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Speculative decoding accelerates autoregressive generation by letting draft tokens bypass full verification, but conventional frameworks suffer from frequent false rejections, particularly when draft models produce semantically correct but…

Computation and Language · Computer Science 2026-04-16 Xuwen Zhou , Fangxin Liu , Chao Wang , Xiao Zheng , Hao Zheng , Min He , Li Jiang , Haibing Guan

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

Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder displays sub-optimal performance in practice and requires very…

Quantum Physics · Physics 2021-04-21 Antoine Grospellier , Lucien Grouès , Anirudh Krishna , Anthony Leverrier

We present a novel framework for applying deep neural networks (DNN) to soft decoding of linear codes at arbitrary block lengths. Unlike other approaches, our framework allows unconstrained DNN design, enabling the free application of…

Information Theory · Computer Science 2018-02-27 Amir Bennatan , Yoni Choukroun , Pavel Kisilev

Distributed training enables large-scale deep learning, but suffers from high communication overhead, especially as models and datasets grow. Gradient compression, particularly quantization, is a promising approach to mitigate this…

Machine Learning · Computer Science 2025-07-30 Jihao Xin , Marco Canini , Peter Richtárik , Samuel Horváth

Quantum Tanner codes constitute a family of quantum low-density parity-check (LDPC) codes with good parameters, i.e., constant encoding rate and relative distance. In this article, we prove that quantum Tanner codes also facilitate…

Quantum Physics · Physics 2024-04-15 Shouzhen Gu , Eugene Tang , Libor Caha , Shin Ho Choe , Zhiyang He , Aleksander Kubica

To leverage the full potential of quantum error-correcting stabilizer codes it is crucial to have an efficient and accurate decoder. Accurate, maximum likelihood, decoders are computationally very expensive whereas decoders based on more…

Generative recommendation has emerged as a scalable alternative to traditional retrieve-and-rank pipelines by operating in a compact token space. However, existing methods mainly rely on discrete code-level supervision, which leads to…

Information Retrieval · Computer Science 2026-03-03 Ziqi Xue , Dingxian Wang , Yimeng Bai , Shuai Zhu , Jialei Li , Xiaoyan Zhao , Frank Yang , Andrew Rabinovich , Yang Zhang , Pablo N. Mendes

We propose a novel soft-aided hard-decision decoding algorithm for general product-like codes. It achieves error correcting performance similar to that of a soft-decision turbo decoder for staircase and OFEC codes, while maintaining a low…

Information Theory · Computer Science 2024-05-01 Lukas Rapp , Sisi Miao , Laurent Schmalen

Deep neural network (DNN)-based channel decoding is widely considered in the literature. The existing solutions are investigated for the case of hard output, i.e. when the decoder returns the estimated information word. At the same time,…

Information Theory · Computer Science 2024-10-28 Dmitry Artemasov , Kirill Andreev , Pavel Rybin , Alexey Frolov

Quantum Error Correction (QEC) decoding faces a fundamental accuracy-efficiency tradeoff. Classical methods like Minimum Weight Perfect Matching (MWPM) exhibit variable performance across noise models and suffer from polynomial complexity,…

Quantum Physics · Physics 2026-04-16 David Zenati , Eliya Nachmani

We propose a general framework for decoding quantum error-correcting codes with generative modeling. The model utilizes autoregressive neural networks, specifically Transformers, to learn the joint probability of logical operators and…

Quantum Physics · Physics 2023-07-19 Hanyan Cao , Feng Pan , Yijia Wang , Pan Zhang

Real-time decoding is crucial for fault-tolerant quantum computing but likely requires specialized hardware such as field-programmable gate arrays (FPGAs), whose parallelism can alter relative algorithmic performance. We analyze…

Quantum Physics · Physics 2026-01-27 Satvik Maurya , Thilo Maurer , Markus Bühler , Drew Vandeth , Michael E. Beverland

Semantic parsing is challenging due to the structure gap and the semantic gap between utterances and logical forms. In this paper, we propose an unsupervised semantic parsing method - Synchronous Semantic Decoding (SSD), which can…

Computation and Language · Computer Science 2021-06-14 Shan Wu , Bo Chen , Chunlei Xin , Xianpei Han , Le Sun , Weipeng Zhang , Jiansong Chen , Fan Yang , Xunliang Cai

We study universal decoding over unknown discrete additive channels determined by a finite-state (unifilar) random process. Aiming at low-complexity decoders, we study variants of noise-guessing decoders that use estimators for the…

Information Theory · Computer Science 2025-07-24 Henrique K. Miyamoto , Sheng Yang

Gradient-based optimizers have been proposed for training variational quantum circuits in settings such as quantum neural networks (QNNs). The task of gradient estimation, however, has proven to be challenging, primarily due to distinctive…

Speculative Decoding has emerged as a popular technique for accelerating inference in Large Language Models. However, most existing approaches yield only modest improvements in production serving systems. Methods that achieve substantial…

Computation and Language · Computer Science 2026-01-08 Michele Marzollo , Jiawei Zhuang , Niklas Roemer , Niklas Zwingenberger , Lorenz K. Müller , Lukas Cavigelli

For the additive Gaussian noise channel with average codeword power constraint, sparse superposition codes and adaptive successive decoding is developed. Codewords are linear combinations of subsets of vectors, with the message indexed by…

Information Theory · Computer Science 2010-06-22 Andrew R Barron , Antony Joseph

Quantum low-density parity-check (LDPC) codes are a promising family of quantum error-correcting codes for fault tolerant quantum computing with low overhead. Decoding quantum LDPC codes on quantum erasure channels has received more…

Information Theory · Computer Science 2024-11-20 Mert Gökduman , Hanwen Yao , Henry D. Pfister

We propose a novel soft-aided low-complexity decoder for product codes based on dynamic reliability scores and error-and-erasure decoding. We observe coding gains of up to 1.2 dB compared to conventional hard-decision decoders.

Information Theory · Computer Science 2022-05-18 Sisi Miao , Lukas Rapp , Laurent Schmalen