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Handling missing values in training datasets for constructing learning models or extracting useful information is considered to be an important research task in data mining and knowledge discovery in databases. In recent years, lot of…

Databases · Computer Science 2009-04-22 Shariq Bashir , Saad Razzaq , Umer Maqbool , Sonya Tahir , Abdul Rauf Baig

Techniques such as clusterization, neural networks and decision making usually rely on algorithms that are not well suited to deal with missing values. However, real world data frequently contains such cases. The simplest solution is to…

Machine Learning · Computer Science 2016-08-16 Davi E. N. Frossard , Igor O. Nunes , Renato A. Krohling

In this work, we introduce a deep learning-based polar code construction algorithm. The core idea is to represent the information/frozen bit indices of a polar code as a binary vector which can be interpreted as trainable weights of a…

Information Theory · Computer Science 2019-09-30 Moustafa Ebada , Sebastian Cammerer , Ahmed Elkelesh , Stephan ten Brink

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

Standard methods for anomaly detection assume that all features are observed at both learning time and prediction time. Such methods cannot process data containing missing values. This paper studies five strategies for handling missing…

Machine Learning · Computer Science 2018-09-06 Thomas G. Dietterich , Tadesse Zemicheal

Incomplete instances with various missing attributes in many real-world applications have brought challenges to the classification tasks. Missing values imputation methods are often employed to replace the missing values with substitute…

Machine Learning · Computer Science 2021-07-02 Buliao Huang , Yunhui Zhu , Muhammad Usman , Huanhuan Chen

A polar coding scheme for fading channels is proposed in this paper. More specifically, the focus is Gaussian fading channel with a BPSK modulation technique, where the equivalent channel could be modeled as a binary symmetric channel with…

Information Theory · Computer Science 2013-04-16 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Polar codes, introduced recently by Ar\i kan, are the first family of codes known to achieve capacity of symmetric channels using a low complexity successive cancellation decoder. Although these codes, combined with successive cancellation,…

Information Theory · Computer Science 2009-05-22 Nadine Hussami , Satish Babu Korada , Rudiger Urbanke

This paper presents the first proof of polarization for the deletion channel with a constant deletion rate and a regular hidden-Markov input distribution. A key part of this work involves representing the deletion channel using a trellis…

Information Theory · Computer Science 2020-07-24 Ido Tal , Henry D. Pfister , Arman Fazeli , Alexander Vardy

Polar coding, introduced 2008 by Arikan, is the first (very) efficiently encodable and decodable coding scheme whose information transmission rate provably achieves the Shannon bound for classical discrete memoryless channels in the…

Quantum Physics · Physics 2012-08-17 Joseph M. Renes , Frederic Dupuis , Renato Renner

Information reconciliation (IR) ensures the correctness of quantum key distribution systems, by correcting the error bits existed in the sifted keys. In this article, we propose a polar codes-based IR scheme with the frozen bits erasure…

Quantum Physics · Physics 2023-02-01 Bang-Ying Tang , Chun-Qing Wu , Wei Peng , Bo Liu , Wan-Rong Yu

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Since most machine learning (ML) algorithms are designed for numerical inputs, efficiently encoding categorical variables is a crucial aspect in data analysis. A common problem are high cardinality features, i.e. unordered categorical…

Machine Learning · Statistics 2022-03-07 Florian Pargent , Florian Pfisterer , Janek Thomas , Bernd Bischl

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Ar{\i}kan proved that…

Information Theory · Computer Science 2014-12-16 Mine Alsan

We introduce POLAR - a framework that adds interpretability to pre-trained word embeddings via the adoption of semantic differentials. Semantic differentials are a psychometric construct for measuring the semantics of a word by analysing…

Computation and Language · Computer Science 2020-01-29 Binny Mathew , Sandipan Sikdar , Florian Lemmerich , Markus Strohmaier

Study of polar codes in fading channels is of great importance when applying polar codes in wireless communications. Channel estimation is a fundamental step for communication to be possible in fading channels. For both systematic and…

Information Theory · Computer Science 2018-01-10 Liping Li , Zuzheng Xu , Yanjun Hu

In this paper, we propose an analysis of the automorphism group of polar codes, with the scope of designing codes tailored for automorphism ensemble (AE) decoding. We prove the equivalence between the notion of decreasing monomial codes and…

Information Theory · Computer Science 2022-06-08 Valerio Bioglio , Ingmar Land , Charles Pillet

It is shown that polar codes achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in general, channel polarization happens in several, rather than only two levels so that the…

Information Theory · Computer Science 2015-03-19 Aria G. Sahebi , S. Sandeep Pradhan

In this paper, we study polar codes from a practical point of view. In particular, we study concatenated polar codes and rate-compatible polar codes. First, we propose a concatenation scheme including polar codes and Low-Density…

Information Theory · Computer Science 2011-07-28 Ali Eslami , Hossein Pishro-Nik

We exploit the redundancy of the language-based source to help polar decoding. By judging the validity of decoded words in the decoded sequence with the help of a dictionary, the polar list decoder constantly detects erroneous paths after…

Information Theory · Computer Science 2020-07-24 Ying Wang , Minghai Qin , Krishna R. Narayanan , Anxiao Jiang , Zvonimir Bandic
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