A survey on conic relaxations of optimal power flow problem

F Zohrizadeh, C Josz, M **, R Madani, J Lavaei… - European journal of …, 2020 - Elsevier
Conic optimization has recently emerged as a powerful tool for designing tractable and
guaranteed algorithms for power system operation. On the one hand, tractability is crucial …

Supervised discrete hashing

F Shen, C Shen, W Liu… - Proceedings of the IEEE …, 2015 - openaccess.thecvf.com
Recently, learning based hashing techniques have attracted broad research interests due to
the resulting efficient storage and retrieval of images, videos, documents, etc. However, a …

A feasible method for optimization with orthogonality constraints

Z Wen, W Yin - Mathematical Programming, 2013 - Springer
Minimization with orthogonality constraints (eg, X^ ⊤ X= I) and/or spherical constraints (eg,
‖ x ‖ _2= 1) has wide applications in polynomial optimization, combinatorial optimization …

Variational determination of the two‐electron reduced density matrix: A tutorial review

A Eugene DePrince III - Wiley Interdisciplinary Reviews …, 2024 - Wiley Online Library
The two‐electron reduced density matrix (2RDM) carries enough information to evaluate the
electronic energy of a many‐electron system. The variational 2RDM (v2RDM) approach …

A Newton-CG augmented Lagrangian method for semidefinite programming

XY Zhao, D Sun, KC Toh - SIAM Journal on Optimization, 2010 - SIAM
We consider a Newton-CG augmented Lagrangian method for solving semidefinite
programming (SDP) problems from the perspective of approximate semismooth Newton …

Alternating direction augmented Lagrangian methods for semidefinite programming

Z Wen, D Goldfarb, W Yin - Mathematical Programming Computation, 2010 - Springer
We present an alternating direction dual augmented Lagrangian method for solving
semidefinite programming (SDP) problems in standard form. At each iteration, our basic …

Efficient MR image reconstruction for compressed MR imaging

J Huang, S Zhang, D Metaxas - Medical Image Analysis, 2011 - Elsevier
In this paper, we propose an efficient algorithm for MR image reconstruction. The algorithm
minimizes a linear combination of three terms corresponding to a least square data fitting …

Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers

RDC Monteiro, BF Svaiter - SIAM Journal on Optimization, 2013 - SIAM
In this paper, we consider the monotone inclusion problem consisting of the sum of a
continuous monotone map and a point-to-set maximal monotone operator with a separable …

Fast alternating linearization methods for minimizing the sum of two convex functions

D Goldfarb, S Ma, K Scheinberg - Mathematical Programming, 2013 - Springer
We present in this paper alternating linearization algorithms based on an alternating
direction augmented Lagrangian approach for minimizing the sum of two convex functions …

Large-scale variational two-electron reduced-density-matrix-driven complete active space self-consistent field methods

J Fosso-Tande, TS Nguyen, G Gidofalvi… - Journal of chemical …, 2016 - ACS Publications
A large-scale implementation of the complete active space self-consistent field (CASSCF)
method is presented. The active space is described using the variational two-electron …