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In this paper, we study the connection between polar codes and product codes. Our analysis shows that the product of two polar codes is again a polar code, and we provide guidelines to compute its frozen set on the basis of the frozen sets…

Information Theory · Computer Science 2020-04-22 Carlo Condo , Valerio Bioglio , Hartmut Hafermann , Ingmar Land

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

Autoencoders and generative models produce some of the most spectacular deep learning results to date. However, understanding and controlling the latent space of these models presents a considerable challenge. Drawing inspiration from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Chi-Hieu Pham , Saïd Ladjal , Alasdair Newson

High-dimensional data, particularly in the form of high-order tensors, presents a major challenge in self-supervised learning. While MLP-based autoencoders (AE) are commonly employed, their dependence on flattening operations exacerbates…

Machine Learning · Computer Science 2025-08-12 Junjing Zheng , Chengliang Song , Weidong Jiang , Xinyu Zhang

Synchronization errors, such as insertions and deletions, present a fundamental challenge in DNA-based data storage systems, arising from both synthesis and sequencing noise. These channels are often modeled as…

Information Theory · Computer Science 2025-06-23 Ziv Aharoni , Henry D. Pfister

Denoising autoencoders (DAEs) are powerful deep learning models used for feature extraction, data generation and network pre-training. DAEs consist of an encoder and decoder which may be trained simultaneously to minimise a loss (function)…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 Antonia Creswell , Kai Arulkumaran , Anil A. Bharath

Several groups are currently investigating how deep learning may advance the state-of-the-art in image and video coding. An open question is how to make deep neural networks work in conjunction with existing (and upcoming) video codecs,…

Image and Video Processing · Electrical Eng. & Systems 2019-12-17 Eirina Bourtsoulatze , Aaron Chadha , Ilya Fadeev , Vasileios Giotsas , Yiannis Andreopoulos

Scientific machine learning is an emerging field that broadly describes the combination of scientific computing and machine learning to address challenges in science and engineering. Within the context of differential equations, this has…

Machine Learning · Computer Science 2026-04-03 Laurens R. Lueg , Victor Alves , Daniel Schicksnus , John R. Kitchin , Carl D. Laird , Lorenz T. Biegler

We present Deep Compression Autoencoder (DC-AE), a new family of autoencoder models for accelerating high-resolution diffusion models. Existing autoencoder models have demonstrated impressive results at a moderate spatial compression ratio…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Junyu Chen , Han Cai , Junsong Chen , Enze Xie , Shang Yang , Haotian Tang , Muyang Li , Yao Lu , Song Han

Recently, various studies have been directed towards exploring dense passage retrieval techniques employing pre-trained language models, among which the masked auto-encoder (MAE) pre-training architecture has emerged as the most promising.…

Information Retrieval · Computer Science 2023-05-23 Zehan Li , Yanzhao Zhang , Dingkun Long , Pengjun Xie

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

Recently, automorphism ensemble decoding (AED) has drawn research interest as a more computationally efficient alternative to successive cancellation list (SCL) decoding of polar codes. Although AED has demonstrated superior performance for…

Information Theory · Computer Science 2023-05-03 Marvin Geiselhart , Jannis Clausius , Stephan ten Brink

Recent work has shown deep neural networks (DNNs) to be highly susceptible to well-designed, small perturbations at the input layer, or so-called adversarial examples. Taking images as an example, such distortions are often imperceptible,…

Machine Learning · Computer Science 2015-04-13 Shixiang Gu , Luca Rigazio

Coding theory is a central discipline underpinning wireline and wireless modems that are the workhorses of the information age. Progress in coding theory is largely driven by individual human ingenuity with sporadic breakthroughs over the…

Machine Learning · Statistics 2018-05-24 Hyeji Kim , Yihan Jiang , Ranvir Rana , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Developing effective representations of protein structures is essential for advancing protein science, particularly for protein generative modeling. Current approaches often grapple with the complexities of the SE(3) manifold, rely on…

Machine Learning · Computer Science 2025-10-14 Shaoning Li , Le Zhuo , Yusong Wang , Mingyu Li , Xinheng He , Fandi Wu , Hongsheng Li , Pheng-Ann Heng

In this paper, we propose a new self-supervised method, which is called Denoising Masked AutoEncoders (DMAE), for learning certified robust classifiers of images. In DMAE, we corrupt each image by adding Gaussian noises to each pixel value…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Quanlin Wu , Hang Ye , Yuntian Gu , Huishuai Zhang , Liwei Wang , Di He

Traditional language models, adept at next-token prediction in text sequences, often struggle with transduction tasks between distinct symbolic systems, particularly when parallel data is scarce. Addressing this issue, we introduce…

Machine Learning · Computer Science 2024-02-19 Mohammad Hossein Amani , Nicolas Mario Baldwin , Amin Mansouri , Martin Josifoski , Maxime Peyrard , Robert West

Deep learning has received much attention lately due to the impressive empirical performance achieved by training algorithms. Consequently, a need for a better theoretical understanding of these problems has become more evident in recent…

Machine Learning · Computer Science 2022-03-03 Daniel Bienstock , Gonzalo Muñoz , Sebastian Pokutta

Modeling and controlling complex spatiotemporal dynamical systems driven by partial differential equations (PDEs) often necessitate dimensionality reduction techniques to construct lower-order models for computational efficiency. This paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Priyabrata Saha , Saibal Mukhopadhyay

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
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