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We propose a massive parallel decoding GRAND framework. The framework introduces two novelties: 1. A likelihood function for $M$-QAM demodulated signals that effectively reduces the symbol error pattern space from $\mathcal{O}(5^{N/\log_2…

Information Theory · Computer Science 2024-05-06 Danilo Gligoroski , Sahana Sridhar , Katina Kralevska

We propose "Generative Fusion Decoding" (GFD), a novel shallow fusion framework designed to integrate large language models (LLMs) into cross-modal text recognition systems for automatic speech recognition (ASR) and optical character…

Computation and Language · Computer Science 2025-06-12 Chan-Jan Hsu , Yi-Chang Chen , Feng-Ting Liao , Pei-Chen Ho , Yu-Hsiang Wang , Po-Chun Hsu , Da-shan Shiu

Guessing Codeword Decoding (GCD) is a recently proposed soft-input forward error correction decoder for arbitrary binary linear codes. Inspired by recent proposals that leverage binary linear codebook structure to reduce the number of…

Information Theory · Computer Science 2024-12-23 Joseph Griffin , Peihong Yuan , Ken R. Duffy , Muriel Medard

Non-Orthogonal Multiple Access (NOMA) technology has emerged as a promising technology to enable massive connectivity and enhanced spectral efficiency in next-generation wireless networks. In this study, we propose a novel two-user downlink…

Information Theory · Computer Science 2025-12-19 Emirhan Zor , Bora Bozkurt , Ferkan Yilmaz

This paper is concerned with a guessing codeword decoding (GCD) of linear block codes. Compared with the guessing noise decoding (GND), which is only efficient for high-rate codes, the GCD is efficient for not only high-rate codes but also…

Information Theory · Computer Science 2024-05-07 Xiangping Zheng , Xiao Ma

As the first kind of forward error correction (FEC) codes that achieve channel capacity, polar codes have attracted much research interest recently. Compared with other popular FEC codes, polar codes decoded by list successive cancellation…

Signal Processing · Electrical Eng. & Systems 2018-07-02 ChenYang Xia , Ji Chen , YouZhe Fan , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

We introduce RandRAND, a new class of randomized preconditioning methods for large-scale linear systems. RandRAND deflates the spectrum via efficient orthogonal projections onto random subspaces, without computing eigenpairs or low-rank…

Numerical Analysis · Mathematics 2025-09-25 Oleg Balabanov , Caleb Ju , Kaiwen He , Aryaman Jeendgar , Michael W. Mahoney

We introduce Noise Recycling, a method that substantially enhances decoding performance of orthogonal channels subject to correlated noise without the need for joint encoding or decoding. The method can be used with any combination of…

Information Theory · Computer Science 2020-06-11 Alejandro Cohen , Amit Solomon , Ken R. Duffy , Muriel Médard

We propose a reduced complexity approach to pattern-based soft decoding of block codes. We start from the ORDEPT decoding algorithm which tests a list of partial error patterns organized in the order of their likelihood and attempts to…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Reza Hadavian , Dmitri Truhachev

We consider an approach to fault tolerant quantum computing based on a simple error detecting code operating as the substrate for a conventional surface code. We develop a customised decoder to process the information about the likely…

Quantum Physics · Physics 2019-12-11 Xiaosi Xu , Qi Zhao , Xiao Yuan , Simon C. Benjamin

In this work, by employing a bitsliced data representation as building blocks of algorithms, we showcase the capability and scalability of our proposed method in a variety of PRNG methods in the category of block and stream ciphers. While…

Cryptography and Security · Computer Science 2019-10-22 Saleh Khalaj Monfared , Omid Hajihassani , Soroush Meghdadi Zanjani , Mohammadsina Kiarostami , Dara Rahmati , Saeid Gorgin

In this work we develop the maximum likelihood detection (MLD) algorithm for noncoherent amplitude shift keying (NCASK) systems in additive white Gaussian noise (AWGN) channels. The developed algorithm was used to investigate the…

Information Theory · Computer Science 2019-11-11 Arafat Al-Dweik , Fuqin Xiong

Storage systems have a strong need for substantially improving their error correction capabilities, especially for long-term storage where the accumulating errors can exceed the decoding threshold of error-correcting codes (ECCs). In this…

Information Theory · Computer Science 2018-11-12 Pulakesh Upadhyaya , Anxiao , Jiang

Long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. But for polar codes with short and moderate code length, the decoding…

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

Speculative decoding has emerged as a promising technique to accelerate the inference of Large Language Models (LLMs) by employing a small language model to draft a hypothesis sequence, which is then validated by the LLM. The effectiveness…

Computation and Language · Computer Science 2024-07-24 Zhuocheng Gong , Jiahao Liu , Ziyue Wang , Pengfei Wu , Jingang Wang , Xunliang Cai , Dongyan Zhao , Rui Yan

We introduce a sliding window decoder based on belief propagation (BP) with guided decimation for the purposes of decoding quantum low-density parity-check codes in the presence of circuit-level noise. Windowed decoding keeps the decoding…

Quantum Physics · Physics 2024-03-29 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

While long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels when decoded by a low complexity successive cancelation (SC) algorithm, the error performance of the SC algorithm is inferior for polar…

Hardware Architecture · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

The growing gap between the increasing complexity of large language models (LLMs) and the limited computational budgets of edge devices poses a key challenge for efficient on-device inference, despite gradual improvements in hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-06 Xiangchen Li , Dimitrios Spatharakis , Saeid Ghafouri , Jiakun Fan , Hans Vandierendonck , Deepu John , Bo Ji , Dimitrios Nikolopoulos

Linear regression models contaminated by Gaussian noise (inlier) and possibly unbounded sparse outliers are common in many signal processing applications. Sparse recovery inspired robust regression (SRIRR) techniques are shown to deliver…

Machine Learning · Statistics 2018-12-26 Sreejith Kallummil , Sheetal Kalyani

In this paper, we propose an efficient decoding algorithm for short low-density parity check (LDPC) codes by carefully combining the belief propagation (BP) decoding and order statistic decoding (OSD) algorithms. Specifically, a modified BP…

Information Theory · Computer Science 2023-09-06 Weiyang Zhang , Chentao Yue , Yonghui Li , Branka Vucetic