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In this paper, we present a deep learning-based numerical method for approximating high dimensional stochastic partial differential equations (SPDEs). At each time step, our method relies on a predictor-corrector procedure. More precisely,…

Numerical Analysis · Mathematics 2022-09-13 He Zhang , Ran Zhang , Tao Zhou

The problem of maximum likelihood decoding with a neural decoder for error-correcting code is considered. It is shown that the neural decoder can be improved with two novel loss terms on the node's activations. The first loss term imposes a…

Information Theory · Computer Science 2022-08-12 Eliya Nachmani , Yair Be'ery

A quantum error correcting protocol can be substantially improved by taking into account features of the physical noise process. We present an efficient decoder for the surface code which can account for general noise features, including…

Quantum Physics · Physics 2018-06-13 Andrew S. Darmawan , David Poulin

We show that a simple modification of the surface code can exhibit an enormous gain in the error correction threshold for a noise model in which Pauli Z errors occur more frequently than X or Y errors. Such biased noise, where dephasing…

Quantum Physics · Physics 2018-02-07 David K. Tuckett , Stephen D. Bartlett , Steven T. Flammia

Noise reduction techniques based on deep learning have demonstrated impressive performance in enhancing the overall quality of recorded speech. While these approaches are highly performant, their application in audio engineering can be…

Sound · Computer Science 2023-10-18 Christian J. Steinmetz , Thomas Walther , Joshua D. Reiss

The successive cancellation list decoder (SCL) is an efficient decoder for classical polar codes with low decoding error, approximating the maximum likelihood decoder (MLD) for small list sizes. Here we adapt the SCL to the task of decoding…

Quantum Physics · Physics 2026-05-14 Anqi Gong , Joseph M. Renes

Though achieving excellent performance in some cases, current unsupervised learning methods for single image denoising usually have constraints in applications. In this paper, we propose a new approach which is more general and applicable…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yutong Xie , Mingze Yuan , Bin Dong , Quanzheng Li

In this technical report, the systems we submitted for subtask 4 of the DCASE 2021 challenge, regarding sound event detection, are described in detail. These models are closely related to the baseline provided for this problem, as they are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-20 Wim Boes , Hugo Van hamme

In this paper, we analyze the delay probability of the first error position in perturbation-enhanced Successive cancellation (SC) decoding for polar codes. Our findings reveal that, asymptotically, an SC decoder's performance does not…

Information Theory · Computer Science 2025-01-13 Zhicheng Liu , Liuquan Yao , Shuai Yuan , Guiying Yan , Zhiming Ma , Yuting Liu

There has been a rise in decoding quantum error correction codes with neural network based decoders, due to the good decoding performance achieved and adaptability to any noise model. However, the main challenge is scalability to larger…

Quantum Physics · Physics 2019-02-07 Savvas Varsamopoulos , Koen Bertels , Carmen G. Almudever

We present a memory augmented neural network for natural language understanding: Neural Semantic Encoders. NSE is equipped with a novel memory update rule and has a variable sized encoding memory that evolves over time and maintains the…

Machine Learning · Computer Science 2017-01-06 Tsendsuren Munkhdalai , Hong Yu

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

Numerical Analysis · Mathematics 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

We consider the problem of optimally decoding a quantum error correction code -- that is to find the optimal recovery procedure given the outcomes of partial "check" measurements on the system. In general, this problem is NP-hard. However,…

Quantum Physics · Physics 2009-11-13 David Poulin

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

Information Theory · Computer Science 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

Polar codes have gained significant amount of attention during the past few years and have been selected as a coding scheme for the next generation of mobile broadband standard. Among decoding schemes, successive-cancellation list (SCL)…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

In the short block length regime, ensemble decoding schemes with their inherently parallel structure can improve error correction performance and reduce latency compared to stand-alone suboptimal decoders such as belief propagation (BP). In…

Information Theory · Computer Science 2026-04-09 Jonathan Mandelbaum , Paul Bezner , Holger Jäkel , Stephan ten Brink , Laurent Schmalen

A new deep-neural-network (DNN) based error correction encoder architecture for channels with feedback, called Deep Extended Feedback (DEF), is presented in this paper. The encoder in the DEF architecture transmits an information message…

Information Theory · Computer Science 2021-05-05 Anahid Robert Safavi , Alberto G. Perotti , Branislav M. Popovic , Mahdi Boloursaz Mashhadi , Deniz Gunduz

Recent speech-to-speech (S2S) models generate intelligible speech but still lack natural expressiveness, largely due to the absence of a reliable evaluation metric. Existing approaches, such as subjective MOS ratings, low-level acoustic…

Sound · Computer Science 2025-10-24 Zhiyu Lin , Jingwen Yang , Jiale Zhao , Meng Liu , Sunzhu Li , Benyou Wang

Node-based successive cancellation list (SCL) decoding has received considerable attention in wireless communications for its significant reduction in decoding latency, particularly with 5G New Radio (NR) polar codes. However, the existing…

Hardware Architecture · Computer Science 2024-08-09 Yuqing Ren , Leyu Zhang , Ludovic Damien Blanc , Yifei Shen , Xinwei Li , Alexios Balatsoukas-Stimming , Chuan Zhang , Andreas Burg

Polar codes are capacity achieving error correcting codes that can be decoded through the successive-cancellation algorithm. To improve its error-correction performance, a list-based version called successive-cancellation list (SCL) has…

Information Theory · Computer Science 2017-01-30 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross
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