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Interpreting the prediction mechanism of complex models is currently one of the most important tasks in the machine learning field, especially with layered neural networks, which have achieved high predictive performance with various…

Machine Learning · Statistics 2018-10-04 Chihiro Watanabe

The cluster variation method (CVM) is an approximation technique which generalizes the mean field approximation and has been widely applied in the last decades, mainly for finding accurate phase diagrams of Ising-like lattice models. Here…

High Energy Physics - Lattice · Physics 2015-06-25 Alessandro Pelizzola

Multi-view clustering (MVC) has emerged as a powerful technique for extracting valuable insights from data characterized by multiple perspectives or modalities. Despite significant advancements, existing MVC methods struggle with…

Artificial Intelligence · Computer Science 2024-12-24 Lijian Li

This paper presents a novel clustering concept that is based on jointly learned nonlinear transforms (NTs) with priors on the information loss and the discrimination. We introduce a clustering principle that is based on evaluation of a…

Machine Learning · Computer Science 2019-01-31 Dimche Kostadinov , Behrooz Razeghi , Taras Holotyak , Slava Voloshynovskiy

The clustering method based on the anchor graph has gained significant attention due to its exceptional clustering performance and ability to process large-scale data. One common approach is to learn bipartite graphs with K-connected…

Machine Learning · Computer Science 2024-10-31 Rui Wang , Jing Li , Quanxue Gao , Cheng Deng

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

Strongly Correlated Electrons · Physics 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

We address the problem of communicating domain knowledge from a user to the designer of a clustering algorithm. We propose a protocol in which the user provides a clustering of a relatively small random sample of a data set. The algorithm…

Machine Learning · Statistics 2015-06-22 Hassan Ashtiani , Shai Ben-David

Multi-view Spectral Clustering (MvSC) attracts increasing attention due to diverse data sources. However, most existing works are prohibited in out-of-sample predictions and overlook model interpretability and exploration of clustering…

Machine Learning · Computer Science 2022-07-26 Qinghua Tao , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Similar to many Machine Learning models, both accuracy and speed of the Cluster weighted models (CWMs) can be hampered by high-dimensional data, leading to previous works on a parsimonious technique to reduce the effect of "Curse of…

Machine Learning · Statistics 2022-08-03 Kehinde Olobatuyi

In this paper, we address the multi-view subspace clustering problem. Our method utilizes the circulant algebra for tensor, which is constructed by stacking the subspace representation matrices of different views and then rotating, to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Yuan Xie , Dacheng Tao , Wensheng Zhang , Lei Zhang , Yan Liu , Yanyun Qu

High-order clustering aims to identify heterogeneous substructures in multiway datasets that arise commonly in neuroimaging, genomics, social network studies, etc. The non-convex and discontinuous nature of this problem pose significant…

Methodology · Statistics 2022-10-11 Rungang Han , Yuetian Luo , Miaoyan Wang , Anru R. Zhang

Transductive Few-Shot learning has gained increased attention nowadays considering the cost of data annotations along with the increased accuracy provided by unlabelled samples in the domain of few shot. Especially in Few-Shot…

Machine Learning · Computer Science 2022-09-20 Yuqing Hu , Stéphane Pateux , Vincent Gripon

Mixture models are a standard approach to dealing with heterogeneous data with non-i.i.d. structure. However, when the dimension $p$ is large relative to sample size $n$ and where either or both of means and covariances/graphical models may…

Machine Learning · Statistics 2019-02-25 Bernd Taschler , Frank Dondelinger , Sach Mukherjee

Subset selection is an important component in evolutionary multiobjective optimization (EMO) algorithms. Clustering, as a classic method to group similar data points together, has been used for subset selection in some fields. However,…

Neural and Evolutionary Computing · Computer Science 2021-08-31 Weiyu Chen , Hisao Ishibuchi , Ke Shang

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

Machine Learning · Computer Science 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Deep learning and especially the use of Deep Neural Networks (DNNs) provides impressive results in various regression and classification tasks. However, to achieve these results, there is a high demand for computing and storing resources.…

Machine Learning · Computer Science 2021-07-21 Erion-Vasilis Pikoulis , Christos Mavrokefalidis , Aris S. Lalos

Although Transformers have successfully transitioned from their language modelling origins to image-based applications, their quadratic computational complexity remains a challenge, particularly for dense prediction. In this paper we…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Yutong Xie , Jianpeng Zhang , Yong Xia , Anton van den Hengel , Qi Wu

High-dimensional complex systems can be studied through multivariate analysis, as Principal Component Analysis, however large samples of observations frequently are needed for it. Here it is examined a method for small samples based on…

Applications · Statistics 2017-06-16 Dimitri Marques Abramov

In this article, we continue our analysis for a novel recursive modification to the Max $k$-Cut algorithm using semidefinite programming as its basis, offering an improved performance in vectorized data clustering tasks. Using a dimension…

Optimization and Control · Mathematics 2024-08-16 An Ly , Raj Sawhney , Marina Chugunova