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Extended variants of the recently introduced spread unary coding are described. These schemes, in which the length of the code word is fixed, allow representation of approximately n^2 numbers for n bits, rather than the n numbers of the…

Information Theory · Computer Science 2015-02-04 Subhash Kak

Using a binary representation for basis elements of an algebra combined with a framework of multiplier and index functions, a connection has been established between the structure of a large class of algebras and the XOR componentwise…

Mathematical Physics · Physics 2025-09-30 Derek Courchesne , Sébastien Tremblay

The Reduced Basis (RB) method is a well established method for the model order reduction of problems formulated as parametrized partial differential equations. One crucial requirement for the application of RB schemes is the availability of…

Numerical Analysis · Mathematics 2016-11-25 Andreas Buhr , Christian Engwer , Mario Ohlberger , Stephan Rave

Artificial neural networks have been proposed as potential algorithms that could benefit from being implemented and run on quantum computers. In particular, they hold promise to greatly enhance Artificial Intelligence tasks, such as image…

Quantum Physics · Physics 2021-03-04 Stefano Mangini , Francesco Tacchino , Dario Gerace , Chiara Macchiavello , Daniele Bajoni

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates and therefore expensive and energy-hungry analogto-digital converters (ADCs). In applications where cost and…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

In this paper, we propose a hybrid analog-digital beamforming architecture with resolution-adaptive ADCs for millimeter wave (mmWave) receivers with large antenna arrays. We adopt array response vectors for the analog combiners and derive…

Information Theory · Computer Science 2017-11-22 Jinseok Choi , Brian L. Evans , Alan Gatherer

Inspired by the recent advances in deep learning (DL), this work presents a deep neural network aided decoding algorithm for binary linear codes. Based on the concept of deep unfolding, we design a decoding network by unfolding the…

Information Theory · Computer Science 2020-02-19 Yi Wei , Ming-Min Zhao , Min-Jian Zhao , Ming Lei

How to improve discriminative feature learning is central in classification. Existing works address this problem by explicitly increasing inter-class separability and intra-class similarity, whether by constructing positive and negative…

Machine Learning · Computer Science 2024-08-21 Qingsong Zhao , Yi Wang , Shuguang Dou , Chen Gong , Yin Wang , Cairong Zhao

In this paper, we present a new hypercomplex number system, Trinition, that has an unusual structure of commutativity, noncommutativity, nonassociativity, and deformability.

General Mathematics · Mathematics 2025-04-04 Abdon Atangana

A hybrid ARQ (HARQ) scheme for polar code, which is called active-bit relocation under masks (ARUM), is proposed. In each transmission, the data bits are encoded and bit-wisely XOR-masked using a binary vector before being transmitted…

Information Theory · Computer Science 2018-05-18 Kai Chen , Liangming Wu , Changlong Xu , Jian Li , Hao Xu , Jing Jiang

In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras. This method, which proves to be very powerful, can be applied to most algebras and superalgebras, however. It allows: to…

High Energy Physics - Theory · Physics 2007-05-23 Beatriz Gato-Rivera

We propose using an adaptive sampling method to detect changes for a system with multiple lines. The adaptive sampling utilizes the information in responses to learn on which line is more likely to have a change thus allocating more units…

Applications · Statistics 2025-12-18 Yanqing Yi , Su-Fen Yang

Quantum data loading plays a central role in quantum algorithms and quantum information processing. Many quantum algorithms hinge on the ability to prepare arbitrary superposition states as a subroutine, with claims of exponential speedups…

Quantum Physics · Physics 2025-09-25 Chun-Tse Li , Hao-Chung Cheng

An Artificial Neural Network-based error compensation method is proposed for improving the accuracy of resolver-based 16-bit encoders by compensating for their respective systematic error profiles. The error compensation procedure, for a…

Neural and Evolutionary Computing · Computer Science 2015-05-14 V. K. Dhar , A. K. Tickoo , S. K. Kaul , R. Koul , B. P. Dubey

The encoder and decoder for lossy data compression of binary memoryless sources are developed on the basis of a specific-type nonmonotonic perceptron. Statistical mechanical analysis indicates that the potential ability of the…

Information Theory · Computer Science 2009-11-11 Tadaaki Hosaka , Yoshiyuki Kabashima

A fully tensorial theoretical framework for hypercomplex-valued neural networks is presented. The proposed approach enables neural network architectures to operate on data defined over arbitrary finite-dimensional algebras. The central…

Machine Learning · Computer Science 2026-01-27 Agnieszka Niemczynowicz , Radosław Antoni Kycia

The feedback alignment (FA) algorithm offers a biologically plausible alternative to backpropagation (BP) for training neural networks yet notably fails to scale to convolutional architectures. Modifications have been proposed to address…

Artificial Intelligence · Computer Science 2026-05-12 Jake Lance , Larry Kieu

A wide range of binary analysis applications, such as bug discovery, malware analysis and code clone detection, require recovery of contextual meanings on a binary code. Recently, binary analysis techniques based on machine learning have…

Cryptography and Security · Computer Science 2021-06-11 Hyungjoon Koo , Soyeon Park , Daejin Choi , Taesoo Kim

The intrinsic structure of binary fields poses a challenging complexity problem from both hardware and software point of view. Motivated by applications to modern cryptography, we describe some simple techniques aimed at performing…

Combinatorics · Mathematics 2015-01-16 Valentino Lanzone , Gábor P. Nagy

Human face recognition has been a long standing problem in computer vision and pattern recognition. Facial analysis can be viewed as a two-fold problem, namely (i) facial representation, and (ii) classification. So far, many face…

Computer Vision and Pattern Recognition · Computer Science 2016-06-01 Mawloud Guermoui , Mohamed L. Mekhalfi
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