Inverse problems and optimization

M. I. Berenguer Maldonado, D. Gámez Domingo, A. I. Garralda Guillem, M. Ruiz Galán

In the study of inverse problems, the determination of certain parameters associated with a given model has been approached from different perspectives. One of them, which has been fruitfull, is the one based on several versions of the so-called Collage theorem, which is a simple but powerful consequence of Banach's fixed point theorem. Specifically, this result transforms the parameter estimation problem into another one of minimization related to a certain family of collage distances. In this talk, first we illustrate this procedure by presenting a generalized version of the Collage theorem. Schauder bases are then introduced to approximate the optimization problem. We finish by showing the application of the results to parameter estimation in two different contexts: a pollution diffusion model and an interval integral equation.

Keywords: Inverse problem, Interval equations, Schauder bases

Scheduled

GT11 Continuous Optimization IV
June 10, 2022  10:10 AM
A12

Other papers in the same session

Smart thermostat thermal random models for residential buildings

M. Sama, J. Arias

New characterizations of the weak property ($\pi$) in locally convex spaces

F. García Castaño, M. Á. Melguizo Padial, G. Parzanese

Relationships between approximate solutions of the optimization problem and vector variational problems on Hadamard spaces

G. Ruiz-Garzón, A. Rufián-Lizana, R. Osuna-Gómez, B. Hernández-Jiménez

Latest news

  • 6/8/22
    Visit Alhambra

    Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.

  • 5/31/22
    YouTube Channel

    The menu label is already on the web from where you can see the live broadcasts: inauguration, plenary sessions, round tables,... Don't forget to enter the YouTube channel and subscribe!!!!

  • 5/27/22
    Gala Dinner

    It opens the possibility that anyone who is registered for the conference, and wants non-registered companions to attend the gala dinner, can do so by paying the price of this dinner (80 euros VAT included). This payment must be made before June 1 (inclusive). To do this, contact with [email protected]

  • 5/23/22
    IMPORTANT WARNING

    To access the Alhambra on the visit on Thursday 9, it is obligatory to present the identification document whose reference was sent to the organization (eurocongress)

  • 5/16/22
    Social Events

    All social events are included with the payment of the corresponding registration.

Organizers

Partners

Sponsors

Cookie policy

We use cookies in order to be able to identify and authenticate you on the website. They are necessary for the correct functioning of it, and therefore they can not be disabled. If you continue browsing the website, you are agreeing with their acceptance, as well as our Privacy Policy.

Additionally, we use Google Analytics in order to analyze the website traffic. They also use cookies and you can accept or refuse them with the buttons below.

You can read more details about our Cookie Policy and our Privacy Policy.