Science Explorer Interactive view Map

Risk and Portfolio Optimization

Risk and Portfolio Optimization is a research topic within Management Science and Operations Research. Science Explorer counts 12k research works in it since 1950. 20.8% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on robust optimization techniques for risk management and finance, including topics such as conditional value-at-risk, stochastic programming, portfolio optimization, uncertain data, coherent risk measures, and the Wasserstein metric. The papers explore methodologies and applications of robust optimization in addressing uncertainty and risk in financial decision-making.

  • Robust Optimization
  • Risk Management
  • Finance
  • Conditional Value-at-Risk
  • Stochastic Programming
  • Portfolio Optimization
  • Uncertain Data
  • Coherent Risk Measures
  • Wasserstein Metric
  • Convex Optimization
Research works
12k
fractional, since 1950
In the world top 10%
2.5k
per year above
Top-10% rate
20.8%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+8%
the tick is no change

Which countries lead Risk and Portfolio Optimization research?

By volume, China and the United States publish the most (542 and 377 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 542 works
  2. 2 United States 377 works
  3. 3 India 104 works
  4. 4 Germany 100 works
  5. 5 France 98 works
  6. 6 Italy 95 works
  7. 7 Canada 94 works
  8. 8 United Kingdom 94 works
  9. 9 Japan 51 works
  10. 10 Iran 50 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: 33.7%United States: 23.5%India: 6.5%Germany: 6.2%6 others listed: 30.1%34%largest
China542 · 33.7%United States377 · 23.5%India104 · 6.5%Germany100 · 6.2%6 others listed483 · 30.1%

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

Which institutions lead Risk and Portfolio Optimization research?

By volume in 2022–2025, Shandong University publishes the most Risk and Portfolio Optimization research, followed by University of Waterloo and Tsinghua University.

Who are the leading researchers in Risk and Portfolio Optimization?

The most-cited researchers publishing on Risk and Portfolio Optimization include Harry M. Markowitz.

  1. 1 Harry M. Markowitz United States 2.8k citations

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

Where is Risk and Portfolio Optimization research done?

The largest centres of Risk and Portfolio Optimization research in 2022–2025 are Beijing (China), Shanghai (China), Nanjing (China) and Guangzhou (China). Among places with at least 20 works in it, it is an unusually large share of all research in Hong Kong.

Largest cities, 2022–2025

  1. 1 Beijing China 94 works
  2. 2 Shanghai China 47 works
  3. 3 Nanjing China 41 works
  4. 4 Guangzhou China 36 works
  5. 5 Hong Kong China 35 works
  6. 6 Jinan China 32 works
  7. 7 London United Kingdom 28 works
  8. 8 Paris France 28 works
  9. 9 New York United States 27 works
  10. 10 Tehran Iran 25 works

Where it is the local speciality

  1. Hong KongCN · 35.2 works4.8×
← less than its size predictsmore →

Location quotient: how much more of its research is in Risk and Portfolio Optimization than the world average.

See Risk and Portfolio Optimization on the map

Where is the best place to study Risk and Portfolio Optimization?

Among universities, judged by research, University of Waterloo, Georgia Institute 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%10%20%30%mean 19.62%fractional works in this node (log) →share in the world top 10% →University of Waterloo: 18, 18.5%Georgia Institute of Technology: 14, 21.4%Hong Kong Polytechnic University: 12, 21.6%Chinese University of Hong Kong: 10, 21.3%National University of Singapore: 10, 24.2%Tsinghua University: 17, 17.4%University of Hong Kong: 9, 26.7%University of Toronto: 12, 20.9%Columbia University: 11, 14.7%Shandong University: 19, 9.5%Hong Kong Polytechni…Georgia Institute of…Chinese University o…University of Waterloo
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 University of WaterlooCanada 79.218.5%14.8×18 +49.0%
2 Georgia Institute of TechnologyUnited States 75.421.4%10.5×14 +48.3%
3 Hong Kong Polytechnic UniversityHong Kong 62.921.6%6.1×12 +22.1%
4 Chinese University of Hong KongHong Kong 59.321.3%6.7×10 +16.0%
5 National University of SingaporeSingapore 54.824.2%4.7×10 +10.9%
6 Tsinghua UniversityChina 51.317.4%3.9×17 +35.2%
7 University of Hong KongHong Kong 50.226.7%4.5×9 -18.9%
8 University of TorontoCanada 47.820.9%3.8×12 +13.2%
9 Columbia UniversityUnited States 46.114.7%6.2×11 +30.0%
10 Shandong UniversityChina 43.49.5%7.3×19 -22.1%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Risk and Portfolio Optimization research growing?

Output in 2018–2022 was 8% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Risk and Portfolio Optimization.

19801990200020102020
grewheldshrank

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

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.