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Randomized methods for linear constraints: convergence rates and conditioning
We study randomized variants of two classical algorithms: coordinate descent for systems of
linear equations and iterated projections for systems of linear inequalities. Expanding on a …
linear equations and iterated projections for systems of linear inequalities. Expanding on a …
A bounded-error approach to piecewise affine system identification
This paper proposes a three-stage procedure for parametric identification of piecewise affine
autoregressive exogenous (PWARX) models. The first stage simultaneously classifies the …
autoregressive exogenous (PWARX) models. The first stage simultaneously classifies the …
[BOK][B] Feasibility and Infeasibility in Optimization:: Algorithms and Computational Methods
JW Chinneck - 2007 - books.google.com
Constrained optimization models are core tools in business, science, government, and the
military with applications including airline scheduling, control of petroleum refining …
military with applications including airline scheduling, control of petroleum refining …
Quantile-based iterative methods for corrupted systems of linear equations
Often in applications ranging from medical imaging and sensor networks to error correction
and data science (and beyond), one needs to solve large-scale linear systems in which a …
and data science (and beyond), one needs to solve large-scale linear systems in which a …
Improving Benders decomposition using maximum feasible subsystem (MFS) cut generation strategy
A new multi-generation of cuts algorithm is presented in this paper to improve the efficiency
of Benders decomposition approach for the cases that optimality cuts are difficult to be …
of Benders decomposition approach for the cases that optimality cuts are difficult to be …
A relaxable service selection algorithm for QoS-based web service composition
CONTEXT: Web Services are emerging technologies that enable application to application
communication and reuse of autonomous services over Web. Composition of web services …
communication and reuse of autonomous services over Web. Composition of web services …
A greedy approach to identification of piecewise affine models
This paper addresses the problem of identification of piecewise affine (PWA) models. This
problem involves the estimation from data of both the parameters of the affine submodels …
problem involves the estimation from data of both the parameters of the affine submodels …
Quantile-based random Kaczmarz for corrupted linear systems of equations
S Steinerberger - Information and Inference: A Journal of the IMA, 2023 - academic.oup.com
We consider linear systems where consists of normalized rows,, and where up to entries of
have been corrupted (possibly by arbitrarily large numbers). Haddock, Needell, Rebrova & …
have been corrupted (possibly by arbitrarily large numbers). Haddock, Needell, Rebrova & …
On the maximum feasible subsystem problem, IISs and IIS-hypergraphs
We consider the Max FS problem: For a given infeasible linear system A x≤ b, determine a
feasible subsystem containing as many inequalities as possible. This problem, which is NP …
feasible subsystem containing as many inequalities as possible. This problem, which is NP …
The maximum feasible subset problem (maxfs) and applications
JW Chinneck - INFOR: Information Systems and Operational …, 2019 - Taylor & Francis
The maximum feasible subset problem (maxFS) is this: given an infeasible set of constraints,
find a largest cardinality subset that admits a feasible solution. This problem is NP-hard but …
find a largest cardinality subset that admits a feasible solution. This problem is NP-hard but …