Ilya M. Sobol' | Academic Influence

Ilya M. Sobol''s AcademicInfluence.com Rankings

Ilya M. Sobol'

Mathematics

#5655

World Rank

#7951

Historical Rank

Measure Theory

#1232

World Rank

#1563

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ilya M. Sobol' Influential?

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According to Wikipedia, Ilya Meyerovich Sobol’ is a Russian mathematician, known for his work on Monte Carlo methods. His research spans several applications, from nuclear studies to astrophysics, and has contributed significantly to the field of sensitivity analysis.

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Ilya M. Sobol''s Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sensitivity Estimates for Nonlinear Mathematical Models (1993) (2501)
On the distribution of points in a cube and the approximate evaluation of integrals (1967) (2330)
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001) (955)
Uniformly distributed sequences with an additional uniform property (1976) (650)
Sensitivity Measures, ANOVA-like Techniques and the Use of Bootstrap (1997) (512)
A Primer for the Monte Carlo Method (1994) (487)
Theorems and examples on high dimensional model representation (2003) (413)
Derivative based global sensitivity measures and their link with global sensitivity indices (2009) (383)
About the use of rank transformation in sensitivity analysis of model output (1995) (342)
Estimating the approximation error when fixing unessential factors in global sensitivity analysis (2007) (328)
On the Systematic Search in a Hypercube (1979) (210)
Global Sensitivity Indices for Nonlinear Mathematical Models (2004) (144)
Construction and Comparison of High-Dimensional Sobol' Generators (2011) (141)
Global sensitivity indices for nonlinear mathematical models. Review (2005) (133)
A new derivative based importance criterion for groups of variables and its link with the global sensitivity indices (2010) (121)
Comptonization and the shaping of X-ray source spectra - Monte Carlo calculations (1983) (73)
On global sensitivity analysis of quasi-Monte Carlo algorithms (2005) (69)
Monte Carlo estimators for small sensitivity indices (2008) (62)
Quasi-Monte Carlo Methods for Numerical Integration: Comparison of Different Low Discrepancy Sequences (1996) (60)
A pseudo-random number generator for personal computers (1999) (57)
On the use of variance reducing multipliers in Monte Carlo computations of a global sensitivity index (1999) (55)
Examples of the numerical calculation of temperature waves (1963) (44)
The Monte Carlo Method (1975) (36)
One more experiment on estimating high-dimensional integrals by quasi-Monte Carlo methods (2003) (25)
Random and quasirandom sequences: Numerical estimates of uniformity of distribution (1993) (25)
The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral (2006) (17)
INTEGRATION WITH QUASIRANDOM SEQUENCES: NUMERICAL EXPERIENCE (1995) (17)
Quadrature formulae for functions of several variables satisfying a general Lipschitz condition (1990) (16)
The use of ω2-distribution for error estimation in the calculation of integrals by the Monte Carlo method (1963) (16)
Pseudo-random numbers for constructing discrete Markov chains by the Monte Carlo method☆ (1974) (15)
Quasi-random points keep their distance (2007) (11)
On Global Sensitivity Indices: Monte Carlo Estimates Affected by Random Errors (2007) (11)
A Global Search for Multicriterial Problems (1992) (10)
Quasi-Monte Carlo: A high-dimensional experiment (2014) (9)
Definition of the feasible solution set in multicriteria optimization problems with continuous, discrete, and mixed design variables (2009) (9)
The Monte Carlo Method. Popular Lectures in Mathematics. (1974) (8)
Error Estimates for the Crude Approximation of the Trade-off Curve (1997) (8)
On Periods of Pseudo-Random Sequences (1964) (8)
Effect of the multiple Compton scatterings on an x-ray emission spectrum. Calculation by the Monte Carlo method (1977) (7)
Asymmetric convergence of approximations of the Monte Carlo method (1993) (7)
A variance reducing multiplier for Monte Carlo integrations (1996) (7)
On the crude multidimensional search (1994) (7)
Determination of the extremal values of a function of several variables satisfying a generalized Lipschitz condition (1989) (6)
A limit theorem for average dimensions (2015) (5)
LXVIII. Lymphogranulomatosis and its Significance in Diagnosis of Diseases of Waldeyer's Ring (1934) (5)
Pseudo-Random Numbers for the Machine “Strela” (1958) (5)
A new measure of irregularity of distribution (1991) (5)
Convergence estimates for crude approximations of a Pareto set (2002) (5)
Location of the characteristic roots of a matrix (1973) (4)
On average dimensions of particle transport estimators (2018) (4)
Comptomization and radiation spectra of X-ray sources. Calculation of the Monte Carlo method (1980) (3)
Modelling correlated random variables (2003) (3)
An exact estimate of the error in multidimensional quadrature formulae for functions of the classes W̃1 and H̃1 (1962) (3)
A case of chronic nasal glanders (1933) (3)
On derivative-based global sensitivity criteria (2011) (3)
Erratum: On the Systematic Search in a Hypercube (1979) (3)
On variance reducing multipliers for Monte Carlo integration (2001) (3)
On the evaluation of infinite-dimensional integrals (1962) (2)
The Monte Carlo simulation of Compton scattering by relativistic electrons (1978) (2)
The use of constant density surfaces for generating multivariate random variables (1971) (2)
Probability estimate of the integration error for IIτ-NETS (1973) (2)
QMC integration errors and quasi-asymptotics (2020) (1)
Monte Carlo estimation of integral occurring in the non-linear theory of gravitational instability (1989) (1)
Quasi-Monte Carlo method for solving Fredholm equations (2019) (1)
The method of LP - search for the optimization of multiparametric and multicriterial problems in engineering design (1975) (1)
On the distribution of random ranges (1999) (1)
Monte Carlo estimation of integrals encountered in the nonlinear theory of gravitational instability (1987) (1)
Multiple compton scattering by relativistic electrons: Monte Carlo calculations of the emission spectrum (1976) (1)
Use of a computer in optimum machine design problems (1977) (1)
Weighted quadrature formulas (1978) (1)
[Allergy in the pathogenesis of polyposis of the nose and its accessory sinuses]. (1961) (0)
An integral encountered in quadrature formulae theory (1966) (0)
Evidence of Counterterrorism Effectiveness in Theory and Practice: Incremental Solutions for a Complex Problem (2023) (0)
[AGRICULTURAL TRAUMA OF THE EAR, NOSE AND THROAT, ITS TREATMENT AND PREVENTION]. (1964) (0)
A multicriterial interpretation of the method of regularizing ill-posed problems (1987) (0)
Multiple Compton scattering on relativistic electrons. Monte-Carlo computations of radiation spectra. (1976) (0)
[A pelote for fixation of the palate]. (1945) (0)
On the Solution of Peierl’s Integral Equation by the Monte Carlo Method (1960) (0)
LP-search and its use in analysis of the accuracy of control systems with acoustical models (1973) (0)
[Health resort therapy in otorhinolaryngology]. (1974) (0)
[On the method of training of correspondence-course students in otorhinolaryngology]. (1966) (0)
[Current methods of treatment of allergic and vasomotor rhinitis]. (1971) (0)
[Changes in the mucous membrane of the nose and paranasal sinuses in experimental animals under the effect of silo gas]. (1971) (0)
On the Etiology, Diagnosis and Treatment of Haemangiomata of the Oral Cavity (1933) (0)
simulating random variables (2018) (0)
functions are generalized to weighted cubature formulas. Moreover, the best order of convergence remains the same if the weight function belongs to L2, but may get worse if it belongs to L 1 (even in the one-dimensional (1978) (0)
MULTIDIMENSIONAL INTEGRALS AND THE MONTECARLO METHOD (1957) (0)
[On histological changes in gunshot trauma of the mastoid process]. (1945) (0)
[Measures increasing in efficacy of conservative treatment of chronic tonsillitis]. (1970) (0)
Letter to the editorial board (2008) (0)
[Effect of prolonged sleep therapy of hypertension on hearing]. (1955) (0)
Proscription and Group Membership in Counter-terrorism and Armed Conflict: Areas of Tensions between Criminal Law and International Humanitarian Law (2023) (0)
Modelling of one class of densities (1986) (0)
Letter to the editorial board (2008) (0)
examples of the application of the monte carlo method (2018) (0)
[Certain elements of programmed instruction of students at the Department of Otorhinolaryngology]. (1969) (0)

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What Schools Are Affiliated With Ilya M. Sobol'?

Ilya M. Sobol' is affiliated with the following schools:

Moscow State University

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