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This paper proposes and proves a theorem which stipulates sufficient conditions the coefficients of two quadratic permutation polynomials (QPP) must satisfy, so that the permutations generated by them are identical. The result is used to…

Information Theory · Computer Science 2012-03-05 Lucian Trifina , Daniela Tărniceriu , Valeriu Munteanu

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation. Also, the…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes

Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs). This paper proves a theorem which states sufficient…

Information Theory · Computer Science 2015-03-13 Lucian Trifina , Daniela Tarniceriu

The structure and size of the interleaver used in a turbo code critically affect the distance spectrum and the covariance property of a component decoder's information input and soft output. This paper introduces a new class of…

Information Theory · Computer Science 2009-09-29 Yan-Xiu Zheng , Yu T. Su

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are important because they admit analytical designs and simple, practical hardware implementation. The spread factor of an…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation.…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

The performance of a Turbo code with short block length depends critically on the interleaver design. There are two major criteria in the design of an interleaver: the distance spectrum of the code and the correlation between the…

Combinatorics · Mathematics 2007-07-16 H. R. Sadjadpour , N. J. A. Sloane , M. Salehi , G. Nebe

Interleaving learning is a human learning technique where a learner interleaves the studies of multiple topics, which increases long-term retention and improves ability to transfer learned knowledge. Inspired by the interleaving learning…

Machine Learning · Computer Science 2021-03-15 Hao Ban , Pengtao Xie

In this work, we consider the minimum distance properties and convergence thresholds of 3-dimensional turbo codes (3D-TCs), recently introduced by Berrou et al.. Here, we consider binary 3D-TCs while the original work of Berrou et al.…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes , Alexandre Graell i Amat

Mapper graphs are widely used tools in topological data analysis and visualization. They can be understood as discrete approximations of Reeb graphs, providing insight into the shape and connectivity of complex data. Given a…

Computational Geometry · Computer Science 2026-04-17 Erin Wolf Chambers , Ishika Ghosh , Elizabeth Munch , Sarah Percival , Bei Wang

Interleaving is a mechanism universally used in wireless access technologies to alleviate the effect of channel correlation. In spite of its wide adoption, to the best of our knowledge, there are no analytical models proposed so far. In…

Information Theory · Computer Science 2018-01-31 Dmitri Moltchanov , Pavel Kustarev , Yevgeni Kucharyavy

We propose a class of interleavers for a novel deep neural network (DNN) architecture that uses algorithmically pre-determined, structured sparsity to significantly lower memory and computational requirements, and speed up training. The…

Machine Learning · Computer Science 2019-04-29 Sourya Dey , Peter A. Beerel , Keith M. Chugg

In this work we study the interleaving distance between merge trees from a combinatorial point of view. We use a particular type of matching between trees to obtain a novel formulation of the distance. With such formulation, we tackle the…

Combinatorics · Mathematics 2024-11-11 Matteo Pegoraro

Similarity search retrieves the nearest neighbors of a query vector from a dataset of high-dimensional vectors. As the size of the dataset grows, the cost of performing the distance computations needed to implement a query can become…

Machine Learning · Computer Science 2019-12-20 Soroosh Khoram , Stephen J Wright , Jing Li

Parameter recovering of channel codes is important in applications such as cognitive radio. The main task for that of a turbo code is to recover the interleaver. The existing optimal algorithm recovers interleaver parameters incrementally…

Information Theory · Computer Science 2016-05-18 Peidong Yu , Hua Peng , Jing Li

Laguerre polynomials are orthogonal polynomials defined on positive half line with respect to weight $e^{-x}$. They have wide applications in scientific and engineering computations. However, the exponential growth of Laguerre polynomials…

Numerical Analysis · Mathematics 2026-05-18 Shenghe Huang , Haijun Yu

Leveraging query variants (QVs), i.e., queries with potentially similar information needs to the target query, has been shown to improve the effectiveness of query performance prediction (QPP) approaches. Existing QV-based QPP methods…

Information Retrieval · Computer Science 2025-10-06 Fangzheng Tian , Debasis Ganguly , Craig Macdonald

Online ranker evaluation is a key challenge in information retrieval. An important task in the online evaluation of rankers is using implicit user feedback for inferring preferences between rankers. Interleaving methods have been found to…

Information Retrieval · Computer Science 2016-08-03 Brian Brost , Ingemar J. Cox , Yevgeny Seldin , Christina Lioma

We propose a new method to search for high-redshift galaxies that is based on an intermediate-band dropout technique rather than the usual broad-band dropout one. In this method, we use an intermediate-band filter whose central wavelength…

Query performance prediction (QPP) aims to estimate the retrieval quality of a search system for a query without human relevance judgments. Previous QPP methods typically return a single scalar value and do not require the predicted values…

Information Retrieval · Computer Science 2025-05-27 Chuan Meng , Negar Arabzadeh , Arian Askari , Mohammad Aliannejadi , Maarten de Rijke
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