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In this paper, we propose a dimension reduction method specifically designed for tensor-structured feature data in deep neural networks. The method is implemented as a hidden layer, called the TensorProjection layer, which transforms input…

Machine Learning · Statistics 2024-10-23 Toshinari Morimoto , Su-Yun Huang

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

Numerical Analysis · Mathematics 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

Channel estimation is one of the key issues in practical massive multiple-input multiple-output (MIMO) systems. Compared with conventional estimation algorithms, deep learning (DL) based ones have exhibited great potential in terms of…

Information Theory · Computer Science 2021-08-24 Jiabao Gao , Mu Hu , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

Multi-channel imaging data is a prevalent data format in scientific fields such as astronomy and biology. The structured information and the high dimensionality of these 3-D tensor data makes the analysis an intriguing but challenging topic…

Methodology · Statistics 2023-08-15 Hu Sun , Ward Manchester , Meng Jin , Yang Liu , Yang Chen

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

The problem of testing whether a signal lies within a given subspace, also named matched subspace detection, has been well studied when the signal is represented as a vector. However, the matched subspace detection methods based on vectors…

Numerical Analysis · Computer Science 2018-04-24 Cuiping Li , Xiao-Yang Liu , Yue Sun

Exploiting channel sparsity at millimeter wave (mmWave) frequencies reduces the high training overhead associated with the channel estimation stage. Compressive sensing (CS) channel estimation techniques usually adopt the (overcomplete)…

Information Theory · Computer Science 2019-09-23 Hongxiang Xie , Javier Rodríguez-Fernández , Nuria González-Prelcic

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

Machine Learning · Computer Science 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

This paper proposes and analyzes novel deep learning methods for downlink (DL) single-user multiple-input multiple-output (SU-MIMO) and multi-user MIMO (MU-MIMO) systems operating in time division duplex (TDD) mode. A motivating application…

Information Theory · Computer Science 2024-02-05 Juseong Park , Foad Sohrabi , Amitava Ghosh , Jeffrey G. Andrews

This letter proposes a model for symbol detection in the uplink of IRS-assisted networks in the presence of channel aging. During the first stage, we model the received pilot signal as a tensor, which serves as a basis for both estimating…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Kenneth B. A. Benicio , André L. F. de Almeida , Bruno Sokal , Fazal-E-Asim , Behrooz Makki , Gábor Fodor

We consider joint channel estimation and faulty antenna detection for massive multiple-input multiple-output (MIMO) systems operating in time-division duplexing (TDD) mode. For systems with faulty antennas, we show that the impact of faulty…

Information Theory · Computer Science 2017-09-21 Peng Zhang , Lu Gan , Cong Ling , Sumei Sun

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

5G mmWave communication is useful for positioning due to the geometric connection between the propagation channel and the propagation environment. Channel estimation methods can exploit the resulting sparsity to estimate parameters(delay…

Information Theory · Computer Science 2020-05-25 Fuxi Wen , Josef Kulmer , Klaus Witrisal , Henk Wymeersch

The problem of two-dimensional (2-D) direction-of-arrival (DOA) estimation for the L-shaped nested array is considered. Typically, the multi-dimensional structure of the received signal in co-array domain is ignored in the problem…

Signal Processing · Electrical Eng. & Systems 2022-06-07 Feng Xu , Sergiy A. Vorobyov

Massive MIMO is a promising technique for future 5G communications due to its high spectrum and energy efficiency. To realize its potential performance gain, accurate channel estimation is essential. However, due to massive number of…

Information Theory · Computer Science 2016-11-17 Zhen Gao , Linglong Dai , Wei Dai , Byonghyo Shim , Zhaocheng Wang

Channel estimation and hybrid precoding are considered for multi-user millimeter wave massive multi-input multi-output system. A deep learning compressed sensing (DLCS) channel estimation scheme is proposed. The channel estimation neural…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Wenyan Ma , Chenhao Qi , Zaichen Zhang , Julian Cheng

Tensors, which give a faithful and effective representation to deliver the intrinsic structure of multi-dimensional data, play a crucial role in an increasing number of signal processing and machine learning problems. However, tensor data…

Machine Learning · Statistics 2026-02-17 Tong Wu

Massive MIMO communication systems, by virtue of utilizing very large number of antennas, have a potential to yield higher spectral and energy efficiency in comparison with the conventional MIMO systems. In this paper, we consider uplink…

Information Theory · Computer Science 2015-07-30 Alam Zaib , Mudassir Masood , Anum Ali , Weiyu Xu , Tareq Y. Al-Naffouri

We develop a framework that we call compressive rate estimation. We assume that the composite channel gain matrix (i.e. the matrix of all channel gains between all network nodes) is compressible which means it can be approximated by a…

Information Theory · Computer Science 2015-04-29 Jan Schreck , Peter Jung , Sławomir Stańczak

Sparsity in the delay-Doppler (DD) domain enables efficient channel estimation, but the realization-wise sparsity level is rarely known in advance, and it fluctuates. What if we could estimate the channel without ever knowing how many…

Information Theory · Computer Science 2026-05-04 Zijian Yang , Yulin Shao , Fen Hou , Shaodan Ma