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The noise model of deletions poses significant challenges in coding theory, with basic questions like the capacity of the binary deletion channel still being open. In this paper, we study the harder model of worst-case deletions, with a…

信息论 · 计算机科学 2014-11-26 Venkatesan Guruswami , Carol Wang

The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample space. The kernel functions are a compactly supported basis…

数值分析 · 数学 2020-08-04 Giacomo Capodaglio , Max Gunzburger

Besides the determined construction of polar codes in BEC channels, different construction techniques have been proposed for AWGN channels. The current state-of-the-art algorithm starts with a design-SNR (or an operating SNR) and then…

信息论 · 计算机科学 2016-03-09 Rui Deng , Liping Li , Yanjun Hu

The polarization-adjusted convolutional (PAC) codes concatenate the polar transform and the convolutional transform to improve the decoding performance of the finite-length polar codes, where the rate-profile is used to construct the PAC…

信息论 · 计算机科学 2021-06-09 He Sun , Emanuele Viterbo , Rongke Liu

In this paper, we investigate the fundamentals of puncturing and shortening for polar codes, based on binary domination which plays a key role in polar code construction. We first prove that the orders of encoder input bits to be made…

信息论 · 计算机科学 2019-01-09 Min Jang , Seok-Ki Ahn , Hongsil Jeong , Kyung-Joong Kim , Seho Myung , Sang-Hyo Kim , Kyeongcheol Yang

Despite the extreme error-correction performance, the amount of computation of sequential decoding of the polarization-adjusted convolutional (PAC) codes is random. In sequential decoding of convolutional codes, the computational cutoff…

信息论 · 计算机科学 2022-11-30 Mohsen Moradi

De novo functional protein design aims to generate protein sequences that realize specified biochemical functions without relying on evolutionary templates, enabling broad applications in biotechnology and medicine. Existing approaches…

定量方法 · 定量生物学 2026-05-05 Xinrui Chen , Yizhen Luo , Siqi Fan , Zaiqing Nie

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

人工智能 · 计算机科学 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Physically unclonable functions (PUFs) provide data that can be used for cryptographic purposes: on the one hand randomness for the initialization of random-number generators; on the other hand individual fingerprints for unique…

密码学与安全 · 计算机科学 2015-07-31 Pol Van Aubel , Daniel J. Bernstein , Ruben Niederhagen

We investigate weakly constrained codes, in which specific patterns occur with prescribed frequencies rather than being strictly forbidden as in conventional constrained coding. We propose a capacity-achieving construction of a weakly…

信息论 · 计算机科学 2026-05-22 Prachi Mishra , Sidharth Jaggi , Navin Kashyap , Michael Langberg

We study the problem of private function retrieval (PFR) in a distributed storage system. In PFR the user wishes to retrieve a linear combination of $M$ messages stored in non-colluding $(N,K)$ MDS coded databases while revealing no…

信息论 · 计算机科学 2021-06-29 Sarah A. Obead , Jörg Kliewer

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

A securely maintained key is the premise upon which data stored and transmitted by ubiquitously deployed resource limited devices, such as those in the Internet of Things (IoT), are protected. However, many of these devices lack a secure…

密码学与安全 · 计算机科学 2019-02-11 Yansong Gao , Yang Su , Wei Yang , Shiping Chen , Surya Nepal , Damith C. Ranasinghe

We present a secure communication system constructed using pairs of nonlinear photonic physical unclonable functions (PUFs) that harness physical chaos in integrated silicon micro-cavities. Compared to a large, electronically stored…

密码学与安全 · 计算机科学 2018-03-14 Brian C. Grubel , Bryan T. Bosworth , Michael R. Kossey , A. Brinton Cooper , Mark A. Foster , Amy C. Foster

Fractional repetition (FR) codes are a family of repair-efficient storage codes that provide exact and uncoded node repair at the minimum bandwidth regenerating point. The advantageous repair properties are achieved by a tailor-made…

信息论 · 计算机科学 2020-05-15 Bing Zhu , Hui Li , Kenneth W. Shum , Shuo-Yen Robert Li

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

图像与视频处理 · 电气工程与系统科学 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

We propose a novel scheme for rate-compatible arbitrary-length polar code construction for the additive white Gaussian noise (AWGN) channel. The proposed scheme is based on the concept of non-uniform channel polarization. The original polar…

信息论 · 计算机科学 2021-03-23 R. M. Oliveira , R. C. de Lamare

We study the problem of efficiently producing, in an online fashion, generative models of scalar, multiclass, and vector-valued outcomes that cannot be falsified on the basis of the observed data and a pre-specified collection of…

机器学习 · 计算机科学 2026-02-26 Gabriele Farina , Juan Carlos Perdomo

We introduce a binary embedding framework, called Proximity Preserving Code (PPC), which learns similarity and dissimilarity between data points to create a compact and affinity-preserving binary code. This code can be used to apply fast…

机器学习 · 计算机科学 2020-02-06 Inbal Lav , Shai Avidan , Yoram Singer , Yacov Hel-Or

There has been a growing interest in fully integrating Physical Unclonable Function (PUF) for cryptographic primitives, or keyless encryption. Keyless primitives do not store key information during the entire encryption and decryption…

密码学与安全 · 计算机科学 2021-09-24 Dina Ghanai Miandoab , Sareh Assiri , Joseph Mihaljevic , Bertrand Cambou