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In this work, a rationalized algorithm for calculating the quotient of two quaternions is presented which reduces the number of underlying real multiplications. Hardware for fast multiplication is much more expensive than hardware for fast…

Signal Processing · Electrical Eng. & Systems 2020-09-02 Aleksandr Cariow , Galina Cariowa

Factorization and multiplication of dense matrices and tensors are critical, yet extremely expensive pieces of the scientific toolbox. Careful use of low rank approximation can drastically reduce the computation and memory requirements of…

Performance · Computer Science 2023-11-15 Sameer Deshmukh , Rio Yokota , George Bosilca

As the complexity of digital circuits increases, High-Level Synthesis (HLS) is becoming a valuable tool to increase productivity and design reuse by utilizing relevant Electronic Design Automation (EDA) flows, either for…

Cryptography and Security · Computer Science 2023-12-12 Amalia Artemis Koufopoulou , Kalliopi Xevgeni , Athanasios Papadimitriou , Mihalis Psarakis , David Hely

Sparse coding is a class of unsupervised methods for learning a sparse representation of the input data in the form of a linear combination of a dictionary and a sparse code. This learning framework has led to state-of-the-art results in…

Machine Learning · Computer Science 2021-09-01 Ye Xue , Vincent Lau , Songfu Cai

Efficient block encoding of many-body Hamiltonians is a central requirement for quantum algorithms in scientific computing, particularly in the early fault-tolerant era. In this work, we introduce new explicit constructions for block…

Quantum Physics · Physics 2025-10-13 Diyi Liu , Shuchen Zhu , Guang Hao Low , Lin Lin , Chao Yang

An efficient decoding algorithm named `divided decoder' is proposed in this paper. Divided decoding can be combined with any decoder using QR-decomposition and offers different pairs of performance and complexity. Divided decoding provides…

Information Theory · Computer Science 2009-01-23 In Sook Park

Specialized Deep Learning (DL) acceleration stacks, designed for a specific set of frameworks, model architectures, operators, and data types, offer the allure of high performance while sacrificing flexibility. Changes in algorithms,…

Many research works have been performed on implementation of Vitrerbi decoding algorithm on GPU instead of FPGA because this platform provides considerable flexibility in addition to great performance. Recently, the recently-introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Alireza Mohammadidoost , Matin Hashemi

Matrix-vector multiplication is a fundamental building block in neural networks, vector databases, and large language models, particularly during inference. As a result, efficient matrix-vector multiplication engines directly translate into…

Data Structures and Algorithms · Computer Science 2026-03-31 Mohsen Dehghankar , Abolfazl Asudeh

This work introduces the Primitive Vector Cipher (PVC), a novel hybrid encryption scheme integrating matrix-based cryptography with advanced Diffie-Hellman key exchange. PVC's security is grounded on the established hardness of the Vector…

Cryptography and Security · Computer Science 2025-12-05 Gülçin ÇİVİ BİLİR

RISC-V CPUs leverage the RVV (RISC-V Vector) extension to accelerate data-parallel workloads. In addition to arithmetic operations, RVV includes powerful permutation instructions that enable flexible element rearrangement within vector…

Hardware Architecture · Computer Science 2025-06-02 Vasileios Titopoulos , George Alexakis , Chrysostomos Nicopoulos , Giorgos Dimitrakopoulos

Scaling the size of monolithic quantum computer systems is a difficult task. As the number of qubits within a device increases, a number of factors contribute to decreases in yield and performance. To meet this challenge, distributed…

Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field multiplier is regarded as the bottleneck arithmetic unit for such applications and it is the most complicated operation over finite field…

Information Theory · Computer Science 2023-09-15 Saeideh Nabipour , Gholamreza Zare Fatin , Javad Javidan

Block matrix structure is commonly arising is various physics and engineering applications. There are various advantages in preserving the blocks structure while computing the inversion of such partitioned matrices. In this context, using…

Numerical Analysis · Mathematics 2023-11-22 R. Thiru Senthil

In this paper we represent a new framework for integrated distributed and reliable systems. In the proposed framework we have used three parts to increase Satisfaction and Performance of this framework. At first we analyze previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Mehdi Zekriyapanah Gashti

Efficient multi-party secure matrix multiplication is crucial for privacy-preserving machine learning, but existing mixed-protocol frameworks often face challenges in balancing security, efficiency, and accuracy. This paper presents an…

Cryptography and Security · Computer Science 2025-10-28 Shizhao Peng , Tianrui Liu , Tianle Tao , Derun Zhao , Hao Sheng , Haogang Zhu

Spatial dataflow architectures such as reconfigurable dataflow accelerators (RDA) can provide much higher performance and efficiency than CPUs and GPUs. In particular, vectorized reconfigurable dataflow accelerators (vRDA) in recent…

Hardware Architecture · Computer Science 2024-02-01 Alexander Rucker , Shiv Sundram , Coleman Smith , Matthew Vilim , Raghu Prabhakar , Fredrik Kjolstad , Kunle Olukotun

As FPGAs gain popularity for on-demand application acceleration in data center computing, dynamic partial reconfiguration (DPR) has become an effective fine-grained sharing technique for FPGA multiplexing. However, current FPGA sharing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Jianfeng Gu , Hao Wang , Xiaorang Guo , Martin Schulz , Michael Gerndt

In 2022, Neela and Kavitha proposed an improved RSA encryption algorithm (IREA) for cloud environment. In this paper, we review and comment on the correctness of the IREA technique. We prove that the private key generation in the proposed…

Cryptography and Security · Computer Science 2023-11-27 Chebrolu Deepak Kumar , Lilly Kumari Biswas , Srijanee Mookherji , Gowri Raghavendra Narayan Kurmala , Vanga Odelu

We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

Information Theory · Computer Science 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes
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