Results 1 to 10 of about 65,242 (175)

Low-rank matrix approximations over canonical subspaces

Journal of Numerical Analysis and Approximation Theory, 2020
In this paper we derive closed form expressions for the nearest rank-\(k\) matrix on canonical subspaces.    We start by studying three kinds of subspaces.  Let \(X\) and \(Y\) be a pair of given matrices. The first subspace contains all the \(m\times
Achiya Dax
doaj   +8 more sources

Progressively shifting patterns of co-modulation among premotor cortex neurons carry dynamically similar signals during action execution and observation [PDF]

eLife
Neurons in macaque premotor cortex show firing rate modulation whether the subject performs an action or observes another individual performing a similar action.
Zhonghao Zhao, Marc H Schieber
doaj   +2 more sources

Analyzing and Controlling Inter-Head Diversity in Multi-Head Attention

Applied Sciences, 2021
Multi-head attention, a powerful strategy for Transformer, is assumed to utilize information from diverse representation subspaces. However, measuring diversity between heads’ representations or exploiting the diversity has been rarely studied.
Hyeongu Yun, Taegwan Kang, Kyomin Jung
doaj   +1 more source

A vanishing theorem for the canonical blow-ups of Grassmann manifolds

Complex Manifolds, 2021
Let 𝒯 s,p,n be the canonical blow-up of the Grassmann manifold G(p, n) constructed by blowing up the Plücker coordinate subspaces associated with the parameter s. We prove that the higher cohomology groups of the tangent bundle of 𝒯 s,p,n vanish.
Fang Hanlong, Zhu Songhao
doaj   +1 more source

Common and Distinct Components in Data Fusion [PDF]

, 2016
In many areas of science multiple sets of data are collected pertaining to the same system. Examples are food products which are characterized by different sets of variables, bio-processes which are on-line sampled with different instruments, or ...
Acar, Acar, Alter, Bevilacqua, Bookstein, Bro, Bro, Bylesjo, Consonni, Correa, Dahl, De Moor, De Moor, de Noord, Golub, Hanafi, Hotelling, Jansen, Kettenring, Kirwan, Lahat, Lips, Lock, Lofstedt, Lofstedt, Lynch, Mage, Mattarucchi, Naes, Pages, Paige, Peres-Neto, Petrakis, Ponnapalli, Ray, Schonemann, Schott, Schouteden, Shan, Sidiropoulos, Smilde, Smilde, Smilde, Srivastava, Szymanski, Tao, Tauler, Tenenhaus, Ten Berge, Tibshirani, Timmerman, Timmerman, Tomassini, Trygg, Trygg, Van de Geer, Van den Berg, Van den Berg, van der Burg, Van der Kloet, Van Deun, Van Deun, Van Deun, Van Loan, Van Mechelen, Westerhuis, Wilderjans, Yanai   +67 more
core   +17 more sources

Slow feature subspace: A video representation based on slow feature analysis for action recognition

Machine Learning with Applications, 2023
This paper proposes a new video representation for subspace-based action recognition. Traditional subspace-based methods represent a video as a subspace by applying principal component analysis (PCA) to its frames. However, this subspace might lead to an
Suzana Rita Alves Beleza, Erica K. Shimomoto, Lincon S. Souza, Kazuhiro Fukui   +3 more
doaj   +1 more source

Interpretive JIVE: Connections with CCA and an application to brain connectivity

Frontiers in Neuroscience, 2022
Joint and Individual Variation Explained (JIVE) is a model that decomposes multiple datasets obtained on the same subjects into shared structure, structure unique to each dataset, and noise.
Raphiel J. Murden, Zhengwu Zhang, Ying Guo, Benjamin B. Risk   +3 more
doaj   +1 more source

J-Self-Adjoint Projections in Krein Spaces

Journal of Function Spaces, 2020
Let ℋ be a Krein space with fundamental symmetry J. Starting with a canonical block-operator matrix representation of J, we study the regular subspaces of ℋ.
Xiao-Ming Xu, Yile Zhao
doaj   +1 more source

Aliasing and oblique dual pair designs for consistent sampling [PDF]

, 2014
In this paper we study some aspects of oblique duality between finite sequences of vectors $\cF$ and $\cG$ lying in finite dimensional subspaces $\cW$ and $\cV$, respectively.
Benac, Maria Jose, Massey, Pedro, Stojanoff, Demetrio   +2 more
core   +3 more sources

Fault Detection for High-Speed Trains Using CCA and Just-in-Time Learning

Machines, 2022
Online monitors of the running gears systems of high-speed trains play critical roles in ensuring operational safety and reliability. Status signals collected from high-speed train running gears are very complex regarding working environments, random ...
Hong Zheng, Keyuan Zhu, Chao Cheng, Zhaowang Fu   +3 more
doaj   +1 more source