[图书][B] Riemannian optimization and its applications
H Sato - 2021 - Springer
Mathematical optimization is an important branch of applied mathematics. Different classes
of optimization problems are categorized based on their problem structures. While there are …
of optimization problems are categorized based on their problem structures. While there are …
A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils
In this paper, based on the Riemannian optimization approach we propose a Riemannian
nonlinear conjugate gradient method with nonmonotone line search technique for solving …
nonlinear conjugate gradient method with nonmonotone line search technique for solving …
Appearance and shape-based hybrid visual feature extraction: toward audio–visual automatic speech recognition
Nowadays, audio–visual automatic speech recognition (AV-ASR) is an emerging field of
research, but there is still lack of proper visual features for visual speech recognition. Visual …
research, but there is still lack of proper visual features for visual speech recognition. Visual …
Manifold Optimization Empowered Two-Timescale Channel Estimation for RIS-Assisted Systems
Z Huang, C Liu, Y Song, H Wang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this paper, we propose a manifold optimization empowered two-timescale channel
estimation (MO-TTCE) scheme for reconfigurable intelligent surface (RIS)-assisted multiuser …
estimation (MO-TTCE) scheme for reconfigurable intelligent surface (RIS)-assisted multiuser …
Riemannian conjugate gradient method for complex singular value decomposition problem
H Sato - 53rd IEEE Conference on Decision and Control, 2014 - ieeexplore.ieee.org
In this paper, a Riemannian conjugate gradient method for a Riemannian optimization
problem related to the singular value decomposition of a complex matrix is developed. The …
problem related to the singular value decomposition of a complex matrix is developed. The …
Riemannian optimization methods for the truncated Takagi factorization
LC Kong, XS Chen - Numerical Algorithms, 2024 - Springer
This paper focuses on algorithms for the truncated Takagi factorization of complex symmetric
matrices. The problem is formulated as a Riemannian optimization problem on a complex …
matrices. The problem is formulated as a Riemannian optimization problem on a complex …
Riemannian optimization with a preconditioning scheme on the generalized Stiefel manifold
Optimization problems on the generalized Stiefel manifold (and products of it) are prevalent
across science and engineering. For example, in computational science they arise in …
across science and engineering. For example, in computational science they arise in …
Newton's method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
J Li, W Li, X Duan, M Xiao - Advances in Computational Mathematics, 2021 - Springer
The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils,
proposed by Chu et al. in 2006, can be formulated as an optimization problem on a …
proposed by Chu et al. in 2006, can be formulated as an optimization problem on a …
[PDF][PDF] A TRUST-REGION METHOD FOR SOLVING TRUNCATED COMPLEX SINGULAR VALUE DECOMPOSITION
J Li, L Kong, X Duan, X Zhou… - JOURNAL OF …, 2023 - doc.global-sci.org
The truncated singular value decomposition has been widely used in many areas of science
including engineering, and statistics, etc. In this paper, the original truncated complex …
including engineering, and statistics, etc. In this paper, the original truncated complex …
User authentication system based on speech and cascade hybrid facial feature
With the increasing demand for security in many fastest growing applications, biometric
recognition is the most prominent authentication system. User authentication through …
recognition is the most prominent authentication system. User authentication through …