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The structure of polar codes inherently requires block lengths to be powers of two. In this paper, we investigate how different block lengths can be realized by coupling of several short-length polar codes. For this, we first analyze "code…

Information Theory · Computer Science 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

Nanomagnetic logic, which makes use of arrays of dipolar-coupled single domain nanomagnets for computation, holds promise as a low power alternative to traditional computation with CMOS. Beyond the use of nanomagnets for Boolean logic,…

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

Information Theory · Computer Science 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

Recently, Meta-Auto-Decoder (MAD) was proposed as a novel reduced order model (ROM) for solving parametric partial differential equations (PDEs), and the best possible performance of this method can be quantified by the decoder width. This…

Numerical Analysis · Mathematics 2023-06-27 Zhanhong Ye , Hongsheng Liu , Zidong Wang , Bin Dong

We construct a joint coordination-channel polar coding scheme for strong coordination of actions between two agents $\mathsf X$ and $\mathsf Y$, which communicate over a discrete memoryless channel (DMC) such that the joint distribution of…

Information Theory · Computer Science 2018-08-16 Sarah A. Obead , Jörg Kliewer , Badri N. Vellambi

Mueller matrix polarimetry captures essential information about polarized light interactions with a sample, presenting unique challenges for data augmentation in deep learning due to its distinct structure. While augmentations are an…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Christopher Hahne , Omar Rodriguez-Nunez , Éléa Gros , Théotim Lucas , Ekkehard Hewer , Tatiana Novikova , Theoni Maragkou , Philippe Schucht , Richard McKinley

Long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. But for polar codes with short and moderate code length, the decoding…

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

By inserting interleavers between intermediate stages of the polar encoder, a new class of polar codes, termed interleaved polar (i-polar) codes, is proposed. By the uniform interleaver assumption, we derive the weight enumerating function…

Information Theory · Computer Science 2019-08-05 Mao-Ching Chiu

To develop intelligent receivers, automatic modulation classification (AMC) plays an important role for better spectrum utilization. The emerging deep learning (DL) technique has received much attention in AMC due to its superior…

Signal Processing · Electrical Eng. & Systems 2018-10-09 Chieh-Fang Teng , Ching-Chun Liao , Chun-Hsiang Chen , An-Yeu Wu

We introduce the Kernel-Elastic Autoencoder (KAE), a self-supervised generative model based on the transformer architecture with enhanced performance for molecular design. KAE is formulated based on two novel loss functions: modified…

Machine Learning · Computer Science 2024-03-26 Haote Li , Yu Shee , Brandon Allen , Federica Maschietto , Victor Batista

Recursive list decoding of Reed-Muller (RM) codes, with moderate list size, is known to approach maximum-likelihood (ML) performance of short length $(\leq 256)$ RM codes. Recursive decoding employs the Plotkin construction to split the…

Information Theory · Computer Science 2022-07-20 Mikhail Kamenev

Denoising autoencoders (DAE) are trained to reconstruct their clean inputs with noise injected at the input level, while variational autoencoders (VAE) are trained with noise injected in their stochastic hidden layer, with a regularizer…

Machine Learning · Computer Science 2016-01-05 Daniel Jiwoong Im , Sungjin Ahn , Roland Memisevic , Yoshua Bengio

Word-embeddings are vital components of Natural Language Processing (NLP) models and have been extensively explored. However, they consume a lot of memory which poses a challenge for edge deployment. Embedding matrices, typically, contain…

Computation and Language · Computer Science 2020-11-12 Vasileios Lioutas , Ahmad Rashid , Krtin Kumar , Md Akmal Haidar , Mehdi Rezagholizadeh

Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton decoder for a variation of the color code where the bases of the…

Quantum Physics · Physics 2023-03-15 Jonathan F. San Miguel , Dominic J. Williamson , Benjamin J. Brown

Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They are used in many areas of coding theory in both electrical engineering and computer science. Yet, many of their important properties are…

Information Theory · Computer Science 2020-06-11 Emmanuel Abbe , Amir Shpilka , Min Ye

This paper focuses on the recently introduced Successive Cancellation Flip (SCFlip) decoder of polar codes. Our contribution is twofold. First, we propose the use of an optimized metric to determine the flipping positions within the SCFlip…

Information Theory · Computer Science 2017-01-18 Ludovic Chandesris , Valentin Savin , David Declercq

The rapid evolution of technology has transformed business operations and customer interactions worldwide, with personalization emerging as a key opportunity for e-commerce companies to engage customers more effectively. The application of…

Machine Learning · Computer Science 2024-08-27 Miguel Alves Gomes , Philipp Meisen , Tobias Meisen

We propose a modular architecture of language-specific encoder-decoders that constitutes a multilingual machine translation system that can be incrementally extended to new languages without the need for retraining the existing system when…

Computation and Language · Computer Science 2020-06-03 Carlos Escolano , Marta R. Costa-jussà , José A. R. Fonollosa , Mikel Artetxe

We propose a nonuniform quantized decoder for polar codes. The design metric of the quantizers is to minimize the distortion incurred by quantization. The quantizers are obtained via dynamic programming and the optimality of the quantizer…

Information Theory · Computer Science 2020-11-17 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

For the lossless compression of dynamic 3-D+t volumes as produced by medical devices like Computed Tomography, various coding schemes can be applied. This paper shows that 3-D subband coding outperforms lossless HEVC coding and additionally…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Daniela Lanz , Jürgen Seiler , Karina Jaskolka , André Kaup
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