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Cross tensor approximation methods for compression and dimensionality reduction
Cross Tensor Approximation (CTA) is a generalization of Cross/skeleton matrix and CUR
Matrix Approximation (CMA) and is a suitable tool for fast low-rank tensor approximation. It …
Matrix Approximation (CMA) and is a suitable tool for fast low-rank tensor approximation. It …
Semi-supervised multi-modal clustering and classification with incomplete modalities
In this paper, we propose a novel Semi-supervised Learning with Incomplete Modality
(SLIM) method considering the modal consistency and complementarity simultaneously, and …
(SLIM) method considering the modal consistency and complementarity simultaneously, and …
Matrix completion with cross-concentrated sampling: Bridging uniform sampling and CUR sampling
While uniform sampling has been widely studied in the matrix completion literature, CUR
sampling approximates a low-rank matrix via row and column samples. Unfortunately, both …
sampling approximates a low-rank matrix via row and column samples. Unfortunately, both …
Fast cross tensor approximation for image and video completion
This paper presents a framework that suggests the utilization of cross tensor approximation
or tensor CUR approximation to reconstruct incomplete images and videos. The proposed …
or tensor CUR approximation to reconstruct incomplete images and videos. The proposed …
Error analysis of tensor-train cross approximation
Tensor train decomposition is widely used in machine learning and quantum physics due to
its concise representation of high-dimensional tensors, overcoming the curse of …
its concise representation of high-dimensional tensors, overcoming the curse of …
Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime
We present a general-purpose algorithm to extrapolate a low-rank function of two variables
from a small domain to a larger one. It is based on the cross-interpolation formula. We apply …
from a small domain to a larger one. It is based on the cross-interpolation formula. We apply …
[PDF][PDF] Collaborative Correlation Tracking.
Correlation filter based tracking has attracted many researchers' attention in recent years for
high efficiency and robustness. Most existing works focus on exploiting different …
high efficiency and robustness. Most existing works focus on exploiting different …
Near-field channel estimation for xl-ris assisted multi-user xl-mimo systems: Hybrid beamforming architectures
Reconfigurable intelligent surface (RIS) is an emerging technique for robust millimeter-wave
(mmWave) multiple-input multiple-output (MIMO) systems. In this paper, we study the …
(mmWave) multiple-input multiple-output (MIMO) systems. In this paper, we study the …
[HTML][HTML] Perspectives on CUR decompositions
This note discusses an interesting matrix factorization called the CUR Decomposition. We
illustrate various viewpoints of this method by comparing and contrasting them in different …
illustrate various viewpoints of this method by comparing and contrasting them in different …
CUR decompositions, similarity matrices, and subspace clustering
A general framework for solving the subspace clustering problem using the CUR
decomposition is presented. The CUR decomposition provides a natural way to construct …
decomposition is presented. The CUR decomposition provides a natural way to construct …