## Past Seminars- Probability

• Wei-Kuo Chen
Thu Jan 4, 2018
11:00 am
The problem of detecting a deformation in a symmetric Gaussian random tensor is concerned about whether there exists a statistical hypothesis test that can reliably distinguish a low-rank random spike from the noise. Recently Lesieur et al. (2017) proved that there exists a critical threshold so that when the signal-to-noise ratio exceeds...
• Gerard Ben Arous
Sat Dec 2, 2017
4:20 pm
• Reza Aghajani
Sat Dec 2, 2017
3:20 pm
The random order of service (ROS) is a natural scheduling policy for systems where no ordering of customers can or should be established. Queueing models under ROS have been used to study molecular interactions of intracellular components in biology. However, these models often assume exponential distributions for processing and patience times,...
• Jean-Dominique Deuschel
Sat Dec 2, 2017
2:00 pm
We consider an i.i.d. balanced environment  $\omega(x,e)=\omega(x,-e)$, genuinely d dimensional on the lattice and show that there exist a positive constant $C$ and a random radius $R(\omega)$ with streched exponential tail such that every non negative $\omega$ harmonic function $u$ on the ball  $B_{2r}$ of radius $2r>R(\omega)$, we...
• James-Michael Leahy
Sat Dec 2, 2017
11:20 am
In this talk, we present some results on the existence of weak-solutions of the Navier-Stokes equation perturbed by transport-type rough path noise with periodic boundary conditions in dimensions two and three. The noise is smooth and divergence free in space, but rough in time. We will also discuss the problem of uniqueness in two dimensions. The...
• Roman Vershynin
Sat Dec 2, 2017
10:00 am
Uniform laws of large numbers provide theoretical foundations for statistical learning theory. This lecture will focus on quantitative uniform laws of large numbers for random matrices. A range of illustrations will be given in high dimensional geometry and data science.
• Deanna Needell
Tue Nov 21, 2017
11:00 am
Binary, or one-bit, representations of data arise naturally in many applications, and are appealing in both hardware implementations and algorithm design. In this talk, we provide a brief background to sparsity and 1-bit measurements, and then present new results on the problem of data classification from binary data that proposes a stochastic...