The Cross-Entropy Method for Continuous Multi-Extremal Optimization

Article Properties
Cite
Kroese, Dirk P., et al. “The Cross-Entropy Method for Continuous Multi-Extremal Optimization”. Methodology and Computing in Applied Probability, vol. 8, no. 3, 2006, pp. 383-07, https://doi.org/10.1007/s11009-006-9753-0.
Kroese, D. P., Porotsky, S., & Rubinstein, R. Y. (2006). The Cross-Entropy Method for Continuous Multi-Extremal Optimization. Methodology and Computing in Applied Probability, 8(3), 383-407. https://doi.org/10.1007/s11009-006-9753-0
Kroese, Dirk P., Sergey Porotsky, and Reuven Y. Rubinstein. “The Cross-Entropy Method for Continuous Multi-Extremal Optimization”. Methodology and Computing in Applied Probability 8, no. 3 (2006): 383-407. https://doi.org/10.1007/s11009-006-9753-0.
1.
Kroese DP, Porotsky S, Rubinstein RY. The Cross-Entropy Method for Continuous Multi-Extremal Optimization. Methodology and Computing in Applied Probability. 2006;8(3):383-407.
Refrences
Title Journal Journal Categories Citations Publication Date
A Tutorial on the Cross-Entropy Method Annals of Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
1,247 2005
On the Convergence of the Cross-Entropy Method Annals of Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
45 2005
Ant system: optimization by a colony of cooperating agents IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 4,338 1996
Swift — a new constrained optimization technique Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
33 1975
10.1023/A:1010091220143 1999
Citations
Title Journal Journal Categories Citations Publication Date
Unsupervised tail modeling via noisy cross‐entropy minimization

Applied Stochastic Models in Business and Industry
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
2024
Cross-entropy boosted CRO-SL for optimal power flow in smart grids

Soft Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
3 2023
$${L}^{\varvec{p}}$$ optimal feedback control of homoclinic bifurcation in a forced Duffing oscillator Nonlinear Dynamics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2023
Adaptive rail transit network operations with a rollout surrogate-approximate dynamic programming approach Transportation Research Part C: Emerging Technologies
  • Technology: Engineering (General). Civil engineering (General): Transportation engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2 2023
Optimal Contracting of Transmission System Usage Combined With Subtransmission Planning via Cross-Entropy Method IEEE Transactions on Power Systems
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
2023
Citations Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)42
Science: Mathematics: Instruments and machines: Electronic computers. Computer science25
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics25
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks24
Science: Mathematics22
Technology: Mechanical engineering and machinery19
Technology: Manufactures: Production management. Operations management17
Science: Physics15
Science: Astronomy12
Technology: Chemical technology9
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials9
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods9
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware8
Science: Mathematics: Probabilities. Mathematical statistics7
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software7
Technology: Technology (General): Industrial engineering. Management engineering7
Technology: Environmental technology. Sanitary engineering5
Science: Science (General)5
Technology: Engineering (General). Civil engineering (General): Transportation engineering5
Science: Science (General): Cybernetics: Information theory5
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication5
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics5
Technology: Technology (General): Industrial engineering. Management engineering: Information technology5
Technology: Electrical engineering. Electronics. Nuclear engineering4
Science: Chemistry4
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade4
Science3
Science: Astronomy: Astrophysics3
Geography. Anthropology. Recreation: Environmental sciences2
Science: Biology (General): Ecology2
Medicine2
Science: Mathematics: Instruments and machines2
Science: Geology2
Social Sciences: Economic theory. Demography: Economics as a science2
Science: Chemistry: Analytical chemistry2
Technology2
Technology: Chemical technology: Chemical engineering2
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)2
Medicine: Internal medicine: Neoplasms. Tumors. Oncology. Including cancer and carcinogens2
Medicine: Medicine (General)2
Science: Biology (General)2
Science: Chemistry: Organic chemistry: Biochemistry2
Science: Chemistry: Physical and theoretical chemistry1
Geography. Anthropology. Recreation: Geography (General)1
Technology: Photography1
Social Sciences: Transportation and communications1
Political science: Political institutions and public administration (General)1
Technology: Motor vehicles. Aeronautics. Astronautics1
Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics1
Science: Physics: Optics. Light1
Science: Physics: Meteorology. Climatology1
Science: Physics: Geophysics. Cosmic physics1
Technology: Engineering (General). Civil engineering (General): Environmental engineering1
Technology: Engineering (General). Civil engineering (General): Engineering geology. Rock mechanics. Soil mechanics. Underground construction1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Social Sciences: Commerce: Business: Personnel management. Employment management1
Social Sciences: Commerce: Business1
Science: Physics: Heat: Thermodynamics1
Technology: Mining engineering. Metallurgy1
Science: Natural history (General): Microscopy1
Social Sciences: Industries. Land use. Labor: Industry1
The category Technology: Engineering (General). Civil engineering (General) 42 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Model Reference Adaptive Search Method for Global Optimization and was published in 2007. The most recent citation comes from a 2024 study titled Unsupervised tail modeling via noisy cross‐entropy minimization. This article reached its peak citation in 2017, with 12 citations. It has been cited in 99 different journals, 15% of which are open access. Among related journals, the Monthly Notices of the Royal Astronomical Society cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year