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Complex systems are described with high-dimensional data that is hard to visualise. Inselberg's parallel coordinates are one representation technique for visualising high-dimensional data. Here we generalise Inselberg's approach, and use it…

Data Analysis, Statistics and Probability · Physics 2019-05-22 Susan Stepney

High-entropy alloys (HEAs) have attracted extensive interest due to their exceptional mechanical properties and the vast compositional space for new HEAs. However, understanding their novel physical mechanisms and then using these…

Materials Science · Physics 2022-09-08 Xianglin Liu , Jiaxin Zhang , Zongrui Pei

An open source symbolic tool for vector fields analysis 'SymFields' is developed in Python. The SymFields module is constructed upon Python symbolic module sympy, which could only conduct scaler field analysis. With SymFields module, you…

Symbolic Computation · Computer Science 2020-12-22 Nan Chu

Hamilton's equations are fundamental for modeling complex physical systems, where preserving key properties such as energy and momentum is crucial for reliable long-term simulations. Geometric integrators are widely used for this purpose,…

Machine Learning · Computer Science 2026-03-17 Priscilla Canizares , Davide Murari , Carola-Bibiane Schönlieb , Ferdia Sherry , Zakhar Shumaylov

Highly polarized components of pulse profiles are investigated by analyzing observational data and simulating the emission processes. The highly polarized components appear at the leading or trailing part of a pulse profile, which…

High Energy Astrophysical Phenomena · Physics 2016-08-29 P. F. Wang , J. L. Han

In an introductory course on dynamical systems or Hamiltonian mechanics, vector field diagrams are a central tool to show a system's qualitative behaviour in a certain domain. Because of their low sampling rates and the involved issues of…

Physics Education · Physics 2015-03-25 Thomas Müller , Filip Sadlo

Phase diagrams (PDs) illustrate the relative stability of competing phases under varying conditions, serving as critical tools for synthesizing complex materials. Reliable phase diagrams rely on precise free energy calculations, which are…

Materials Science · Physics 2026-02-09 Feng Zhang , Zhuo Ye , Maxim Moraru , Ying Wai Li , Weiyi Xia , Yongxin Yao , Cai-Zhuang Wang

On the premise that amorphous-HEA composites could demonstrate high toughness and resistance to embrittlement akin to the phase separating glassy-solid solution composites, we develop a thermodynamics based approach to identify chemical…

Materials Science · Physics 2020-06-23 Nikhil Rai , Priyabrata Das , Srikant Gollapudi

There is intense interest in uncovering design rules that govern the formation of various structural phases as a function of chemical composition in multi-principal element alloys (MPEAs). In this paper, we develop a machine learning (ML)…

Materials Science · Physics 2022-06-22 Kyungtae Lee , Mukil Ayyasamy , Paige Delsa , Timothy Q. Hartnett , Prasanna V. Balachandran

We have built an integrated computational platform for material properties at extreme conditions, ProME (Professional Materials at Extremes) v1.0, which enables integrated calculations for multicomponent alloys, covering high temperatures…

The capabilities of multi-antenna technology have recently been significantly enhanced by the proliferation of extra large array architectures. The high dimensionality of these systems implies that communications take place in the nearfield…

Information Theory · Computer Science 2024-12-11 Xavier Mestre , Adrian Agustin , David Sarda

We describe MPSE: a Multi-Perspective Simultaneous Embedding method for visualizing high-dimensional data, based on multiple pairwise distances between the data points. Specifically, MPSE computes positions for the points in 3D and provides…

Data Structures and Algorithms · Computer Science 2020-08-07 Md Iqbal Hossain , Vahan Huroyan , Stephen Kobourov , Raymundo Navarrete

In material research, structural characterization often requires multiple complementary techniques to obtain a holistic morphological view of the synthesized material. Depending on the availability of and accessibility of the different…

Soft Condensed Matter · Physics 2023-05-29 Shizhao Lu , Arthi Jayaraman

High-dimensional transfer function design is widely used to provide appropriate data classification for direct volume rendering of various datasets. However, its design is a complicated task. Parallel coordinate plot (PCP), as a powerful…

Graphics · Computer Science 2013-11-05 Xin Zhao

We introduce continuous indexed points for improved multivariate volume visualization. Indexed points represent linear structures in parallel coordinates and can be used to encode local correlation of multivariate (including multifield,…

Graphics · Computer Science 2025-06-25 Liang Zhou , Xinyi Gou , Daniel Weiskopf

Voxels are a geometric representation used for rendering volumes, multi-resolution models, and indirect lighting effects. Since the memory consumption of uncompressed voxel volumes scales cubically with resolution, past works have…

Graphics · Computer Science 2024-10-21 Russel Arbore , Jeffrey Liu , Aidan Wefel , Steven Gao , Eric Shaffer

Symplectic maps can provide a straightforward and accurate way to visualize and quantify the dynamics of conservative systems with two degrees of freedom. These maps can be easily iterated from the simplest computers to obtain trajectories…

Chaotic Dynamics · Physics 2023-01-18 Felipe G. Souza , Gabriel C. Grime , Iberê L. Caldas

The use of machine learning interatomic potentials (MLIPs) in simulations of materials is a state-of-the-art approach, which allows achieving nearly \textit{ab initio} accuracy with orders of magnitude less computational cost.…

Materials Science · Physics 2021-10-28 R. E. Ryltsev , N. M. Chtchelkatchev

We develop a new approach to determining LJ-EAM potentials for alloys and use these to determine the solid-liquid phase diagrams for binary metallic alloys using Kofke's Gibbs-Duhem integration technique combined with semigrand canonical…

Materials Science · Physics 2013-05-29 H. -S. Nam , M. I. Mendelev , D. J. Srolovitz

Polymers are a versatile class of materials with widespread industrial applications. Advanced computational tools could revolutionize their design, but their complex, multi-scale nature poses significant modeling challenges. Conventional…