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Processing-using-DRAM has been proposed for a limited set of basic operations (i.e., logic operations, addition). However, in order to enable the full adoption of processing-using-DRAM, it is necessary to provide support for more complex…

In current computer architectures, data movement (from die to network) is by far the most energy consuming part of an algorithm (10pJ/word on-die to 10,000pJ/word on the network). To increase memory locality at the hardware level and reduce…

Computational Physics · Physics 2018-01-17 H. Vincenti , R. Lehe , R. Sasanka , J-L. Vay

Calculating interactions or correlations between pairs of particles is typically the most time-consuming task in particle simulation or correlation analysis. Straightforward implementations using a double loop over particle pairs have…

Computational Physics · Physics 2015-06-16 Szilárd Páll , Berk Hess

We propose an efficient first-order method, based on the alternating direction method of multipliers (ADMM), to solve the homogeneous self-dual embedding problem for a primal-dual pair of semidefinite programs (SDPs) with chordal sparsity.…

Optimization and Control · Mathematics 2017-12-12 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

Two essential problems in Computer Algebra, namely polynomial factorization and polynomial greatest common divisor computation, can be efficiently solved thanks to multiple polynomial evaluations in two variables using modular arithmetic.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-27 Pierre Fortin , Ambroise Fleury , François Lemaire , Michael Monagan

Pseudorandom values are often generated as 64-bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly-random bounded…

Data Structures and Algorithms · Computer Science 2025-04-08 Nevin Brackett-Rozinsky , Daniel Lemire

Many problems in control theory can be formulated as semidefinite programs (SDPs). For large-scale SDPs, it is important to exploit the inherent sparsity to improve the scalability. This paper develops efficient first-order methods to solve…

Optimization and Control · Mathematics 2020-01-13 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

Tensor permutation is a fundamental operation widely applied in AI, tensor networks, and related fields. However, it is extremely complex, and different shapes and permutation maps can make a huge difference. SIMD permutation began to be…

Data Structures and Algorithms · Computer Science 2025-06-05 Yaojian Chen , Tianyu Ma , An Yang , Lin Gan , Wenlai Zhao , Guangwen Yang

An algorithm is given to factor an integer with $N$ digits in $\ln^m N$ steps, with $m$ approximately 4 or 5. Textbook quadratic sieve methods are exponentially slower. An improvement with the aid of an a particular function would provide a…

General Physics · Physics 2007-05-23 Gordon Chalmers

We address the challenges associated with deploying neural networks on CPUs, with a particular focus on minimizing inference time while maintaining accuracy. Our novel approach is to use the dataflow (i.e., computation order) of a neural…

Hardware Architecture · Computer Science 2023-11-27 Cyrus Zhou , Zack Hassman , Ruize Xu , Dhirpal Shah , Vaugnn Richard , Yanjing Li

Compute-in-memory (CIM) techniques are widely employed in energy-efficient artificial intelligent (AI) processors. They alleviate power and latency bottlenecks caused by extensive data movements between compute and storage units. To extend…

Hardware Architecture · Computer Science 2025-12-15 Jianyi Yu , Tengxiao Wang , Yuxuan Wang , Xiang Fu , Fei Qiao , Ying Wang , Rui Yuan , Liyuan Liu , Cong Shi

Zoned neutral atom architectures are emerging as a promising platform for large-scale quantum computing. Their growing scale, however, creates a critical need for efficient and automated compilation solutions. Yet, existing methods fail to…

Quantum Physics · Physics 2025-12-17 Yannick Stade , Lukas Burgholzer , Robert Wille

Huge amount of data in the form of strings are being handled in bio-computing applications and searching algorithms are quite frequently used in them. Many methods utilizing on both software and hardware are being proposed to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-31 D. Herath , C. Lakmali , R. G. Ragel

Intel includes in its recent processors a powerful set of instructions capable of processing 512-bit registers with a single instruction (AVX-512). Some of these instructions have no equivalent in earlier instruction sets. We leverage these…

Data Structures and Algorithms · Computer Science 2024-08-06 Robert Clausecker , Daniel Lemire

The majority of text is stored in UTF-8, which must be validated on ingestion. We present the lookup algorithm, which outperforms UTF-8 validation routines used in many libraries and languages by more than 10 times using commonly available…

Databases · Computer Science 2026-04-22 John Keiser , Daniel Lemire

Integer programming (IP), as the name suggests is an integer-variable-based approach commonly used to formulate real-world optimization problems with constraints. Currently, quantum algorithms reformulate the IP into an unconstrained form…

Quantum Physics · Physics 2024-07-31 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

The kernel-independent fast multipole method (KIFMM) proposed in [1] is of almost linear complexity. In the original KIFMM the time-consuming M2L translations are accelerated by FFT. However, when more equivalent points are used to achieve…

Numerical Analysis · Computer Science 2015-03-19 Yanchuang Cao , Lihua Wen , Junjie Rong

To index the increasing volume of data, modern data indexes are typically stored on SSDs and cached in DRAM. However, searching such an index has resulted in significant I/O traffic due to limited access locality and inefficient cache…

Hardware Architecture · Computer Science 2024-08-05 Yun-Chih Chen , Yuan-Hao Chang , Tei-Wei Kuo

This paper presents RevOrder, a novel technique aimed at improving arithmetic operations in large language models (LLMs) by reversing the output digits in addition, subtraction, and n-digit by 1-digit (nD by 1D) multiplication tasks. Our…

Artificial Intelligence · Computer Science 2024-02-27 Si Shen , Peijun Shen , Danhao Zhu

Recent years have seen a rapid increase in research activity in the field of DRAM-based Processing-In-Memory (PIM) accelerators, where the analog computing capability of DRAM is employed by minimally changing the inherent structure of DRAM…

Hardware Architecture · Computer Science 2023-02-16 Supreeth Mysore Shivanandamurthy , Sairam Sri Vatsavai , Ishan Thakkar , Sayed Ahmad Salehi