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We extend the three-legged tree tensor network state (T3NS) [J. Chem. Theory Comput. 2018, 14, 2026-2033] by including spin and the real abelian point group symmetries. T3NS intersperses physical tensors with branching tensors. Physical…

Strongly Correlated Electrons · Physics 2019-05-13 Klaas Gunst , Frank Verstraete , Dimitri Van Neck

New remote sensing sensors now acquire high spatial and spectral Satellite Image Time Series (SITS) of the world. These series of images are a key component of classification systems that aim at obtaining up-to-date and accurate land cover…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Charlotte Pelletier , Geoffrey I. Webb , Francois Petitjean

This paper proposes a fundamentally new paradigm for image generation through set-based tokenization and distribution modeling. Unlike conventional methods that serialize images into fixed-position latent codes with a uniform compression…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Zigang Geng , Mengde Xu , Han Hu , Shuyang Gu

Large-scale numerical simulations are capable of generating data up to terabytes or even petabytes. As a promising method of data reduction, super-resolution (SR) has been widely studied in the scientific visualization community. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-29 Chenyue Jiao , Chongke Bi , Lu Yang

In real-world applications, such as sharing photos on social media platforms, images are always not only sub-sampled but also heavily compressed thus often containing various artefacts. Simple methods for enhancing the resolution of such…

Image and Video Processing · Electrical Eng. & Systems 2022-11-23 Hongming Luo , Fei Zhou , Guangsen Liao , Guoping Qiu

Deep neural networks can be effective means to automatically classify aerial images but is easy to overfit to the training data. It is critical for trained neural networks to be robust to variations that exist between training and test…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Jiayun Wang , Patrick Virtue , Stella X. Yu

We study the symmetric outer product decomposition which decomposes a fully (partially) symmetric tensor into a sum of rank-one fully (partially) symmetric tensors. We present iterative algorithms for the third-order partially symmetric…

Numerical Analysis · Mathematics 2013-12-31 Na Li , Carmeliza Navasca

Tensors of order three or higher have found applications in diverse fields, including image and signal processing, data mining, biomedical engineering and link analysis, to name a few. In many applications that involve for example time…

Data Structures and Algorithms · Computer Science 2018-09-05 Davoud Ataee Tarzanagh , George Michailidis

We proposed the tensor-input tree (TT) method for scalar-on-tensor and tensor-on-tensor regression problems. We first address scalar-on-tensor problem by proposing scalar-output regression tree models whose input variable are tensors (i.e.,…

Machine Learning · Computer Science 2025-07-10 Hengrui Luo , Akira Horiguchi , Li Ma

In this paper, we study the problem of a batch of linearly correlated image alignment, where the observed images are deformed by some unknown domain transformations, and corrupted by additive Gaussian noise and sparse noise simultaneously.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Sijia Xia , Duo Qiu , Xiongjun Zhang

Neural networks are widely used for almost any task of recognizing image content. Even though much effort has been put into investigating efficient network architectures, optimizers, and training strategies, the influence of image…

Computer Vision and Pattern Recognition · Computer Science 2022-09-30 Andreas Spruck , Viktoria Heimann , André Kaup

In the framework of multidimensional Compressed Sensing (CS), we introduce an analytical reconstruction formula that allows one to recover an $N$th-order $(I_1\times I_2\times \cdots \times I_N)$ data tensor $\underline{\mathbf{X}}$ from a…

Information Theory · Computer Science 2015-06-19 Cesar F. Caiafa , Andrzej Cichocki

Ternary Neural Networks (TNNs) have received much attention due to being potentially orders of magnitude faster in inference, as well as more power efficient, than full-precision counterparts. However, 2 bits are required to encode the…

Machine Learning · Computer Science 2021-07-30 Peng Chen , Bohan Zhuang , Chunhua Shen

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

This paper proposes a tensor-based parameter estimation algorithm for sensing in an intelligent reflecting surface-assisted system. We present a higher-order singular value decomposition-based solution that exploits the tensor structure of…

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

Tensor parallelism is an essential technique for distributed training of large neural networks. However, automatically determining an optimal tensor parallel strategy is challenging due to the gigantic search space, which grows…

Machine Learning · Computer Science 2025-08-06 Ziji Shi , Le Jiang , Ang Wang , Jie Zhang , Chencan Wu , Yong Li , Xiaokui Xiao , Wei Lin , Jialin Li

Semantic segmentation, a crucial task in computer vision, often relies on labor-intensive and costly annotated datasets for training. In response to this challenge, we introduce FuseNet, a dual-stream framework for self-supervised semantic…

Computer Vision and Pattern Recognition · Computer Science 2023-11-23 Amirhossein Kazerouni , Sanaz Karimijafarbigloo , Reza Azad , Yury Velichko , Ulas Bagci , Dorit Merhof

Modern ConvNets continue to achieve state-of-the-art results over a vast array of vision and image classification tasks, but at the cost of increasing parameters. One strategy for compactifying a network without sacrificing much expressive…

Machine Learning · Computer Science 2024-01-09 Tahseen Rabbani , Jiahao Su , Xiaoyu Liu , David Chan , Geoffrey Sangston , Furong Huang

The ability to learn compact, high-quality, and easy-to-optimize representations for visual data is paramount to many applications such as novel view synthesis and 3D reconstruction. Recent work has shown substantial success in using tensor…

Computer Vision and Pattern Recognition · Computer Science 2024-06-07 Sebastian Loeschcke , Dan Wang , Christian Leth-Espensen , Serge Belongie , Michael J. Kastoryano , Sagie Benaim

Deep neural networks currently demonstrate state-of-the-art performance in several domains. At the same time, models of this class are very demanding in terms of computational resources. In particular, a large amount of memory is required…

Machine Learning · Computer Science 2015-12-22 Alexander Novikov , Dmitry Podoprikhin , Anton Osokin , Dmitry Vetrov