In many scientific disciplines, new technologies are enabling researchers to obtain measurements of unprecedented scale and resolution. These huge data sets present many new challenges and opportunities for the experimental scientists generating the data and for researchers like those in the SILO community developing data analyses. In this talk, three …
Consider a generic r-dimensional subspace, and suppose that we are only given projections of this subspace onto small subsets of the canonical coordinates. In this talk I will show the necessary and sufficient conditions on such subsets to guarantee that there is only one r-dimensional subspace consistent with all the …
With the recent data revolution, statisticians are considering larger datasets, more sophisticated models. As a consequence, it is important to seek methods that are computationally efficient as well as statistically powerful. We will show how hypotheses from theoretical computer science on the hardness of some problems in average case can …
The advent of micro and nanotechnology for interfacing with the nervous system has opened up a wide range of experimental platforms for getting information into and out of the living brain. This talk will provide an overview of the different approaches for recording and stimulating large numbers of neurons in …
Topological data analysis looks at data from a rather unique angle. Good news: it may provide additional information to traditional machine learning, hence benefiting downstream applications. Bad news: Let K be the social network over topologists and machine learners, then betti0(K)=2. Why this means they didn’t talk to each other …
This talk gives an introduction to a recently established link between the geometry of numbers and mixed integer linear optimization. The main focus is to provide a review of families of lattice-free polyhedra and their use in the context of deriving and explaining cutting planes for mixed integer programs. This …
We provide a high level overview of the information theoretic study of two-way networks. We start by introducing the capacity / capacity region of a channel / network, respectively. While we know the capacity of one-way point-to-point channels where there is one source and one destination, we do not know …
The problem of low rank estimation naturally arises in a number of functional or relational data analysis settings, for example when dealing with spatio-temporal data or link prediction with attributes. We consider a unified framework for these problems and devise a novel penalty function to exploit the low rank structure …
A fundamental task in wireless communication is channel estimation: Compute the channel parameters of a medium between a transmitter and a receiver. In this talk we will treat the case of delay-Doppler channels — thus a signal, while transmitted, undergoes time-frequency shifts. We will introduce the incidence and cross methods …
Modern wireless technology enables the vision of future large scale systems such as the SmartGrid, a network of ubiquitous and heterogeneous devices wirelessly connected to the Internet, and wireless health monitoring and health modifying sensor networks over communities and not just individuals. All of these applications necessitate methods that simultaneously …