Topic: Topology

Seminar
3 seminars
SeminarNeuroscienceRecording

CNStalk: The emergence of High order Hubs in the Human Connectome

Fernando Santos
University van Amsterdam, Amsterdam, The Netherlands
Apr 28, 2022
SeminarComputational Neuroscience

Maths, AI and Neuroscience meeting

Tim Vogels, Mickey London, Anita Disney, Yonina Eldar, Partha Mitra, Yi Ma
Dec 13, 2021

To understand brain function and develop artificial general intelligence it has become abundantly clear that there should be a close interaction among Neuroscience, machine learning and mathematics. There is a general hope that understanding the brain function will provide us with more powerful machine learning algorithms. On the other hand advances in machine learning are now providing the much needed tools to not only analyse brain activity data but also to design better experiments to expose brain function. Both neuroscience and machine learning explicitly or implicitly deal with high dimensional data and systems. Mathematics can provide powerful new tools to understand and quantify the dynamics of biological and artificial systems as they generate behavior that may be perceived as intelligent. In this meeting we bring together experts from Mathematics, Artificial Intelligence and Neuroscience for a three day long hybrid meeting. We will have talks on mathematical tools in particular Topology to understand high dimensional data, explainable AI, how AI can help neuroscience and to what extent the brain may be using algorithms similar to the ones used in modern machine learning. Finally we will wrap up with a discussion on some aspects of neural hardware that may not have been considered in machine learning.

SeminarMaterials ScienceRecording

Endless forms most beautiful: how to program materials using geometry, topology and singularities

Christian Santangelo
Syracuse University
Nov 11, 2020

The dream of programmable matter is to create materials whose physical properties (shape, moduli, response to perturbations, etc.) can be changed on the fly. For many years, my group has been thinking about how to program flat sheets that fold up into three dimensional shapes, most recently by exploiting the principles of origami design. Unfortunately, a combinatorial explosion of folding pathways makes robust folding particularly challenging. In this talk, I will discuss how this pluripotency arises from the topology of the configuration space. This suggests a broader understanding of a larger class of materials spanning from folding forms to spring networks to mechanical structures that perform computational logic.

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