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We present clustering methods for multivariate data exploiting the underlying geometry of the graphical structure between variables. As opposed to standard approaches that assume known graph structures, we first estimate the edge structure…

Methodology · Statistics 2015-09-28 Sayantan Banerjee , Rehan Akbani , Veerabhadran Baladandayuthapani

This paper presents a novel method for structural data recognition using a large number of graph models. In general, prevalent methods for structural data recognition have two shortcomings: 1) Only a single model is used to capture…

Machine Learning · Computer Science 2020-04-15 Tomo Miyazaki , Shinichiro Omachi

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Luciano da F. Costa

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

This article proposes an active learning method for high dimensional data, based on intrinsic data geometries learned through diffusion processes on graphs. Diffusion distances are used to parametrize low-dimensional structures on the…

Machine Learning · Computer Science 2019-05-31 Mauro Maggioni , James M. Murphy

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

Fully automatic cardiac segmentation can be a fast and reproducible method to extract clinical measurements from an echocardiography examination. The U-Net architecture is the current state-of-the-art deep learning architecture for medical…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Gilles Van De Vyver , Sarina Thomas , Guy Ben-Yosef , Sindre Hellum Olaisen , Håvard Dalen , Lasse Løvstakken , Erik Smistad

It is difficult to quantify structure-property relationships and to identify structural features of complex materials. The characterization of amorphous materials is especially challenging because their lack of long-range order makes it…

Soft Condensed Matter · Physics 2019-09-11 Kirk Swanson , Shubhendu Trivedi , Joshua Lequieu , Kyle Swanson , Risi Kondor

Recent advances in deep convolutional neural networks (CNNs) have motivated researchers to adapt CNNs to directly model points in 3D point clouds. Modeling local structure has been proven to be important for the success of convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Shiyi Lan , Ruichi Yu , Gang Yu , Larry S. Davis

Clustering is a fundamental learning task widely used as a first step in data analysis. For example, biologists use cluster assignments to analyze genome sequences, medical records, or images. Since downstream analysis is typically…

Machine Learning · Computer Science 2024-06-11 Jonathan Svirsky , Ofir Lindenbaum

Motivated by applications in social network community analysis, we introduce a new clustering paradigm termed motif clustering. Unlike classical clustering, motif clustering aims to minimize the number of clustering errors associated with…

Social and Information Networks · Computer Science 2017-01-31 Pan Li , Hoang Dau , Gregory Puleo , Olgica Milenkovic

Atomistic simulations have become a powerful tool in materials research due to the extremely fine spatial and temporal resolution provided by such techniques. In order to understand the fundamental principles which govern material behavior…

Materials Science · Physics 2014-08-26 Jason F. Panzarino , Timothy J. Rupert

Deep learning methods have demonstrated outstanding performances on classification and regression tasks on homogeneous data types (e.g., image, audio, and text data). However, tabular data still pose a challenge, with classic machine…

Machine Learning · Computer Science 2023-11-15 Antonio Briola , Yuanrong Wang , Silvia Bartolucci , Tomaso Aste

The Monte Carlo simulation of the dynamics of complex molecules produces trajectories with a large number of different configurations to sample configuration space. It is expected that these configurations can be classified into a small…

Computational Physics · Physics 2007-05-23 Christoph Best , Hans-Christian Hege

Using the embedded-atom method, the structure of small copper clusters on Au(111) electrodes has been investigated both by static and dynamic calculations. By varying the size of roughly circular clusters, the edge energy per atom is…

Materials Science · Physics 2007-05-23 M. G. Del Popolo , E. P. M. Leiva , W. Schmickler

We introduce structural heterogeneity, a new topological characteristic for semi-ordered materials that captures their degree of organisation at a mesoscopic level and tracks their time-evolution, ultimately detecting the order-disorder…

Subgroup discovery (SGD) is presented here as a data-mining approach to help find interpretable local patterns, correlations, and descriptors of a target property in materials-science data. Specifically, we will be concerned with data…

Materials Science · Physics 2017-02-07 B. R. Goldsmith , M. Boley , J. Vreeken , M. Scheffler , L. M. Ghiringhelli

Datasets in high-dimension do not typically form clusters in their original space; the issue is worse when the number of points in the dataset is small. We propose a low-computation method to find statistically significant clustering…

Machine Learning · Statistics 2020-08-24 Alden Bradford , Tarun Yellamraju , Mireille Boutin

The electronic structures of a variety of experimentally identified gold and silver nanoclusters from 20 to 246 atoms, either unprotected or protected by several types of ligands, are characterized by using point group specific symmetry…

Atomic and Molecular Clusters · Physics 2018-11-21 Sami Kaappa , Sami Malola , Hannu Häkkinen

Climate change has been a common interest and the forefront of crucial political discussion and decision-making for many years. Shallow clouds play a significant role in understanding the Earth's climate, but they are challenging to…

Image and Video Processing · Electrical Eng. & Systems 2021-07-13 Tashin Ahmed , Noor Hossain Nuri Sabab