Speaker: Dr. Naveen Narisetty, Department of Statistics, University of Illinois at Urbana
Champaign
Title: Variable Selection Techniques for Analyzing High Dimensional Data sets
Abstract: In the modern big data era, data sets with a large number of features is a common phenomenon. In this talk, I will present an overview of high dimensional variable selection methods along with some recent advances both from the frequentist and Bayesian viewpoints. Both computational and theoretical challenges and ways to address them will be discussed.
Time:
3:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Dr. P. V. Sukhatme Memorial Lecture
Date and Time: 24th July at 3:30 pm.
Venue: Ramanujan Hall, Department of Mathematics
Speaker: Prof. Vijay Nair, Emeritus Professor, Department of Statistics, University of Michigan, Ann Arbor, USA.
Title of the talk: Big Data, Machine Learning, and Data Science
Abstract: In this presentation, I will provide some personal perspectives on the so-called Big Data movement, its impact, potential benefits and challenges. As part of this, I will discuss developments in, and applications of, machine learning with a focus on supervised learning. I will also spend a few minutes on the new field of Data Science. This will be a non-technical talk.
Time:
2:00pm-3:30pm
Location:
Room 215, Department of Mathematics
Description:
Speaker : Dr. Vivek Mukundan
Title : Implicitization problem and the defining ideal of the Rees algebra.
When : Thursday 26 July, 2.00-3.30 pm
2 Aug 2.00-3.30 pm
Venue: Room 215
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Abstract: Consider a rational map from P^{n-1}—>P^n parametrized by homogeneous polynomials f_0,\dots,f_n of degree d. We study the equations defining the graph of the map whose coordinate ring is the Rees algebra of the ideal generated by f_0, .., f_n. We provide new methods to construct these equations using work of Buchsbaum and Eisenbud. Furthermore, for certain classes of ideals, we show that our construction is general. These classes of examples are interesting, in that, there are no known methods to compute the defining ideal of the Rees
algebra of such ideals. These new methods also give rise to effective criteria to check that φ is birational onto its image.
Time:
4:00pm
Location:
Room No. 215, Department of Mathematics
Description:
Title: Weil conjectures - Rationality and Functional Equation
Abstract: In this talk we will assume that certain cohomology theories exist, and demonstrate how to prove rationality and functional equation of the zeta function. A large part of the talk will be using tools from linear algebra and algebraic topology. We will mostly be following the nice set of notes available here: http://www.math.lsa.umich.edu/~mmustata/lecture5.pdf