| 강연자 | Gunnar E. Carlsson |
|---|---|
| 소속 | Stanford University |
| date | 2014-03-26 |
One of the important problems in understanding large and complex data sets is how to provide useful representations of a data set. We will discuss some existing methods, as well as topological mapping methods which use simplicial complexes as the representation, with examples.
Symplectic topology and mirror symmetry of partial flag manifolds
The classification of fusion categories and operator algebras
The Lagrange and Markov Spectra of Pythagorean triples
The Mathematics of the Bose Gas and its Condensation
The phase retrieval problem
The process of mathematical modelling for complex and stochastic biological systems
The Shape of Data
The significance of dimensions in mathematics
Theory and applications of partial differential equations
Topological aspects in the theory of aperiodic solids and tiling spaces
Topological Mapping of Point Cloud Data
Topological surgery through singularity in mean curvature flow
Topology and number theory
Topology of configuration spaces on graphs
Toward bridging a connection between machine learning and applied mathematics
Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications
Trends to equilibrium in collisional rarefied gas theory
Unique ergodicity for foliations
Universality of log-correlated fields
Unprojection
