Colloquium:- The Topology of Data- from String Theory to Cosmology to Phases of Matter
We are faced with an explosion of data in many areas of physics, but very so often, it is not the size but the complexity of the data that makes extracting physics from big datasets challenging. As the speaker will discuss in this talk, data has shape and the shape of data encodes the underlying physics. Persistent homology is a tool in computational topology developed for quantifying the shape of data. He will discuss three applications of Topological Data Analysis(TDA):
1) identifying structure of the string landscape,
2) constraining cosmological parameters from Cosmic Microwave Background(CMB) measurements and large scale structures data, and
3) detecting and classifying phases of matter.
Persistent homology condenses these datasets into their most relevant(and interpretable) features, so that simple statistical pipelines are sufficient in these contexts. This suggests that TDA can be used in conjunction with machine learning algorithms and improves their architecture.
講者：Prof. Gary SHIU Man Lai 蕭文禮 教授(Department of Physics University of Wisconsin, USA)