MOCAO lectures: recordings are now available on our YouTube channel
Dear MOCAO lectures presenters and participants. Thank you very much for your participation.
The recordings are now available on our YouTube Channel:
Month: July 2024
MOCAO lectures, July, 19
The last talk is tomorrow (11AM, AEST)
Speaker: Bruno F. Lourenço
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Title: Facial reduction and applications
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Abstract:
Conic linear programs (CLPs) are a far-reaching generalization of classical linear programs. However, general CLPs may suffer from certain theoretical illnesses that make them significantly more challenging to solve in comparison to LPs.
In this context, facial reduction, a technique originally developed by Borwein and Wolkowicz, can be used to improve the theoretical properties of CLPs and make them more manageable.
In this lecture, we will present a basic overview of facial reduction together with a few applications and recent developments.
Zoom:
https://unsw.zoom.us/j/89239495027?pwd=zMmvAkAmFZVQ4SzBhQkz6CuH4nuxwu.1
Registration for urgent updates: https://forms.gle/CGhNt3bssmqLMXcj6
Looking forward to seeing you tomorrow.
Nadia
MOCAO lectures: July, 18
Dear MOCAO lectures participants.
All the videos will be available on our YouTube channel later, there will be an additional announcement.
Our next speaker (Thur, July 18, 11AM AEST) is Dr Isabelle Shankar.
Title: The dual of a convex body
Abstract: Duality in convex geometry arises naturally in optimization by asking a simple question: given a maximizer to a convex optimization problem, how can we certify that it is indeed optimal? This leads to the definition of normal cone and quickly after to the dual of a convex body, which is itself a convex body. We’ll discuss examples including polytopes and extend the theory to conic duality.
Zoom:
https://unsw.zoom.us/j/89239495027?pwd=zMmvAkAmFZVQ4SzBhQkz6CuH4nuxwu.1
Registration for urgent updates: https://forms.gle/CGhNt3bssmqLMXcj6
Looking forward to seeing you tomorrow.
Nadia
MOCAO lectures: A/Prof Vera Roshchina, UNSW
Lectures on Convex Geometry
A/Prof Vera Roshchina, UNSW.
Monday, July, 15-Wednesday, July, 17, 11AM each day (AEST)
We go over the basics of facial structure of convex sets, starting with the finite dimensional setting. We review the tools that help study geometric properties of convex sets and to construct convex sets with desirable properties. We then focus on structured convex problems, predominantly those defined algebraically (through matrix and polynomial inequalities and representations). Finally, we review some properties and behaviours of convex sets that are specific to the infinite-dimensional setting. The fundamental mathematical ideas and phenomena will be contextualised in optimisation applications, including conic programming and projection methods.
Zoom:
https://unsw.zoom.us/j/89239495027?pwd=zMmvAkAmFZVQ4SzBhQkz6CuH4nuxwu.1
Registration for urgent updates: https://forms.gle/CGhNt3bssmqLMXcj6
MOCAO lectures: time and speakers
We are pleased to announce the 2024 MoCaO Lectures in Computation and Optimisation. For 2024 we
are focusing on Geometry and Convexity in Computation. These one-hour lectures will be held each day, and all lectures will be broadcast via Zoom.
July 15-19, 2024, 11am-12 pm AEST (GMT+10) each day
Speakers:
A/Prof Vera Roshchina (University of New South Wales): July 15-17;
Dr Isabelle Shankar (Portland State University): July, 18;
A/Prof Bruno F. Lourenço (Institute of Statistical Mathematics, Japan): July, 19.
The zoom link will be published on our website.
Registration: https://forms.gle/CGhNt3bssmqLMXcj6
MOCAO list update
Dear MOCAO members. Please note that the list of MOCAO members has been updated (as per 2024).