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  1. Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error

    Abstract

    We consider an observation problem for a two-dimensional system with an unknown input action in the presence of a measurement error. Sharp...

    V. V. Fomichev, A. O. Vysotskii in Differential Equations
    Article 01 December 2022
  2. Feature Screening and Error Variance Estimation for Ultrahigh-Dimensional Linear Model with Measurement Errors

    In this paper, we mainly study the feature screening and error variance estimation in ultrahigh-dimensional linear model with errors-in-variables...

    Hengjian Cui, Feng Zou, Li Ling in Communications in Mathematics and Statistics
    Article 24 February 2023
  3. Partially Linear Single-Index Model in the Presence of Measurement Error

    The partially linear single-index model (PLSIM) is a flexible and powerful model for analyzing the relationship between the response and the...

    Hongmei Lin, Jianhong Shi, ... Riquan Zhang in Journal of Systems Science and Complexity
    Article 03 August 2022
  4. Calculation of nth Derivative with Minimum Error Based on Function’s Measurement

    Abstract

    A solution of the problem that arises in all cases where it is required to approximately calculate the derivatives of an a priori smooth...

    A. S. Demidov, A. S. Kochurov in Computational Mathematics and Mathematical Physics
    Article 01 September 2023
  5. Quantum Error Correction

    Fault-tolerant quantum computation essentially relies on quantum error-correcting codes. By repeated measurements of the error syndromesError...
    Belal Ehsan Baaquie, Leong-Chuan Kwek in Quantum Computers
    Chapter 2023
  6. Error Modeling in NISQ Devices

    The name “noisy intermediate-scale quantum (NISQ)” is commonly used to describe the current quantum computers. Those devices often have enough qubits...
    Muqing Zheng, **u Yang in Encyclopedia of Optimization
    Living reference work entry 2023
  7. Measurement model and accuracy analysis of parabolic ballistic projectile flight parameters based on random matrix

    The existing six light screen array measuring methodology of uniform linear trajectory is unable to determine the impact coordinate and flight speed...

    Article 13 January 2024
  8. Incorporating Relative Error Criterion to Conformal Prediction for Positive Data

    Positive data are very common in many scientific fields and applications; for these data, it is known that estimation and inference based on relative...

    Yuxiang Luo, Yang Wei, ... Bing-Yi **g in Communications in Mathematics and Statistics
    Article 01 September 2023
  9. Optimal design of wall temperature measurement for microchannel flat tube based on resistance temperature detector

    Microchannel heat exchangers are characterized by high heat transfer efficiency and compact volume. The accuracy of microchannel wall temperature...

    Bingcheng Li, Keke Xu, ... Qiuwang Wang in Optimization and Engineering
    Article 27 July 2023
  10. On connections between Amplitude Flow and Error Reduction for phase retrieval and ptychography

    In this paper, we consider two iterative algorithms for the phase retrieval problem: the well-known Error Reduction method and the Amplitude Flow...

    Article Open access 12 September 2022
  11. Error analysis on the initial state reconstruction problem

    In this paper, we propose a method to estimate the initial state of a linear dynamical system from noisy observation based on Kalman Filters and...

    Rocio Diaz Martin, Ivan Medri, Juliana Osorio in Sampling Theory, Signal Processing, and Data Analysis
    Article 17 May 2023
  12. Fixed-Time Controller Design for a Quadrotor UAV with Asymmetric Output Error Constraints

    In this article, a fixed-time tracking control strategy is proposed for a quadrotor UAV (QUAV) with external disturbance and asymmetric output error...

    Fang Wang, Zhigang Ma, ... Qun Zong in Journal of Systems Science and Complexity
    Article 19 October 2023
  13. A Note on Rounding Error in The Variables: Understanding Its Influence on Statistical Estimators

    When estimating the variance, higher moments, and regression coefficients using rounded data, bias is commonly introduced into these estimates....

    Amar Ahmad in La Matematica
    Article Open access 02 July 2024
  14. Estimation of Uncertainty for Measurement of Ship Ice Resistance in Ice Basin

    Evaluation of the ship’s ice capability is closely related to how accurate the ice resistance measurements of the ship hull that breaks the ice....
    Chapter 2023
  15. On the Error in Determining the Protective Layer Boundary in the Inverse Heat Problem

    Abstract

    The paper studies the problem of determining the error introduced by inaccuracy in determining the thickness of a protective heat-resistant...

    V. P. Tanana, B. A. Markov in Journal of Applied and Industrial Mathematics
    Article 01 September 2023
  16. Measurement of Similarity (I)

    This chapter introduces the idea of measurement of similarity between referential and derived ideas, considering initially that both have the same...
    Carlos de Lemos Almada in Musical Variation
    Chapter 2023
  17. Algorithm for Monitoring Optical Coating Sputter Deposition Based on Broadband Measurement Sample Data

    Abstract

    We consider an algorithm for monitoring the process of sputter deposition of optical coatings based on the analysis of sample data of...

    V. D. Shinkarev, D. V. Lukyanenko, ... A. G. Yagola in Journal of Applied and Industrial Mathematics
    Article 01 September 2023
  18. Mathematical Basis of the Stochastic Digital Measurement Method

    Stochastic digital measurement method (SDMM) is a significantly different paradigm of digital measurements compared to the standard sampling method...
    Vladimir Vujičić, Jelena Djordjević Kozarov, ... Bojan Vujičić in Stochastic Processes, Statistical Methods, and Engineering Mathematics
    Conference paper 2022
  19. On Autoregressive Measurement Errors in a Two-Factor Model

    In this study, we consider the extended two-factor model, originally introduced by Schwartz and Smith (2000), which has been commonly used for the...
    Jun S. Han, Nino Kordzakhia, ... Stefan Trück in 2021-2022 MATRIX Annals
    Chapter 2024
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