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42,090 Results Found

  • Article
  • Open Access
7 Citations
4,943 Views
18 Pages

Neugebauer Models for Color Error Diffusion Halftoning

  • Kaiming Wu,
  • Kohei Inoue and
  • Kenji Hara

In this paper, we propose a method for halftoning color images based on an error diffusion technique, a color design criterion and Neugebauer models for expressing colors. For a natural extension of the conventional method for grayscale error diffusi...

  • Article
  • Open Access
3 Citations
6,511 Views
12 Pages

29 October 2024

Error correction is a vital element in modern automatic speech recognition (ASR) systems. A significant portion of ASR error correction work is closely integrated within specific ASR systems, which creates challenges for adapting these solutions to d...

  • Article
  • Open Access
4 Citations
7,443 Views
12 Pages

In the kinetic evaluation of chemical degradation data, degradation models are fitted to the data by varying degradation model parameters to obtain the best possible fit. Today, constant variance of the deviations of the observed data from the model...

  • Article
  • Open Access
959 Views
16 Pages

9 September 2025

Typically, the traditional bootstrap methods for parameter inference of spatial error models suffer from high computational costs, so this study proposes fast cluster bootstrap methods for spatial error models to deal with the dilemma. The key idea i...

  • Feature Paper
  • Review
  • Open Access
109 Citations
14,796 Views
30 Pages

When performing a regression or classification analysis, one needs to specify a statistical model. This model should avoid the overfitting and underfitting of data, and achieve a low generalization error that characterizes its prediction performance....

  • Article
  • Open Access
6 Citations
2,034 Views
13 Pages

5 November 2021

Combustion of energy fuels or organic waste is associated with the emission of harmful gases and aerosols into the atmosphere, which strongly affects air quality. Air quality monitoring devices are unreliable and measurement gaps appear quite often....

  • Article
  • Open Access
2 Citations
2,300 Views
12 Pages

Error Bound of Mode-Based Additive Models

  • Hao Deng,
  • Jianghong Chen,
  • Biqin Song and
  • Zhibin Pan

22 May 2021

Due to their flexibility and interpretability, additive models are powerful tools for high-dimensional mean regression and variable selection. However, the least-squares loss-based mean regression models suffer from sensitivity to non-Gaussian noises...

  • Article
  • Open Access
3 Citations
895 Views
15 Pages

Mathematical Models of Critical Soft Error in Synchronous and Self-Timed Pipeline

  • Igor Sokolov,
  • Yuri Stepchenkov,
  • Yuri Diachenko and
  • Dmitry Khilko

21 February 2025

This paper analyzes the impact of a single soft error on the performance of a synchronous and self-timed pipeline. A nuclear particle running through the integrated circuit body is considered the most probable soft error source. The existing estimate...

  • Article
  • Open Access
7 Citations
3,500 Views
12 Pages

29 April 2019

This paper considers performance criteria for the identification of sensor error models and the procedure for their calculation. These criteria are used to investigate the efficiency of the identification problem solution, depending on the initial da...

  • Entry
  • Open Access
1 Citations
3,002 Views
13 Pages

14 July 2024

This entry examines Lorenz’s error growth models with quadratic and cubic hypotheses, highlighting their mathematical connections to the non-dissipative Lorenz 1963 model. The quadratic error growth model is the logistic ordinary differential e...

  • Article
  • Open Access
1,135 Views
11 Pages

4 June 2024

Under the condition of non-classical distributed errors, the test for spatial dependence in spatial panel data models is still a problem waiting to be solved. In this paper, we apply the FDB (Fast Double Bootstrap) method to spatial panel data models...

  • Article
  • Open Access
7 Citations
3,398 Views
19 Pages

6 June 2022

Estimation of error variance in a regression model is a fundamental problem in statistical modeling and inference. In high-dimensional linear models, variance estimation is a difficult problem, due to the issue of model selection. In this paper, we p...

  • Article
  • Open Access
5 Citations
5,555 Views
11 Pages

This article explores the fitting of Autoregressive (AR) and Threshold AR (TAR) models with a non-Gaussian error structure. This is motivated by the problem of finding a possible probabilistic model for the realized volatility. A Gamma random error i...

  • Article
  • Open Access
2 Citations
1,511 Views
17 Pages

16 April 2024

In the present study, we consider continuous-time modeling of dynamics using observed data and formulate the modeling error caused by the discretization method used in the process. In the formulation, a class of linearized dynamics called Dahlquist&r...

  • Article
  • Open Access
1,996 Views
14 Pages

Regularized regression methods have attracted much attention in the literature, mainly due to its application in high-dimensional variable selection problems. Most existing regularization methods assume that the predictors are directly observed and p...

  • Article
  • Open Access
19 Citations
7,990 Views
18 Pages

10 January 2014

Modern observation technology has verified that measurement errors can be proportional to the true values of measurements such as GPS, VLBI baselines and LiDAR. Observational models of this type are called multiplicative error models. This paper is t...

  • Article
  • Open Access
1,779 Views
26 Pages

Identifying and classifying mathematical errors is crucial to improving the teaching and learning process, particularly for first-year engineering students who often struggle with foundational mathematical competencies. This study aims to select the...

  • Article
  • Open Access
1,242 Views
23 Pages

The growing number of domain-specific machine learning benchmarks has driven methodological progress, yet real-world deployments require a different evaluation approach. Model-aware synthetic benchmarks, designed to emphasize failure modes of existin...

  • Article
  • Open Access
3 Citations
3,045 Views
18 Pages

29 December 2023

This study presents an error flow research method for simulation models of hydraulic systems in construction machinery based on the state-space approach, aiming to ensure the reliable application of digital twin models. Initially, a comprehensive ana...

  • Article
  • Open Access
17 Citations
4,278 Views
19 Pages

20 May 2021

The Interferometric Synthetic Aperture Radar (InSAR) technique has been widely used to obtain the ground surface deformation of geohazards (e.g., mining subsidence and landslides). As one of the inherent errors in the interferometric phase, the digit...

  • Article
  • Open Access
2,604 Views
21 Pages

Development of Aerodynamic and Propulsion Models Using the Iterative Equation Error Method

  • Murat Millidere,
  • Ferhat Akgül,
  • Kemal Leblebicioğlu and
  • James F. Whidborne

21 December 2023

For developing high-fidelity flight simulations, an accurate and complete representation of the aerodynamic characteristics of the aircraft is necessary. To obtain a realistic aerodynamic database, system identification methods can be used to describ...

  • Article
  • Open Access
1 Citations
3,273 Views
21 Pages

Approximate computing has been a good paradigm of energy-efficient accelerator design. Accurate and fast error estimation is critical for appropriate approximate techniques selection so that power saving (or performance improvement) can be maximized...

  • Article
  • Open Access
3 Citations
1,581 Views
19 Pages

25 January 2024

Spatial regression models are widely available across several disciplines, such as functional magnetic resonance imaging analysis, econometrics, and house price analysis. In nature, sparsity occurs when a limited number of factors strongly impact ove...

  • Article
  • Open Access
6 Citations
2,625 Views
11 Pages

Linking errors in item response models quantify the dependence on the chosen items in means, standard deviations, or other distribution parameters. The jackknife approach is frequently employed in the computation of the linking error. However, this j...

  • Article
  • Open Access
41 Citations
5,505 Views
21 Pages

Development of a System of Compatible Individual Tree Diameter and Aboveground Biomass Prediction Models Using Error-In-Variable Regression and Airborne LiDAR Data

  • Liyong Fu,
  • Qingwang Liu,
  • Hua Sun,
  • Qiuyan Wang,
  • Zengyuan Li,
  • Erxue Chen,
  • Yong Pang,
  • Xinyu Song and
  • Guangxing Wang

22 February 2018

Estimating individual tree diameters at breast height (DBH) from delineated crowns and tree heights on the basis of airborne light detection and ranging (LiDAR) data provides a good opportunity for large-scale forest inventory. Generally, ground-base...

  • Article
  • Open Access
1 Citations
2,593 Views
23 Pages

16 May 2023

We investigated the potential impact of observation error on the calibration performance of an integrated watershed model. A three-dimensional integrated model was constructed using HydroGeoSphere and applied to the Sabgyo watershed in South Korea to...

  • Article
  • Open Access
1 Citations
2,901 Views
14 Pages

25 February 2025

Grammatical error correction (GEC) has become increasingly important for enhancing the quality of OCR-scanned texts. This small-scale study explores the application of Large Language Models (LLMs) for GEC in German children’s literature, a genr...

  • Article
  • Open Access
5 Citations
2,877 Views
19 Pages

29 December 2022

Airborne LiDAR has been extensively used for estimating and mapping forest attributes at various scales. However, most models have been developed separately and independently without considering the intrinsic mathematical relationships and correlatio...

  • Article
  • Open Access
10 Citations
1,982 Views
21 Pages

21 June 2024

The two-parameter logistic (2PL) item response theory model is a statistical model for analyzing multivariate binary data. In this article, two groups are brought onto a common metric using the 2PL model using linking methods. The linking methods of...

  • Article
  • Open Access
1 Citations
2,855 Views
28 Pages

25 October 2023

This paper is concerned with the estimation of forecast error, particularly in relation to insurance loss reserving. Forecast error is generally regarded as consisting of three components, namely parameter, process and model errors. The first two of...

  • Article
  • Open Access
4 Citations
3,190 Views
19 Pages

Improved Inverse Modeling by Separating Model Structural and Observational Errors

  • Qin-Bo Cheng,
  • Xi Chen,
  • Dan-Dan Cheng,
  • Yan-Yan Wu and
  • Yong-Yu Xie

28 August 2018

A practical formal likelihood function (L) is developed to separate model structure errors and observation errors by the separation of correlated and uncorrelated model residuals. L overcomes the time-consuming problem of likelihood functions propose...

  • Article
  • Open Access
2,040 Views
16 Pages

Modeling and Compensation of Positioning Error in Micromanipulation

  • Miao Hao,
  • Bin Yang,
  • Changhai Ru,
  • Chunfeng Yue,
  • Zongjie Huang,
  • Rongan Zhai,
  • Yu Sun,
  • Yong Wang and
  • Changsheng Dai

30 March 2023

In order to improve the positioning accuracy of the micromanipulation system, a comprehensive error model is first established to take into account the microscope nonlinear imaging distortion, camera installation error, and the mechanical displacemen...

  • Article
  • Open Access
5 Citations
3,088 Views
15 Pages

Analysis and Modelling of the Commutation Error

  • Markus Klein and
  • Massimo Germano

31 December 2020

A multiscale dynamic analysis of the commutation error, based on the filtering approach is performed. The similarity multiscale hypothesis proposed by Bardina (1983) and extended by Geurts and Holm (2006) to the commutation error is examined in detai...

  • Review
  • Open Access
102 Citations
10,622 Views
16 Pages

A Review of Thermal Error Modeling Methods for Machine Tools

  • Yang Li,
  • Maolin Yu,
  • Yinming Bai,
  • Zhaoyang Hou and
  • Wenwu Wu

4 June 2021

Thermal error caused by thermal deformation is one of the most significant factors influencing the accuracy of the machine tool. Compensation is a practical and efficient method to reduce the thermal error. Among all the thermal error compensation pr...

  • Article
  • Open Access
4 Citations
3,255 Views
27 Pages

11 January 2023

The two-parameter logistic (2PL) item response model is likely the most frequently applied item response model for analyzing dichotomous data. Linking errors quantify the variability in means or standard deviations due to the choice of items. Previou...

  • Article
  • Open Access
7 Citations
8,487 Views
18 Pages

12 January 2018

Attitude error models play an important role in analyzing the characteristics of navigation error propagation for the design and operation of strapdown inertial navigation systems (SINS). However, the majority of existing attitude error models focus...

  • Article
  • Open Access
1,415 Views
23 Pages

Error Separation Method for Geometric Distribution Error Modeling of Precision Machining Surfaces Based on K-Space Spectrum

  • Zhichao Sheng,
  • Jian Xiong,
  • Zhijing Zhang,
  • Taiyu Su,
  • Min Zhang,
  • Qimuge Saren and
  • Xiao Chen

18 December 2024

The geometric error distributed on components’ contact surfaces is a critical factor affecting assembly accuracy and precision instrument stability. Effective error separation methods can improve model accuracy, thereby aiding in performance pr...

  • Article
  • Open Access
6 Citations
5,939 Views
22 Pages

17 September 2015

A bell-shaped vibratory angular velocity gyro (BVG), inspired by the Chinese traditional bell, is a type of axisymmetric shell resonator gyroscope. This paper focuses on development of an error model and compensation of the BVG. A dynamic equation is...

  • Proceeding Paper
  • Open Access
1,058 Views
5 Pages

Metering Error Assessment Model Considering Multiple Factors

  • Kunyi Li,
  • Jinliang Gao,
  • Wenyan Wu,
  • Shihua Qi,
  • Huizhe Cao,
  • Wei Qiu,
  • Yuan Tian and
  • Xiaoyu Zhu

4 September 2024

This study investigates novel methods for estimating metering errors in water meters, crucial for effectively managing apparent losses in Water Distribution Networks. Laboratory experiments were conducted to analyze the impact of various factors on m...

  • Article
  • Open Access
1 Citations
1,694 Views
13 Pages

4 October 2023

In this paper, a one-way error component regression model with measurement errors is considered. The unknown parameter vector is estimated by using the bias-corrected method, and its corresponding asymptotic properties are also developed. For the hyp...

  • Article
  • Open Access
630 Views
19 Pages

11 July 2025

Laser sintering (LS) technology is one of the most widely commercialized additive manufacturing technologies. However, the popularization of LS technology in civilian applications has long been constrained by accuracy-related issues. Polyamide (PA),...

  • Article
  • Open Access
6 Citations
2,999 Views
16 Pages

21 January 2023

Regardless of whether the global navigation satellite system (GNSS)/inertial navigation system (INS) is integrated or the INS operates independently during GNSS outages, the stochastic error of the inertial sensor has an important impact on the navig...

  • Review
  • Open Access
12 Citations
5,512 Views
16 Pages

A Review of Machine Learning-Based Thermal Error Modeling Methods for CNC Machine Tools

  • Sen Mu,
  • Chunping Yu,
  • Kunlong Lin,
  • Caijiang Lu,
  • Xi Wang,
  • Tao Wang and
  • Guoqiang Fu

17 February 2025

Heat source-induced thermal error is a primary element influencing the precision of CNC machine tools. A practical and economical approach to mitigating thermal errors is through thermal error compensation. To provide a comprehensive understanding of...

  • Article
  • Open Access
2 Citations
6,636 Views
15 Pages

Error Modeling and Calibration for Encoded Sun Sensors

  • Qiaoyun Fan,
  • Guangjun Zhang,
  • Jian Li,
  • Xinguo Wei and
  • Xiaoyang Li

7 March 2013

Error factors in the encoded sun sensor (ESS) are analyzed and simulated. Based on the analysis results, an ESS error compensation model containing structural errors and fine-code algorithm errors is established, and the corresponding calibration met...

  • Article
  • Open Access
32 Citations
6,407 Views
16 Pages

31 January 2021

Based on the current situation of high precision and comparatively low APA (absolute positioning accuracy) in industrial robots, a calibration method to enhance the APA of industrial robots is proposed. In view of the "hidden" characteristics of the...

  • Article
  • Open Access
8 Citations
2,845 Views
22 Pages

15 February 2021

In order to investigate the thermal effect of a servo axis’ positioning error on the accuracy of machine tools, an empirical modeling method was proposed, which considers both the geometric and thermal positioning error. Through the analysis of the c...

  • Feature Paper
  • Article
  • Open Access
29 Citations
7,208 Views
17 Pages

Development of an Error Model for a Factory-Calibrated Continuous Glucose Monitoring Sensor with 10-Day Lifetime

  • Martina Vettoretti,
  • Cristina Battocchio,
  • Giovanni Sparacino and
  • Andrea Facchinetti

3 December 2019

Factory-calibrated continuous glucose monitoring (FC-CGM) sensors are new devices used in type 1 diabetes (T1D) therapy to measure the glucose concentration almost continuously for 10–14 days without requiring any in vivo calibration. Understan...

  • Article
  • Open Access
6 Citations
3,103 Views
23 Pages

Green Growth, Economic Development, and Carbon Dioxide Emissions: An Evaluation Based on Cointegration and Vector Error Correction Models

  • Yu Sun,
  • Mingxing Li,
  • Hongzheng Sun,
  • Shahida Kanwel,
  • Mengjuan Zhang,
  • Naila Erum and
  • Abid Hussain

20 May 2022

Economic development is mainly dependent on fossil fuels. The massive use of fossil fuels has led to changes in the climate environment, in which the deterioration of air quality has affected people’s daily lives. This paper introduces the gree...

  • Article
  • Open Access
7 Citations
5,437 Views
41 Pages

2 July 2017

The direct position determination approach was recently presented as a promising technique for the localization of a transmitting source with accuracy higher than that of the conventional two-step localization method. In this paper, the theoretical p...

  • Article
  • Open Access
5 Citations
5,030 Views
13 Pages

Improving Angular Accuracy of a Scanning Mirror Based on Error Modeling and Correction

  • Yue Fan,
  • Wenli Ma,
  • Ping Jiang,
  • Jinlong Huang,
  • Kewei Chen and
  • Nian Pan

17 January 2019

Scanning mirrors appear to be key components in optoelectronic systems for line-of-sight (LOS) stabilization. For improving the angular accuracy of a scanning mirror based on the eddy current displacement sensor measurement, an angular error-correcti...

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