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In this paper, we propose a simple, fast decoding algorithm that fosters diversity in neural generation. The algorithm modifies the standard beam search algorithm by adding an inter-sibling ranking penalty, favoring choosing hypotheses from…

Computation and Language · Computer Science 2016-12-23 Jiwei Li , Will Monroe , Dan Jurafsky

The recent emergence of Large Language Models based on the Transformer architecture has enabled dramatic advancements in the field of Natural Language Processing. However, these models have long inference latency, which limits their…

Computation and Language · Computer Science 2023-10-13 Sehoon Kim , Karttikeya Mangalam , Suhong Moon , Jitendra Malik , Michael W. Mahoney , Amir Gholami , Kurt Keutzer

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

In this paper, we propose a framework of the mutual information-maximizing (MIM) quantized decoding for low-density parity-check (LDPC) codes by using simple mappings and fixed-point additions. Our decoding method is generic in the sense…

Information Theory · Computer Science 2022-02-15 Peng Kang , Kui Cai , Xuan He , Shuangyang Li , Jinhong Yuan

Masked Diffusion Models (MDMs) significantly accelerate inference by trading off sequential determinism. However, the theoretical mechanisms governing generation order and the risks inherent in parallelization remain under-explored. In this…

Machine Learning · Computer Science 2026-02-03 Shaorong Zhang , Longxuan Yu , Rob Brekelmans , Luhan Tang , Salman Asif , Greg Ver Steeg

Efficient parallelization of Large Language Models (LLMs) with long sequences is essential but challenging due to their significant computational and memory demands, particularly stemming from communication bottlenecks in attention…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-31 Zongwu Wang , Fangxin Liu , Mingshuai Li , Li Jiang

Since the classical work of Berlekamp, McEliece and van Tilborg, it is well known that the problem of exact maximum-likelihood (ML) decoding of general linear codes is NP-hard. In this paper, we show that exact ML decoding of a classs of…

Information Theory · Computer Science 2016-11-17 Weiyu Xu , Babak Hassibi

Alternating Direction Method of Multipliers (ADMM) has recently been proposed as a potential alternative optimizer to the Stochastic Gradient Descent(SGD) for deep learning problems. This is because ADMM can solve gradient vanishing and…

Optimization and Control · Mathematics 2021-06-24 Junxiang Wang , Zheng Chai , Yue Cheng , Liang Zhao

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

For over a decade now we have been witnessing the success of {\em massive parallel computation} (MPC) frameworks, such as MapReduce, Hadoop, Dryad, or Spark. One of the reasons for their success is the fact that these frameworks are able to…

Data Structures and Algorithms · Computer Science 2018-02-02 Artur Czumaj , Jakub Łącki , Aleksander Mądry , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

LLM decoding is bottlenecked for large batches and long contexts by loading the key-value (KV) cache from high-bandwidth memory, which inflates per-token latency, while the sequential nature of decoding limits parallelism. We analyze the…

Machine Learning · Computer Science 2025-05-28 Ted Zadouri , Hubert Strauss , Tri Dao

Recent advances with large language models (LLM) illustrate their diverse capabilities. We propose a novel algorithm, staged speculative decoding, to accelerate LLM inference in small-batch, on-device scenarios. We address the low…

Artificial Intelligence · Computer Science 2023-08-10 Benjamin Spector , Chris Re

Quantum error correction (QEC) is indispensable for realizing fault-tolerant quantum computation, yet its effectiveness hinges critically on the classical decoding algorithm that interprets noisy syndrome measurements. Among all possible…

Quantum Physics · Physics 2026-05-19 Hanyan Cao , Ge Yan , Yuxuan Du , Feng Pan

A modification to 5G New Radio (NR) polar code is proposed, which improves the error correction performance with higher order modulation through probabilistic shaping. The presented scheme mainly re-uses existing hardware at the…

Information Theory · Computer Science 2018-08-29 Onurcan İşcan , Wen Xu

Neural language models (NLMs) have recently gained a renewed interest by achieving state-of-the-art performance across many natural language processing (NLP) tasks. However, NLMs are very computationally demanding largely due to the…

Computation and Language · Computer Science 2018-06-13 Minjia Zhang , Xiaodong Liu , Wenhan Wang , Jianfeng Gao , Yuxiong He

Orthogonal frequency-division multiplexing (OFDM) has been selected as the basis for the fifth-generation new radio (5G-NR) waveform developments. However, effective signal processing tools are needed for enhancing the OFDM spectrum in…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Juha Yli-Kaakinen , AlaaEddin Loulou , Toni Levanen , Kari Pajukoski , Arto Palin , Markku Renfors , Mikko Valkama

In this paper, the problem of designing a linear precoder for Multiple-Input Multiple-Output (MIMO) systems in conjunction with Quadrature Amplitude Modulation (QAM) is addressed. First, a novel and efficient methodology to evaluate the…

Information Theory · Computer Science 2016-03-10 Thomas Ketseoglou , Ender Ayanoglu

In the near future, the $5^{th}$ generation (5G) wireless systems will be established. They will consist of an integration of different techniques, including distributed antenna systems and massive multiple-input multiple-output systems,…

Information Theory · Computer Science 2017-10-17 Amaro Barreal , Camilla Hollanti

We consider practical hardware implementation of Polar decoders. To reduce latency due to the serial nature of successive cancellation (SC), existing optimizations improve parallelism with two approaches, i.e., multi-bit decision or reduced…

Information Theory · Computer Science 2018-08-07 Huazi Zhang , Jiajie Tong , Rong Li , Pengcheng Qiu , Yourui Huangfu , Chen Xu , Xianbin Wang , Jun Wang

Decoder-only transformers have become the standard architecture for large language models (LLMs) due to their strong performance. Recent studies suggest that, in pre-trained LLMs, early, middle, and late layers may serve distinct roles:…

Computation and Language · Computer Science 2025-10-15 Xuan Luo , Weizhi Wang , Xifeng Yan
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