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This is a draft of a book about algorithms for performing arithmetic, and their implementation on modern computers. We are concerned with software more than hardware - we do not cover computer architecture or the design of computer…

Data Structures and Algorithms · Computer Science 2021-06-28 Richard P. Brent , Paul Zimmermann

Probabilistic circuits (PCs) offer a promising avenue to perform embedded reasoning under uncertainty. They support efficient and exact computation of various probabilistic inference tasks by design. Hence, hardware-efficient computation of…

Machine Learning · Computer Science 2024-05-24 Lingyun Yao , Martin Trapp , Jelin Leslin , Gaurav Singh , Peng Zhang , Karthekeyan Periasamy , Martin Andraud

Mobile computing is one of the main drivers of innovation, yet the future growth of mobile computing capabilities remains critically threatened by hardware constraints, such as the already extremely dense transistor packing and limited…

Other Computer Science · Computer Science 2019-01-28 Veljko Pejovic

We describe a modified SIMD architecture suitable for single-chip integration of a large number of processing elements, such as 1,000 or more. Important differences from traditional SIMD designs are: a) The size of the memory per processing…

Astrophysics · Physics 2007-05-23 Junichiro Makino

In this paper a novel architecture for cortical computation has been proposed. This architecture is composed of computing paths consisting of neurons and synapses only. These paths have been decomposed into lateral, longitudinal and…

Neurons and Cognition · Quantitative Biology 2007-12-12 Kaushik Majumdar

Deep neural networks are widely deployed in many fields. Due to the in-situ computation (known as processing in memory) capacity of the Resistive Random Access Memory (ReRAM) crossbar, ReRAM-based accelerator shows potential in accelerating…

Hardware Architecture · Computer Science 2024-03-11 Chenguang Zhang , Zhihang Yuan , Xingchen Li , Guangyu Sun

Digital Image Correlation (DIC) is a powerful tool used to evaluate displacements and deformations in a non-intrusive manner. By comparing two images, one of the undeformed reference state of a specimen and another of the deformed target…

Computer Vision and Pattern Recognition · Computer Science 2019-05-16 Andreas Thoma , Sridhar Ravi

Recent research on ray tracing cores has explored repurposing these cores to solve non-graphical problems by reformulating them as geometric queries, leveraging the inherent parallelism of ray tracing. Although successful in specific cases,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Enzo Meneses , Cristóbal A. Navarro , Héctor Ferrada , Konstantin Verichev , Cristian Salazar-Concha

Computed Tomography (CT) is a key 3D imaging technology that fundamentally relies on the compute-intense back-projection operation to generate 3D volumes. GPUs are typically used for back-projection in production CT devices. However, with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-28 Peng Chen , Mohamed Wahib , Xiao Wang , Shinichiro Takizawa , Takahiro Hirofuchi , Hirotaka Ogawa , Satoshi Matsuoka

The division operation is important for many areas of data processing. Especially considering today's demand for hardware accelerators for machine learning algorithms, there is a high demand for an efficient calculation of the division…

Signal Processing · Electrical Eng. & Systems 2022-09-12 Michael Lunglmayr

An architecture for a quantum computer is presented in which spins associated with donors in silicon function as qubits. Quantum operations on the spins are performed using a combination of voltages applied to gates adjacent to the spins…

Quantum Physics · Physics 2015-06-26 B. E. Kane

The present work attempts both a review of previous methods for transferring digital and symbolic computations in an analog or optical substrate and also to offer certain alternatives not yet fully explored. The essential difference from…

Signal Processing · Electrical Eng. & Systems 2019-02-21 T. E. Raptis

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments…

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Anatoli Rodionov , Andrei Chourkin

In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional…

Systems and Control · Computer Science 2015-11-25 Zhuo Li , Lu Liu , Sina Dehghan , YangQuan Chen , Dingyu Xue

In basic computational physics classes, students often raise the question of how to compute a number that exceeds the numerical limit of the machine. While technique of avoiding overflow/underflow has practical application in the electrical…

Computational Physics · Physics 2015-03-17 Chih-Yueh Wang , Chen-Yang Yin , Hong-Yu Chen , Yung-Ko Chen

Modern computing systems suffer from the dichotomy between computation on one side, which is performed only in the processor (and accelerators), and data storage/movement on the other, which all other parts of the system are dedicated to.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Onur Mutlu , Saugata Ghose , Juan Gómez-Luna , Rachata Ausavarungnirun

Embodied AI robots have the potential to fundamentally improve the way human beings live and manufacture. Continued progress in the burgeoning field of using large language models to control robots depends critically on an efficient…

Hardware Architecture · Computer Science 2025-06-10 Yiyang Huang , Yuhui Hao , Bo Yu , Feng Yan , Yuxin Yang , Feng Min , Yinhe Han , Lin Ma , Shaoshan Liu , Qiang Liu , Yiming Gan

The discrete cosine transform (DCT) is a widely-used and important signal processing tool employed in a plethora of applications. Typical fast algorithms for nearly-exact computation of DCT require floating point arithmetic, are multiplier…

Hardware Architecture · Computer Science 2017-11-01 N. Rajapaksha , A. Madanayake , R. J. Cintra , J. Adikari , V. S. Dimitrov

A scalable quantum information processing architecture based on silicon metal-oxide-semiconductor technology is presented, combining quantum hardware elements from planar and 3D silicon-on-insulator technologies. This architecture is…

Quantum Physics · Physics 2022-08-22 Michael A. Fogarty