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Persistence diagrams have been widely recognized as a compact descriptor for characterizing multiscale topological features in data. When many datasets are available, statistical features embedded in those persistence diagrams can be…

Algebraic Topology · Mathematics 2017-07-07 Ippei Obayashi , Yasuaki Hiraoka

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

The classical method of determining the atomic structure of complex molecules by analyzing diffraction patterns is currently undergoing drastic developments. Modern techniques for producing extremely bright and coherent X-ray lasers allow a…

Biomolecules · Quantitative Biology 2015-10-12 Tomas Ekeberg , Stefan Engblom , Jing Liu

In the field of computer vision, unsupervised learning for 2D object generation has advanced rapidly in the past few years. However, 3D object generation has not garnered the same attention or success as its predecessor. To facilitate novel…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Devendra K. Jangid , Neal R. Brodnik , Amil Khan , McLean P. Echlin , Tresa M. Pollock , Sam Daly , B. S. Manjunath

The identification and classification of transitions in topological and microstructural regimes in pattern-forming processes are critical for understanding and fabricating microstructurally precise novel materials in many application…

Materials Science · Physics 2022-08-12 Marcin Abram , Keith Burghardt , Greg Ver Steeg , Aram Galstyan , Remi Dingreville

A very active area of materials research is to devise methods that use machine learning to automatically extract predictive models from existing materials data. While prior examples have demonstrated successful models for some applications,…

Materials Science · Physics 2016-08-29 Logan Ward , Ankit Agrawal , Alok Choudhary , Christopher Wolverton

In this study, we present a method of pattern mining based on network theory that enables the identification of protein structures or complexes from synthetic volume densities, without the knowledge of predefined templates or human biases…

Quantitative Methods · Quantitative Biology 2022-10-18 August George , Doo Nam Kim , Trevor Moser , Ian T. Gildea , James E. Evans , Margaret S. Cheung

Accurate grain orientation mapping is essential for understanding and optimizing the performance of polycrystalline materials, particularly in energy-related applications. Lithium nickel oxide (LiNiO$_{2}$) is a promising cathode material…

Disordered Systems and Neural Networks · Physics 2025-11-26 Sebastian Wissel , Jonas Scheunert , Aaron Dextre , Shamail Ahmed , Andreas Bayer , Kerstin Volz , Bai-Xiang Xu

The increasing ubiquity of smartphones and resurgence of VR/AR techniques, it is expected that our everyday environment may soon be decorating with objects connecting with virtual elements. Alerting to the presence of these objects is…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Liming Xu , Dave Towey , Andrew P. French , Steve Benford

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

As human-machine interaction continues to evolve, the capacity for environmental perception is becoming increasingly crucial. Integrating the two most common types of sensory data, images, and point clouds, can enhance detection accuracy.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Kai Luo , Hao Wu , Kefu Yi , Kailun Yang , Wei Hao , Rongdong Hu

Fine-grained object recognition concerns the identification of the type of an object among a large number of closely related sub-categories. Multisource data analysis, that aims to leverage the complementary spectral, spatial, and…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Gencer Sumbul , Ramazan Gokberk Cinbis , Selim Aksoy

Topo-Tomography (TT) is a synchrotron-based X-ray diffraction imaging technique used to characterize grain shape and crystal orientation in polycrystalline samples. This work aims to provide a decisive and fundamental understanding of 3D…

Computational Physics · Physics 2025-10-13 Zheheng Liu , Nicola Vigano , Henry Proudhon , Wolfgang Ludwig

Developing deep learning models that effectively learn object-centric representations, akin to human cognition, remains a challenging task. Existing approaches facilitate object discovery by representing objects as fixed-size vectors,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Aniket Didolkar , Anirudh Goyal , Yoshua Bengio

Techniques from computational topology, in particular persistent homology, are becoming increasingly relevant for data analysis. Their stable metrics permit the use of many distance-based data analysis methods, such as multidimensional…

Algebraic Topology · Mathematics 2021-01-20 Bastian Rieck , Filip Sadlo , Heike Leitte

We present a machine learning approach that leverages persistent homology to classify bacterial flagellar motors into two functional states: rotated and stalled. By embedding protein structural data into a topological framework, we extract…

Biomolecules · Quantitative Biology 2025-12-19 Zakaria Lamine , Abdelatif Hafid , Mohamed Rahouti

This paper introduces a new technique for learning probabilistic models of mass and friction distributions of unknown objects, and performing robust sliding actions by using the learned models. The proposed method is executed in two…

Robotics · Computer Science 2020-08-06 Changkyu Song , Abdeslam Boularias

Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

We present a simple and general framework for feature learning from point clouds. The key to the success of CNNs is the convolution operator that is capable of leveraging spatially-local correlation in data represented densely in grids…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Yangyan Li , Rui Bu , Mingchao Sun , Wei Wu , Xinhan Di , Baoquan Chen

Phase separation mechanisms can produce a variety of complicated and intricate microstructures, which often can be difficult to characterize in a quantitative way. In recent years, a number of novel topological metrics for microstructures…

Numerical Analysis · Mathematics 2020-05-29 Paweł Dłotko , Thomas Wanner
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