Gaussian processes

Friday, February 23, 2018 - 11:00am - 11:40am
Sudipto Banerjee (University of California, Los Angeles)
With the growing capabilities of Geographic Information Systems (GIS) and user-friendly software, statisticians today routinely encounter geographically referenced data containing observations from a large number of spatial locations and time points. Over the last decade, hierarchical spatiotemporal process models have become widely deployed statistical tools for researchers to better understand the complex nature of spatial and temporal variability.
Wednesday, June 17, 2015 - 2:00pm - 3:30pm
Laura Swiler (Sandia National Laboratories)
This lecture will discuss meta-models (also called surrogate models or emulators) and their role in emulation of computer models. This lecture will focus on one particular emulator, the Gaussian Process (GP) Model. We will discuss the functional form of the GP, how GPs differ from other models, how to estimate the parameters governing the GP, training set design, and software tools available. We will conclude with the use of GPs in various contexts: in experimental design, optimization, and calibration.
Wednesday, April 15, 2015 - 3:10pm - 4:00pm
Emanuel Indrei (Carnegie-Mellon University)
The so-called logarithmic Sobolev inequalities appear in various branches of statistical mechanics, quantum field theory, Riemannian geometry, and partial differential equations. In this talk, we discuss recent progress towards establishing sharp quantitative versions of the classical Gaussian log-Sobolev inequality. This is based on joint work with Max Fathi and Michel Ledoux.
Tuesday, April 14, 2015 - 2:50pm - 3:40pm
Intrinsic volumes of convex sets are natural geometric quantities that also play important roles in applications. In particular, the discrete probability distribution ${cal L}(V_C)$ given by the sequence $v_0,ldots,v_d$ of conic intrinsic volumes of a closed convex cone $C$ in $mathbb{R}^d$ summarizes key information about the success of convex programs used to solve for sparse vectors, and other structured unknowns such as low rank matrices, in high dimensional regularized inverse problems.
Tuesday, June 26, 2012 - 2:00pm - 3:15pm
Radoslaw Adamczak (University of Warsaw)
I will discuss results by R. Latala concerning tail behaviour of
multivariate polynomials in independent Gaussian variables and show
how when combined with
classical functional inequalities they give estimates for polynomials
and more generally smooth functions with bounded derivatives of higher
order for a more general class of non-necessarily product measures. I
will also present similar inequalities for polynomials of general
sequences of independent subgaussian
Tuesday, June 19, 2012 - 3:30pm - 4:45pm
Benedek Valko (University of Wisconsin, Madison)
By the Hilbert-Polya conjecture the critical zeros of the Riemann zeta function correspond to the eigenvalues of a self adjoint operator. By a conjecture of Dyson and Montgomery the critical zeros (after a certain rescaling) look like the bulk eigenvalue limit point process of the Gaussian Unitary Ensemble. It is natural to ask if this point process can we described as the spectrum of a random self adjoint operator.
Monday, August 2, 2010 - 4:00pm - 4:30pm
Xiaobai Sun (Duke University)
We introduce numerical study on the discrete counterpart of Gauss'
theorem. The purpose is to seek and establish a third approach,
beside the analytical and the kernel-independent approaches,
for efficient dimension reduction and preconditioning of equations
initially in differential form. Integration is done locally,
or globally, using analytical/symbolic rules as
well as numerical rules and utilizing geometric information.
Tuesday, June 12, 2007 - 11:00am - 12:30pm
Ronald DeVore (University of South Carolina)
Examples of performance for Gaussian and Bernoulli ensembles.
Thursday, March 8, 2007 - 9:00am - 9:50am
Thomas Richardson (University of Washington)
In the 1920's the geneticist Sewall Wright introduced a class of
Gaussian statistical models represented by graphs containing directed
and bi-directed edges, known as path diagrams. These models have been
used extensively in psychometrics and econometrics where they are
called structural equation models.
Thursday, April 30, 2015 - 2:00pm - 2:50pm
Fedor Nazarov (Kent State University)
I will describe our joint work with Mikhail Sodin on the expected value of the number of nodal domains of various Gaussian ensembles and try to attract attention to some open questions in the area.


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