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Polar codes provably achieve the symmetric capacity of a memoryless channel while having an explicit construction. This work aims to increase the throughput of polar decoder hardware by an order of magnitude relative to the state of the art…

Hardware Architecture · Computer Science 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

A deep-learning-aided successive-cancellation list (DL-SCL) decoding algorithm for polar codes is introduced with deep-learning-aided successive-cancellation (DL-SC) decoding being a specific case of it. The DL-SCL decoder works by allowing…

Information Theory · Computer Science 2019-12-04 Seyyed Ali Hashemi , Nghia Doan , Thibaud Tonnellier , Warren J. Gross

In this work, we present a concatenated repetition-polar coding scheme that is aimed at applications requiring highly unbalanced unequal bit-error protection, such as the Beam Interlock System of the Large Hadron Collider at CERN. Even…

Information Theory · Computer Science 2017-12-04 Alexios Balatsoukas-Stimming , Tomasz Podzorny , Jan Uythoven

Kernelized maximum-likelihood (ML) expectation maximization (EM) methods have recently gained prominence in PET image reconstruction, outperforming many previous state-of-the-art methods. But they are not immune to the problems of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-05 Shiyao Guo , Yuxia Sheng , Shenpeng Li , Li Chai , Jingxin Zhang

Computing high-quality independent sets quickly is an important problem in combinatorial optimization. Several recent algorithms have shown that kernelization techniques can be used to find exact maximum independent sets in medium-sized…

Data Structures and Algorithms · Computer Science 2016-02-05 Jakob Dahlum , Sebastian Lamm , Peter Sanders , Christian Schulz , Darren Strash , Renato F. Werneck

Over the past decade, polar codes have received significant traction and have been selected as the coding method for the control channel in fifth-generation (5G) wireless communication systems. However, conventional polar codes are reliant…

Information Theory · Computer Science 2023-05-09 Hossein Rezaei , Elham Abbasi , Nandana Rajatheva , Matti Latva-aho

A method for efficiently successive cancellation (SC) decoding of polar codes with high-dimensional linear binary kernels (HDLBK) is presented and analyzed. We devise a $l$-expressions method which can obtain simplified recursive formulas…

Information Theory · Computer Science 2017-01-18 Zhiliang Huang , Shiyi Zhang , Feiyan Zhang , Chunjiang Duanmu , Ming Chen

This paper first presents a new approach to evaluating the descriptive complexity of finite-length binary sequences. Specifically, we investigate the sequence-wise recovery behavior induced by polar compression and successive cancellation…

Information Theory · Computer Science 2026-05-15 Xinyuanmeng Yao , Xiao Ma

This paper investigates universal polar coding schemes. In particular, a notion of ordering (called convolutional path) is introduced between probability distributions to determine when a polar compression (or communication) scheme designed…

Information Theory · Computer Science 2010-12-03 Emmanuel Abbe

Good quantum error-correcting codes that fulfill practical considerations, such as simple encoding circuits and efficient decoders, are essential for functional quantum information processing systems. Quantum polar codes satisfy some of…

Quantum Physics · Physics 2025-06-09 Keita Hidaka , Dina Abdelhadi , Ruediger Urbanke

Reinforcement Learning (RL) has shown great empirical success in various application domains. The theoretical aspects of the problem have been extensively studied over past decades, particularly under tabular and linear Markov Decision…

Machine Learning · Computer Science 2024-06-24 Sattar Vakili

As multimodal agents evolve from passive observers to long-horizon decision-makers, they require memory systems that provide not just information availability but logical verifiability. A fundamental limitation of current architectures is…

Artificial Intelligence · Computer Science 2026-02-03 Zhisheng Chen , Tingyu Wu , Zijie Zhou , Zhengwei Xie , Ziyan Weng , Yingwei Zhang

Supervised learning is often computationally easy in practice. But to what extent does this mean that other modes of learning, such as reinforcement learning (RL), ought to be computationally easy by extension? In this work we show the…

Machine Learning · Computer Science 2024-04-08 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

Upside Down Reinforcement Learning (UDRL) is a promising framework for solving reinforcement learning problems which focuses on learning command-conditioned policies. In this work, we extend UDRL to the task of learning a…

Machine Learning · Computer Science 2025-01-29 Jacopo Di Ventura , Dylan R. Ashley , Vincent Herrmann , Francesco Faccio , Jürgen Schmidhuber

Quantum computing offers exciting opportunities for simulating complex quantum systems and optimizing large scale combinatorial problems, but its practical use is limited by device noise and constrained connectivity. Designing quantum…

Quantum Physics · Physics 2026-03-19 Akash Kundu , Leopoldo Sarra

Tabular prediction traditionally relies on gradient-boosted decision trees and deep learning models, which excel in specific tasks but lack interpretability and transferability. Reasoning large language models (LLMs) promise cross-task…

Machine Learning · Computer Science 2026-03-11 Pengxiang Cai , Zihao Gao , Wanchen Lian , Jintai Chen

Repository-level code completion aims to generate code for unfinished code snippets within the context of a specified repository. Existing approaches mainly rely on retrieval-augmented generation strategies due to limitations in input…

Software Engineering · Computer Science 2024-07-31 Yanlin Wang , Yanli Wang , Daya Guo , Jiachi Chen , Ruikai Zhang , Yuchi Ma , Zibin Zheng

We show in this work that reinforcement learning can be successfully applied to decoding short to moderate length sparse graph-based channel codes. Specifically, we focus on low-density parity check (LDPC) codes, which for example have been…

Information Theory · Computer Science 2020-10-20 Salman Habib , Allison Beemer , Joerg Kliewer

Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabet size is a prime number, a similar construction to that for…

Information Theory · Computer Science 2009-08-04 Eren Sasoglu , Emre Telatar , Erdal Arikan
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