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We study lower bounds on the worst-case error of numerical integration in tensor product spaces. As reference we use the $N$-th minimal error of linear rules that use $N$ function values. The information complexity is the minimal number $N$…

Numerical Analysis · Mathematics 2024-04-29 Erich Novak , Friedrich Pillichshammer

Deep clustering is a recent deep learning technique which combines deep learning with traditional unsupervised clustering. At the heart of deep clustering is a loss function which penalizes samples for being an outlier from their ground…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Kart-Leong Lim

Information-maximization clustering learns a probabilistic classifier in an unsupervised manner so that mutual information between feature vectors and cluster assignments is maximized. A notable advantage of this approach is that it only…

Machine Learning · Statistics 2011-12-06 Masashi Sugiyama , Makoto Yamada , Manabu Kimura , Hirotaka Hachiya

Recently, the retrieval models based on dense representations have been gradually applied in the first stage of the document retrieval tasks, showing better performance than traditional sparse vector space models. To obtain high efficiency,…

Information Retrieval · Computer Science 2021-08-20 Hongyin Tang , Xingwu Sun , Beihong Jin , Jingang Wang , Fuzheng Zhang , Wei Wu

Machine learning has become a central research area, with increasing attention devoted to explainable clustering, also known as conceptual clustering, which is a knowledge-driven unsupervised learning paradigm that partitions data into…

Artificial Intelligence · Computer Science 2026-04-15 Motaz Ben Hassine , Saïd Jabbour

Existing clustering algorithms such as K-means often need to preset parameters such as the number of categories K, and such parameters may lead to the failure to output objective and consistent clustering results. This paper introduces a…

Machine Learning · Computer Science 2022-09-15 Shaodong Deng , Long Sheng , Jiayi Nie , Fuyi Deng

Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

Machine Learning · Computer Science 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

Consider a data set collected by (individuals-features) pairs in different times. It can be represented as a tensor of three dimensions (Individuals, features and times). The tensor biclustering problem computes a subset of individuals and…

Machine Learning · Computer Science 2019-03-12 Andriantsiory Dina Faneva , Mustapha Lebbah , Hanane Azzag , Gaël Beck

Density-based clustering methods often surpass centroid-based counterparts, when addressing data with noise or arbitrary data distributions common in real-world problems. In this study, we reveal a key property intrinsic to density-based…

Machine Learning · Computer Science 2025-06-30 Oron Nir , Jay Tenenbaum , Ariel Shamir

The widespread adoption of smart meters for monitoring energy consumption has generated vast quantities of high-resolution time series data which remains underutilised. While clustering has emerged as a fundamental tool for mining smart…

Clustering is an important research topic for wireless sensor networks (WSNs). A large variety of approaches has been presented focusing on different performance metrics. Even though all of them have many practical applications, an…

Networking and Internet Architecture · Computer Science 2011-07-11 Dimitrios Amaxilatis , Ioannis Chatzigiannakis , Christos Koninis , Apostolos Pyrgelis

Noisy label learning aims to train deep neural networks using a large amount of samples with noisy labels, whose main challenge comes from how to deal with the inaccurate supervision caused by wrong labels. Existing works either take the…

Machine Learning · Computer Science 2024-04-03 Sihan Bai

Generating interpretable visualizations from complex data is a common problem in many applications. Two key ingredients for tackling this issue are clustering and representation learning. However, current methods do not yet successfully…

Machine Learning · Computer Science 2020-06-11 Laura Manduchi , Matthias Hüser , Julia Vogt , Gunnar Rätsch , Vincent Fortuin

Face clustering can provide pseudo-labels to the massive unlabeled face data and improve the performance of different face recognition models. The existing clustering methods generally aggregate the features within subgraphs that are often…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Yuan Cao , Di Jiang , Guanqun Hou , Fan Deng , Xinjia Chen , Qiang Yang

We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

There is an extensive set of methods to determine sparse sources from mixtures where the mixing coefficients are unknown. Each method involves plotting N sets of mixed data against each other in N-dimensional space. In the approach adopted…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Malcolm Woolfson

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

Machine Learning · Computer Science 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

We propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This generalizes the so- called simple update method of Jiang et…

Strongly Correlated Electrons · Physics 2011-10-20 Ling Wang , Frank Verstraete

Hybrid clustering combines partitional and hierarchical clustering for computational effectiveness and versatility in cluster shape. In such clustering, a dissimilarity measure plays a crucial role in the hierarchical merging. The…

Machine Learning · Statistics 2016-09-22 Kajsa Møllersen , Subhra S. Dhar , Fred Godtliebsen
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