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Related papers: Denoising Diffusion Error Correction Codes

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Recent work on approximate quantum error correction (QEC) has opened up the possibility of constructing subspace codes that protect information with high fidelity in scenarios where perfect error correction is impossible. Motivated by this,…

Quantum Physics · Physics 2012-07-31 Prabha Mandayam , Hui Khoon Ng

We consider data transmission over a network where each edge is an erasure channel and where the inner nodes transmit a random linear combination of their incoming information. We distinguish two channel models in this setting, the row and…

Information Theory · Computer Science 2017-10-18 Heide Gluesing-Luerssen , Anna-Lena Horlemann-Trautmann

In this paper, we propose an iterative source error correction (ISEC) decoding scheme for deep-learning-based joint source-channel coding (Deep JSCC). Given a noisy codeword received through the channel, we use a Deep JSCC encoder and…

Machine Learning · Computer Science 2023-02-21 Changwoo Lee , Xiao Hu , Hun-Seok Kim

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

We demonstrate that error correcting codes (ECCs) can be used to construct a labeled data set for finetuning of "trainable" communication systems without sacrificing resources for the transmission of known symbols. This enables adaptive…

Information Theory · Computer Science 2018-07-03 Stefan Schibisch , Sebastian Cammerer , Sebastian Dörner , Jakob Hoydis , Stephan ten Brink

Diffusion models may be viewed as hierarchical variational autoencoders (VAEs) with two improvements: parameter sharing for the conditional distributions in the generative process and efficient computation of the loss as independent terms…

Machine Learning · Computer Science 2025-10-20 Beatrix M. G. Nielsen , Anders Christensen , Andrea Dittadi , Ole Winther

An error correcting code ($\mathsf{ECC}$) allows a sender to send a message to a receiver such that even if a constant fraction of the communicated bits are corrupted, the receiver can still learn the message correctly. Due to their…

Data Structures and Algorithms · Computer Science 2021-11-09 Meghal Gupta , Yael Tauman Kalai , Rachel Zhang

In computer-aided diagnosis (CAD) focused on microscopy, denoising improves the quality of image analysis. In general, the accuracy of this process may depend both on the experience of the microscopist and on the equipment sensitivity and…

Image and Video Processing · Electrical Eng. & Systems 2021-05-04 Fabio Hernán Gil Zuluaga , Francesco Bardozzo , Jorge Iván Ríos Patiño , Roberto Tagliaferri

We construct a new kind of encoder, leveraging the expressive power of diffusion models. In a traditional variational autoencoder, the encoder and decoder jointly negotiate a latent representation of the input. This is made possible by the…

Machine Learning · Computer Science 2026-05-14 Akhil Premkumar , Sarah Lucioni

Differential linear network coding (DLNC) is a precoding scheme for information transmission over random linear networks. By using differential encoding and decoding, the conventional approach of lifting, required for inherent channel…

Information Theory · Computer Science 2015-01-29 Sven Puchinger , Michael Cyran , Robert F. H. Fischer , Martin Bossert , Johannes B. Huber

Currently, methods for single-image deblurring based on CNNs and transformers have demonstrated promising performance. However, these methods often suffer from perceptual limitations, poor generalization ability, and struggle with heavy or…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Xiaoyang Liu , Yuquan Wang , Zheng Chen , Jiezhang Cao , He Zhang , Yulun Zhang , Xiaokang Yang

Diffusion models have recently achieved great success in the synthesis of high-quality images and videos. However, the existing denoising techniques in diffusion models are commonly based on step-by-step noise predictions, which suffers…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Hancheng Ye , Jiakang Yuan , Renqiu Xia , Xiangchao Yan , Tao Chen , Junchi Yan , Botian Shi , Bo Zhang

Atom loss is a dominant error source in neutral-atom quantum processors, yet its correlated structure remains largely unexploited by existing quantum error correction decoders. We analyze the performance of the surface code equipped with…

Quantum Physics · Physics 2026-04-27 Hugo Perrin , Gatien Roger , Guido Pupillo

Erasures are the primary type of errors in physical systems dominated by leakage errors. While quantum error correction (QEC) using stabilizer codes can combat erasure errors, it remains unknown which constructions achieve capacity…

Quantum Physics · Physics 2026-05-05 Kao-Yueh Kuo , Yingkai Ouyang

We propose a unified diffusion model-based correction and super-resolution method to enhance the fidelity and resolution of diverse low-quality data through a two-step pipeline. First, the correction step employs a novel enhanced stochastic…

Numerical Analysis · Mathematics 2025-05-15 Wuzhe Xu , Yulong Lu , Sifan Wang , Tong-Rui Liu

Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. QECC, as its classical counterpart (ECC), enables the reduction of error rates, by distributing quantum logical information across…

Quantum Physics · Physics 2023-12-12 Yoni Choukroun , Lior Wolf

Diffusion models have recently revolutionized the field of image synthesis due to their ability to generate photorealistic images. However, one of the major drawbacks of diffusion models is that the image generation process is costly. A…

EEG decoding systems based on deep neural networks have been widely used in decision making of brain computer interfaces (BCI). Their predictions, however, can be unreliable given the significant variance and noise in EEG signals. Previous…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Tiehang Duan , Zhenyi Wang , Sheng Liu , Sargur N. Srihari , Hui Yang

Limited by the encoder-decoder architecture, learning-based edge detectors usually have difficulty predicting edge maps that satisfy both correctness and crispness. With the recent success of the diffusion probabilistic model (DPM), we…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Yunfan Ye , Kai Xu , Yuhang Huang , Renjiao Yi , Zhiping Cai

With the success of transformer architectures across diverse applications, the error correction code transformer (ECCT) has gained significant attention for its superior decoding performance. In spite of its advantages, the error floor…

Information Theory · Computer Science 2025-07-16 Taewoo Park , Seong-Joon Park , Hee-Youl Kwak , Sang-Hyo Kim , Yongjune Kim