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High-dimensional clustering often relies on geometric or local-similarity structure, but the dominant separation between groups may not always be location-based. Differences in dispersion can create asymmetric local-neighborhood patterns:…

统计方法学 · 统计学 2026-05-15 Hao Chen , Xiancheng Lin

Convex clustering is a well-regarded clustering method, resembling the similar centroid-based approach of Lloyd's $k$-means, without requiring a predefined cluster count. It starts with each data point as its centroid and iteratively merges…

机器学习 · 统计学 2026-05-15 Shubhayan Pan , Kushal Bose , Debolina Paul , Saptarshi Chakraborty , Swagatam Das

In this work we study statistical properties of graph-based algorithms for multi-manifold clustering (MMC). In MMC the goal is to retrieve the multi-manifold structure underlying a given Euclidean data set when this one is assumed to be…

机器学习 · 计算机科学 2022-11-14 Nicolas Garcia Trillos , Pengfei He , Chenghui Li

Quantum kernels quantify similarity between data points by measuring the inner product between quantum states, computed through quantum circuit measurements. By embedding data into quantum systems, quantum kernel feature maps, that may be…

量子物理 · 物理学 2025-03-24 Joachim Tomasi , Sandrine Anthoine , Hachem Kadri

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

机器学习 · 计算机科学 2017-12-27 Rongqing Huang , Shiliang Sun

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

机器学习 · 计算机科学 2019-10-22 Yinan Yu , Tomas McKelvey

K-Nearest-Neighbors (KNN) graphs are central to many emblematic data mining and machine-learning applications. Some of the most efficient KNN graph algorithms are incremental and local: they start from a random graph, which they…

数据库 · 计算机科学 2020-10-23 George Giakkoupis , Anne-Marie Kermarrec , Olivier Ruas , François Taïani

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

数据分析、统计与概率 · 物理学 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

统计计算 · 统计学 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

Communities are of great importance for understanding graph structures in social networks. Some existing community detection algorithms use a single prototype to represent each group. In real applications, this may not adequately model the…

社会与信息网络 · 计算机科学 2015-08-26 Kuang Zhou , Arnaud Martin , Quan Pan

A plethora of multi-view subspace clustering (MVSC) methods have been proposed over the past few years. Researchers manage to boost clustering accuracy from different points of view. However, many state-of-the-art MVSC algorithms, typically…

机器学习 · 计算机科学 2019-11-22 Zhao Kang , Wangtao Zhou , Zhitong Zhao , Junming Shao , Meng Han , Zenglin Xu

The abundance of training data is not guaranteed in various supervised learning applications. One of these situations is the post-earthquake regional damage assessment of buildings. Querying the damage label of each building requires a…

机器学习 · 计算机科学 2021-08-17 Mohamadreza Sheibani , Ge Ou

When faced with learning a set of inter-related tasks from a limited amount of usable data, learning each task independently may lead to poor generalization performance. Multi-Task Learning (MTL) exploits the latent relations between tasks…

机器学习 · 计算机科学 2015-08-14 Niloofar Yousefi , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Data-target association is an important step in multi-target localization for the intelligent operation of un- manned systems in numerous applications such as search and rescue, traffic management and surveillance. The objective of this…

系统与控制 · 计算机科学 2017-05-31 Samuel Silva , Rengan Suresh , Feng Tao , Johnathan Votion , Yongcan Cao

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

机器学习 · 计算机科学 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai

Recently, neighbor-based contrastive learning has been introduced to effectively exploit neighborhood information for clustering. However, these methods rely on the homophily assumption-that connected nodes share similar class labels and…

社会与信息网络 · 计算机科学 2025-12-23 Liang Peng , Yixuan Ye , Cheng Liu , Hangjun Che , Man-Fai Leung , Si Wu , Hau-San Wong

Kernel dependence measures yield accurate estimates of nonlinear relations between random variables, and they are also endorsed with solid theoretical properties and convergence rates. Besides, the empirical estimates are easy to compute in…

机器学习 · 统计学 2016-11-03 Adrián Pérez-Suay , Gustau Camps-Valls

Multiview subspace clustering (MVSC) has attracted an increasing amount of attention in recent years. Most existing MVSC methods first collect complementary information from different views and consequently derive a consensus reconstruction…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Lai Wei , Shanshan Song

Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

统计计算 · 统计学 2021-12-21 Mario Beraha , Riccardo Corradin
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