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Density functional theory and its optimization algorithm are the main methods to calculate the properties in the field of materials. Although the calculation results are accurate, it costs a lot of time and money. In order to alleviate this…

Materials Science · Physics 2021-09-21 Houchen Zuo , Yongquan Jiang , Yan Yang , Jie Hu

Factor analysis or sometimes referred to as variable analysis has been extensively used in classification problems for identifying specific factors that are significant to particular classes. This type of analysis has been widely used in…

Machine Learning · Computer Science 2019-05-01 Nagdev Amruthnath , Tarun Gupta

Improving energy efficiency in industrial foundry processes is a critical challenge, as these operations are highly energy-intensive and marked by complex interdependencies among process variables. Correlation-based analyses often fail to…

Information Retrieval · Computer Science 2025-11-18 Zhipeng Ma , Bo Nørregaard Jørgensen , Zheng Grace Ma

We present an asymptotic criterion to determine the optimal number of clusters in k-means. We consider k-means as data compression, and propose to adopt the number of clusters that minimizes the estimated description length after…

Machine Learning · Statistics 2017-03-02 Hiromitsu Mizutani , Ryota Kanai

We propose a new clustering approach, called optimality-based clustering, that clusters data points based on their latent decision-making preferences. We assume that each data point is a decision generated by a decision-maker who…

Optimization and Control · Mathematics 2022-02-15 Zahed Shahmoradi , Taewoo Lee

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

The task of labeling data for training deep neural networks is daunting and tedious, requiring millions of labels to achieve the current state-of-the-art results. Such reliance on large amounts of labeled data can be relaxed by exploiting…

Machine Learning · Computer Science 2016-02-17 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

This work presents a novel variant of the Firefly Algorithm (FA) for data clustering, addressing limitations of traditional methods like K-Means that struggle with non-uniform cluster shapes, densities, and the need for pre-defining the…

Artificial Intelligence · Computer Science 2026-05-19 MKA Ariyaratne , Azwirman Gusrialdi , Yury Nikulin , Jaakko Peltonen

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

Machine Learning · Computer Science 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

We address the identification of grain-corresponding Laue reflections in energy dispersive Laue diffraction (EDLD) experiments by formulating it as a clustering problem solvable through unsupervised machine learning (ML). To achieve…

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

With the advancement of technology and reduced storage costs, individuals and organizations are tending towards the usage of electronic media for storing textual information and documents. It is time consuming for readers to retrieve…

Information Retrieval · Computer Science 2010-07-27 Yasir Safeer , Atika Mustafa , Anis Noor Ali

A new procedure for simultaneously finding the optimal cluster structure of multivariate functional objects and finding the subspace to represent the cluster structure is presented. The method is based on the $k$-means criterion for…

Methodology · Statistics 2014-02-11 Michio Yamamoto , Yoshikazu Terada

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be…

Machine Learning · Computer Science 2023-03-02 Thy Nguyen , Anamay Chaturvedi , Huy Lê Nguyen

The conversion of $\mathrm{CO_2}$ to value-added compounds is an important part of the effort to store and reuse atmospheric $\mathrm{CO_2}$ emissions. Here we focus on $\mathrm{CO_2}$ hydrogenation over so-called inverse catalysts:…

In the pursuit of sustainable manufacturing, ultra-short pulse laser micromachining stands out as a promising solution while also offering high-precision and qualitative laser processing. However, unlocking the full potential of ultra-short…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Luis Correas-Naranjo , Miguel Camacho-Sánchez , Laëtitia Launet , Milena Zuric , Valery Naranjo

The use of distributed optimization in machine learning can be motivated either by the resulting preservation of privacy or the increase in computational efficiency. On the one hand, training data might be stored across multiple devices.…

Optimization and Control · Mathematics 2023-07-26 Vassilios Yfantis , Achim Wagner , Martin Ruskowski

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

Methodology · Statistics 2017-02-10 Wei Fu , Patrick O. Perry

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

Resorbable magnesium (Mg) alloys are promising candidates for temporary medical devices due to their biodegradability and favorable mechanical properties. To accelerate the design of diluted Mg alloys for implants, we developed a…

Materials Science · Physics 2026-04-23 Vickey Nandal , Vít Beneš , Pavel Baláž , Jiří Ryjáček , Karel Tesař
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