---
title: "k-means clustering: formula and 23 recent papers"
description: "k-means clustering was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/k-means-clustering
markdown_url: https://scholar4ai.com/equations/k-means-clustering.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "k-means clustering was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:52:47+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# k-means clustering

$$
\min_{C_1, \dots, C_k} \sum_{j=1}^{k} \sum_{x \in C_j} \lVert x - \mu_j \rVert^2
$$

Partitions observations into k clusters around their means.

- area: Machine learning
- 4 papers in the last 7 days
- Names searched for: k-means

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- k-means clustering was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 of the 104 equations and models mentioned.
- By journal category: AI (12), Operations Research (6), Economics (4) and Management (1).
- Most of them appeared in Neural Computing and Applications (3), Computers & Industrial Engineering (2) and Pattern Recognition (2).
- Often mentioned together with Scaled dot-product attention (Transformer) (6), Ordinary least squares (OLS) (3) and LASSO (3).
- Datasets named in the same papers: OR-Library (4), S&P 500 (2) and LinkedIn (2).
- From Oct 2023 to Sep 2026, 275 archived papers mentioned k-means clustering in their title, abstract or keywords, most of them in May 2025 (16).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 125 | 128 | 22 | 275 |

*Papers mentioning k-means clustering, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-22 | [Dynamic Picture Fuzzy Sets and Its Applications](https://doi.org/10.1007/s12559-026-10656-w) | [Cognitive Computation](https://scholar4ai.com/journals/cognitive-computation.md) | Yonghong Shen | Ministry of Education of the People's Republic of China; Minzu University of China |
| 2026-10-21 | [Leveraging Machine Learning for Profit Forecasting and Cost Optimization Using Public Financial Data](https://doi.org/10.1007/s10614-026-11455-z) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Bilal Ahmad, Abdu Salam, Mian Abdulbasit et al. | University of Peshawar; Abdul Wali Khan University Mardan; Yeungnam University; … |
| 2026-10-20 | [Urban expressway CAC and truck dedicated lane deployment strategies: accounting for capacity and driving risk](https://doi.org/10.1016/j.cie.2026.112469) | [Computers & Industrial Engineering](https://scholar4ai.com/journals/computers-industrial-engineering.md) | Guozhu Cheng, Wenzhi Wang, Zihan Yang et al. | Northeast Forestry University |
| 2026-10-20 | [Central description length (CDL) clustering validation index](https://doi.org/10.1016/j.artint.2026.104644) | [Artificial Intelligence](https://scholar4ai.com/journals/artificial-intelligence.md) | Mahdi Shamsi, Soosan Beheshti | McGill University |
| 2026-10-17 | [MonoPRIO: Adaptive prior conditioning for unified monocular 3D object detection](https://doi.org/10.1016/j.patcog.2026.115138) | [Pattern Recognition](https://scholar4ai.com/journals/pattern-recognition.md) | Leon Davies, Qinggang Meng, Mohamad Saada et al. | Loughborough University; University of Southern Denmark |
| 2026-10-10 | [Fast multi-view clustering via smooth low-rank tensor learning](https://doi.org/10.1016/j.neunet.2026.109751) | [Neural Networks](https://scholar4ai.com/journals/neural-networks.md) | Zhao Zhang, Shuguang Zhang, LU Gui-fu | Anhui Jianzhu University; Anhui Polytechnic University |
| 2026-10-06 | [Dynamic stream clustering for real-time schema profiling with DSC+](https://doi.org/10.1007/s10115-026-02889-w) | [Knowledge and Information Systems](https://scholar4ai.com/journals/knowledge-and-information-systems.md) | Chiara Forresi, Matteo Francia, Enrico Gallinucci et al. | University of Bologna |
| 2026-10-06 | [Information design in cheap talk](https://doi.org/10.1007/s00199-026-01752-x) | [Economic Theory](https://scholar4ai.com/journals/economic-theory.md) | QIANJUN LYU, Wing C. Suen | Universidad Carlos III de Madrid; University of Hong Kong |
| 2026-10-06 | [Do digitalization and institutional capacity improve EU fund management for bridging territorial gaps? Evidence from the 2014–2020 Cohesion Policy](https://doi.org/10.1007/s00168-026-01562-y) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | Benedetta Coluccia, Valentina Cattivelli, Roberta Barbieri | Pegaso University; University of Salento |
| 2026-10-06 | [A variable smoothing for weakly convex composite minimization with manifold constraint via parametrization](https://doi.org/10.1007/s10589-026-00830-z) | [Computational Optimization and Applications](https://scholar4ai.com/journals/computational-optimization-and-applications.md) | Keita Kume, Isao Yamada | Tokyo Institute of Technology |
| 2026-10-04 | [Navigating the human-centric shift: A typology of workforce readiness for industry 5.0](https://doi.org/10.1016/j.cie.2026.112433) | [Computers & Industrial Engineering](https://scholar4ai.com/journals/computers-industrial-engineering.md) | Greta Braun, Johan Stahre | Chalmers University of Technology |
| 2026-10-03 | [StoryReasoning dataset: Using chain-of-thought for scene understanding and grounded story generation](https://doi.org/10.1016/j.patcog.2026.115061) | [Pattern Recognition](https://scholar4ai.com/journals/pattern-recognition.md) | Daniel A. P. Oliveira, David Martins de Matos | Instituto de Engenharia de Sistemas e Computadores Investigação e Desenvolvimento; University of Lisbon; Instituto Superior Técnico |
| 2026-10-01 | [PH-K-means clustering analysis and empirical investigation of artificial intelligence development levels: Evidence from Chinese provinces](https://doi.org/10.1016/j.eap.2026.10.061) | [Economic Analysis and Policy](https://scholar4ai.com/journals/economic-analysis-and-policy.md) | Jiaqi Dai, Guangkuo Gao |  |
| 2026-10-01 | [CDGAT: A conditioned diffusion-based graph attention network for spatio-temporal prediction](https://doi.org/10.1007/s00521-026-12618-7) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Angelo Casolaro, Massimiliano Giordano Orsini, Vincenzo Capone et al. | Parthenope University of Naples |
| 2026-10-01 | [A Synergistic approach: blockchain-integrated machine learning based intrusion detection system for improving wireless network security](https://doi.org/10.1007/s00521-026-12503-3) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Walaa M. Elsayed | Damanhour University |
| 2026-10-01 | [Household energy consumption patterns in Morocco’s energy transition: a clustering framework using enhanced fractional probabilistic self-organizing maps](https://doi.org/10.1007/s00521-026-12528-8) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Safaa Safouan, Karim El Moutaouakil | Sidi Mohamed Ben Abdellah University |
| 2026-10-01 | [ARCHEX: explaining models through archetypal decomposition for discovering complementary patterns in model interpretability](https://doi.org/10.1007/s10489-026-07506-5) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Abraham Itzhak Weinberg |  |
| 2026-10-01 | [A clustering-based framework for preference inference in inverse multiobjective optimization](https://doi.org/10.1016/j.omega.2026.103675) | [Omega](https://scholar4ai.com/journals/omega.md) | Emilio Carrizosa, Nuria Gómez-Vargas, Veronica Piccialli | Universidad de Sevilla; Sapienza University of Rome |
| 2026-10-01 | [Finding green start-ups at scale: Automating selection through Natural Language Processing algorithms](https://doi.org/10.1016/j.techfore.2026.124897) | [Technological Forecasting and Social Change](https://scholar4ai.com/journals/technological-forecasting-and-social-change.md) | Stefano Bianchini, Alessandra Colombelli, Baptiste Le Masle et al. | Bureau d'Economie Théorique et Appliquée; Politecnico di Torino; Istituto Universitario di Studi Superiori di Pavia |
| 2026-10-01 | [The project scheduling interdiction problem with delay groups](https://doi.org/10.1016/j.ejor.2026.10.024) | [European Journal of Operational Research](https://scholar4ai.com/journals/european-journal-of-operational-research.md) | Fei Wu, Erik Demeulemeester, Jannik Matuschke | KU Leuven |
| 2026-10-01 | [Disciplined Biconvex Programming](https://doi.org/10.1007/s10957-026-03125-9) | [Journal of Optimization Theory and Applications](https://scholar4ai.com/journals/journal-of-optimization-theory-and-applications.md) | Hao Zhu, Joschka Boedecker | Bernstein Center for Computational Neuroscience Freiburg |
| 2026-09-30 | [From continuous sEMG signals to discrete muscle state tokens: A robust and interpretable representation framework](https://doi.org/10.1016/j.eswa.2026.134556) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Yuepeng Chen, Kaili Zheng, Ji Wu et al. | Beijing University of Posts and Telecommunications; Tsinghua University; Ningbo University; … |
| 2026-09-28 | [scDEAN: a lightweight adaptive fusion model for clustering scRNA-seq data](https://doi.org/10.1007/s10489-026-07502-9) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | Subhashis Chatterjee, Rohit Bose | Indian Institute of Technology Dhanbad |

## Cite this page

Scholar4AI. (2026). k-means clustering. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/k-means-clustering

```bibtex
@misc{scholar4ai-equations-k-means-clustering,
  author = {{Scholar4AI}},
  title = {k-means clustering},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/k-means-clustering}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).
