David Salas Videla Profesor Asociado

David Salas
Grado Académico

Matemáticas y Modelamiento, Université de Montpellier, Francia

Título(s) Profesional

Ingeniero Civil Matemático, Universidad de Chile

Descripción

David Salas realizó sus estudios de pregrado en la Facultad de Ciencias Físicas y Matemáticas de la Universidad de Chile. Posteriormente, hizo sus estudios doctorales en la Universidad de Montpellier (Francia) bajo la dirección de Lionel Thibault. Su tesis doctoral trató de diferentes problemáticas de geometría en espacios de dimensión infinita. Realizó dos años de post-doctorado en el laboratorio PROMES de la Universidad de Perpignan (Francia), donde realizó investigaciones relacionadas con teoría de juegos, energías renovables y uso eficiente de recursos naturales. Cuenta con varias publicaciones ISI en diversas áreas de la matemática, tanto teóricas como aplicadas.

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  • REVISTA Journal of Energy Storage
  • 2024

Multidimensional analysis for the techno-economic study of the CSP plant


• Daniel Lasluisa • David Sebastián Salas Videla • Nathalie Mazet • Didier Aussel

http://dx.doi.org/10.1016/j.est.2024.110732

  • REVISTA Mathematische Zeitschrift
  • 2024

Metric compatibility and determination in complete metric spaces


• Aris Daniilidis • Tri Minh Le • David Sebastián Salas Videla

http://dx.doi.org/10.1007/s00209-024-03609-2

  • REVISTA Mathematical Programming
  • 2024

Exploiting the polyhedral geometry of stochastic linear bilevel programming


• Gonzalo Ignacio Muñoz Martínez • David Sebastián Salas Videla • Anton Kristoffer Svensson Graan

http://dx.doi.org/10.1007/s10107-024-02097-w

  • REVISTA Mathematical Programming
  • 2024

A slope generalization of Attouch theorem


• Aris Daniilidis • David Sebastián Salas Videla • Sebastián Tapia-García

http://dx.doi.org/10.1007/s10107-024-02108-w

  • REVISTA Set-Valued and Variational Analysis
  • 2024

Steepest Geometric Descent for Regularized Quasiconvex Functions


• David Sebastián Salas Videla • Aris Daniilidis

http://dx.doi.org/10.1007/s11228-024-00731-5

  • REVISTA Journal of Functional Analysis
  • 2024

Descent modulus and applications


• Aris Daniilidis • Laurent Miclo • David Sebastián Salas Videla

http://dx.doi.org/10.1016/j.jfa.2024.110626

  • REVISTA SIAM Journal on Optimization
  • 2023

Existence of solutions for deterministic bilevel games under a general Bayesian approach


• David Sebastián Salas Videla • Anton Kristoffer Svensson Graan

http://dx.doi.org/10.1137/21M1442164

  • REVISTA Energy Economics
  • 2023

Optimal design of exchange water networks with control inputs in Eco-Industrial Parks


• Didier Aussel • Kien Cao Van • David Sebastián Salas Videla

http://dx.doi.org/10.1016/j.eneco.2022.106480

  • REVISTA Integer Programming and Combinatorial Optimization
  • 2023

Exploiting the Polyhedral Geometry of Stochastic Linear Bilevel Programming


• Gonzalo Muñoz • David Sebastián Salas Videla • Anton Kristoffer Svensson Graan

http://dx.doi.org/10.1007/978-3-031-32726-1_26

  • REVISTA Computers & Chemical Engineering
  • 2023

Robustness in optimal design of Eco-Industrial Parks under the lens of two-stage stochastic optimization


• Gianfranco Liberona Henriquez • Alessandro Di Pretoro • Stéphane Negny • Ludovic Montastruc • David Sebastián Salas Videla

http://dx.doi.org/10.1016/j.compchemeng.2023.108399

  • REVISTA Computational Management Science
  • 2023

The Value of Shared Information for allocation of drivers in ride-hailing: a proof-of-concept study


• Gianfranco Liberona Henriquez • David Sebastián Salas Videla • Léonard von Niederhaüsern

http://dx.doi.org/10.1007/s10287-023-00487-7

  • REVISTA Proceedings of the American Mathematical Society
  • 2022

Determination of functions by metric slopes


• Aris Daniilidis • David Sebastián Salas Videla

http://dx.doi.org/10.1090/proc/15958

  • REVISTA Journal of Mathematical Analysis and Applications
  • 2021

Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection


• David Sebastián Salas Videla • Lionel Thibault

http://dx.doi.org/10.1016/j.jmaa.2020.124588

  • REVISTA SIAM J. Optimization
  • 2021

Existence results for Generalized Nash Equilibrium Problems under continuity-like properties of sublevel sets


• Didier Aussel • Kien Cao Van • David Sebastián Salas Videla

http://dx.doi.org/10.1137/20M1353629

  • REVISTA Energies
  • 2021

Innovative Application of Model-Based Predictive Control for Low-Voltage Power Distribution Grids with Significant Distributed Generation


• Nouha Dkhili • David Sebastián Salas Videla • Julien Eynard • Stéphane Thil • Stéphane Grieu

http://dx.doi.org/10.3390/en14061773

  • REVISTA Mathematical Programming
  • 2020

Determination of convex functions via subgradients of minimal norm


• Pedro Pérez Aros • David Sebastián Salas Videla • Emilio José Vilches Gutiérrez

http://dx.doi.org/10.1007/s10107-020-01550-w

  • REVISTA Computers & Chemical Engineering
  • 2020

Optimal design of exchange networks with blind inputs and its application to Eco-industrial parks


• David Sebastián Salas Videla • Kien Cao Van • Didier Aussel • Ludovic Montastruc

http://dx.doi.org/10.1016/j.compchemeng.2020.107053

  • REVISTA IFAC-PapersOnLine
  • 2020

An Application of Model-based Predictive Control for Renewables-intensive Power Distribution Grids


• Nouha Dkhili • David Sebastián Salas Videla • Julien Eynard • Stéphane Thil • Stéphane Grieu

http://dx.doi.org/10.1016/j.ifacol.2020.12.155

  • REVISTA J. Convex Anal.
  • 2020

On formulae for the Ioffe geometric subdifferential of supremum function


• Pedro Pérez Aros • David Sebastián Salas Videla • Emilio José Vilches Gutiérrez
  • REVISTA SIAM Journal on Optimization
  • 2019

Quasi-Variational Inequality Problems over Product Sets with Quasi-monotone Operators


• Didier Aussel • Kien Cao Van • David Sebastián Salas Videla

http://dx.doi.org/10.1137/18M1191270

  • REVISTA Discrete & Continuous Dynamical Systems - A
  • 2019

On smoothness of solutions to projected differential equations


• David Sebastián Salas Videla • Lionel Thibault • Emilio José Vilches Gutiérrez

http://dx.doi.org/10.3934/dcds.2019095

  • REVISTA Energy Conversion and Management
  • 2018

Economical optimization of thermochemical storage in concentrated solar power plants via pre-scenarios


• David Sebastián Salas Videla • Emeric Tapachès • Nathalie Mazet • Didier Aussel

http://dx.doi.org/10.1016/j.enconman.2018.08.079

  • REVISTA Journal of Mathematical Analysis and Applications
  • 2018

Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces


• Rafael Correa • David Sebastián Salas Videla • Lionel Thibault

http://dx.doi.org/10.1016/j.jmaa.2016.08.064

  • REVISTA Studia Mathematica
  • 2018

Convex smooth-like properties and Faces Radon-Nikodým property in Banach spaces


• David Sebastián Salas Videla

http://dx.doi.org/10.4064/sm8440-3-2017

  • REVISTA Topology and its Applications
  • 2016

Extended seminorms and extended topological vector spaces


• David Sebastián Salas Videla • Sebastián Tapia-García

http://dx.doi.org/10.1016/j.topol.2016.08.001

  • REVISTA Journal of Convex Analysis
  • 2016

Integration of Nonconvex Epi-Pointed Functions in Locally Convex Spaces


• Rafael Correa • David Sebastián Salas Videla • Lionel Thibault
  • 23-MATH-13
  • Junio 2024 - Abril 2024
En EjecuciónGobierno Regional - GORE

TRANSFERENCIA SUPERCOMPUTACIÓN PARA INNOVACIÓN EN SALUD REGIONAL: HPC-UOH Y HRLBO
Co-Investigador/a
  • 23-MATH-13
  • Mayo 2024 - Abril 2024
En EjecuciónAgencia Nacional de Investigación y Desarrollo - ANID

El monto corresponde a 23500 EUR con tasa de conversión de 1022,47 CLP/EUR. Este es el presupuesto asignado para el primer año.
Investigador/a Responsable
  • 3210735
  • Abril 2024 - Abril 2024
En EjecuciónAgencia Nacional de Investigación y Desarrollo - ANID

Chile, Peru and France, as well as many countries in South America and Europe, share a very similar systems to deal with their electricity markets. In parallel, all three countries (together with the rest of the world) are being affected by climate change in many aspects, such as scarcity of water, intense droughts, pollution and the greenhouse effect, the necessity of new energy sources, just to name a few. To face these challenges, we need new technology coming from many fields of science. One of such fields is mathematics and in particular, stochastic optimization and game theory. These theoretical fields allow us to model economic interactions, management solutions, optimal design and operations, among many other relevant aspects of Natural Resources and Energy Management. In the present project, we propose to develop new theoretical and numerical advances in four research lines, concerning Stochastic Optimization and Game Theory. Namely, we will work on: 1) Continuity-like properties in Equilibrium problems; 2) Regularity in Generalized Equilibrium problems; 3) Bilevel games with decision-dependent uncertainty; and 4) Algorithms and mechanism design in learning games. The four research lines are strongly motivated by the aforementioned applications.
Investigador/a Responsable
  • 11220586
  • Marzo 2022 - Marzo 2025
En EjecuciónAgencia Nacional de Investigación y Desarrollo - ANID

Estudio de problemas de optimización y juegos con incertidumbre dependiente de decisiones. Estudio a nivel teórico y algorítmico. Estudio de aplicaciones.
Investigador/a Responsable
  • PRONEX
  • Marzo 2022 - Diciembre 2029
AdjudicadoAgencia Nacional de Investigación y Desarrollo - ANID

El Centro de Modelamiento Matemático (CMM) es un centro científico líder en Chile para la investigación y aplicaciones de las matemáticas. Fue inaugurado en abril del 2000 y forma parte de la Facultad de Ciencias Físicas y Matemáticas (FCFM) de la Universidad de Chile, en la que se encuentra la principal y más antigua escuela de ingeniería del país. Su objetivo es crear nuevas matemáticas y utilizarlas para resolver problemas provenientes de otras ciencias, la industria y las políticas públicas.
Co-Investigador/a
  • MSM2021003
  • Julio 2021 - Julio 2023
FinalizadoUniversidad de O'Higgins

En este proyecto, se busca general nuevas tecnologías que permitan mejorar el manejo de recursos hídricos en la sexta región. Director de línea "Gestión de Riego Intrapredial con Inteligencia Artificial"
Investigador/a Responsable
  • 3210735
  • Abril 2021 - Abril 2024
FinalizadoAgencia Nacional de Investigación y Desarrollo - ANID

Stochasticity in optimization and game theory is a very important aspect to model more accurately real-world problems in many different areas (see for instance [6]). In optimization problems as well as in one-level games, namely, Nash equilibrium problems, stochasticity aspects have received quite a lot of attention for a while and have also been well studied [22]. However, for the branch of bilevel games quite few studies have included in their analysis stochastic aspects in their models. A bilevel game is basically to split a finite set of players into two levels: the leaders or upper-level players, and the followers or lower-level players. In the model, the followers react in a passive way to the leaders' actions, while the leaders compete in the upper level trying to actively anticipate the followers' reaction. Moreover, in each level, the interaction is non-cooperative as in Nash equilibrium problems. Bilevel games have been recognized as one of the most complex and at the same time very useful models in the literature [17]. Bilevel games, and more precisely the problem of the leaders in a bilevel game, face an ambiguity/uncertainty whenever the followers' reaction is not necessarily uniquely determined for each leaders' decision. To deal with this ambiguity two main approaches are well-known the optimistic and the pessimistic. The weakness of these two approaches is that both are quite extreme and the optimistic one lacks of real modeling foundations, putting the leaders in a quite naive position. Recently, in [9] a general stochastic approach has been proposed to solve this ambiguity, which is seen as an uncertainty of the problem, providing also a specific approach that seems to be more reasonable than the optimistic one, from a modeling point of view. The stochasticity in the stochastic approach is an endogenous one since it corresponds to a decision-dependent uncertainty [1, 23]. But, of course, stochasticity might also come from an exogenous side, that is, when some of the parameters defining the game, such as future demand and prices, 1 forecasts of winds and clouds, are uncertain and possibly follow some probability distribution. This has been considered in [34, 12, 13, 16]. In the second part of the project, which is the applied part, we are interested in using the developed theoretical framework of bilevel games with stochastic aspects to a problem of contaminated water resource management, which has high levels of stochasticity. The scarcity of water resource and its efficient use has been recognized as an extremely important problem in Chile and the whole world, for agricultural, industrial, and human use. Moreover, after any use, there is an outflow of water which has generally more contaminants than the inflow. Depending on the type and quantity of contaminants the outflow of water could be reused, but sometimes giving less profit to the entity. The general situation is full of uncertainties, since the entities do not share their information. Moreover, the main source of information for us will be measurements on the quality of water at different strategic points and punctual events of contamination registered by inspection, which is simply a qualitative data. Therefore, we propose first to apply predictive models and machine learning to do inverse engineering in order to understand the game played by the different actors. Then we want to study the underlying one-level game and study the design of mechanisms (bilevel game) so that we can move the equilibrium to a desired goal. In a somehow similar spirit, in [30, 31, 10] game theory techniques have been used to analyze the behavior of companies sharing contaminated water in the context of eco-industrial parks, while in [36] also a bilevel model is used for a water resource optimal allocation problem.
Patrocinante
  • MSM2021003
  • Enero 2020 - Diciembre 2021
En EjecuciónUniversidad de O'Higgins

Stochastic Optimization and Chance Constraints with Applications to Energy (SOCCAE)

Co-Investigador/a
  • 3190229
  • Marzo 2019 - Marzo 2022
FinalizadoAgencia Nacional de Investigación y Desarrollo - ANID

Nonsmooth dynamical system involving regular structures
Investigador/a Responsable
Mail de contacto

david.salas@uoh.cl