Data-driven learning-based optimization for distribution system state estimation

AS Zamzam, X Fu… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Distribution system state estimation (DSSE) is a core task for monitoring and control of
distribution networks. Widely used algorithms such as Gauss-Newton perform poorly with …

Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank- Terms, and a New Generalization

L Sorber, M Van Barel, L De Lathauwer - SIAM Journal on Optimization, 2013 - SIAM
The canonical polyadic and rank-(L_r,L_r,1) block term decomposition (CPD and BTD,
respectively) are two closely related tensor decompositions. The CPD and, recently, BTD are …

Structured data fusion

L Sorber, M Van Barel… - IEEE journal of selected …, 2015 - ieeexplore.ieee.org
We present structured data fusion (SDF) as a framework for the rapid prototy** of
knowledge discovery in one or more possibly incomplete data sets. In SDF, each data set …

Radio interferometric gain calibration as a complex optimization problem

OM Smirnov, C Tasse - Monthly Notices of the Royal …, 2015 - academic.oup.com
Recent developments in optimization theory have extended some traditional algorithms for
least-squares optimization of real-valued functions (Gauss–Newton, Levenberg–Marquardt …

Regularized orbital-optimized second-order Møller–Plesset perturbation theory: A reliable fifth-order-scaling electron correlation model with orbital energy dependent …

J Lee, M Head-Gordon - Journal of chemical theory and …, 2018 - ACS Publications
We derive and assess two new classes of regularizers that cope with offending
denominators in the single-reference second-order Møller–Plesset perturbation theory …

cubical – fast radio interferometric calibration suite exploiting complex optimization

JS Kenyon, OM Smirnov, TL Grobler… - Monthly Notices of the …, 2018 - academic.oup.com
It has recently been shown that radio interferometric gain calibration can be expressed
succinctly in the language of complex optimization. In addition to providing an elegant …

Optimization in quaternion dynamic systems: Gradient, hessian, and learning algorithms

D Xu, Y **a, DP Mandic - IEEE transactions on neural networks …, 2015 - ieeexplore.ieee.org
The optimization of real scalar functions of quaternion variables, such as the mean square
error or array output power, underpins many practical applications. Solutions typically …

Tensorlab 3.0—numerical optimization strategies for large-scale constrained and coupled matrix/tensor factorization

N Vervliet, O Debals… - 2016 50th Asilomar …, 2016 - ieeexplore.ieee.org
We give an overview of recent developments in numerical optimization-based computation
of tensor decompositions that have led to the release of Tensorlab 3.0 in March 2016 (www …

PMU missing data recovery using tensor decomposition

D Osipov, JH Chow - IEEE Transactions on Power Systems, 2020 - ieeexplore.ieee.org
The paper proposes a new approach for the recovery of missing data from phasor
measurement units (PMUs). The approach is based on the application of tensor …

The theory of quaternion matrix derivatives

D Xu, DP Mandic - IEEE Transactions on Signal Processing, 2015 - ieeexplore.ieee.org
A systematic framework for the calculation of the derivatives of quaternion matrix functions
with respect to quaternion matrix variables is introduced. The proposed approach is …