Results 11 to 18 of about 2,076 (18)
The persistence landscape and some of its properties
, 2019 Persistence landscapes map persistence diagrams into a function space, which may often be taken to be a Banach space or even a Hilbert space. In the latter case, it is a feature map and there is an associated kernel. The main advantage of this summary is
A Adcock +33 more
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A Geometric View on Constrained M-Estimators [PDF]
, 2015 We study the estimation error of constrained M-estimators, and derive explicit upper bounds on the expected estimation error determined by the Gaussian width of the constraint set.
Cevher, Volkan +3 more
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Rank penalized estimation of a quantum system
, 2013 We introduce a new method to reconstruct the density matrix $\rho$ of a system of $n$-qubits and estimate its rank $d$ from data obtained by quantum state tomography measurements repeated $m$ times.
Cristina Butucea +6 more
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Distance statistics in random media: high dimension and/or high neighborhood order cases
, 2014 Consider an unlimited homogeneous medium disturbed by points generated via Poisson process. The neighborhood of a point plays an important role in spatial statistics problems. Here, we obtain analytically the distance statistics to $k$th nearest neighbor
Granzotti, Cristiano Roberto Fabri +1 more
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Generalized Measure of Entropy, Mathai's Distributional Pathway Model, and Tsallis Statistics
, 2006 The pathway model of Mathai (2005) mainly deals with the rectangular matrix-variate case. In this paper the scalar version is shown to be associated with a large number of probability models used in physics.
A.M. Mathai +20 more
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Statistical topological data analysis using persistence landscapes [PDF]
, 2015 We define a new topological summary for data that we call the persistence landscape. Since this summary lies in a vector space, it is easy to combine with tools from statistics and machine learning, in contrast to the standard topological summaries ...
Bubenik, Peter
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Random perturbation of low rank matrices: Improving classical bounds
, 2017 Matrix perturbation inequalities, such as Weyl's theorem (concerning the singular values) and the Davis-Kahan theorem (concerning the singular vectors), play essential roles in quantitative science; in particular, these bounds have found application in ...
O'Rourke, Sean, Vu, Van, Wang, Ke
core
Maximum entropy generation in open systems: the Fourth Law?
, 2010 This paper develops an analytical and rigorous formulation of the maximum entropy generation principle.
Lucia, Umberto
core