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  1. The k-nearest neighbors method in single index regression model for functional quasi-associated time series data

    In the present paper, we consider the k -Nearest Neighbors ( k -NN) method in the single index regression model in the case of a functional predictor...

    Salim Bouzebda, Ali Laksaci, Mustapha Mohammedi in Revista Matemática Complutense
    Article 06 July 2022
  2. Discussion about Properties of First Nearest Neighbor Graphs

    Abstract

    In this study we present a benchmark of statistical distributions of the first nearest neighbors in random graphs. We consider distribution...

    A. A. Kislitsyn, Yu. N. Orlov in Lobachevskii Journal of Mathematics
    Article 01 December 2022
  3. Nearest Neighbor Sampling of Point Sets Using Rays

    We propose a new framework for the sampling, compression, and analysis of distributions of point sets and other geometric objects embedded in...

    Liangchen Liu, Louis Ly, ... Richard Tsai in Communications on Applied Mathematics and Computation
    Article 11 December 2023
  4. Investigation of Statistics of Nearest Neighbor Graphs

    Abstract

    This paper describes some statistical properties of the nearest neighbor graphs (NNGs). We study the sample distributions of graphs by the...

    Article 11 April 2023
  5. Efficient nearest neighbors methods for support vector machines in high dimensional feature spaces

    In the context of support vector machines, identifying the support vectors is a key issue when dealing with large data sets. In Camelo et al. (Ann...

    Diana C. Montañés, Adolfo J. Quiroz, ... Alvaro J. Riascos Villegas in Optimization Letters
    Article 13 July 2020
  6. Asymptotics of k-nearest Neighbor Riesz Energies

    We obtain new asymptotic results about systems of N particles governed by Riesz interactions involving k -nearest neighbors of each particle as ...

    Douglas P. Hardin, Edward B. Saff, Oleksandr Vlasiuk in Constructive Approximation
    Article 15 April 2023
  7. Modeling the Nearest Neighbor Graphs to Estimate the Probability of the Independence of Data

    Abstract

    The proposed method is based on calculations of the statistics of the nearest neighbor graph (NNG) structures, which are presented as a...

    Article 26 December 2023
  8. Distances and Nearest Neighbors

    At the core of most data analysis tasks and their formulations is a distance. This choice anchors the meaning and the modeling inherent in the...
    Chapter 2021
  9. Development of Imputation Methods for Missing Data in Multiple Linear Regression Analysis

    Abstract

    Missing data is a common issue in many domains of study. If this issue is disregarded, the erroneous conclusion may be reached. This study’s...

    Thidarat Thongsri, Klairung Samart in Lobachevskii Journal of Mathematics
    Article 01 November 2022
  10. Survey on KNN Methods in Data Science

    The k-nearest neighbors (KNN) algorithm remains a useful and widely applied approach. In the recent years, we have seen many advances in KNN methods,...
    Panos K. Syriopoulos, Sotiris B. Kotsiantis, Michael N. Vrahatis in Learning and Intelligent Optimization
    Conference paper 2022
  11. Methods for Compositional Data

    You work with compounds of a whole (and, of course, including missing values), for example, measurements of parts per million of chemical elements of...
    Chapter 2023
  12. Nearest Neighbor Forecasting Using Sparse Data Representation

    The method of the nearest neighbors as well as its variants have proven to be very powerful tools in the non-parametric prediction and categorization...
    Dimitrios Vlachos, Dimitrios Thomakos in Mathematical Analysis in Interdisciplinary Research
    Chapter 2021
  13. Modeling the Vibrational Relaxation Rate Using Machine-Learning Methods

    Abstract

    The aim of the study is to develop an efficient algorithm for solving nonequilibrium gas-dynamics problems in the detailed state-to-state...

    M. A. Bushmakova, E. V. Kustova in Vestnik St. Petersburg University, Mathematics
    Article 01 March 2022
  14. A Machine Learning Approach To Calculating the Non-Equilibrium Diffusion Coefficients in the State-To-State Solution of the Navier–Stokes Equations

    Abstract

    This work considers the application of machine learning methods for approximate determination of diffusion coefficients that are part of...

    Pavel Kiva, Natalia Grafeeva, Elena Mikhailova in Lobachevskii Journal of Mathematics
    Article 01 January 2023
  15. Nonlinear Methods

    So far, we have exclusively considered model-free and linear models for regression, since (1) the theory is simple(er), (2) (imputation) models are...
    Chapter 2023
  16. Linear Methods: Kernels, Variations, and Averaging

    In this chapter, we describe linear methods based on kernels or averaging. Principal component analysis (PCA) is a basic method for dimension...
    Chapter 2023
  17. Distribution-free algorithms for predictive stochastic programming in the presence of streaming data

    This paper studies a fusion of concepts from stochastic programming and non-parametric statistical learning in which data is available in the form of...

    Shuotao Diao, Suvrajeet Sen in Computational Optimization and Applications
    Article Open access 22 September 2023
  18. General Considerations on Univariate Methods: Single and Multiple Imputation

    Missing or invalid values clearly affect the quality of data analysis, model results, and classification performance. However, the methods and...
    Chapter 2023
  19. Prediction of Maneuvering Status for Aerial Vehicles Using Supervised Learning Methods

    Aerial vehicles follow a guided approach based on Latitude, Longitude, and Altitude. This information can be used for calculating the status of...
    Abhishek Gupta, Sarvesh R. Thustu, ... Ronald Melvin Laban in Machine Learning and Big Data Analytics
    Conference paper 2023
  20. Jobs Runtime Forecast for JSCC RAS Supercomputers Using Machine Learning Methods

    Abstract

    The paper is devoted to machine learning methods and algorithms for the supercomputer jobs execution prediction. The supercomputers...

    G. I. Savin, B. M. Shabanov, ... P. N. Telegin in Lobachevskii Journal of Mathematics
    Article 01 December 2020
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