Predictive assessment of single‐step BLUP with linear and non‐linear similarity RKHS kernels: A case study in chickens

2021 ◽  
Author(s):  
Mehdi Momen ◽  
Andreas Kranis ◽  
Guilherme J. M. Rosa ◽  
Peter Muir ◽  
Daniel Gianola
Keyword(s):  
Single Step ◽  
Non Linear ◽  
Predictive Assessment

scholarly journals Bi-objective design-for-control of water distribution networks with global bounds

2021 ◽  
Author(s):  
Aly-Joy Ulusoy ◽  
Filippo Pecci ◽  
Ivan Stoianov
Keyword(s):  
Water Distribution ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Mixed Integer ◽  
Global Optimality ◽  
Linear Programs ◽  
Design For Control ◽  
Non Linear ◽  
Feasible Solutions

AbstractThis manuscript investigates the design-for-control (DfC) problem of minimizing pressure induced leakage and maximizing resilience in existing water distribution networks. The problem consists in simultaneously selecting locations for the installation of new valves and/or pipes, and optimizing valve control settings. This results in a challenging optimization problem belonging to the class of non-convex bi-objective mixed-integer non-linear programs (BOMINLP). In this manuscript, we propose and investigate a method to approximate the non-dominated set of the DfC problem with guarantees of global non-dominance. The BOMINLP is first scalarized using the method of $$\epsilon $$ ϵ -constraints. Feasible solutions with global optimality bounds are then computed for the resulting sequence of single-objective mixed-integer non-linear programs, using a tailored spatial branch-and-bound (sBB) method. In particular, we propose an equivalent reformulation of the non-linear resilience objective function to enable the computation of global optimality bounds. We show that our approach returns a set of potentially non-dominated solutions along with guarantees of their non-dominance in the form of a superset of the true non-dominated set of the BOMINLP. Finally, we evaluate the method on two case study networks and show that the tailored sBB method outperforms state-of-the-art global optimization solvers.

A NON-LINEAR MODEL FOR OPTIMAL ALLOCATION OF IRRIGATION WATER AND LAND UNDER ADEQUATE AND LIMITED WATER SUPPLIES: A CASE STUDY IN SOUTHERN ITALY

2013 ◽  
Vol 62 (2) ◽  
pp. 145-155 ◽  
Author(s):  
Pietro Rubino ◽  
Anna Maria Stellacci ◽  
Roberta M. Rana ◽  
Maurizia Catalano ◽  
Angelo Caliandro
Keyword(s):  
Linear Model ◽  
Irrigation Water ◽  
Optimal Allocation ◽  
Southern Italy ◽  
Water Supplies ◽  
Non Linear

scholarly journals Manifold Calculus in System Theory and Control—Fundamentals and First-Order Systems

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2092
Author(s):  
Simone Fiori
Keyword(s):  
Control Systems ◽  
Linear Systems ◽  
Linear Control Systems ◽  
First Order ◽  
Curved Manifolds ◽  
Non Linear ◽  
Covariant Derivation ◽  
Non Linear Systems ◽  
And Control

The aim of the present tutorial paper is to recall notions from manifold calculus and to illustrate how these tools prove useful in describing system-theoretic properties. Special emphasis is put on embedded manifold calculus (which is coordinate-free and relies on the embedding of a manifold into a larger ambient space). In addition, we also consider the control of non-linear systems whose states belong to curved manifolds. As a case study, synchronization of non-linear systems by feedback control on smooth manifolds (including Lie groups) is surveyed. Special emphasis is also put on numerical methods to simulate non-linear control systems on curved manifolds. The present tutorial is meant to cover a portion of the mentioned topics, such as first-order systems, but it does not cover topics such as covariant derivation and second-order dynamical systems, which will be covered in a subsequent tutorial paper.

Prediction of non-linear site response using downhole array data and numerical modeling: The Belleplaine (Guadeloupe) case study

2017 ◽  
Vol 98 ◽  
pp. 107-118 ◽  
Author(s):  
Luis Fabian Bonilla ◽  
Philippe Guéguen ◽  
Fernando Lopez-Caballero ◽  
E. Diego Mercerat ◽  
Céline Gélis
Keyword(s):  
Numerical Modeling ◽  
Site Response ◽  
Array Data ◽  
Non Linear ◽  
Downhole Array
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