Efficient implementation of interior-point methods for quantum relative entropy

M Karimi, L Tuncel - INFORMS Journal on Computing, 2024 - pubsonline.informs.org
Quantum relative entropy (QRE) programming is a recently popular and challenging class of
convex optimization problems with significant applications in quantum computing and …

Improving the condition number of estimated covariance matrices

JM Tabeart, SL Dance, AS Lawless… - Tellus A: Dynamic …, 2020 - Taylor & Francis
High dimensional error covariance matrices and their inverses are used to weight the
contribution of observation and background information in data assimilation procedures. As …

Presolving for mixed-integer semidefinite optimization

F Matter, ME Pfetsch - INFORMS Journal on Optimization, 2023 - pubsonline.informs.org
This paper provides a discussion and evaluation of presolving methods for mixed-integer
semidefinite programs. We generalize methods from the mixed-integer linear case and …

Synthetic turbulence modelling for offshore wind farm engineering models using coherence aggregation

V Chabaud - Wind Energy, 2024 - Wiley Online Library
Turbulent wind fields are known to be a major driver for structural loads and power
fluctuations on offshore wind turbines. At the single‐turbine scale, there exist well …

[PDF][PDF] Differentially Private Correlation Alignment for Domain Adaptation.

K Jin, X Cheng, J Yang, K Shen - IJCAI, 2021 - ijcai.org
Abstract Domain adaptation solves a learning problem in a target domain by utilizing the
training data in a different but related source domain. As a simple and efficient method for …

Explicit solutions to correlation matrix completion problems, with an application to risk management and insurance

DI Georgescu, NJ Higham… - Royal Society open …, 2018 - royalsocietypublishing.org
We derive explicit solutions to the problem of completing a partially specified correlation
matrix. Our results apply to several block structures for the unspecified entries that arise in …

Resolution of degeneracy in Merton's portfolio problem

CS Pun, HY Wong - SIAM Journal on Financial Mathematics, 2016 - SIAM
The Merton problem determines the optimal intertemporal portfolio choice by maximizing the
expected utility and is the basis of modern portfolio theory in continuous-time finance …

Subspace acceleration for the Crawford number and related eigenvalue optimization problems

D Kressner, D Lu, B Vandereycken - SIAM Journal on Matrix Analysis and …, 2018 - SIAM
This paper is concerned with subspace acceleration techniques for computing the Crawford
number, that is, the distance between zero and the numerical range of a matrix A. Our …

[PDF][PDF] Modified Cholesky decomposition and applications

T McSweeney - 2017 - mcsweeney90.github.io
An n× n symmetric matrix A is called positive definite if xT Ax> 0 for all nonzero vectors x∈
Rn [36, p. 196]. It is positive semidefinite if the inequality is not strict. The concepts of …

[HTML][HTML] Accuracy of approximate projection to the semidefinite cone

PJ Goulart, Y Nakatsukasa, N Rontsis - Linear Algebra and its Applications, 2020 - Elsevier
When a projection of a symmetric or Hermitian matrix to the positive semidefinite cone is
computed approximately (or to working precision on a computer), a natural question is to …