Publications related to Duality (optimization)

A first-order primal-dual method with adaptivity to local smoothness

We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

2021

Integrating advanced discrete choice models in mixed integer linear optimization

Michel Bierlaire, Bernard Gendron

In many transportation systems, a mismatch between the associated design and planning decisions and the demand is typically encountered. A tailored system is not only appealing to operators, which could have a better knowledge of their operational costs, b ...

PERGAMON-ELSEVIER SCIENCE LTD2021

Wind Farm Area Shape Optimization Using Newly Developed Multi-Objective Evolutionary Algorithms

Fernando Porté Agel, Nicolas Otto Kirchner Bossi

In recent years, wind farm layout optimization (WFLO) has been extendedly developed to address the minimization of turbine wake effects in a wind farm. Considering that increasing the degrees of freedom in the decision space can lead to more efficient solu ...

MDPI2021

Innovative Renewable Technology Integration for Nearly Zero-Energy Buildings within the Re-COGNITION Project

Alessandro Francesco Aldo Virtuani

With the 2010/31/EU directive, all new buildings shall be nearly zero-energy buildings (nZEB) from 2020 onward, with the aim of strongly reducing the energy consumption related to the building sector. To achieve this goal, it is not sufficient to focus on ...

MDPI2021

Data-Driven LPV Controller Design for Islanded Microgrids

Alireza Karimi, Seyed Sohail Madani

This paper presents a data-driven multivariable Linear Parameter Varying (LPV) controller design method. The synthesis process is based on frequency-domain data corresponding to different operating points of the plant. The performance and also stability co ...

ELSEVIER2021

STORM+: Fully Adaptive SGD with Momentum for Nonconvex Optimization

Volkan Cevher, Ali Kavis

In this work we investigate stochastic non-convex optimization problems wherethe objective is an expectation over smooth loss functions, and the goal is to find an approximate stationary point. The most popular approach to handling such problems is varianc ...

2021

Design of adaptive structures through energy minimization: extension to tensegrity

Gennaro Senatore, Yafeng Wang

This paper gives a new formulation to design adaptive structures through total energy optimization (TEO). This methodology enables the design of truss as well as tensegrity configurations that are equipped with linear actuators to counteract the effect of ...

2021

Distributed Predictive Drone Swarms in Cluttered Environments

Dario Floreano, Fabrizio Schiano, Enrica Soria

Recent works in aerial robotics show that the self-organized and cohesive flight of swarms can emerge from the exchange of purely local information between neighboring agents. However, most of the current swarm models are not capable of flight in densely c ...

2021

Last iterate convergence of SGD for Least-Squares in the Interpolation regime

Nicolas Henri Bernard Flammarion, Aditya Vardhan Varre, Loucas Pillaud-Vivien

Motivated by the recent successes of neural networks that have the ability to fit the data perfectly \emph{and} generalize well, we study the noiseless model in the fundamental least-squares setup. We assume that an optimum predictor fits perfectly inputs ...

2021

Smart charging of electric vehicles under uncertainty

Electric vehicles’ market penetration has been rising due to new technological developments and awareness of the climate change threat. Instead of being a burden for today’s electricity production, such as increasing peak demands, they can also have a posi ...

2021

Duality (optimization)

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A first-order primal-dual method with adaptivity to local smoothness

Integrating advanced discrete choice models in mixed integer linear optimization

Wind Farm Area Shape Optimization Using Newly Developed Multi-Objective Evolutionary Algorithms

Innovative Renewable Technology Integration for Nearly Zero-Energy Buildings within the Re-COGNITION Project

Data-Driven LPV Controller Design for Islanded Microgrids

STORM+: Fully Adaptive SGD with Momentum for Nonconvex Optimization

Design of adaptive structures through energy minimization: extension to tensegrity

Distributed Predictive Drone Swarms in Cluttered Environments

Last iterate convergence of SGD for Least-Squares in the Interpolation regime

Smart charging of electric vehicles under uncertainty

A first-order primal-dual method with adaptivity to local smoothness

Wind Farm Area Shape Optimization Using Newly Developed Multi-Objective Evolutionary Algorithms

Data-Driven LPV Controller Design for Islanded Microgrids

Innovative Renewable Technology Integration for Nearly Zero-Energy Buildings within the Re-COGNITION Project

Design of adaptive structures through energy minimization: extension to tensegrity

Integrating advanced discrete choice models in mixed integer linear optimization

STORM+: Fully Adaptive SGD with Momentum for Nonconvex Optimization

Last iterate convergence of SGD for Least-Squares in the Interpolation regime

Smart charging of electric vehicles under uncertainty

Distributed Predictive Drone Swarms in Cluttered Environments