| 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.
Trends to equilibrium in collisional rarefied gas theory
Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications
Toward bridging a connection between machine learning and applied mathematics
Topology of configuration spaces on graphs
Topology and number theory
Topological surgery through singularity in mean curvature flow
Topological Mapping of Point Cloud Data
Topological aspects in the theory of aperiodic solids and tiling spaces
Theory and applications of partial differential equations
The significance of dimensions in mathematics
The Shape of Data
The process of mathematical modelling for complex and stochastic biological systems
The phase retrieval problem
The Mathematics of the Bose Gas and its Condensation
The Lagrange and Markov Spectra of Pythagorean triples
The classification of fusion categories and operator algebras
Symplectic topology and mirror symmetry of partial flag manifolds
Symplectic Geometry, Mirror symmetry and Holomorphic Curves
Symmetry Breaking in Quasi-1D Coulomb Systems
Sums of squares in quadratic number rings
