Granular-Ball Computing

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DK-GBMKKM: Dynamic Kernel-Space Granular-Ball Multiple Kernel $k$ -Means Clustering
Sep 1, 2026Xiaoyu Lian, Yuchao Zhang, Shuyin Xia +2Granular-Ball Computing K-Means
Chongqing University of Posts and Telecommunications · Chongqing Open University
Adaptive $k$ Nearest Neighbors Classifier via Granular Ball Computing
Aug 13, 2026Xiaoyu Lian, Shuyin Xia, Hongxuan He +3Granular-Ball Computing Approximate Nearest-Neighbor Search
Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Cyberspace Big Data Intelligent Security, Ministry of Education, Sichuan-Chongqing Co-construction Key Laboratory of Digital Economy Intelligence and Key Laboratory of Big Data Intelligent Computing, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China · College of Computer and Information Science, the National Center for Applied Mathematics in Chongqing, Chongqing Normal University, Chongqing 401331, China
Robust and Efficient Noisy-Label Time-Series Classification via Dynamic Time Warping Based Granular Ball Computing
Aug 12, 2026Ziqiang Li, Yun Liu, Gouhei TanakaTime-Series Classification Granular-Ball Computing
Department of Computer Science, Graduate School of Engineering, Nagoya Institute of Technology, Nagoya, 466-8555, Japan · International Research Center for Neurointelligence, The University of Tokyo, Tokyo, 113-0033, Japan. · Faculty of Information and Human Sciences, Kyoto Institute of Technology, Kyoto, 606-8585, Japan
Multi-Granularity Position Embedding of Graphs via Granular-Ball for Link Prediction
Jul 31, 2026Sen Zhao, Cheng Liu, Shuyin Xia +4Zero-Shot Link Prediction Graph Representation Learning
Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Big Data Intelligent Computing, Key Laboratory of Cyberspace Big Data Intelligent Security, Ministry of Education, School of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China · Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Big Data Intelligent Computing, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China · Chongqing Ant ConsumerFinance Co,. Ltd, Ant Group, Chongqing, 400065, China
3DGBGS: 3D Granular Ball Gaussian Splatting for Compact Novel View Synthesis
Jul 29, 2026Meng Yang, Shuyin Xia, Dawei Dai +1Novel View Synthesis 3D Generation
Chongqing University of Posts and Telecommunications, Chongqing, China · Chongqing Ant Consumer Finance Co., Ltd., Chongqing, China
Towards Faithful Graph Explanations with Synergistic Edge Effects via Granular Balls
Jul 23, 2026Jiancu Chen, Shuyin Xia, Guan Wang +2Graph Neural Networks Subgraphs
Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Big Data Intelligent Computing, Key Laboratory of Cyberspace Big Data Intelligent Security, Ministry of Education, School of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, China · School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, China
Efficient Time Series Clustering from Multiscale Reservoir Dynamics with Granular-Ball Anchoring Graph Optimization
Jun 10, 2026Yifan Wang, Lifeng Shen, Shuyin Xia +1Granular-Ball Computing Time Series
Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Cyberspace Big Data Intelligent Security, Ministry of Education, Sichuan-Chongqing Co-construction Key Laboratory of Digital Economy Intelligence and Key Laboratory of Big Data Intelligent Computing, College of Computer Science and Technology, Chongqing University of Posts and Telecommunications · Chongqing Ant Consumer Finance Co,. Ltd, Ant Group.
Minimum Description Length based Granular-Ball Tree Regularization for Spectral Clustering
May 21, 2026Zeqiang Xian, Caihui Liu, Yong Zhang +1Granular-Ball Computing Clustering
Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, Jiangxi, China · Key Laboratory of Data Science and Artificial Intelligence of Jiangxi Education Institutes, Gannan Normal University, Ganzhou 341000, Jiangxi, China
A Boundary-Aware Non-parametric Granular-Ball Classifier Based on Minimum Description Length
May 12, 2026Zeqiang Xian, Caihui Liu, Yong Zhang +3Granular-Ball Computing Classifier
Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, Jiangxi, China · Key Laboratory of Data Science and Artificial Intelligence of Jiangxi Education Institutes, Gannan Normal University, Ganzhou 341000, Jiangxi, China · Department of Computer Science and Technology, Tongji University, 201804 Shanghai, China +1
MDL-GBG: A Non-parametric and Interpretable Granular-Ball Generation Method for Clustering
May 9, 2026Zeqiang Xian, Caihui Liu, Yong Zhang +3Granular-Ball Computing Clustering
Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, Jiangxi, China · Key Laboratory of Data Science and Artificial Intelligence of Jiangxi Education Institutes, Gannan Normal University, Ganzhou 341000, Jiangxi, China · Department of Computer Science and Technology, Tongji University, 201804 Shanghai, China +1
SCGNN: Semantic Consistency enhanced Graph Neural Network Guided by Granular-ball Computing
May 4, 2026Genhao Tian, Taihua Xu, Shuyin Xia +3Graph Neural Networks Granular-Ball Computing
JiangSu University of Science and Technoloy, Zhenjiang, Jiangsu, China · Chongqing University of Posts and Telecommunications, Chongqing, China · Zunyi Normal University, Zunyi, Guizhou, China
Granular-ball computing: an efficient, robust, and interpretable adaptive multi-granularity representation and computation method
Apr 21, 2023Shuyin Xia, Guoyin Wang, Xinbo Gao +2Granular-Ball Computing
Chongqing Key Laboratory of Computational Intelligence, Key Laboratory of Cyberspace Big Data Intelligent Security, Ministry of Education, and Key Laboratory of Big Data Intelligent Computing, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China · College of Computer and Information Science, the National Center for Applied Mathematics in Chongqing, Chongqing Normal University, Chongqing 401331, China

Sep 1, 2026, cs.LGJ/K move · Enter open · S save

DK-GBMKKM: Dynamic Kernel-Space Granular-Ball Multiple Kernel $k$ -Means Clustering

Xiaoyu Lian, Yuchao Zhang, Shuyin Xia, Siqi Zhong+1

Chongqing University of Posts and Telecommunications · Chongqing Open University

Granular-Ball Computing K-Means Kernel Method Spherical Latent Space

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Multiple kernel

k

-means integrates complementary nonlinear similarities by learning a combination of base kernels. Its pointwise optimization, however, is sensitive to noisy and boundary samples and repeatedly operates on sample-scale kernel matrices. Granular-ball representations organize local sample groups into mesoscopic units, but granular balls generated once in the input space may be inconsistent with the fused-kernel geometry that evolves during multiple kernel learning. We propose dynamic kernel-space granular-ball multiple kernel

k

-means (DK-GBMKKM). The method generates granular balls in the current fused kernel space and alternates kernel-weight learning with granular-ball membership updates, allowing the representation to adapt to changes in the fused-kernel geometry. A sample-size-weighted granular-ball kernel is further constructed to preserve the contributions of balls of different sizes, and its positive semidefiniteness and related equivalence properties are established. Experiments on 12 public datasets demonstrate the strong overall clustering performance of DK-GBMKKM. The code has been open-sourced for reproducibility: https://github.com/lianxiaoyu724/DK-GBMKKM.

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