The talk is divided into two parts. In the first part we review L-infinity type variational problems on graphs which are motivated by applications in (semi-supervised) machine learning. In particular, we study ground states of the sup-norm of the gradient, characterize them as distance functions and relate them to the asymptotic behavior of the ...
Creator:
Bungert, Leon (Friedrich-Alexander-Universität Erlangen-Nürnberg); Roith, Tim (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Created:
2020-09-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Thomas Sadler Roberts gave a series of talks and lectures on dairy farms in 1903-1904. This negatives was likely produced to create a lantern slide to illustrate his lecture.
Creator:
Bell Museum of Natural History
Created:
1903
Contributed By:
University of Minnesota Libraries, University Archives.
Fundamental issues in improving state estimation (or filtering) problems are model errors. This problem is attributed to incomplete understanding of the underlying physics and our lack of computational resources to resolve physical processes in various time and length scales. In this talk, we will discuss a linear theory for filtering multiscale...
Creator:
Harlim, John (The Pennsylvania State University)
Created:
2013-11-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss extensions of recently proposed semidefinite optimization methods for atomic decomposition and 1-norm minimization over infinite dictionaries of complex exponentials. We show that techniques related to the Kalman-Yakubovich-Popov lemma in linear system theory provide simple constructive proofs of these semidefinite formulations. This ...
Creator:
Vandenberghe, Lieven (University of California, Los Angeles)
Created:
2016-01-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture reviews least squares (LS) method for linear fitting and its statistical properites under various linear regression model assumptions. Methods will be illustrated with real data examples from instructor's research projects.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Mean field game theory has been developed largely following two routes by different researchers. One route, called the direct approach, starts by solving a large-scale game and next derives a set of limiting equations. The second route is to apply mean field approximations and formalize a fixed point problem by obtaining the best response of a r...
Creator:
Huang, Minyi (Carleton University)
Created:
2018-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Fractional Brownian motions (FBMs) denote a family of Gaussian processes indexed by the Hurst parameter H ˆˆ (0, 1) that can be empirically justified as models for noise in many physical systems. While this family includes Brownian motion (H = 1/2), the other Gaussian processes in this family are neither Markov nor semimartingales. Thus many of ...
Creator:
Duncan, Tyrone Edward (University of Kansas)
Created:
2016-03-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Some control problems are explicitly solved for bilinear evolution equations where the noise is a Gauss-Volterra process. The Gauss-Volterra noise processes are obtained from the integral of a Brownian motion with a suitable kernel function. These noise processes include fractional Brownian motions with Hurst parameter from (1/2, 1), Liouville f...
Creator:
Pasik-Duncan, Bozenna (University of Kansas)
Created:
2018-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
