Tue, March 14, 2017
Public Access Category: All |
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- Time:
- 11:00am
- Location:
- Ramanujan Hall
- Description:
- Title : Homotopy groups of highly connected manifolds
Abstract : We shall discuss a new method of computing (integral) homotopy
groups of certain manifolds in terms of the homotopy groups of spheres. The
techniques used in this computation also yield formulae for homotopy groups
of connected sums of sphere products and CW complexes of a similar type. In
all the families of spaces considered here, we verify a conjecture of J. C.
Moore. This is joint work with Somnath Basu.
- Time:
- 2:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: On perfect classification for Gaussian processes
Abstract: We study the problem of discriminating Gaussian processes by analyzing the behavior of the underlying probability measures in an infinite-dimensional space. Motivated by singularity of a certain class of Gaussian measures, we first propose a data based transformation for the training data. For a J class classification problem, this transformation induces complete separation among the associated Gaussian processes. The misclassification probability of a component-wise classifier when applied on this transformed data asymptotically converges to zero. In finite samples, the empirical classifier is constructed and related theoretical properties are studied.
This is a joint work with Juan A. Cuesta-Albertos.