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[KNYGA][B] Optimization for machine learning
An up-to-date account of the interplay between optimization and machine learning,
accessible to students and researchers in both communities. The interplay between …
accessible to students and researchers in both communities. The interplay between …
Interior point methods 25 years later
J Gondzio - European Journal of Operational Research, 2012 - Elsevier
Interior point methods for optimization have been around for more than 25 years now. Their
presence has shaken up the field of optimization. Interior point methods for linear and …
presence has shaken up the field of optimization. Interior point methods for linear and …
Interior point methods for nonlinear optimization
IM Bomze, VF Demyanov, R Fletcher, T Terlaky… - … in Cetraro, Italy, July 1-7 …, 2010 - Springer
Interior-point methods (IPMs) are among the most efficient methods for solving linear, and
also wide classes of other convex optimization problems. Since the path-breaking work of …
also wide classes of other convex optimization problems. Since the path-breaking work of …
Solution techniques for transient stability‐constrained optimal power flow–Part I
This series of studies present the state‐of‐the‐art for the solution of the transient stability
constrained optimal power flow problem (TSC‐OPF). Three different classes of solution …
constrained optimal power flow problem (TSC‐OPF). Three different classes of solution …
Exploring the power of graph neural networks in solving linear optimization problems
Recently, machine learning, particularly message-passing graph neural networks (MPNNs),
has gained traction in enhancing exact optimization algorithms. For example, MPNNs speed …
has gained traction in enhancing exact optimization algorithms. For example, MPNNs speed …
Matrix-free interior point method
J Gondzio - Computational Optimization and Applications, 2012 - Springer
In this paper we present a redesign of a linear algebra kernel of an interior point method to
avoid the explicit use of problem matrices. The only access to the original problem data …
avoid the explicit use of problem matrices. The only access to the original problem data …
New developments in the primal–dual column generation technique
The optimal solutions of the restricted master problems typically leads to an unstable
behavior of the standard column generation technique and, consequently, originates an …
behavior of the standard column generation technique and, consequently, originates an …
A computational study of a solver system for processing two-stage stochastic LPs with enhanced Benders decomposition
V Zverovich, CI Fábián, EFD Ellison, G Mitra - Mathematical Programming …, 2012 - Springer
We report a computational study of two-stage SP models on a large set of benchmark
problems and consider the following methods:(i) Solution of the deterministic equivalent …
problems and consider the following methods:(i) Solution of the deterministic equivalent …
A massively parallel interior-point solver for LPs with generalized arrowhead structure, and applications to energy system models
Linear energy system models are a crucial component of energy system design and
operations, as well as energy policy consulting. If detailed enough, such models lead to …
operations, as well as energy policy consulting. If detailed enough, such models lead to …
On Mehrotra-type predictor-corrector algorithms
In this paper we discuss the polynomiality of a feasible version of Mehrotra's predictor-
corrector algorithm whose variants have been widely used in several interior point method …
corrector algorithm whose variants have been widely used in several interior point method …