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10 results about "Orthogonal complement" patented technology

In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W⊥ of all vectors in V that are orthogonal to every vector in W. Informally, it is called the perp, short for perpendicular complement. It is a subspace of V.

Track prediction model robustness enhancement method based on dynamic subspace projection decomposition

The invention relates to a trajectory prediction model robustness enhancement method based on dynamic subspace projection decomposition. Comprising the following steps: firstly, extracting hidden layer semantic features containing historical tracks and map topology through a multi-modal feature encoder; secondly, constructing a dynamic routing mechanism based on scene self-adaption, and calculating projection weights of input features on a plurality of expert subspaces; then, executing truncation projection operation based on orthogonal decomposition, retaining core semantics located in a low-dimensional space, and filtering out adversarial disturbance located in an orthogonal complementary space; and finally, introducing a feature consistency constraint training mechanism, taking the reconstructed features of the clean sample as anchor points, and compulsively aligning the purified features of the confrontation sample with the anchor points. Compared with the prior art, the method has the advantages that the robustness of the model in white box gradient attack, black box query attack and physical semantic deception scenes is remarkably improved through feature purification of a physical level and structured consistency constraint, and the prediction reliability of the automatic driving system is ensured.
Owner:TONGJI UNIV

Secure alignment method based on neural network parameter subspace restoration

The invention provides a security alignment method based on neural network parameter subspace restoration, which is applied to a federated learning server side, does not access private training data of each participant in the execution process of the method, and executes the following steps in each round of distributed cooperative training: based on the global neural network model parameters of the current round, performing the subspace restoration on the basis of the global neural network model parameters of the current round; respectively obtaining a security parameter increment vector and an unsecurity parameter increment vector; calculating to obtain a difference parameter vector, and decomposing to obtain an orthogonal basis matrix of a danger parameter subspace; projecting the to-be-repaired global parameter updating vector to an orthogonal complementary space of the danger parameter subspace based on the orthogonal basis matrix so as to remove a projection component of the to-be-repaired global parameter updating vector on the danger subspace; and fusing the weighted safety parameter increment vector and the projected parameter updating vector to obtain a repaired global parameter updating vector so as to update the parameters of the global neural network model.
Owner:FUJIAN NORMAL UNIV

A secure alignment method based on neural network parameter subspace repair

The application provides a secure alignment method based on a neural network parameter subspace repair, which is applied to a federal learning server side, and private training data of each participant is not accessed in a method execution process. In each round of distributed collaborative training, the following steps are performed: based on a current round global neural network model parameter, a secure parameter increment vector and an unsafe parameter increment vector are respectively obtained; a difference parameter vector is calculated and decomposed to obtain an orthogonal basis matrix of a dangerous parameter subspace; based on the orthogonal basis matrix, a to-be-repaired global parameter update vector is projected to an orthogonal complement space of the dangerous parameter subspace to remove a projection component of the to-be-repaired global parameter update vector on the dangerous subspace; the weighted secure parameter increment vector and the projected parameter update vector are fused to obtain a repaired global parameter update vector to update a parameter of the global neural network model.
Owner:FUJIAN NORMAL UNIV

Chinese ancient book text repairing method and system based on big data

The invention relates to the technical field of image data processing, and discloses a Chinese ancient book text restoration method and system based on big data, and the method comprises the steps: constructing a homologous font skeleton index database, and extracting the topological nodes and curvature features of the same version stroke skeleton; recognizing a damaged area and extracting a residual skeleton, and matching an optimal homologous skeleton; constructing a thin-plate spline interpolation function and executing non-rigid geometric deformation to generate a target guide skeleton; calculating a damaged region neighborhood background image gradient field to construct a background interference tensor field, and extracting an interference direction vector; constructing an interference vector orthogonal complement space and projecting the skeleton direction vector to the interference vector orthogonal complement space to obtain a net skeleton direction vector; a structure tensor field is reconstructed based on a net skeleton direction vector, texture mapping is guided, through topological isomorphic mapping and orthogonal tensor field constraint, the coupling problem of stroke structure distortion and background noise interference in ancient book repair is solved, and high-fidelity structure reconstruction and texture fusion under a complex engraving style are achieved.
Owner:SOUTHWEAT UNIV OF SCI & TECH

Intelligent scheduling control method in complex environment based on imitation learning

Embodiments of the present disclosure disclose an intelligent scheduling control method in a complex environment based on imitation learning. The specific implementation of the method comprises: calling a large language model to analyze text and convert it into a structured data set, and switching to a conditional random field model when it fails; calculating the minimum Euclidean distance between the environment context vector and the historical expert trajectory matrix to establish the state trajectory envelope drift distance, and when it is greater than a threshold, reconstructing the local expert trajectory segment and refreshing the weight; projecting the policy update gradient to the orthogonal complement space of the expert behavior cloning gradient, calculating the actual update gradient and refreshing the policy parameters to output instructions. This implementation suppresses parameter oscillation caused by state deviation, restricts the update direction using gradient space orthogonality, avoids weight rewriting, and ensures stable scheduling control flow.
Owner:SMART BIRD TECH CO LTD

Construction method and equipment of iterative generalization remote sensing recognition model and medium

PendingCN122024090AScene recognitionFeature extractionOrthogonal complement
The invention discloses an iterative generalization remote sensing recognition model construction method and device and a medium, and the method comprises the steps: carrying out the feature extraction of an initial remote sensing image sample, constructing a semantic topological graph, and constructing an initial sample library through combining the importance of the sample and the similarity between the samples; an orthogonal constraint loss function is adopted, and correlation between features extracted by a target sensing head and a background sensing head of the base model is optimized based on the initial sample library; the optimized base model is used for monitoring new scene remote sensing image samples, and the prediction entropy and the feature drift distance of each sample are calculated to establish a domain adaptation data set training adaptation module; and projecting the parameter variation trained by the adaptive module to an orthogonal complementary space of a first feature subspace determined based on the optimized base model and the initial sample library, and constructing an iterative generalization remote sensing recognition model through parameter fusion. According to the method, efficient adaptation to a new scene is realized, learned old knowledge is not disturbed, and the problem that the old knowledge is forgotten is solved.
Owner:长江水利委员会网络与信息中心

Continuous learning network intrusion detection method and system based on gradient projection and concept drift detection

The invention belongs to the technical field of network security, and particularly relates to a continuous learning network intrusion detection method and system based on gradient projection and concept drift detection. The problems of serious concept drift, disastrous forgetting, new and old knowledge gradient interference and the like of an existing intrusion detection system in a dynamic network environment are solved, network flow data flow is monitored in real time, variance fluctuation of feature dimensions is monitored through a drift detection module based on principal component analysis (PCA), and unsupervised identification of distribution offset is achieved; a strategic sample selection and forgetting mechanism is adopted, a memory buffer area is optimized based on KL divergence, and balanced learning of normal traffic and an evolution abnormal mode is achieved under limited resources; a gradient projection mechanism (GPM) is introduced in a model fine tuning stage, and a parameter updating direction of a new task is limited in an orthogonal complement space of historical knowledge by constructing an orthogonal basis of a historical feature subspace, so that destructive interference between tasks is eliminated on a gradient level.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA +1

Power distribution network fault multi-source heterogeneous feature identification method, system and device and medium

The invention discloses a power distribution network fault multi-source heterogeneous feature recognition method, system and device and a medium, and the method comprises the steps: constructing a multi-source heterogeneous data base covering internal electrical quantity and state quantity and external weather and geographical environment, and improving the quality through employing a data management technology; performing time-frequency localization feature extraction on the transient electrical waveform by using wavelet transform, and constructing a Bayesian network model to process logic uncertainty to realize orthogonal complementation of physical waveform and logic state features; mapping the heterogeneous data to a unified space-time coordinate system through a three-level space-time grid mechanism; constructing a multi-time scale fault prediction model system comprising SVR, LSTM, VAE and GCN; and realizing differentiated operation and maintenance decision recommendation through the power distribution network fault multi-mode knowledge graph. According to the method, the fault identification accuracy and the emergency response efficiency of the power distribution network in a complex environment are remarkably improved.
Owner:GUIZHOU POWER GRID CO LTD

A method for obtaining beamforming weight vectors in an integrated radar and communication system

This invention discloses a method for obtaining beamforming weight vectors in an integrated radar-communication system, within the field of array signal processing technology. The method comprises the following steps: S1: Establishing a receiver signal model for a uniform linear array antenna in the integrated radar-communication system; S2: Introducing orthogonal polynomials and the Gauss-Legendal numerical integration method to perform a low-complexity, fast fitting solution for the interference subspace; S3: Introducing the Schmitt orthogonalization method to recursively solve the orthogonal complement projection operator of the interference subspace and project it to obtain the beamforming weight vector; S4: Introducing an equivalent representation of the beamforming weight vector under a dual-phase shifter architecture to obtain the updated beamforming weight vector value under the dual-phase shifter architecture. This beamforming weight vector acquisition method solves the problems of high computational complexity, poor performance in low-quantization-bit hardware scenarios, and desired signal suppression under high signal-to-interference-plus-noise ratios in existing methods, achieving low-complexity and highly robust beamforming.
Owner:SOUTHEAST UNIV +1