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Handling communication overhead in large-scale tensor-parallel training remains a critical challenge due to the dense, near-zero distributions of intermediate tensors, which exacerbate errors under frequent communication and introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-28 Man Liu , Xingchen Liu , Xingjian Tian , Bing Lu , Shengkay Lyu , Shengquan Yin , Wenjing Huang , Zheng Wei , Hairui Zhao , Guangming Tan , Dingwen Tao

Single Input-Multiple Output (SIMO) systems are key enablers of high data rates in the next generation wireless communications. However in SIMO systems, channel estimation and equalization are challenging particularly in the presence of…

Information Theory · Computer Science 2025-12-09 K Sai Praneeth , P Aswathylakshmi , Radhakrishna Ganti

Currently, the size of scientific data is growing at an unprecedented rate. Data in the form of tensors exhibit high-order, high-dimensional, and highly sparse features. Although tensor-based analysis methods are very effective, the large…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-13 Zixuan Li

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

In the rapidly evolving landscape of 5G and beyond 5G (B5G) mobile cellular communications, efficient data compression and reconstruction strategies become paramount, especially in massive multiple-input multiple-output (MIMO) systems. A…

Information Theory · Computer Science 2024-03-07 Libin Zheng , Zihao Wang , Minru Bai , Zhenjie Tan

We consider the problem of coordinated multi- cell downlink beamforming in massive multiple input multiple output (MIMO) systems consisting of N cells, Nt antennas per base station (BS) and K user terminals (UTs) per cell. Specifically, we…

Information Theory · Computer Science 2015-04-09 Subhash Lakshminarayana , Mohamad Assaad , Merouane Debbah

Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

Emerging Technologies · Computer Science 2014-08-26 Andrzej Cichocki

We consider downlink (DL) channel estimation for frequency division duplex based massive MIMO systems under the multipath model. Our goal is to provide fast and accurate channel estimation from a small amount of DL training overhead. Prior…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Cheng Qian , Xiao Fu , Nicholas D. Sidiropoulos

Massive MIMO is a variant of multiuser MIMO in which the number of antennas at the base station (BS) $M$ is very large and typically much larger than the number of served users (data streams) $K$. Recent research has illustrated the…

Information Theory · Computer Science 2018-07-31 Mahdi Nouri Boroujerdi , Saeid Haghighatshoar , Giuseppe Caire

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

As wireless networks progress toward sixthgeneration (6G), understanding the spatial distribution of directional beam coverage becomes increasingly important for beam management and link optimization. Multiple-input multipleoutput (MIMO)…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Hao Sun , Junting Chen , Xianghao Yu

This paper proposes a channel estimation method for Multiple-Input Multiple-Output (MIMO) systems based on Canonical Polyadic (CP) decomposition applied to a mode-factorized tensor representation of the channel. The proposed approach…

Information Theory · Computer Science 2026-05-20 Alexander Blagodarnyi , Alexander Sherstobitov , Vladimir Lyashev

The problem of wideband massive MIMO channel estimation is considered. Targeting for low complexity algorithms as well as small training overhead, a compressive sensing (CS) approach is pursued. Unfortunately, due to the Kronecker-type…

Information Theory · Computer Science 2018-03-30 Gerhard Wunder , Ingo Roth , Axel Flinth , Mahdi Barzegar , Saeid Haghighatshoar , Giuseppe Caire , Gitta Kutyniok

Tensor computation has emerged as a powerful mathematical tool for solving high-dimensional and/or extreme-scale problems in science and engineering. The last decade has witnessed tremendous advancement of tensor computation and its…

Signal Processing · Electrical Eng. & Systems 2019-07-05 Kaiqi Zhang , Xiyuan Zhang , Zheng Zhang

Initial access at millimeter wave frequencies is a challenging problem due to hardware non-idealities and low SNR measurements prior to beamforming. Prior work has exploited the observation that mmWave MIMO channels are sparse in the…

Information Theory · Computer Science 2018-06-06 Nitin Jonathan Myers , Robert W. Heath

In the last decades, tensors have emerged as the right tool to represent multidimensional data in a compact yet informative manner. Moreover, it is well-known that by performing low-rank factorizations of such tensors one is often able to…

Numerical Analysis · Mathematics 2026-03-31 Martina Iannacito , Sascha Portaro , Davide Palitta , Claudio Arlandini , Domitilla Brandoni

We consider channel estimation within pulse-shaping multicarrier multiple-input multiple-output (MIMO) systems transmitting over doubly selective MIMO channels. This setup includes MIMO orthogonal frequency-division multiplexing (MIMO-OFDM)…

Information Theory · Computer Science 2016-08-03 Daniel Eiwen , Georg Tauboeck , Franz Hlawatsch , Hans Georg Feichtinger

Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the…

Numerical Analysis · Mathematics 2014-11-04 Holger Rauhut , Reinhold Schneider , Zeljka Stojanac

Tensors or multiarray data are generalizations of matrices. Tensor clustering has become a very important research topic due to the intrinsically rich structures in real-world multiarray datasets. Subspace clustering based on vectorizing…

Computer Vision and Pattern Recognition · Computer Science 2015-04-30 Yanfeng Sun , Junbin Gao , Xia Hong , Bamdev Mishra , Baocai Yin

This paper introduces matrix product state (MPS) decomposition as a computational tool for extracting features of multidimensional data represented by higher-order tensors. Regardless of tensor order, MPS extracts its relevant features to…

Computer Vision and Pattern Recognition · Computer Science 2016-01-22 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do