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Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

While past information technology (IT) advances have transformed society, future advances hold even greater promise. For example, we have only just begun to reap the changes from artificial intelligence (AI), especially machine learning…

Computers and Society · Computer Science 2021-01-06 Thomas M. Conte , Ian T. Foster , William Gropp , Mark D. Hill

Consumer electronics used to follow the miniaturization trend described by Moore's Law. Despite increased processing power in Microcontroller Units (MCUs), MCUs used in the smallest appliances are still not capable of running even…

Machine Learning · Computer Science 2024-10-08 Grzegorz Stefański , Paweł Daniluk , Artur Szumaczuk , Jakub Tkaczuk

Deploying neural networks on edge devices entails a careful balance between the energy required for inference and the accuracy of the resulting classification. One technique for navigating this tradeoff is approximate computing: the process…

Machine Learning · Computer Science 2025-09-18 Morteza Rezaalipour , Francesco Costa , Marco Biasion , Rodrigo Otoni , George A. Constantinides , Laura Pozzi

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

Computational Engineering, Finance, and Science · Computer Science 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially…

Hardware Architecture · Computer Science 2023-06-30 Ying Wu , Chuangtao Chen , Weihua Xiao , Xuan Wang , Chenyi Wen , Jie Han , Xunzhao Yin , Weikang Qian , Cheng Zhuo

The use of reduced and mixed precision computing has gained increasing attention in high-performance computing (HPC) as a means to improve computational efficiency, particularly on modern hardware architectures like GPUs. In this work, we…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 Bálint Siklósi , Pushpender K. Sharma , David J. Lusher , István Z. Reguly , Neil D. Sandham

We present an algorithm to perform trust-region-based optimization for nonlinear unconstrained problems. The method selectively uses function and gradient evaluations at different floating-point precisions to reduce the overall energy…

Optimization and Control · Mathematics 2022-02-18 Richard J Clancy , Matt Menickelly , Jan Hückelheim , Paul Hovland , Prani Nalluri , Rebecca Gjini

Machine Learning models are increasingly used in businesses to detect faults and anomalies in complex systems. In this work, we take this approach a step further: beyond merely detecting anomalies, we aim to identify the optimal control…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Emilio Carrizosa , Martina Fischetti , Roshell Haaker , Juan Miguel Morales

Precision tuning or customized precision number representations is emerging, in these recent years, as one of the most promising techniques that has a positive impact on the footprint of programs concerning energy consumption, bandwidth…

Software Engineering · Computer Science 2022-03-16 Dorra Ben Khalifa , Matthieu Martel

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Yushan Gao , Thomas Blumensath

Inaccurate circuits make possible the conservation of limited resources, such as energy. But effective design of such circuits requires an understanding of resulting tradeoffs between accuracy and design parameters, such as voltages and…

Numerical Analysis · Computer Science 2016-06-07 Zvi M. Kedem , Kirthi Krishna Muntimadugu

High Performance Computing is an internet based computing which makes computer infrastructure and services available to the user for research purpose. However, an important issue which needs to be resolved before High Performance Computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-13 Vivek Chalotra , Anju Bhasin , Anik Gupta , Sanjeev Singh Sambyal , Sanjay Mahajan

Many machine learning models involve solving optimization problems. Thus, it is important to deal with a large-scale optimization problem in big data applications. Recently, subsampled Newton methods have emerged to attract much attention…

Numerical Analysis · Computer Science 2020-03-24 Haishan Ye , Luo Luo , Zhihua Zhang

Classical computing is beginning to encounter fundamental limits of energy efficiency. This presents a challenge that can no longer be solved by strategies such as increasing circuit density or refining standard semiconductor processes. The…

Hardware Architecture · Computer Science 2026-04-07 Keshava Katti , Pratik Chaudhari , Deep Jariwala

Since numbers in the computer are represented with a fixed number of bits, loss of accuracy during calculation is unavoidable. At high precision where more bits (e.g. 64) are allocated to each number, round-off errors are typically small.…

Numerical Analysis · Mathematics 2022-10-11 Yizhou Chen , Xiaoyun Gong , Xiang Ji

Decades of exponential scaling in high performance computing (HPC) efficiency is coming to an end. Transistor based logic in complementary metal-oxide semiconductor (CMOS) technology is approaching physical limits beyond which further…

Machine Learning · Computer Science 2024-02-01 Fiona Knoll , John T. Daly , Jess J. Meyer

Based on the observation that application phases exhibit varying degrees of sensitivity to noise (i.e., accuracy loss) in computation during execution, this paper explores how Dynamic Precision Scaling (DPS) can maximize power efficiency by…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-20 Serif Yesil , Ismail Akturk , Ulya R. Karpuzcu

Much work has been dedicated to estimating and optimizing workloads in high-performance computing (HPC) and deep learning. However, researchers have typically relied on few metrics to assess the efficiency of those techniques. Most notably,…

Machine Learning · Computer Science 2023-10-17 Hugo Waltsburger , Erwan Libessart , Chengfang Ren , Anthony Kolar , Regis Guinvarc'h