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The explosive demand for artificial intelligence (AI) workloads has led to a significant increase in silicon area dedicated to lower-precision computations on recent high-performance computing hardware designs. However, mixed-precision…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Aditya Kashi , Hao Lu , Wesley Brewer , David Rogers , Michael Matheson , Mallikarjun Shankar , Feiyi Wang

Major advancements in building general-purpose and customized hardware have been one of the key enablers of versatility and pervasiveness of machine learning models such as deep neural networks. To sustain this ubiquitous deployment of…

Machine Learning · Computer Science 2018-06-05 Mahdi Nazemi , Massoud Pedram

The state-of-the-art hardware platforms for training Deep Neural Networks (DNNs) are moving from traditional single precision (32-bit) computations towards 16 bits of precision -- in large part due to the high energy efficiency and smaller…

Machine Learning · Computer Science 2018-12-20 Naigang Wang , Jungwook Choi , Daniel Brand , Chia-Yu Chen , Kailash Gopalakrishnan

Efficient high-performance libraries often expose multiple tunable parameters to provide highly optimized routines. These can range from simple loop unroll factors or vector sizes all the way to algorithmic changes, given that some…

Performance · Computer Science 2022-02-22 Marco Cianfriglia , Flavio Vella , Cedric Nugteren , Anton Lokhmotov , Grigori Fursin

As the dimensions and operating voltages of computer electronics shrink to cope with consumers' demand for higher performance and lower power consumption, circuit sensitivity to soft errors increases dramatically. Recently, a new data-type…

Hardware Architecture · Computer Science 2021-01-06 Ihsen Alouani , Anouar Ben Khalifa , Farhad Merchant , Rainer Leupers

Approximate computing is being considered as a promising design paradigm to overcome the energy and performance challenges in computationally demanding applications. If the case where the accuracy can be configured, the quality level versus…

Machine Learning · Computer Science 2019-01-07 Shayan Tabatabaei Nikkhah , Mehdi Kamal , Ali Afzali-Kusha , Massoud Pedram

Convolutional Neural Networks (CNNs) have been utilised in many image and video processing applications. The convolution operator, also known as a spatial filter, is usually a linear operation, but this linearity compromises essential…

Hardware Architecture · Computer Science 2024-09-10 Nelson Campos , Eran Edirisinghe , Salva Chesnokov , Daniel Larkin

Scientific computing programs often undergo aggressive compiler optimization to achieve high performance and efficient resource utilization. While performance is critical, we also need to ensure that these optimizations are correct. In this…

Programming Languages · Computer Science 2025-09-12 Mohit Tekriwal , John Sarracino

Modern computer architectures support low-precision arithmetic, which present opportunities for the adoption of mixed-precision algorithms to achieve high computational throughput and reduce energy consumption. As a growing number of…

Computation · Statistics 2024-12-02 Sahil Bhola , Karthik Duraisamy

We devise a variable precision floating-point arithmetic by exploiting the framework provided by the Infinity Computer. This is a computational platform implementing the Infinity Arithmetic system, a positional numeral system which can…

Numerical Analysis · Mathematics 2022-03-28 Pierluigi Amodio , Luigi Brugnano , Felice Iavernaro , Francesca Mazzia

One of the major bottlenecks in high-resolution Earth Observation (EO) space systems is the downlink between the satellite and the ground. Due to hardware limitations, on-board power limitations or ground-station operation costs, there is a…

Machine Learning · Computer Science 2023-11-21 Cédric Gernigon , Silviu-Ioan Filip , Olivier Sentieys , Clément Coggiola , Mickaël Bruno

Deep neural networks have enabled progress in a wide variety of applications. Growing the size of the neural network typically results in improved accuracy. As model sizes grow, the memory and compute requirements for training these models…

Low-precision formats have proven to be an efficient way to reduce not only the memory footprint but also the hardware resources and power consumption of deep learning computations. Under this premise, the posit numerical format appears to…

Machine Learning · Computer Science 2021-05-17 Gonçalo Raposo , Pedro Tomás , Nuno Roma

Proper representation of data in graphical visualizations becomes challenging when high accuracy in data types is required, especially in those situations where the difference between double-precision floating-point and single-precision…

Graphics · Computer Science 2024-08-20 Nezihe Sozen

Our goal is to find accurate and efficient algorithms, when they exist, for evaluating rational expressions containing floating point numbers, and for computing matrix factorizations (like LU and the SVD) of matrices with rational…

Numerical Analysis · Mathematics 2025-10-20 James Demmel

Spatial approximations have been traditionally used in spatial databases to accelerate the processing of complex geometric operations. However, approximations are typically only used in a first filtering step to determine a set of candidate…

Elementary function calls are a common feature in numerical programs. While their implementions in library functions are highly optimized, their computation is nonetheless very expensive compared to plain arithmetic. Full accuracy is,…

Numerical Analysis · Computer Science 2018-11-27 Eva Darulova , Anastasia Volkova

Machine learning solutions are very popular in the field of chemoinformatics, where they have numerous applications, such as novel drug discovery or molecular property prediction. Molecular fingerprints are algorithms commonly used for…

Quantitative Methods · Quantitative Biology 2024-04-01 Michał Szafarczyk , Piotr Ludynia , Przemysław Kukla

Literate programming - the bringing together of program code and natural language narratives - has become a ubiquitous approach in the realm of data science. This methodology is appealing as well for the domain of Density Functional Theory…

The precise analysis and accurate measurement of harmonic provides a reliable scientific industrial application. However, the high-performance DSP processor is the important method of electrical harmonic analysis. Hence, in this research…

Signal Processing · Electrical Eng. & Systems 2018-06-13 Rozita Teymourzadeh , Memtode Jim , Mok Vee hong
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