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41 results about "Regularized least squares" patented technology

Regularized least squares (RLS) is a family of methods for solving the least-squares problem while using regularization to further constrain the resulting solution. RLS is used for two main reasons. The first comes up when the number of variables in the linear system exceeds the number of observations. In such settings, the ordinary least-squares problem is ill-posed and is therefore impossible to fit because the associated optimization problem has infinitely many solutions. RLS allows the introduction of further constraints that uniquely determine the solution.

Nonlinear frequency modulation component decomposition-based time-frequency domain modal parameter identification method

The invention discloses a nonlinear frequency modulation component decomposition-based time-frequency domain modal parameter identification method comprising steps of (1) acquiring a dynamic response signal of a to-be-identified structure and setting sampling time and frequency, (2) building a redundancy Fourier model including the response signal, instantaneous frequency and instantaneous amplitude via Fourier series, (3) extracting instantaneous frequency information of the response signal according to generalized parameterization time-frequency transform, (4) extracting instantaneous amplitude information of the response signal according to a regularized least square method according to the acquired instantaneous frequency information, (5) conducting structure modal parameter identification via a linear least square fitting algorithm based on the instantaneous frequency information and slope information of the instantaneous amplitude logarithm and (6) analyzing errors of an identification result. Signal analysis and modal parameter identification are conducted according to a structure vibration response signal, so simple and easy use can be achieved; modal parameter identification precision for high-compact modal structures can be effectively improved; and strong adaptability and interference resistance capacity can be provided.
Owner:SHANGHAI JIAO TONG UNIV

Power equipment fault monitoring method based on mutual reconstruction single-class auto-encoder

ActiveCN112381180ATo achieve the purpose of abnormal detectionEssential feature representationData processing applicationsElectrical testingAlgorithmAnomaly detection
The invention discloses a power equipment fault monitoring method based on a mutual reconstruction single-class auto-encoder.The method comprises the following steps: preprocessing acquired magnetic field information of power equipment in normal operation to obtain a training data sample set, training K mutual reconstruction single-class random auto-encoders WSI-GAE by taking the training data sample set as input to obtain a final encoding result, performing single classification model training by using regularized least square single classification loss, obtaining a fitting error of each trained data sample, and selecting a threshold from fitting error sequences of the data samples arranged from large to small, for newly collected magnetic field information data of the power equipment, the obtained fitting error is compared with a threshold value, and when the fitting error is larger than the threshold value, it can be judged that the power equipment has abnormal conditions such as faults. According to the invention, a single-class classifier technology is used to realize anomaly detection, and the method is more suitable for the target of the invention. The fault abnormity monitoring accuracy of the power equipment is improved.
Owner:杭州拓深科技有限公司

Semi-supervised classification method capable of simultaneously learning affinity matrix and Laplacian regularized least square

The invention discloses a semi-supervised classification method capable of simultaneously learning an affinity matrix and a Laplacian regularized least square, which mainly comprises the following steps: firstly, a joint model capable of simultaneously learning the affinity matrix and the Laplacian regularized least square is established according to a training sample; secondly, the block coordinate descent method is used to optimize all kinds of variables in the model; and finally, the soft label of the sample is obtained by a Laplacian regularized least square classifier, and the dimension with the largest element in a label vector is selected as the category of the sample. The invention effectively fuses the sparse self-representation problem of samples and the Laplacian regularized least square classifier, and realizes the simultaneous optimization and mutual improvement of the sample affinity matrix and the Laplacian regularized least square classifier in the learning process. Theinvention has an explicit classifier function, so that the problem of an external sample can be effectively handled. Compared with other semi-supervised classification methods, the method has more accurate classification accuracy and good application prospects.
Owner:温州大学苍南研究院

Adaptive state estimation method for autoregressive moving average system and closed-loop control system

The invention discloses a method and device for carrying out adaptive state estimation on an autoregressive moving average system with additive output noise and control variables and a closed-loop control system. The method comprises the following steps: performing state space implementation on the autoregressive moving average system of which a preset application background is provided with additive output noise and a control variable; modeling the additive output noise of the autoregressive moving average system by utilizing an L2 norm regular term; simultaneously estimating the state valueand the output noise of the autoregressive moving average system by using a regularization least square method; and taking a regularization parameter for adjusting the detection intensity of the output noise as an optimal regularization parameter when an error between the sample variance of an estimated residual error and the variance of actual system noise is minimized. According to the invention, the negative influence of the output noise caused by the autocorrelation can be eliminated under the condition that the output of the system has the autocorrelation, and the method for performing adaptive unbiased estimation on the state value of the system is provided.
Owner:重庆冲程科技有限公司

Time-Frequency Domain Modal Parameter Identification Method Based on Nonlinear FM Component Decomposition

The invention discloses a time-frequency domain modal parameter identification method based on nonlinear frequency modulation component decomposition, comprising the following steps: 1. Obtaining the dynamic response signal of the structure to be identified and setting the sampling time and frequency; 2. Through Fourier The leaf series establishes the redundant Fourier model of the response signal, instantaneous frequency and instantaneous amplitude; 3. Extract the instantaneous frequency information of the response signal through the generalized parameterized time-frequency transformation; 4. According to the obtained instantaneous frequency information, through regularization The instantaneous amplitude information of the response signal is extracted by the least squares method; 5. According to the slope information of the instantaneous frequency and the logarithm of the instantaneous amplitude, the modal parameter identification of the structure is realized by using the linear least squares fitting algorithm; 6. The identification results are analyzed Error Analysis. The invention directly uses the vibration response of the structure for signal analysis and mode parameter identification, is simple and convenient to use, can effectively improve the mode parameter identification accuracy of dense mode structures, and has strong applicability and anti-interference ability.
Owner:SHANGHAI JIAOTONG UNIV

Method and device for performing robust state estimation on state-limited nonlinear system

The invention discloses a method and a device for performing robust state estimation on a state-limited nonlinear system. The method comprises the following steps: performing state space implementation on the state-limited nonlinear system with a preset application background; converting the nonlinear system into a linear system by using a statistical linear regression method; processing abnormal interference and correlation introduced by linearization by using a regularization least square principle; processing the constraint condition by using a Lagrange multiplier method; simultaneously estimating a state value and abnormal interference of the system by using an alternating direction multiplier method; and taking a corresponding regularization parameter used for adjusting the abnormal interference detection intensity when the difference between the estimated probability and the empirical probability of abnormal interference occurrence is minimized as an optimal regularization parameter. In this way, under the condition that the state-limited nonlinear system is affected by abnormal interference, additional negative effects caused by correlation introduced by linearization of the system can be eliminated, and an accurate robust state estimation result is obtained.
Owner:SOUTHWEST UNIVERSITY
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