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Conventional decoding algorithms for polar codes strive to balance achievable performance and computational complexity in classical computing. While maximum likelihood (ML) decoding guarantees optimal performance, its NP-hard nature makes…

Quantum Physics · Physics 2024-11-08 Shintaro Fujiwara , Naoki Ishikawa

New algorithms for efficient decoding of polar codes (which may be CRC-augmented), transmitted over either a binary erasure channel (BEC) or an additive white Gaussian noise channel (AWGNC), are presented. We start by presenting a new…

Information Theory · Computer Science 2021-07-14 Yonatan Urman , Guy Mogilevsky , David Burshtein

Binary memristive crossbars have gained huge attention as an energy-efficient deep learning hardware accelerator. Nonetheless, they suffer from various noises due to the analog nature of the crossbars. To overcome such limitations, most…

Neural and Evolutionary Computing · Computer Science 2022-01-06 Youngeun Kim , Hyunsoo Kim , Seijoon Kim , Sang Joon Kim , Priyadarshini Panda

The task of robust linear estimation in the presence of outliers is of particular importance in signal processing, statistics and machine learning. Although the problem has been stated a few decades ago and solved using classical…

Information Theory · Computer Science 2023-07-19 George Papageorgiou , Pantelis Bouboulis , Sergios Theodoridis , Kostantinos Themelis

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…

Retrieval-augmented code generation utilizes Large Language Models as the generator and significantly expands their code generation capabilities by providing relevant code, documentation, and more via the retriever. The current approach…

Software Engineering · Computer Science 2024-09-25 Xinyu Gao , Yun Xiong , Deze Wang , Zhenhan Guan , Zejian Shi , Haofen Wang , Shanshan Li

Aiming at bridging the gap between the maximum likelihood decoding (MLD) and the suboptimal iterative decodings for short or medium length LDPC codes, we present a generalized ordered statistic decoding (OSD) in the form of syndrome…

Information Theory · Computer Science 2008-05-16 Guangwen Li , Guangzeng Feng

Retrieval-augmented generation (RAG) enhances large language models (LLMs) by integrating external knowledge retrieved from a knowledge base. However, its effectiveness is fundamentally constrained by the reliability of both the retriever…

Computation and Language · Computer Science 2025-01-31 Yiteng Tu , Weihang Su , Yujia Zhou , Yiqun Liu , Qingyao Ai

Learning with noisy labels is an important topic for scalable training in many real-world scenarios. However, few previous research considers this problem in the online setting, where the arrival of data is streaming. In this paper, we…

Machine Learning · Computer Science 2023-06-09 Yifan Yang , Alec Koppel , Zheng Zhang

In this work, we investigate the margin-maximization bias exhibited by gradient-based algorithms in classifying linearly separable data. We present an in-depth analysis of the specific properties of the velocity field associated with…

Machine Learning · Computer Science 2024-12-30 Mingze Wang , Zeping Min , Lei Wu

Regularization is essential for avoiding over-fitting to training data in network optimization, leading to better generalization of the trained networks. The label noise provides a strong implicit regularization by replacing the target…

Machine Learning · Computer Science 2022-05-04 Kensuke Nakamura , Bong-Soo Sohn , Kyoung-Jae Won , Byung-Woo Hong

Ensuring truthfulness in large language models (LLMs) remains a critical challenge for reliable text generation. While supervised fine-tuning and reinforcement learning with human feedback have shown promise, they require a substantial…

Machine Learning · Computer Science 2026-03-17 Manh Nguyen , Sunil Gupta , Hung Le

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

Optimization and Control · Mathematics 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

Binary turbo product codes (TPCs) are powerful error-correcting codes constructed from short component codes. Traditionally, turbo product decoding passes log likelihood ratios (LLRs) between the component decoders, inherently losing…

Information Theory · Computer Science 2025-11-12 Lukas Rapp , Muriel Médard , Ken R. Duffy

Learning to rank (LTR) plays a crucial role in various Information Retrieval (IR) tasks. Although supervised LTR methods based on fine-grained relevance labels (e.g., document-level annotations) have achieved significant success, their…

Information Retrieval · Computer Science 2025-08-21 Yiteng Tu , Zhichao Xu , Tao Yang , Weihang Su , Yujia Zhou , Yiqun Liu , Fen Lin , Qin Liu , Qingyao Ai

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local…

Numerical Analysis · Mathematics 2021-10-22 Felipe Rocha , Simone Deparis , Pablo Antolin , Annalisa Buffa

A new method for low-complexity near-maximum-likelihood (ML) decoding of low-density parity-check (LDPC) codes over the additive white Gaussian noise channel is presented. The proposed method termed belief-propagation--list erasure decoding…

Information Theory · Computer Science 2017-05-29 Irina E. Bocharova , Boris D. Kudryashov , Vitaly Skachek , Yauhen Yakimenka

In this paper, we present a simple yet effective provable method (named ABSGD) for addressing the data imbalance or label noise problem in deep learning. Our method is a simple modification to momentum SGD where we assign an individual…

Machine Learning · Computer Science 2023-06-09 Qi Qi , Yi Xu , Rong Jin , Wotao Yin , Tianbao Yang

This paper proposes a novel maximum-likelihood (ML) soft-decision decoding framework for linear block codes, termed error-building decoding (EBD). The complete decoding process can be performed using only the parity-check matrix, without…

Information Theory · Computer Science 2026-01-06 Guoda Qiu , Ling Liu , Yuejun Wei , Liping Li

The efficient estimation of an approximate model order is very important for real applications with multi-dimensional data if the observed low-rank data is corrupted by additive noise. In this paper, we present a novel robust method for…

Methodology · Statistics 2022-12-21 Alexey A. Korobkov , Marina K. Diugurova , Jens Haueisen , Martin Haardt
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