40 citations · 67 across the 12 of their papers we have counts for
4 papers · 1 filter
Metrics for matrix-valued measures via test functions
Lipeng Ning, Tryphon T. Georgiou
It is perhaps not widely recognized that certain common notions of distance between probability measures have an alternative dual interpretation which compares corresponding functi…
Convex Clustering via Optimal Mass Transport
Francesca P. Carli, Lipeng Ning, Tryphon T. Georgiou
We consider approximating distributions within the framework of optimal mass transport and specialize to the problem of clustering data sets. Distances between distributions are me…
Matrix-valued Monge-Kantorovich Optimal Mass Transport
Lipeng Ning, Tryphon T. Georgiou, Allen Tannenbaum
We formulate an optimal transport problem for matrix-valued density functions. This is pertinent in the spectral analysis of multivariable time-series. The "mass" represents energy…
Linear models based on noisy data and the Frisch scheme
Lipeng Ning, Tryphon T. Georgiou, Allen Tannenbaum +1
We address the problem of identifying linear relations among variables based on noisy measurements. This is, of course, a central question in problems involving "Big Data." Often a…