A tutorial on distance metric learning: Mathematical foundations, algorithms, experimental analysis, prospects and challenges

JL Suárez, S García, F Herrera - Neurocomputing, 2021 - Elsevier
Distance metric learning is a branch of machine learning that aims to learn distances from
the data, which enhances the performance of similarity-based algorithms. This tutorial …

Multiple eigenvalues in structural optimization problems

AP Seyranian, E Lund, N Olhoff - Structural optimization, 1994 - Springer
This paper discusses characteristic features and inherent difficulties pertaining to the lack of
usual differentiability properties in problems of sensitivity analysis and optimum structural …

Optimal graph-filter design and applications to distributed linear network operators

S Segarra, AG Marques… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We study the optimal design of graph filters (GFs) to implement arbitrary linear
transformations between graph signals. GFs can be represented by matrix polynomials of …

[图书][B] Linear matrix inequalities in system and control theory

The basic topic of this book is solving problems from system and control theory using convex
optimization. We show that a wide variety of problems arising in system and control theory …

Semidefinite programming

L Vandenberghe, S Boyd - SIAM review, 1996 - SIAM
In semidefinite programming, one minimizes a linear function subject to the constraint that
an affine combination of symmetric matrices is positive semidefinite. Such a constraint is …

[图书][B] Variational analysis and generalized differentiation II: Applications

BS Mordukhovich - 2006 - Springer
Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

Domain adaptation: Learning bounds and algorithms

Y Mansour, M Mohri, A Rostamizadeh - arXiv preprint arXiv:0902.3430, 2009 - arxiv.org
This paper addresses the general problem of domain adaptation which arises in a variety of
applications where the distribution of the labeled sample available somewhat differs from …

[图书][B] Optimization of structural topology, shape, and material

MP Bendsøe - 1995 - Springer
This work is an attempt to provide a unified presentation of methods for the optimal design of
topology, shape and material for continuum and discrete structures. The emphasis is on …

Promoting global stability in data-driven models of quadratic nonlinear dynamics

AA Kaptanoglu, JL Callaham, A Aravkin, CJ Hansen… - Physical Review …, 2021 - APS
Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of
reduced-order models for a variety of scientific and engineering tasks. However, it is …

[图书][B] Numerical linear algebra and applications

BN Datta - 2010 - SIAM
Numerical Linear Algebra and Applications, 2nd Edition: Back Matter Page 1 page 501 i i i i
Bibliography E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du …