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Topic · Statistics, Probability and Uncertainty

Probabilistic and Robust Engineering Design

Probabilistic and Robust Engineering Design is a research topic within Statistics, Probability and Uncertainty. Science Explorer counts 47k research works in it since 1950. 9.9% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on uncertainty quantification and sensitivity analysis in complex mathematical and computational models. It explores methods such as polynomial chaos, Monte Carlo simulation, and sparse grids to assess and manage uncertainties in various engineering and scientific applications. The research also delves into topics like global sensitivity indices, reliability analysis, stochastic differential equations, and probabilistic design optimization.

  • Uncertainty Quantification
  • Sensitivity Analysis
  • Polynomial Chaos
  • Monte Carlo Simulation
  • Reliability Analysis
  • Stochastic Differential Equations
  • Global Sensitivity Indices
  • Sparse Grids
  • Latin Hypercube Sampling
  • Probabilistic Design Optimization
Research works
47k
fractional, since 1950
In the world top 10%
4.7k
per year above
Top-10% rate
9.9%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+0%
the tick is no change
Largest producer
China
40% of the 10 largest, 2022-now
Probabilistic and Robust Engineering Design

Which countries lead Probabilistic and Robust Engineering Design research?

By volume, China and the United States publish the most (2.4k and 1.3k works in 2022-now).

By volume, 2022-now

  1. 1 China 2.4k works
  2. 2 United States 1.3k works
  3. 3 Germany 467 works
  4. 4 India 424 works
  5. 5 France 326 works
  6. 6 United Kingdom 315 works
  7. 7 Italy 271 works
  8. 8 Iran 185 works
  9. 9 Saudi Arabia 167 works
  10. 10 Japan 166 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 39.6%United States: 22.1%Germany: 7.7%India: 7.0%6 others listed: 23.6%40%largest
China2,398 · 39.6%United States1,341 · 22.1%Germany467 · 7.7%India424 · 7.0%6 others listed1,430 · 23.6%

Shares of the rows listed above, not of the whole node.

Which institutions lead Probabilistic and Robust Engineering Design research?

By volume in 2022-now, Northwestern Polytechnical University publishes the most Probabilistic and Robust Engineering Design research, followed by Centre National de la Recherche Scientifique and Beihang University.

By volume, 2022-now

  1. 1 Northwestern Polytechnical UniversityChina 143 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 104 works
  3. 3 Beihang UniversityChina 91 works
  4. 4 Tongji UniversityChina 62 works
  5. 5 Dalian University of TechnologyChina 62 works
  6. 6 Sandia National LaboratoriesUnited States 44 works
  7. 7 Helmholtz Association of German Research CentresGermany 44 works
  8. 8 Nanjing University of Aeronautics and AstronauticsChina 44 works
  9. 9 Xi'an Jiaotong UniversityChina 44 works
  10. 10 Technical University of MunichGermany 40 works

Who are the leading researchers in Probabilistic and Robust Engineering Design?

The most-cited researchers publishing on Probabilistic and Robust Engineering Design include Robert John Tibshirani, Karl John Friston and Donald B. Rubin.

  1. 1 Robert John Tibshirani United States 396k citations
  2. 2 Karl John Friston United Kingdom 310k citations
  3. 3 Donald B. Rubin United States 301k citations
  4. 4 Wei Huang China 267k citations
  5. 5 Ralph B. D’Agostino United States 255k citations
  6. 6 Leo Breiman United States 243k citations
  7. 7 Peter M. Bentler United States 233k citations
  8. 8 Frede Blaabjerg Denmark 203k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Probabilistic and Robust Engineering Design?

The most cited paper in Probabilistic and Robust Engineering Design is "Influence of partially known parameter on flaw characterization in Eddy Current Testing by using a random walk MCMC method based on metamodeling" (Caifang Cai, Thomas Rodet, Marc Antoine Lambert, 2014), with 12,195 citations. Next come "Describing the uncertainties in experimental results" (9,840) and "System identification—Theory for the user" (9,234).

Most cited papers
#PaperReleasedCitations
1 Influence of partially known parameter on flaw characterization in Eddy Current Testing by using a random walk MCMC method based on metamodeling Caifang Cai, Thomas Rodet, Marc Antoine Lambert · Journal of Physics Conference Series Conference paperOpen access 21 Oct 2014 12,195
2 Describing the uncertainties in experimental results Robert J. Moffat · Experimental Thermal and Fluid Science Open access 1988 9,840
3 System identification—Theory for the user Naresh K. Sinha · Automatica May 1989 9,234
4 A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code Michael D. McKay, Richard J. Beckman, William Jay Conover · Technometrics Feb 2000 7,571
5 Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones Jos F. Sturm · Optimization methods & software 1999 7,558
All 98 most cited papers, with filters and sorting

Where is Probabilistic and Robust Engineering Design research done?

The largest centres of Probabilistic and Robust Engineering Design research in 2022-now are Beijing (China), Xi'an (China), Shanghai (China) and Nanjing (China).

Largest cities, 2022-now

  1. 1 BeijingChina 387 works
  2. 2 Xi'anChina 262 works
  3. 3 ShanghaiChina 191 works
  4. 4 NanjingChina 146 works
  5. 5 ChangshaChina 109 works
  6. 6 ParisFrance 93 works
  7. 7 WuhanChina 86 works
  8. 8 ChengduChina 85 works
  9. 9 DalianChina 79 works
  10. 10 HangzhouChina 74 works
See Probabilistic and Robust Engineering Design on the map

Where is the best place to study Probabilistic and Robust Engineering Design?

Among universities, judged by research, Tongji University, Hebei University of Technology and Hong Kong Polytechnic University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 25.45%fractional works in this field (log) →share of work in the world top 10% →ETH ZurichHebei University of …Hong Kong Polytechni…Tongji University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Tongji UniversityChina 71.725.4%5.8×62 +46.8%
2Hebei University of TechnologyChina 69.030.4%7.0×20 +58.2%
3Hong Kong Polytechnic UniversityChina 68.628.6%3.5×21 +38.0%
4ETH ZurichSwitzerland 67.633.0%5.4×26 -10.7%
5Northwestern Polytechnical UniversityChina 67.217.1%17.8×143 +1.4%
6Dalian University of TechnologyChina 66.418.5%9.2×62 +17.1%
7University of Electronic Science and Technology of ChinaChina 63.028.5%4.4×35 -1.9%
8Hong Kong University of Science and TechnologyChina 62.830.4%3.4×10 +18.2%
9Xi'an Jiaotong UniversityChina 60.621.7%3.5×44 +35.6%
10Leibniz University HannoverGermany 59.920.9%14.2×30 +28.3%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Probabilistic and Robust Engineering Design, country by country

Is Probabilistic and Robust Engineering Design research growing?

Output in 2022-2025 was 0% higher than in 2018-2021, peaking in 2023. The fastest-growing topics are Probabilistic and Robust Engineering Design.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Probabilistic and Robust Engineering Design as a percentage of every work published that year, 0.034% in 2024.

still counting0.020%0.040%0.060%Probabilistic and Robust Engineering Design0.030% in 202519801990200020102020

Fractional works of Probabilistic and Robust Engineering Design over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Probabilistic and Robust Engineering Design9.8% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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