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  1. Tensor factorization via transformed tensor-tensor product for image alignment

    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...

    Sijia **a, Duo Qiu, **ongjun Zhang in Numerical Algorithms
    Article 12 September 2023
  2. Application of Tensor Network Formalism for Processing Tensor Data

    Next-generation mobility services require a huge amount of data with multiple attributes. This data is stored as a multi-dimensional array called a...
    Kenji Harada, Hiroaki Matsueda, Tsuyoshi Okubo in Advanced Mathematical Science for Mobility Society
    Chapter Open access 2024
  3. Tensor randomized extended Kaczmarz methods for large inconsistent tensor linear equations with t-product

    This paper presents three tensor randomized extended Kaczmarz methods for solving a tensor inconsistent linear system of equations under the...

    Guang-**n Huang, Shuang-You Zhong in Numerical Algorithms
    Article 08 November 2023
  4. Low-Rank Tensor Decomposition

    Infrared small target detection is a research hotspot in computer vision technology that plays an important role in infrared early warning systems....
    Hu Zhu, Yushan Pan, ... Guoxia Xu in Infrared Small Target Detection
    Chapter 2024
  5. Tensor Iterators for Flexible High-Performance Tensor Computation

    The explosive growth of machine learning applications has consequently created a demand for high-performance implementations of tensor contractions,...
    John Jolly, Priya Goyal, ... Mary Hall in Languages and Compilers for Parallel Computing
    Conference paper 2023
  6. A robust tensor watermarking algorithm for diffusion-tensor images

    Watermarking algorithms that use convolution neural networks have exhibited good robustness in studies of deep learning networks. However, after...

    Chengmeng Liu, Zhi Li, ... Long Zheng in Frontiers of Information Technology & Electronic Engineering
    Article 23 March 2024
  7. Diffusion tensor image denoising via geometric invariant nonlocal means on the tensor manifold

    Diffusion tensor imaging (DTI) is an advanced magnetic resonance technology that describes subtle brain structures using a diffusion tensor at each...

    **angyuan Liu, Zhongke Wu, **ngce Wang in Multimedia Tools and Applications
    Article 29 October 2022
  8. Compiling Tensor Expressions into Einsum

    Tensors are a widely used representations of multidimensional data in scientific and engineering applications. However, efficiently evaluating tensor...
    Julien Klaus, Mark Blacher, Joachim Giesen in Computational Science – ICCS 2023
    Conference paper 2023
  9. Convex–Concave Tensor Robust Principal Component Analysis

    Tensor robust principal component analysis (TRPCA) aims at recovering the underlying low-rank clean tensor and residual sparse component from the...

    Youfa Liu, Bo Du, ... Dacheng Tao in International Journal of Computer Vision
    Article 21 December 2023
  10. Gradual Tensor Shape Checking

    Tensor shape mismatch is a common source of bugs in deep learning programs. We propose a new type-based approach to detect tensor shape mismatches....
    Momoko Hattori, Naoki Kobayashi, Ryosuke Sato in Programming Languages and Systems
    Conference paper Open access 2023
  11. Theories, algorithms and applications in tensor learning

    Due to the accelerated development and popularization of Internet, mobile Internet, and Internet of Things and the breakthrough of storage and...

    **aowu Deng, Yuanquan Shi, Dunhong Yao in Applied Intelligence
    Article 15 April 2023
  12. Image classification based on tensor network DenseNet model

    Image classification, the primary domain where deep neural networks significantly contribute to image analysis, requires a substantial amount of...

    Chunyang Zhu, Lei Wang, ... Heng Lian in Applied Intelligence
    Article 01 April 2024
  13. LTN: Logic Tensor Networks

    In this chapter, we provide an overview of Logic Tensor Networks (LTNs, for short), a formalism that makes use of tensor embeddings—n-dimensional...
    Paulo Shakarian, Chitta Baral, ... Lahari Pokala in Neuro Symbolic Reasoning and Learning
    Chapter 2023
  14. Density peak clustering using tensor network

    We introduce a density-based clustering algorithm with tensor networks. In order to demonstrate its effectiveness, we apply it to various types of...

    **ao Shi, Yun Shang in Science China Information Sciences
    Article 20 February 2024
  15. N-mode minimal tensor extrapolation methods

    The purpose of this work is to present, using the n-mode product, a new approach to generalize, for tensor sequences, the well-known vector...

    Abdeslem Hafid Bentbib, Khalide Jbilou, Ridwane Tahiri in Numerical Algorithms
    Article 01 July 2023
  16. Tensor completion with noisy side information

    We develop a new model for tensor completion which incorporates noisy side information available on the rows and columns of a 3-dimensional tensor....

    Dimitris Bertsimas, Colin Pawlowski in Machine Learning
    Article Open access 07 August 2023
  17. Parsimonious mixtures for the analysis of tensor-variate data

    Real data is taking on more and more complex structures, raising the necessity for more flexible and parsimonious statistical methodologies....

    Salvatore D. Tomarchio, Antonio Punzo, Luca Bagnato in Statistics and Computing
    Article Open access 11 September 2023
  18. Improvement of robust tensor principal component analysis based on generalized nonconvex approach

    The problem of nonconvex robust tensor principal component analysis consists of recovering the low-rank and sparse part from a tensor corrupted by...

    Kaiyu Tang, Yali Fan, Yan Song in Applied Intelligence
    Article 05 June 2024
  19. THP: Tensor-field-driven hierarchical path planning for autonomous scene exploration with depth sensors

    It is challenging to automatically explore an unknown 3D environment with a robot only equipped with depth sensors due to the limited field of view....

    Yuefeng **, Chenyang Zhu, ... Kai Xu in Computational Visual Media
    Article Open access 18 May 2024
  20. Iterative methods for solving tensor equations based on exponential acceleration

    Maolin Liang, Lifang Dai, Ruijuan Zhao in Numerical Algorithms
    Article 13 November 2023
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