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Machine learning is used to approximate density functionals. For the model problem of the kinetic energy of non-interacting fermions in 1d, mean absolute errors below 1 kcal/mol on test densities similar to the training set are reached with…

Computational Physics · Physics 2015-06-03 John C. Snyder , Matthias Rupp , Katja Hansen , Klaus-Robert Müller , Kieron Burke

Novel technologies and new materials are in high demand for future energy-efficient electronic devices to overcome the fundamental limitations of miniaturization of current silicon-based devices. Two-dimensional (2D) materials show…

Computational Physics · Physics 2021-12-20 Lei Shen , Jun Zhou , Tong Yang , Ming Yang , Yuan Ping Feng

Clustering real world data often faced with curse of dimensionality, where real world data often consist of many dimensions. Multidimensional data clustering evaluation can be done through a density-based approach. Density approaches based…

Databases · Computer Science 2010-12-30 Rahmat Widia Sembiring , Jasni Mohamad Zain

We present two methods for detecting patterns and clusters in high dimensional time-dependent functional data. Our methods are based on wavelet-based similarity measures, since wavelets are well suited for identifying highly discriminant…

Methodology · Statistics 2013-02-15 Anestis Antoniadis , Xavier Brossat , Jairo Cugliari , Jean-Michel Poggi

With the rapid development of online social media, online shopping sites and cyber-physical systems, heterogeneous information networks have become increasingly popular and content-rich over time. In many cases, such networks contain…

Databases · Computer Science 2012-02-01 Yizhou Sun , Charu C. Aggarwal , Jiawei Han

Density-based clustering is the most popular clustering algorithm since it can identify clusters of arbitrary shape as long as they are separated by low-density regions. However, a high-density region that is not separated by low-density…

Machine Learning · Computer Science 2025-02-17 Hao Shu

The predictive performance screening of novel compounds can significantly promote the discovery of efficient, cheap, and non-toxic thermoelectric materials. Large efforts to implement machine-learning techniques coupled to materials…

Applied Physics · Physics 2020-12-07 Patrizio Graziosi , Chathurangi Kumarasinghe , Neophytos Neophytou

Structure-property relationships in ordered materials have long been a core principle in materials design. However, the intentional introduction of disorder into materials provides structural flexibility and thus access to material…

Efficiently predicting properties of porous crystalline materials has great potential to accelerate the high throughput screening process for developing new materials, as simulations carried out using first principles model are often…

Machine Learning · Computer Science 2023-11-30 Marko Petković , Pablo Romero-Marimon , Vlado Menkovski , Sofia Calero

Swift discovery of spin-crossover materials for their potential application in quantum information devices requires techniques which enable efficient identification of suitably bistable candidates. To this end, we screened the Cambridge…

The idea underlying the modal formulation of density-based clustering is to associate groups with the regions around the modes of the probability density function underlying the data. This correspondence between clusters and dense regions…

Social and Information Networks · Computer Science 2021-01-22 Giovanna Menardi , Domenico De Stefano

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

We present the Materials Learning Algorithms (MALA) package, a scalable machine learning framework designed to accelerate density functional theory (DFT) calculations suitable for large-scale atomistic simulations. Using local descriptors…

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

We consider the unsupervised learning problem of assigning labels to unlabeled data. A naive approach is to use clustering methods, but this works well only when data is properly clustered and each cluster corresponds to an underlying…

Machine Learning · Computer Science 2013-05-02 Marthinus Christoffel du Plessis , Masashi Sugiyama

Scanning probe experiments such as scanning tunneling microscopy (STM) and atomic force microscopy (AFM) on strongly correlated electronic systems often reveal complex pattern formation on multiple length scales. By studying the universal…

Strongly Correlated Electrons · Physics 2019-04-03 L. Burzawa , Shuo Liu , E. W. Carlson

Unsupervised machine learning methods can be of great help in many traditional engineering disciplines, where huge amount of labeled data is not readily available or is extremely difficult or costly to generate. Two specific examples…

Machine Learning · Computer Science 2020-07-21 Raj Kishore , Zohar Nussinov , Kisor Kumar Sahu

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

Due to the subtle balance of intermolecular interactions that govern structure-property relations, predicting the stability of crystal structures formed from molecular building blocks is a highly non-trivial scientific problem. A…

Chemical Physics · Physics 2022-12-26 Rose K. Cersonsky , Maria Pakhnova , Edgar A. Engel , Michele Ceriotti