Tensor Decomposition Through Neural Architectures
Machine learning (ML) technologies are currently widely used in many domains of science and technology, to discover models that transform input data into output data.
Chady Ghnatios, Francisco Chinesta
doaj +1 more source
Enhancing generalized spectral clustering with embedding Laplacian graph regularization
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang +5 more
wiley +1 more source
The effect of the total small vessel disease burden on the structural brain network
Different cerebral small vessel disease (SVD) lesion types have been shown to disrupt structural brain network individually. Considering that they often coexist, we investigated the relation between their collective effect using the recently proposed ...
Xiaopei Xu +4 more
doaj +1 more source
Robust Tensor Factorization for Color Image and Grayscale Video Recovery
Low-rank tensor completion (LRTC) plays an important role in many fields, such as machine learning, computer vision, image processing, and mathematical theory.
Shiqiang Du +4 more
doaj +1 more source
TT4D: Tensor‐Train‐based 4D Time‐Dependent Volume Rendering
Abstract Visualizing large‐scale, time‐varying volumetric data using direct volume rendering remains a significant challenge in scientific visualization, particularly as data sizes and resolutions continue to increase. One promising direction for addressing this challenge is the use of tensor decompositions, which have proven to be a useful tool for ...
Clara Hartmann +2 more
wiley +1 more source
Efficient Techniques for Low-Rank Tensor Approximation and Applications in Robust Object Detection
This paper introduces efficient randomized fixed-precision and single-pass algorithms for low-tubal-rank approximation of third-order tensors. The proposed fixed-precision algorithms are faster and more efficient than the existing algorithms for ...
Salman Ahmadi-Asl +3 more
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Application of Diffusion Tensor Imaging Parameters to Detect Change in Longitudinal Studies in Cerebral Small Vessel Disease. [PDF]
Cerebral small vessel disease (SVD) is the major cause of vascular cognitive impairment, resulting in significant disability and reduced quality of life.
Eva Anna Zeestraten +7 more
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As‐Rigid‐As‐Possible Regularization for Implicit Surfaces
Abstract Implicit surface representations have regained popularity because of their use in machine learning. A common component in optimization is regularization, penalizing the deviation of the surface from its original shape. The popular as‐rigid‐as‐possible (Arap) energy strikes a good compromise between realistic deformation behavior and efficient ...
T. Djuren +3 more
wiley +1 more source
Topological approaches to quantum tensor train compression via ZX-calculus and SVD
The rapid advancement of quantum-inspired classical algorithms, particularly Quantics Tensor Trains (QTT), has demonstrated that exponentially large vectors can be manipulated efficiently via Matrix Product States (MPS).
Luis Gerardo Ayala Bertel +1 more
doaj +1 more source
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source

