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Current state-of-the-art synchrony-based models encode object bindings with complex-valued activations and compute with real-valued weights in feedforward architectures. We argue for the computational advantages of a recurrent architecture…

机器学习 · 计算机科学 2024-10-29 Anand Gopalakrishnan , Aleksandar Stanić , Jürgen Schmidhuber , Michael Curtis Mozer

Sets of sequences with good correlation properties are desired in many active sensing and communication systems, e.g., multiple-input-multiple-output (MIMO) radar systems and code-division multiple-access (CDMA) cellular systems. In this…

最优化与控制 · 数学 2016-05-04 Junxiao Song , Prabhu Babu , Daniel P. Palomar

We extend the paraunitary (PU) theory for complementary pairs to comple- mentary sets and complete complementary codes (CCC) by proposing a new PU construction. A special, but very important case of complementary sets (and CC- C), based on…

信息论 · 计算机科学 2018-08-31 Srdjan Z. Budisin

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

信息论 · 计算机科学 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

Reversible Boolean function is a one-to-one function which maps $n$-bit input to $n$-bit output. Reversible logic synthesis has been widely studied due to its relationship with low-energy computation as well as quantum computation. In this…

新兴技术 · 计算机科学 2019-05-22 Jiaqing Jiang , Xiaoming Sun , Yuan Sun , Kewen Wu , Zhiyu Xia

Compressed sensing (CS) is a signal processing framework for efficiently reconstructing a signal from a small number of measurements, obtained by linear projections of the signal. In this paper we present an end-to-end deep learning…

图像与视频处理 · 电气工程与系统科学 2019-06-26 Yochai Zur , Amir Adler

We present a construction for complementary pairs of arrays that exploits a set of mutually-unbiased bases, and enumerate these arrays as well as the corresponding set of complementary sequences obtained from the arrays by projection. We…

信息论 · 计算机科学 2013-12-05 Gaofei Wu , Matthew G. Parker

Using the principle of structural analogy of solutions, approaches have been developed for constructing exact solutions of complex nonlinear PDEs, including PDEs with delay, based on the use of special solutions to auxiliary simpler related…

可精确求解与可积系统 · 物理学 2024-06-03 Andrei D. Polyanin

Motivated by the need for channel codes with low-complexity soft-decision decoding algorithms, we consider the recursive Plotkin concatenation of optimal low-rate and high-rate codes based on simplex codes and their duals. These component…

信息论 · 计算机科学 2025-10-14 Andreas Zunker , Marvin Rübenacke , Stephan ten Brink

Including polynomials with small degree and stencil when designing very high order reconstructions is surely beneficial for their non oscillatory properties, but may bring loss of accuracy on smooth data unless special care is exerted. In…

数值分析 · 数学 2020-10-29 Matteo Semplice , Giuseppe Visconti

Convolutional codes are constructed, designed and analysed using row and/or block structures of unit algebraic schemes. Infinite series of such codes and of codes with specific properties are derived. Properties are shown algebraically and…

环与代数 · 数学 2018-04-04 Ted Hurley

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…

信息论 · 计算机科学 2012-11-14 Hamid Allouch , Idriss Chana , Mostafa Belkasmi

We recently showed in [1] the superiority of certain structured coding matrices ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both…

信息论 · 计算机科学 2022-07-12 YuHao Liu , Teng Fu , Jean Barbier , TianQi Hou

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

信号处理 · 电气工程与系统科学 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

Inclusion dependencies form one of the most widely used dependency classes. We extend existing results on the axiomatization and computational complexity of their implication problem to two extended variants. We present an alternative…

计算机科学中的逻辑 · 计算机科学 2025-05-27 Matilda Häggblom

Idempotent Boolean functions form a highly structured subclass of Boolean functions that is closely related to rotation symmetry under a normal-basis representation and to invariance under a fixed linear map in a polynomial basis. These…

密码学与安全 · 计算机科学 2026-02-03 Claude Carlet , Marko Ðurasevic , Domagoj Jakobovic , Luca Mariot , Stjepan Picek

Zero correlation zone (ZCZ) sequences and Golay complementary sequences are two kinds of sequences with different preferable correlation properties. Golay-ZCZ sequences are special kinds of complementary sequences which also possess a large…

信息论 · 计算机科学 2021-12-17 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

Hyperdimensional Computing (HDC), also known as Vector-Symbolic Architectures (VSA), is a promising framework for the development of cognitive architectures and artificial intelligence systems, as well as for technical applications and…

人工智能 · 计算机科学 2022-01-03 Dmitri A. Rachkovskij

A circulant-based spatially-coupled (SC) code is constructed by partitioning the circulants in the parity-check matrix of a block code into several components and piecing copies of these components in a diagonal structure. By connecting…

信息论 · 计算机科学 2019-08-08 Homa Esfahanizadeh , Lev Tauz , Lara Dolecek

Consistency between the exchange-correlation (xc) functional used during pseudopotential construction and planewave-based electronic structure calculations is important for an accurate and reliable description of the structure and…