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In this paper, we present an optimal metric function on average, which leads to a significantly low decoding computation while maintaining the superiority of the polarization-adjusted convolutional (PAC) codes' error-correction performance.…

Information Theory · Computer Science 2020-12-11 Mohsen Moradi

Large Language Models (LLMs) are demonstrating rapid improvements on complex reasoning benchmarks, particularly when allowed to utilize intermediate reasoning steps before converging on a final solution. However, current literature often…

Computation and Language · Computer Science 2026-01-01 Ákos Prucs , Márton Csutora , Mátyás Antal , Márk Marosi

The code that combines channel estimation and error protection has received general attention recently, and has been considered a promising methodology to compensate multi-path fading effect. It has been shown by simulations that such code…

Information Theory · Computer Science 2007-12-18 Chia-Lung Wu , Po-Ning Chen , Yunghsiang S. Han , Ming-Hsin Kuo

We initiate a formal study of reproducibility in optimization. We define a quantitative measure of reproducibility of optimization procedures in the face of noisy or error-prone operations such as inexact or stochastic gradient computations…

Optimization and Control · Mathematics 2022-12-06 Kwangjun Ahn , Prateek Jain , Ziwei Ji , Satyen Kale , Praneeth Netrapalli , Gil I. Shamir

Motivated by the current interest in ultra-reliable, low-latency, machine-type communication systems, we investigate the tradeoff between reliability, throughput, and latency in the transmission of information over multiple-antenna Rayleigh…

Information Theory · Computer Science 2016-11-17 Giuseppe Durisi , Tobias Koch , Johan Östman , Yury Polyanskiy , Wei Yang

Bounds on the reliability function for the discrete memoryless relay channel are derived using the method of types. Two achievable error exponents are derived based on partial decode-forward and compress-forward which are well-known…

Information Theory · Computer Science 2016-11-17 Vincent Y. F. Tan

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

Iterative decoding techniques have gain popularity due to their performance and their application in most communications systems. In this paper, we present a new application of our iterative decoder on the GPCB (Generalized Parallel…

Information Theory · Computer Science 2012-11-14 Hamid Allouch , Idriss Chana , Mostafa Belkasmi

A unified analytical framework for joint design of communication and control (JDCC) is proposed. Within this framework, communication transmission delay and steady-state control variance are derived as the two fundamental JDCC performance…

Information Theory · Computer Science 2026-04-10 Xu Gan , Chongjun Ouyang , Yuanwei Liu

A fundamental problem in coding theory is the design of an efficient coding scheme that achieves the capacity of the additive white Gaussian (AWGN) channel. The main objective of this short note is to point out that by concatenating a…

Information Theory · Computer Science 2016-08-24 Shashank Vatedka , Navin Kashyap

Consider a control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and control signal,…

Information Theory · Computer Science 2018-11-27 Victoria Kostina , Babak Hassibi

One of the challenges faced by many video providers is the heterogeneity of network specifications, user requirements, and content compression performance. The universal solution of a fixed bitrate ladder is inadequate in ensuring a high…

Image and Video Processing · Electrical Eng. & Systems 2021-11-02 Angeliki V. Katsenou , Joel Sole , David R. Bull

This paper develops coding techniques to reduce the running time of distributed learning tasks. It characterizes the fundamental tradeoff to compute gradients (and more generally vector summations) in terms of three parameters: computation…

Machine Learning · Statistics 2018-02-13 Min Ye , Emmanuel Abbe

This paper introduces a quantitative generalization of the ``more capable'' comparison of broadcast channels, which is termed ``more capable with advantage''. Some basic properties are demonstrated (including tensorization on product…

Information Theory · Computer Science 2024-01-26 Donald Kougang-Yombi , Jan Hązła

We improve the method in \cite{Seidl:10} for increasing the finite-lengh performance of polar codes by protecting specific, less reliable symbols with simple outer repetition codes. Decoding of the scheme integrates easily in the known…

Information Theory · Computer Science 2013-12-11 Mathis Seidl , Johannes B. Huber

With the advent of multi-core processors, network-on-chip design has been key in addressing network performances, such as bandwidth, power consumption, and communication delays when dealing with on-chip communication between the increasing…

Emerging Technologies · Computer Science 2018-08-01 Tzyy-Juin Kao , Wolfgang Fink

The performance of industrial robotic work cells depends on optimizing various hyperparameters referring to the cell layout, such as robot base placement, tool placement, and kinematic design. Achieving this requires a bilevel optimization…

Robotics · Computer Science 2025-09-03 G. de Mathelin , C. Hartl-Nesic , A. Kugi

The recent explosion in the amount and dimensionality of data has exacerbated the need of trading off computational and statistical efficiency carefully, so that inference is both tractable and meaningful. We propose a framework that…

Computation · Statistics 2015-06-29 Daniel L. Sussman , Alexander Volfovsky , Edoardo M. Airoldi

Polar codes are a family of capacity-achieving error-correcting codes, and they have been selected as part of the next generation wireless communication standard. Each polar code bit-channel is assigned a reliability value, used to…

Information Theory · Computer Science 2017-05-17 Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

This article is focused on some variations of Reed-Muller codes that yield improvements to the rate for a prescribed decoding performance under the Berlekamp-Massey-Sakata algorithm with majority voting. Explicit formulas for the…

Information Theory · Computer Science 2007-07-16 Maria Bras-Amorós , Michael E. O'Sullivan
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