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The library PRAND for pseudorandom number generation for modern CPUs and GPUs is presented. It contains both single-threaded and multi-threaded realizations of a number of modern and most reliable generators recently proposed and studied in…

Computational Physics · Physics 2014-02-18 L. Yu. Barash , L. N. Shchur

This paper is concerned with a search-number-reduced guessing random additive noise decoding (GRAND) algorithm for linear block codes, called partially constrained GRAND (PC-GRAND). In contrast to the original GRAND, which guesses error…

Information Theory · Computer Science 2023-08-29 Yixin Wang , Jifan Liang , Xiao Ma

Within the family of guessing-based decoding algorithms, ordered reliability bits GRAND (ORBGRAND) has attracted considerable attention due to its efficient use of soft information and suitability for hardware implementation. It has also…

Information Theory · Computer Science 2026-05-05 Zhuang Li , Wenyi Zhang

In the classic wiretap model, Alice wishes to reliably communicate to Bob without being overheard by Eve who is eavesdropping over a degraded channel. Systems for achieving that physical layer security often rely on an error correction code…

Information Theory · Computer Science 2023-04-18 Muriel Médard , Ken R. Duffy

This paper proposes to use graph neural networks (GNNs) for equalization, that can also be used to perform joint equalization and decoding (JED). For equalization, the GNN is build upon the factor graph representations of the channel, while…

Information Theory · Computer Science 2024-01-30 Jannis Clausius , Marvin Geiselhart , Daniel Tandler , Stephan ten Brink

We establish that a large, flexible class of long, high redundancy error correcting codes can be efficiently and accurately decoded with guessing random additive noise decoding (GRAND). Performance evaluation demonstrates that it is…

Information Theory · Computer Science 2025-12-18 Peihong Yuan , Muriel Medard , Kevin Galligan , Ken R. Duffy

Open-ended text generation faces a critical challenge: balancing coherence with diversity in LLM outputs. While contrastive search-based decoding strategies have emerged to address this trade-off, their practical utility is often limited by…

GRAND features both soft-input and hard-input variants that are well suited to efficient hardware implementations that can be characterized with achievable average and worst-case decoding latency. This paper introduces step-GRAND, a…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Syed Mohsin Abbas , Marwan Jalaleddine , Chi-Ying Tsui , Warren J. Gross

Speculative decoding accelerates large language model (LLM) inference by letting a lightweight draft model propose multiple tokens that the target model verifies in parallel. Yet existing training objectives optimize only a single greedy…

Computation and Language · Computer Science 2026-03-03 Shijing Hu , Jingyang Li , Zhihui Lu , Pan Zhou

Ultra-Reliable Low-Latency Communications (URLLC) in both 5G and 6G demand high throughput and short latency with low error rates. Guessing Random Additive Noise Decoding (GRAND) and Ordered Reliability Bits GRAND (ORBGRAND) are powerful…

Hardware Architecture · Computer Science 2024-07-08 Carlo Condo

This research aims to accelerate the inference speed of large language models (LLMs) with billions of parameters. We propose \textbf{S}mart \textbf{P}arallel \textbf{A}uto-\textbf{C}orrect d\textbf{E}coding (SPACE), an innovative approach…

Computation and Language · Computer Science 2024-05-21 Hanling Yi , Feng Lin , Hongbin Li , Peiyang Ning , Xiaotian Yu , Rong Xiao

We present a novel method for error correction in the presence of fading channel estimation errors (CEE). When such errors are significant, considerable performance losses can be observed if the wireless transceiver is not adapted. Instead…

Information Theory · Computer Science 2025-06-18 Charles Wiame , Ken R. Duffy , Muriel Médard

Speculative decoding accelerates Large Language Models (LLMs) inference by using a lightweight draft model to propose candidate tokens that are verified in parallel by the target model. However, existing draft model training objectives are…

Computation and Language · Computer Science 2026-05-12 Zihao An , Taichi Liu , Ziqiong Liu , Dong Li , Ruofeng Liu , Emad Barsoum

We introduce a generalized low-density parity-check decoding framework for quantum Tanner codes utilizing soft-output guessing random additive noise decoding (SOGRAND). By soft-output decoding entire component codes, we mitigate trapping…

Quantum Physics · Physics 2026-03-20 Lukas Rapp , Muriel Médard , Eugene Tang , Ken R. Duffy

Speculative decoding and quantization effectively accelerate memory-bound inference of large language models. Speculative decoding mitigates the memory bandwidth bottleneck by verifying multiple tokens within a single forward pass, which…

Computation and Language · Computer Science 2025-05-30 Yudi Zhang , Weilin Zhao , Xu Han , Tiejun Zhao , Wang Xu , Hailong Cao , Conghui Zhu

Graph neural networks (GNNs) are powerful tools on graph data. However, their predictions are mis-calibrated and lack interpretability, limiting their adoption in critical applications. To address this issue, we propose a new…

Machine Learning · Computer Science 2025-08-26 Lingkai Kong , Haotian Sun , Yuchen Zhuang , Haorui Wang , Wenhao Mu , Chao Zhang

Tree-based Genetic Programming (TGP) is a widely used evolutionary algorithm for tasks such as symbolic regression, classification, and robotic control. Due to the intensive computational demands of running TGP, GPU acceleration is crucial…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Zhihong Wu , Lishuang Wang , Kebin Sun , Zhuozhao Li , Ran Cheng

Speculative decoding is a technique to leverage hardware concurrency in order to enable multiple steps of token generation in a single forward pass, thus improving the efficiency of large-scale autoregressive (AR) Transformer models.…

Machine Learning · Computer Science 2025-10-29 Yangchao Wu , Zongyue Qin , Alex Wong , Stefano Soatto

Recently, speculative decoding (SD) has emerged as a promising technique to accelerate LLM inference by employing a small draft model to propose draft tokens in advance, and validating them in parallel with the large target model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Yuhao Shen , Junyi Shen , Quan Kong , Tianyu Liu , Yao Lu , Cong Wang

Generative approaches have been recently shown to be effective for both Entity Disambiguation and Entity Linking (i.e., joint mention detection and disambiguation). However, the previously proposed autoregressive formulation for EL suffers…

Computation and Language · Computer Science 2021-09-09 Nicola De Cao , Wilker Aziz , Ivan Titov