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Inverse problems for Partial Differential Equations (PDEs) are crucial in numerous applications such as geophysics, biomedical imaging, and material science, where unknown physical properties must be inferred from indirect measurements. In…

Numerical Analysis · Mathematics 2025-11-12 Dabin Park , Sanghyun Lee , Sunghwan Moon

Mixed dimensional partial differential equations (PDEs) are equations coupling unknown fields defined over domains of differing topological dimension. Such equations naturally arise in a wide range of scientific fields including geology,…

Mathematical Software · Computer Science 2019-11-05 Cécile Daversin-Catty , Chris N. Richardson , Ada J. Ellingsrud , Marie E. Rognes

In this article we report the release of a new program for batch processing and visualization of powder diffraction data. The program, which is free-of-charge for non-commercial use and can be obtained with its detailed documentation from…

Computational Physics · Physics 2009-12-05 Taha Sochi

Physical units are fundamental to scientific computing. However, many finite element frameworks lack built-in support for dimensional analysis. In this work, we present a systematic framework for integrating physical units into the Unified…

Mathematical Software · Computer Science 2026-01-13 Michal Habera , Andreas Zilian

We introduce the concept of data-driven finite element methods. These are finite-element discretizations of partial differential equations (PDEs) that resolve quantities of interest with striking accuracy, regardless of the underlying mesh…

Numerical Analysis · Mathematics 2022-11-15 Ignacio Brevis , Ignacio Muga , Kristoffer G. van der Zee

Vision-language models (VLMs) serve as general-purpose end-to-end models in autonomous driving, performing subtasks such as prediction, planning, and perception through question-and-answer interactions. However, most existing methods rely…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Enming Zhang , Xingyuan Dai , Min Huang , Yisheng Lv , Qinghai Miao

Advances in computational chemistry have produced high-dimensional datasets on atmospherically relevant molecules. To aid exploration of such datasets, particularly for the study of atmospheric aerosol formation, we introduce PhiPlot: a…

Human-Computer Interaction · Computer Science 2026-03-13 Matias Loukojärvi , Ananth Mahadevan , Katsiaryna Haitsiukevich , Kai Puolamäki

Within research institutions like CERN (European Organization for Nuclear Research) there are often disparate databases (different in format, type and structure) that users need to access in a domain-specific manner. Users may want to…

Instrumentation and Detectors · Physics 2007-05-23 F. van Lingen , R. McClatchey , P. v/d Stok , I. Willers

This paper applies t-SNE, a visualisation technique familiar from Deep Neural Network research to argumentation graphs by applying it to the output of graph embeddings generated using several different methods. It shows that such a…

Artificial Intelligence · Computer Science 2021-07-02 Lars Malmqvist , Tommy Yuan , Suresh Manandhar

Text documents are complex high dimensional objects. To effectively visualize such data it is important to reduce its dimensionality and visualize the low dimensional embedding as a 2-D or 3-D scatter plot. In this paper we explore…

Computation and Language · Computer Science 2010-03-03 Yi Mao , Krishnakumar Balasubramanian , Guy Lebanon

This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from measurement data. To simplify the setting, we focus on a…

Numerical Analysis · Mathematics 2023-03-13 Christian Meyer , Annika Müller

One of the big challenges in Linked Data consumption is to create visual and natural language interfaces to the data usable for non-technical users. Ontodia provides support for diagrammatic data exploration, showcased in this publication…

Computation and Language · Computer Science 2019-03-05 Gerhard Wohlgenannt , Nikolay Klimov , Dmitry Mouromtsev , Daniil Razdyakonov , Dmitry Pavlov , Yury Emelyanov

As the complexity and volume of datasets have increased along with the capabilities of modular, open-source, easy-to-implement, visualization tools, scientists' need for, and appreciation of, data visualization has risen too. Until…

Instrumentation and Methods for Astrophysics · Physics 2018-05-30 Alyssa A. Goodman , Michelle A. Borkin , Thomas P. Robitaille

Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over…

Mathematical Software · Computer Science 2020-08-26 Tianjiao Sun , Lawrence Mitchell , Kaushik Kulkarni , Andreas Klöckner , David A. Ham , Paul H. J. Kelly

To accurately understand engineering drawings, it is essential to establish the correspondence between images and their description tables within the drawings. Existing document understanding methods predominantly focus on text as the main…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Chao Gu , Ke Lin , Yiyang Luo , Jiahui Hou , Xiang-Yang Li

Domain specific languages have successfully been used in a variety of fields to cleanly express scientific problems as well as to simplify implementation and performance opti- mization on different computer architectures. Although a large…

Mathematical Software · Computer Science 2016-10-11 Navjot Kukreja , Mathias Louboutin , Felippe Vieira , Fabio Luporini , Michael Lange , Gerard Gorman

Modern particle physics experiments usually rely on highly complex and large-scale spectrometer devices. In high energy physics experiments, visualization helps detector design, data quality monitoring, offline data processing, and has…

Data Analysis, Statistics and Probability · Physics 2024-07-08 Zhi-Jun Li , Ming-Kuan Yuan , Yun-Xuan Song , Yan-Gu Li , Jing-Shu Li , Sheng-Sen Sun , Xiao-Long Wang , Zheng-Yun You , Ya-Jun Mao

Model finding, as embodied by SAT solvers and similar tools, is used widely, both in embedding settings and as a tool in its own right. For instance, tools like Alloy target SAT to enable users to incrementally define, explore, verify, and…

Computation and Language · Computer Science 2024-12-05 Siddhartha Prasad , Ben Greenman , Tim Nelson , Shriram Krishnamurthi

SfePy (Simple Finite Elements in Python) is a framework for solving various kinds of problems (mechanics, physics, biology, ...) described by partial differential equations in two or three space dimensions by the finite element method. The…

Computational Engineering, Finance, and Science · Computer Science 2014-04-30 Robert Cimrman

We propose to adopt a declarative domain specific language for describing the physics algorithm of a high energy physics (HEP) analysis in a standard and unambiguous way decoupled from analysis software frameworks, and argue that this…

High Energy Physics - Phenomenology · Physics 2022-03-21 Harrison B. Prosper , Sezen Sekmen , Gokhan Unel