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For scientific computations on a digital computer the set of real number is usually approximated by a finite set F of "floating-point" numbers. We compare the numerical accuracy possible with difference choices of F having approximately the…

Numerical Analysis · Computer Science 2010-04-21 Richard P. Brent

The widespread adoption of machine learning algorithms necessitates hardware acceleration to ensure efficient performance. This acceleration relies on custom matrix engines that operate on full or reduced-precision floating-point…

Hardware Architecture · Computer Science 2024-08-23 Kosmas Alexandridis , Christodoulos Peltekis , Dionysios Filippas , Giorgos Dimitrakopoulos

The differences between the sets in which ideal arithmetics takes place and the sets of floating point numbers are outlined. A set of classical problems in correct numerical evaluation is presented, to increase the awareness of newcomers to…

Numerical Analysis · Mathematics 2020-12-07 Vincent Lafage

For the first time in history, we are seeing a branching point in computing paradigms with the emergence of quantum processing units (QPUs). Extracting the full potential of computation and realizing quantum algorithms with a…

Quantum Physics · Physics 2022-11-29 Sergey Bravyi , Oliver Dial , Jay M. Gambetta , Dario Gil , Zaira Nazario

Recent advances in artificial intelligence (AI) and quantum computing are accelerating automation in scientific and engineering processes, fundamentally reshaping research methodologies. This perspective highlights parallels between…

Quantum Physics · Physics 2025-05-16 Tadashi Kadowaki

The recent surge in 3D data acquisition has spurred the development of geometric deep learning models for point cloud processing, boosted by the remarkable success of transformers in natural language processing. While point cloud…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Alessandro Baiocchi , Indro Spinelli , Alessandro Nicolosi , Simone Scardapane

Due to complexity of the systems and processes it addresses, the development of computational quantum physics is influenced by the progress in computing technology. Here we overview the evolution, from the late 1980s to the current year…

Quantum Physics · Physics 2020-08-21 I. Meyerov , A. Liniov , M. Ivanchenko , S. Denisov

The torrential influx of floating-point data from domains like IoT and HPC necessitates high-performance lossless compression to mitigate storage costs while preserving absolute data fidelity. Leveraging GPU parallelism for this task…

Databases · Computer Science 2025-11-12 Zheng Li , Weiyan Wang , Ruiyuan Li , Chao Chen , Xianlei Long , Linjiang Zheng , Quanqing Xu , Chuanhui Yang

This paper presents a comprehensive synthesis of major breakthroughs in artificial intelligence (AI) over the past fifteen years, integrating historical, theoretical, and technological perspectives. It identifies key inflection points in…

Artificial Intelligence · Computer Science 2025-05-23 Beyazit Bestami Yuksel , Ayse Yilmazer Metin

The advancements in the use of Internet of Things (IoT) devices is increasing continuously and generating huge amounts of data in a fast manner. Cloud computing is an important paradigm which processes and manages user data effectively.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Sukhpal Singh Gill

The computational power of High-Performance Computing (HPC) systems is constantly increasing, however, their input/output (IO) performance grows relatively slowly, and their storage capacity is also limited. This unbalance presents…

We summarise some of the key statements made at the workshop Form Follows Function at ISC High Performance 2016. The summary highlights what type of co-design the presented projects experience; often in the absence of an explicit co-design…

Mathematical Software · Computer Science 2016-07-12 Tobias Weinzierl

The next generation of particle physics experiments will face a new era of challenges in data acquisition, due to unprecedented data rates and volumes along with extreme environments and operational constraints. Harnessing this data for…

Instrumentation and Detectors · Physics 2026-03-12 Julia Gonski , Jenni Ott , Shiva Abbaszadeh , Sagar Addepalli , Matteo Cremonesi , Jennet Dickinson , Giuseppe Di Guglielmo , Erdem Yigit Ertorer , Lindsey Gray , Ryan Herbst , Christian Herwig , Tae Min Hong , Benedikt Maier , Maryam Bayat Makou , David Miller , Mark S. Neubauer , Cristián Peña , Dylan Rankin , Seon-Hee , Seo , Giordon Stark , Alexander Tapper , Audrey Corbeil Therrien , Ioannis Xiotidis , Keisuke Yoshihara , G Abarajithan , Sagar Addepalli , Nural Akchurin , Carlos Argüelles , Saptaparna Bhattacharya , Lorenzo Borella , Christian Boutan , Tom Braine , James Brau , Martin Breidenbach , Antonio Chahine , Talal Ahmed Chowdhury , Yuan-Tang Chou , Seokju Chung , Alberto Coppi , Mariarosaria D'Alfonso , Abhilasha Dave , Chance Desmet , Angela Di Fulvio , Karri DiPetrillo , Javier Duarte , Auralee Edelen , Jan Eysermans , Yongbin Feng , Emmett Forrestel , Dolores Garcia , Loredana Gastaldo , Julián García Pardiñas , Lino Gerlach , Loukas Gouskos , Katya Govorkova , Carl Grace , Christopher Grant , Philip Harris , Ciaran Hasnip , Timon Heim , Abraham Holtermann , Tae Min Hong , Gian Michele Innocenti , Koji Ishidoshiro , Miaochen Jin , Jyothisraj Johnson , Stephen Jones , Andreas Jung , Georgia Karagiorgi , Ryan Kastner , Nicholas Kamp , Doojin Kim , Kyoungchul Kong , Katie Kudela , Jelena Lalic , Bo-Cheng Lai , Yun-Tsung Lai , Tommy Lam , Jeffrey Lazar , Aobo Li , Zepeng Li , Haoyun Liu , Vladimir Lončar , Luca Macchiarulo , Christopher Madrid , Benedikt Maier , Zhenghua Ma , Prashansa Mukim , Mark S. Neubauer , Victoria Nguyen , Sungbin Oh , Isobel Ojalvo , Hideyoshi Ozaki , Simone Pagan Griso , Myeonghun Park , Christoph Paus , Santosh Parajuli , Benjamin Parpillon , Sara Pozzi , Ema Puljak , Benjamin Ramhorst , Amy Roberts , Larry Ruckman , Kate Scholberg , Sebastian Schmitt , Noah Singer , Eluned Anne Smith , Alexandre Sousa , Michael Spannowsky , Sioni Summers , Yanwen Sun , Daniel Tapia Takaki , Antonino Tumeo , Caterina Vernieri , Belina von Krosigk , Yash Vora , Linyan Wan , Michael H. L. S. Wang , Amanda Weinstein , Andy White , Simon Williams , Felix Yu

High performance computing (HPC) has driven collaborative science discovery for decades. Exascale computing platforms, currently in the design stage, will be deployed around 2022. The next generation of supercomputers is expected to utilize…

Human-Computer Interaction · Computer Science 2015-10-22 Nan-Chen Chen , Sarah S. Poon , Lavanya Ramakrishnan , Cecilia R. Aragon

Background: The construction, evolution and usage of complex artificial intelligence (AI) models demand expensive computational resources. While currently available high-performance computing environments support well this complexity, the…

Machine Learning · Computer Science 2023-05-31 Roger Creus Castanyer , Silverio Martínez-Fernández , Xavier Franch

This thesis examines a modern concept for machine numbers based on interval arithmetic called 'Unums' and compares it to IEEE 754 floating-point arithmetic, evaluating possible uses of this format where floating-point numbers are…

Numerical Analysis · Computer Science 2017-01-04 Laslo Hunhold

Deep learning's recent history has been one of achievement: from triumphing over humans in the game of Go to world-leading performance in image classification, voice recognition, translation, and other tasks. But this progress has come with…

Machine Learning · Computer Science 2022-07-28 Neil C. Thompson , Kristjan Greenewald , Keeheon Lee , Gabriel F. Manso

This paper presents an overview of the main trends in processor architecture. It starts with an analysis of the past evolution of processors and the main driving forces behind it, and then it focuses on a description of the main…

Hardware Architecture · Computer Science 2022-03-14 Antonio Gonzalez

Transformers have significantly advanced AI and machine learning through their powerful attention mechanism. However, computing attention on long sequences can become a computational bottleneck. FlashAttention mitigates this by fusing the…

Hardware Architecture · Computer Science 2026-02-10 Kosmas Alexandridis , Giorgos Dimitrakopoulos

We consider the prospect of a processor that can perform interval arithmetic at the same speed as conventional floating-point arithmetic. This makes it possible for all arithmetic to be performed with the superior security of interval…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden