[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 …

A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils

J Li, W Li, SW Vong, QL Luo, MQ Xiao - Journal of Scientific Computing, 2020 - Springer
In this paper, based on the Riemannian optimization approach we propose a Riemannian
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

S Debnath, P Roy - Signal, Image and Video Processing, 2021 - Springer
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 …

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 …

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 …

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 …

Riemannian optimization with a preconditioning scheme on the generalized Stiefel manifold

B Shustin, H Avron - Journal of Computational and Applied Mathematics, 2023 - Elsevier
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 …

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 …

[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 …

User authentication system based on speech and cascade hybrid facial feature

S Debnath, P Roy - International Journal of Image and Graphics, 2020 - World Scientific
With the increasing demand for security in many fastest growing applications, biometric
recognition is the most prominent authentication system. User authentication through …