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Coded distributed computing was recently introduced to mitigate the effect of stragglers on distributed computing. This paper combines ideas of approximate computing with coded computing to further accelerate computation. We propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Shahrzad Kiani , Stark C. Draper

Approximate computing trades off accuracy of results for resources such as energy or computing time. There is a large and rapidly growing literature on approximate computing that has focused mostly on showing the benefits of approximation.…

Programming Languages · Computer Science 2017-06-05 Swarnendu Biswas , Yan Pei , Donald S. Fussell , Keshav Pingali

In the multicore era, the time to computational results is increasingly determined by how quickly operands are accessed by cores, rather than by the speed of computation per operand. From high-performance computing (HPC) to mobile…

Other Computer Science · Computer Science 2013-03-21 Albert Wegener

This paper presents a Nonlinear Model Predictive Control (NMPC) scheme targeted at motion planning for mechatronic motion systems, such as drones and mobile platforms. NMPC-based motion planning typically requires low computation times to…

Robotics · Computer Science 2024-10-28 Dries Dirckx , Mathias Bos , Bastiaan Vandewal , Lander Vanroye , Wilm Decré , Jan Swevers

A multiplier, as a key component in many different applications, is a time-consuming, energy-intensive computation block. Approximate computing is a practical design paradigm that attempts to improve hardware efficacy while keeping…

Hardware Architecture · Computer Science 2023-08-16 Fereshteh Karimi , Reza Faghih Mirzaee , Ali Fakeri-Tabrizi , Arman Roohi

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

Computer Vision and Pattern Recognition · Computer Science 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

The challenge of mastering computational tasks of enormous size tends to frequently override questioning the quality of the numerical outcome in terms of accuracy. By this we do not mean the accuracy within the discrete setting, which…

Numerical Analysis · Mathematics 2019-10-17 Markus Bachmayr , Wolfgang Dahmen

In stochastic computing (SC), a real-valued number is represented by a stochastic bit stream, encoding its value in the probability of obtaining a one. This leads to a significantly lower hardware effort for various functions and provides a…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Michael Lunglmayr , Daniel Wiesinger , Werner Haselmayr

The application of current generation computing machines in safety-centric applications like implantable biomedical chips and automobile safety has immensely increased the need for reviewing the worst-case error behavior of computing…

Information Theory · Computer Science 2021-08-23 Karthikeyan Lingasubramanian , Syed M. Alam , Sanjukta Bhanja

Safety guarantees are vital in many control applications, such as robotics. Model predictive control (MPC) provides a constructive framework for controlling safety-critical systems, but is limited by its computational complexity. We address…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Abdullah Tokmak , Christian Fiedler , Melanie N. Zeilinger , Sebastian Trimpe , Johannes Köhler

Simulation-based verification algorithms can provide formal safety guarantees for nonlinear and hybrid systems. The previous algorithms rely on user provided model annotations called discrepancy function, which are crucial for computing…

Systems and Control · Computer Science 2015-02-09 Chuchu Fan , Sayan Mitra

Dedicated hardware accelerators are suitable for parallel computational tasks. Moreover, they have the tendency to accept inexact results. These hardware accelerators are extensively used in image processing and computer vision…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

With the increasing application of machine learning (ML) algorithms in embedded systems, there is a rising necessity to design low-cost computer arithmetic for these resource-constrained systems. As a result, emerging models of computation,…

Hardware Architecture · Computer Science 2024-02-21 Siva Satyendra Sahoo , Salim Ullah , Akash Kumar

Approximate computing (AC) leverages the inherent error resilience and is used in many big-data applications from various domains such as multimedia, computer vision, signal processing, and machine learning to improve systems performance…

Emerging Technologies · Computer Science 2022-05-24 Farah Ferdaus , B. M. S. Bahar Talukder , Md Tauhidur Rahman

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

Convolutional sparse coding (CSC) improves sparse coding by learning a shift-invariant dictionary from the data. However, existing CSC algorithms operate in the batch mode and are expensive, in terms of both space and time, on large…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Yaqing Wang , Quanming Yao , James T. Kwok , Lionel M. Ni

Recent advances in Model Predictive Control (MPC) leveraging a combination of first-order methods, such as the Alternating Direction Method of Multipliers (ADMM), and offline precomputation and caching of select operations, have excitingly…

Robotics · Computer Science 2025-07-08 Ishaan Mahajan , Brian Plancher

While Approximate Dynamic Programming has successfully been used in many applications involving discrete states and inputs such as playing the games of Tetris or chess, it has not been used in many continuous state and input space…

Systems and Control · Computer Science 2019-02-19 Angel Romero , Paul N. Beuchat , Yvonne R. Stürz , Roy S. Smith , John Lygeros

Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless,…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Joseph Lorenzetti , Andrew McClellan , Charbel Farhat , Marco Pavone

Arithmetic circuits, such as adders and multipliers, are fundamental components of digital systems, directly impacting the performance, power efficiency, and area footprint. However, optimizing these circuits remains challenging due to the…

Hardware Architecture · Computer Science 2025-09-17 Chenhao Xue , Kezhi Li , Jiaxing Zhang , Yi Ren , Zhengyuan Shi , Chen Zhang , Yibo Lin , Lining Zhang , Qiang Xu , Guangyu Sun