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We consider the problem of clustering noisy high-dimensional data points into a union of low-dimensional subspaces and a set of outliers. The number of subspaces, their dimensions, and their orientations are unknown. A probabilistic…

Information Theory · Computer Science 2013-07-19 Reinhard Heckel , Helmut Bölcskei

In noisy label learning, estimating noisy class posteriors plays a fundamental role for developing consistent classifiers, as it forms the basis for estimating clean class posteriors and the transition matrix. Existing methods typically…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Rui Zhao , Bin Shi , Jianfei Ruan , Tianze Pan , Bo Dong

Note: A revised version of this is now published. Please cite and read (it's open access): Van Mechelen, I., Boulesteix, A.-L., Dangl, R., Dean, N., Hennig, C., Leisch, F., Steinley, D., Warrens, M. J. (2023). A white paper on good research…

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

Machine Learning · Statistics 2015-08-24 Reinhard Heckel , Helmut Bölcskei

Many organizations routinely analyze large datasets using systems for distributed data-parallel processing and clusters of commodity resources. Yet, users need to configure adequate resources for their data processing jobs. This requires…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-02 Lauritz Thamsen , Dominik Scheinert , Jonathan Will , Jonathan Bader , Odej Kao

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

Subspace clustering is an unsupervised clustering technique designed to cluster data that is supported on a union of linear subspaces, with each subspace defining a cluster with dimension lower than the ambient space. Many existing…

Machine Learning · Computer Science 2021-03-23 Benjamin D. Haeffele , Chong You , René Vidal

Modern data mining applications require to perform incremental clustering over dynamic datasets by tracing temporal changes over the resulting clusters. In this paper, we propose A-Posteriori affinity Propagation (APP), an incremental…

Machine Learning · Computer Science 2024-01-29 Silvana Castano , Alfio Ferrara , Stefano Montanelli , Francesco Periti

Clustered federated learning (FL) has been shown to produce promising results by grouping clients into clusters. This is especially effective in scenarios where separate groups of clients have significant differences in the distributions of…

Machine Learning · Computer Science 2022-09-22 Saeed Vahidian , Mahdi Morafah , Weijia Wang , Vyacheslav Kungurtsev , Chen Chen , Mubarak Shah , Bill Lin

Item indexing, which maps a large corpus of items into compact discrete representations, is critical for both discriminative and generative recommender systems, yet existing Vector Quantization (VQ)-based approaches struggle with the highly…

Information Retrieval · Computer Science 2026-01-29 Jing Yan , Yimeng Bai , Zongyu Liu , Yahui Liu , Junwei Wang , Jingze Huang , Haoda Li , Sihao Ding , Shaohui Ruan , Yang Zhang

Clustering is an unsupervised learning task that aims to partition data into a set of clusters. In many applications, these clusters correspond to real-world constructs (e.g. electoral districts) whose benefit can only be attained by groups…

Machine Learning · Computer Science 2023-02-09 Connor Lawless , Oktay Gunluk

A good clustering can help a data analyst to explore and understand a data set, but what constitutes a good clustering may depend on domain-specific and application-specific criteria. These criteria can be difficult to formalize, even when…

Machine Learning · Statistics 2016-06-09 Akash Srivastava , James Zou , Charles Sutton

Research in the social sciences is increasingly based on large and complex data collections, where individual data sets from different domains are linked and integrated to allow advanced analytics. A popular type of data used in such a…

Databases · Computer Science 2018-07-09 Charini Nanayakkara , Peter Christen , Thilina Ranbaduge

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

In this study, we present a novel ranking model based on learning neighborhood relationships embedded in the index space. Given a query point, conventional approximate nearest neighbor search calculates the distances to the cluster…

Information Retrieval · Computer Science 2019-05-01 Chih-Yi Chiu , Amorntip Prayoonwong , Yin-Chih Liao

The results from most machine learning experiments are used for a specific purpose and then discarded. This results in a significant loss of information and requires rerunning experiments to compare learning algorithms. This also requires…

Machine Learning · Statistics 2014-06-06 Michael R. Smith , Andrew White , Christophe Giraud-Carrier , Tony Martinez

The article contains a preliminary glance at balanced clustering problems. Basic balanced structures and combinatorial balanced problems are briefly described. A special attention is targeted to various balance/unbalance indices (including…

Data Structures and Algorithms · Computer Science 2017-06-13 Mark Sh. Levin

Tree-based priors for probability distributions are usually specified using a predetermined, data-independent collection of candidate recursive partitions of the sample space. To characterize an unknown target density in detail over the…

Methodology · Statistics 2025-04-14 Li Ma , Benedetta Bruni

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

Efficient utilization of computing resources in a Kubernetes cluster is often constrained by the uneven distribution of pods with similar usage patterns. This paper presents a novel scheduling strategy designed to optimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Paritosh Ranjan , Surajit Majumder , Prodip Roy , Bhuban Padhan
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