[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 …

Machine Learning Methods for Gene Selection in Uveal Melanoma

F Reggiani, Z El Rashed, M Petito, M Pfeffer… - International Journal of …, 2024 - mdpi.com
Uveal melanoma (UM) is the most common primary intraocular malignancy with a limited
five-year survival for metastatic patients. Limited therapeutic treatments are currently …

Evaluation and Comparison of Multi-Omics Data Integration Methods for Subtyping of Cutaneous Melanoma

A Amaro, M Pfeffer, U Pfeffer, F Reggiani - Biomedicines, 2022 - mdpi.com
There is a growing number of multi-domain genomic datasets for human tumors. Multi-
domain data are usually interpreted after separately analyzing single-domain data and …

Approximate joint singular value decomposition algorithm based on givens-like rotation

J Miao, G Cheng, Y Cai, J Xia - IEEE Signal Processing Letters, 2018 - ieeexplore.ieee.org
An approximate joint singular value decomposition algorithm is proposed for a set of K (K≥
2) complex matrices. It can be seen as an orthogonal non-Hermitian approximate joint …

Data fusion techniques for the integration of multi-domain genomic data from uveal melanoma

M Pfeffer, A Uschmajew, A Amaro, U Pfeffer - Cancers, 2019 - mdpi.com
Uveal melanoma (UM) is a rare cancer that is well characterized at the molecular level. Two
to four classes have been identified by the analyses of gene expression (mRNA, ncRNA) …

A trust-region framework for iteration solution of the direct INDSCAL problem in metric multidimensional scaling

X Zhou, C Li - Numerical Algorithms, 2024 - Springer
Abstract The well-known INdividual Differences SCALing (INDSCAL) model is intended for
the simultaneous metric multidimensional scaling (MDS) of several doubly centered …

Fast and Tuning-free Nonlinear Data Embedding and Integration based on DCOL

S Liu, T Yu - bioRxiv, 2024 - biorxiv.org
The rapid progress of single-cell technology has facilitated faster and more cost-effective
acquisition of diverse omics data, enabling biologists to unravel the intricacies of cell …

A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils

J Li, K Wang, Y Liu, X Duan… - Numerical Linear Algebra …, 2021 - Wiley Online Library
The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils,
proposed by Chu and Golub [SIAM J. Matrix Anal. Appl., 28 (2006), pp. 770‐787], can be …

Effective Algorithms for Solving Trace Minimization Problem in Multivariate Statistics

J Li, Y Wen, X Zhou, K Wang - Mathematical Problems in …, 2020 - Wiley Online Library
This paper develops two novel and fast Riemannian second‐order approaches for solving a
class of matrix trace minimization problems with orthogonality constraints, which is widely …

[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 …