherein the chroma QP table maps an input luma QP value to a corresponding chroma QP value; and decoding the one or more encoded pictures based on the chroma QP table, wherein the syntax parameters include a starting luma QP value and one or more offset parameters to determine the mapping of luma QP values to chroma QP values using a piecewise linear representation.
Owner:DOLBY LABORATORIES LICENSING CORP

Point cloud migration anti-attack method based on prototype guidance

The invention belongs to the field of artificial intelligence security, and discloses a point cloud migration attack resisting method based on prototype guidance, which comprises the following steps: S1, training a point cloud auto-encoder which comprises an encoder and a decoder; s2, acquiring a set of prototypes corresponding to each category in the data set; s3, performing linear representation on the latent vector of the clean point cloud sample based on the prototype set of the category to obtain a linear combination coefficient; s4, attacking the prototype corresponding to the category to obtain an adversarial prototype; s5, obtaining an adversarial latent vector based on the linear combination coefficient and the adversarial prototype; and S6, inputting the confrontation latent vector into a point cloud auto-encoder for calculation to obtain a confrontation point cloud sample. According to the method, the mobility of the confrontation samples is remarkably improved, and wider black box attack capability is realized. The overfitting of the agent model is effectively avoided, and the generalization ability of resisting disturbance is enhanced. The generated adversarial disturbance is more structural and semantic, and the attack efficiency is higher.
Owner:GUANGZHOU UNIVERSITY

Aero-engine load spectrum filtering method based on time sequence linear representation

PendingCN121210848AAlgorithmOriginal data
The invention discloses an aero-engine load spectrum filtering method based on time sequence linear representation, and relates to the field of aero-engine load spectrums.The method comprises the steps that primary filtering processing is conducted on original data points of an aero-engine load spectrum, and upper filtering points and lower filtering points are sequentially connected according to a time sequence; extracting turning points of the original data points to form a key point sequence, removing data points which have small influence on the trend change, and retaining data points which have large influence on the trend change; carrying out secondary filtering on the key point sequence obtained by the first filtering, judging and extracting edge points based on a slope change threshold value and a distance and a difference value between two key points, and deleting small cycles in the small cycle concentrated region to obtain a final key point sequence; linear interpolation is carried out on the basis of the final key point sequence, an aero-engine load spectrum filtering spectrum is generated, and multi-section linear fitting representation is adopted. According to the method, detail interference is removed, the characteristics of the time sequence are reflected, and the efficiency and accuracy of data mining are improved.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Periodic pile structure band gap calculation method based on domain decomposition and linear representation

The application discloses a kind of based on the band gap calculation method of periodic pile arrangement structure of area decomposition and linear expression method, the method adopts area decomposition to divide pile soil coordinate system, establishes by periodic boundary constraint condition matrix and pile soil contact interface constraint condition matrix composition pile soil cell total constraint condition matrix;Pile soil cell total constraint condition matrix is handled by linear expression method, and the basic solution set is obtained;According to the basic solution set, the total energy functional of pile soil cell and the motion equation of pile soil cell are established;According to the motion equation of pile soil cell, the wave number of first Brillouin zone is scanned, and the vibration dispersion curve of periodic pile arrangement structure is obtained;The corresponding relationship between wave vector and the frequency of periodic pile arrangement structure is analyzed, and the band gap characteristics of periodic pile arrangement structure are obtained.The application avoids the problem of pile soil parameter distortion and the boundary dependence problem in shape function construction, and has low implementation complexity, accurate calculation result and significantly improved calculation efficiency.
Owner:EAST CHINA JIAOTONG UNIVERSITY

Optical interferometric phase extraction method based on principal component analysis and vector inverse orthogonalization

An optical interference phase extraction method based on principal component analysis and vector inverse orthogonalization, which regards the light intensity values of the same pixel points in interference images as a multi-dimensional light intensity vector, according to the double-beam interference light intensity formula, regards the light intensity vectors of different pixel points as the result of linear representation by a group of unknown initial basis vectors, solves the real phase shift between the interference images by solving the unknown initial basis vectors, and finally solves the wrapped phase of the object surface height; when calculating, firstly, a group of standard orthogonal bases of the interference light intensity vector is solved by the principal component analysis method, and the first two principal components of the standard orthogonal bases are considered as the result of orthogonalization of the unknown initial basis vectors; then the constraint conditions are set to establish the equation group, the initial basis vectors are calculated by vector inverse orthogonalization, so as to calculate the real phase shift between the interference images, substitute into the linear over-determined equation group constructed according to the double-beam interference light intensity theory, and solve the least square solution of the wrapped phase of the object surface height.
Owner:XI AN JIAOTONG UNIV

Method and apparatus for determining planetary lithospheric magnetic field model coefficient

PCT designated stageWO2025213613A1Design optimisation/simulationComplex mathematical operationsSpherical harmonicsPerpendicular magnetic field
Provided in the present disclosure are a method and apparatus for determining a planetary lithospheric magnetic field model coefficient. The method comprises: acquiring at a magnetic-field observation point a vertical magnetic-field component which points to a planetary core and is represented by a spherical harmonic function; for the vertical magnetic-field component, obtaining a partial derivative in the geographical south direction, so as to determine a first linear representation corresponding to a spherical harmonic coefficient, and obtaining a partial derivative in the geographical east direction, so as to determine a second linear representation corresponding to the spherical harmonic coefficient; on the basis of the first linear representation and the second linear representation, determining the absolute value of a horizontal gradient corresponding to the vertical magnetic-field component to be a regular term; determining a third linear representation for the spherical harmonic coefficient corresponding to the regular term, and on the basis of the third linear representation, constructing a target function for solving a system of linear equations corresponding to a planetary lithospheric magnetic field model coefficient; and performing optimization processing on the target function, so as to determine a target model coefficient corresponding to the minimum value of the target function. The physical characteristics of a planetary lithospheric magnetic field model can be achieved while effectively solving the problem of model overfitting, and the accuracy of the calculation of a model coefficient is relatively high.
Owner:INSTITUTE OF GEOLOGY AND GEOPHYSICS CHINESE ACADEMY OF SCIENCES