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A short survey on applications of algebraic geometry in topological data analysis.

Algebraic Geometry · Mathematics 2020-01-08 Paul Breiding

I give an overview of FORM development based on a few pilot projects, explaining how they have influenced the FORM capabilities. Next I explain what is happnening right now in the field of Open Sourcing and the FORM Forum.

High Energy Physics - Phenomenology · Physics 2011-01-04 J. A. M. Vermaseren

Computer modeling is essential to research on Advanced Accelerator Concepts (AAC), as well as to their design and operation. This paper summarizes the current status and future needs of AAC systems and reports on several key aspects of (i)…

Accelerator Physics · Physics 2021-10-27 J. -L. Vay , A. Huebl , R. Lehe , N. M. Cook , R. J. England , U. Niedermayer , P. Piot , F. Tsung , D. Winklehner

We discuss computing issues for data analysis and image reconstruction of PET-TOF medical scanner or other medical scanning devices producing large volumes of data. Service architecture based on the grid and cloud concepts for distributed…

The main goal of the project Math-Net.Ru is to collect scientific publications in Russian and Soviet mathematics journals since their foundation to today and the authors of these publications into a single database and to provide access to…

Digital Libraries · Computer Science 2014-01-29 Dmitry E. Chebukov , Alexander D. Izaak , Olga G. Misyurina , Yuri A. Pupyrev , Alexey B. Zhizhchenko

Improvements in the area of large language models have shifted towards the construction of models capable of using external tools and interpreting their outputs. These so-called web agents have the ability to interact autonomously with the…

Artificial Intelligence · Computer Science 2025-02-26 Lars Krupp , Daniel Geißler , Paul Lukowicz , Jakob Karolus

We present a pedagogical introduction to the current state of quantum computing algorithms for the simulation of classical fluids. Different strategies, along with their potential merits and liabilities, are discussed and commented on.

Computational Physics · Physics 2023-07-12 Sauro Succi , Wael Itani , Katepalli Sreenivasan , René Steijl

In this note, we present preliminary results on the use of "network calculus" for parallel processing systems, specifically MapReduce.

Performance · Computer Science 2015-02-03 G. Kesidis , B. Urgaonkar , Y. Shan , S. Kamarava , J. Liebeherr

This report details the present status of the Accelerator design for the SuperB Project. It is one of four separate progress reports that, taken collectively, describe progress made on the SuperB Project since the publication of the SuperB…

Accelerator Physics · Physics 2011-08-26 SuperB Collaboration , Maria Enrica Biagini , Pantaleo Raimondi , John Seeman

The advent of computers has allowed mathematicians to do increasingly more difficult computations that used to be practically impossible. Peer reviewers will seldom look at any code attached to a math paper, however. In this article, we…

History and Overview · Mathematics 2025-03-04 Jeroen Hanselman

In this survey article, we present interactions between algebraic geometry and computer vision, which have recently come under the header of algebraic vision. The subject has given new insights in multiple view geometry and its application…

Algebraic Geometry · Mathematics 2023-10-18 Joe Kileel , Kathlén Kohn

A summary of recent results from the T2K experiment and discussion of near future plans.

High Energy Physics - Experiment · Physics 2016-05-04 Helen O'Keeffe

This report provides an introduction to some Machine Learning tools within the most common development environments. It mainly focuses on practical problems, skipping any theoretical introduction. It is oriented to both students trying to…

Machine Learning · Computer Science 2017-03-17 Francesco Giannini , Vincenzo Laveglia , Alessandro Rossi , Dario Zanca , Andrea Zugarini

The aim of this paper is to discuss some applications of general topology in computer algorithms including modeling and simulation, and also in computer graphics and image processing. While the progress in these areas heavily depends on…

Numerical Analysis · Mathematics 2012-01-23 Rastislav Telgarsky

Driven by the visions of Internet of Things and 5G communications, the edge computing systems integrate computing, storage and network resources at the edge of the network to provide computing infrastructure, enabling developers to quickly…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-11 Fang Liu , Guoming Tang , Youhuizi Li , Zhiping Cai , Xingzhou Zhang , Tongqing Zhou

In this work we investigate the systems that implements algorithms for the planning problem in Artificial Intelligence, called planners, with especial attention to the planners based on the plan graph. We analyze the problem of comparing…

Artificial Intelligence · Computer Science 2012-10-26 João Eugenio Marynowski

The following is an outline of possible strategies in using semantic web techniques and math with regard to environmental issues. The article uses concrete examples and applications and provides partially a rather basic treatment of…

Digital Libraries · Computer Science 2012-09-11 Nadja Kutz

This paper reports on the "Learning Computational Grammars" (LCG) project, a postdoc network devoted to studying the application of machine learning techniques to grammars suitable for computational use. We were interested in a more…

We outline our first steps towards marrying two new and emerging technologies; the Virtual Observatory (e.g, AstroGrid) and the computational grid. We discuss the construction of VOTechBroker, which is a modular software tool designed to…

This overview article highlights the critical role of mathematics in artificial intelligence (AI), emphasizing that mathematics provides tools to better understand and enhance AI systems. Conversely, AI raises new problems and drives the…

Optimization and Control · Mathematics 2025-01-22 Gabriel Peyré
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