scholarly journals SMOOTHING CUBIC SPLINE PARAMETER CHOICE IN CASE OF UNKNOWN MEASUREMENT NOISE CHARACTERISTICS

2021 ◽  
Vol 2 (№6 2021) ◽  
pp. 248-253
Author(s):  
Yu.E. Voskoboynikov ◽  
V.A. Boeva
Keyword(s):  
Cubic Spline ◽  
Measurement Noise ◽  
Parameter Choice ◽  
Noise Characteristics ◽  
Spline Parameter

Weighted Multi-Sensor Data Fusion Based on Fuzzy Kalman Filter for Seam Tracking of the Welding Robots

2012 ◽  
Vol 542-543 ◽  
pp. 800-805 ◽  
Author(s):  
Jun Du ◽  
Mei Sun ◽  
Liang Hua ◽  
Jia Sheng Ge ◽  
Ju Ping Gu
Keyword(s):  
Kalman Filter ◽  
Data Fusion ◽  
Maximum Modulus ◽  
Seam Tracking ◽  
Measurement Noise ◽  
Sensor Data ◽  
Inference System ◽  
Sensor Data Fusion ◽  
Noise Characteristics ◽  
Multi Sensor Data Fusion

In order to resolve the problem of seam tracking of the welding robots with unknown noise characteristics, a Weighted Multi-Sensor Data Fusion (MSDF) algorithm based on the fuzzy Kalman filter algorithm is proposed. Firstly, each Fuzzy Kalman Filter (FKF) uses a fuzzy inference system based on a covariance matching technique to adjust the weight coefficient of measurement noise covariance matrix, so it makes measurement noise close to the true noise level. Secondly, a membership function in fuzzy set is used to measure the mutual support degree matrix of each FKF and corresponding weight coefficients are allocated by this matrix’s maximum modulus eigenvectors, hence, the final expression of data fusion is obtained. Finally, simulation results show that MSDF in seam tracking has both high precision and strong ability of stableness.

scholarly journals Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaowei He ◽  
Jimin Liang ◽  
Xiaochao Qu ◽  
Heyu Huang ◽  
Yanbin Hou ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Least Squares ◽  
Least Squares Method ◽  
Total Least Squares ◽  
Measurement Noise ◽  
Source Distribution ◽  
Parameter Choice ◽  
Bioluminescence Tomography ◽  
System Errors ◽  
Truncated Total Least Squares

In bioluminescence tomography (BLT), reconstruction of internal bioluminescent source distribution from the surface optical signals is an ill-posed inverse problem. In real BLT experiment, apart from the measurement noise, the system errors caused by geometry mismatch, numerical discretization, and optical modeling approximations are also inevitable, which may lead to large errors in the reconstruction results. Most regularization techniques such as Tikhonov method only consider measurement noise, whereas the influences of system errors have not been investigated. In this paper, the truncated total least squares method (TTLS) is introduced into BLT reconstruction, in which both system errors and measurement noise are taken into account. Based on the modified generalized cross validation (MGCV) criterion and residual error minimization, a practical parameter-choice scheme referred to as improved GCV (IGCV) is proposed for TTLS. Numerical simulations with different noise levels and physical experiments demonstrate the effectiveness and potential of TTLS combined with IGCV for solving the BLT inverse problem.

scholarly journals Designing single-cell experiments to harvest fluctuation noise while rejecting measurement noise

2021 ◽  
Author(s):  
Huy D Vo ◽  
Brian E Munsky
Keyword(s):  
Gene Expression ◽  
Measurement Error ◽  
Single Cell ◽  
Information Matrix ◽  
Experiment Design ◽  
Error Modeling ◽  
Measurement Noise ◽  
Noise Characteristics ◽  
Design Variables ◽  
Gene Expression Heterogeneity

Measurement error is a complicating factor that could reduce or distort the information contained in an experiment. This problem becomes even more serious in the context of experiments to measure single-cell gene expression heterogeneity, in which important quantities such as RNA and protein copy numbers are themselves subjected to the inherent randomness of biochemical reactions. Yet, it is not clear how measurement noise should be managed, in addition to other experiment design variables such as sampling size and frequency, in order to ensure that the collected data provides useful insights on the gene expression mechanism of interest. To address these experiment design challenges, we propose a model-centric framework that makes explicit use of measurement error modeling and Fisher Information Matrix-based criteria to decide between experimental methods. This unified approach not only allows us to see how different noise characteristics affect uncertainty in parameter estimation, but also enables a systematic approach to designing hybrid experiments that combine different measurement methods.

Glucose Calibration Modeling in Blood with Spline Regression Approaching to Non-Invasive Tools

2018 ◽  
pp. 144-149
Author(s):  
Ria Hayatun Nur ◽  
Indahwati A ◽  
Erfiani A
Keyword(s):  
Diabetes Mellitus ◽  
Linear Regression ◽  
Good Health ◽  
Cubic Spline ◽  
The Body ◽  
Spline Regression ◽  
Linear Quadratic ◽  
Important Thing ◽  
Non Invasive

In this globalization era, health is the most important thing to be able to run various activities. Without good health, this will hinder many activities. Diabetes mellitus is one of the diseases caused by unhealty lifestyle.There are many treatments that can be done to prevent the occurrence of diabetes. The treatments are giving the insulin and also checking the glucose rate to the patients.Checking the glucose rate needs the tools which is safety to the body. This research want to develop non invasive tool which is safety and do not injure the patient. The purpose of this research is also finding the best model which derived from Linear, Quadratic, and Cubic Spline Regression. Some respondents were taking to get the glucose measuring by invasive and non invasive tools. It could be seen clearly that Spline Linear Regression was the best model than Quadratic and Cubic Spline Regression. It had 70% and 33.939 for R2 and RMSEP respectively.

Noise Characteristics of a Reduced Blade Count Rotor with Improved Stage Efficiency

2019 ◽  
Author(s):  
Rainer Schädler ◽  
◽  
Dominic Hänni ◽  
Anestis Kalfas ◽  
Reza Abhari ◽  
...  
Keyword(s):  
Noise Characteristics ◽  
Stage Efficiency

Noise Characteristics and Thermal Decay in Single-layer Perpendicular Recording Media

1998 ◽  
Vol 22 (S_3_PMRS_98) ◽  
pp. S3_5-8
Author(s):  
Y. Hirayama ◽  
Y. Honda ◽  
K. Ito ◽  
T. Takeuchi ◽  
M. Futamoto
Keyword(s):  
Single Layer ◽  
Recording Media ◽  
Thermal Decay ◽  
Perpendicular Recording ◽  
Noise Characteristics

Gas Discharge Noise Characteristics of the Silent Discharge Type NOx Cleaning Systems

1995 ◽  
Vol 115 (2) ◽  
pp. 99-106
Author(s):  
Keiichi Uchimura ◽  
Michiharu Shoji ◽  
Tairo Itho ◽  
Jen-Shih Chang
Keyword(s):  
Gas Discharge ◽  
Silent Discharge ◽  
Noise Characteristics ◽  
Discharge Noise
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