Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Bodmann, Bernhard G."'
Autor:
Bodmann, Bernhard G., May, Jennifer J.
The main challenge addressed in this paper is to identify individual terms in a superposition of heat kernels on a graph. We establish geometric conditions on the vertices at which these heat kernels are centered and find bounds on the time parameter
Externí odkaz:
http://arxiv.org/abs/2305.02635
This paper develops an adaptive version of Mallat's scattering transform for signals on graphs. The main results are norm bounds for the layers of the transform, obtained from a version of a Beurling-Deny inequality that permits to remove the nonline
Externí odkaz:
http://arxiv.org/abs/2208.12773
Autor:
Bodmann, Bernhard G., Abouserie, Ahmed
We study the recovery of a finitely supported distribution, a complex linear combination of Dirac measures, from intensity measurements. The distribution $\mu=\sum_{j=1}^{s}c_{j}\delta_{t_{j}}$ is given by a coefficient vector $c\in\mathbb{C}^s$ and
Externí odkaz:
http://arxiv.org/abs/2204.00190
This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This includes consequences of harmonic dynamics and the uncertainty principl
Externí odkaz:
http://arxiv.org/abs/2111.09936
Phase retrieval in real or complex Hilbert spaces is the task of recovering a vector, up to an overall unimodular multiplicative constant, from magnitudes of linear measurements. In this paper, we assume that the vector is normalized, but retain only
Externí odkaz:
http://arxiv.org/abs/1907.02225
Autor:
Mendez, Robert P., Bodmann, Bernhard G., Baker, Zachery J., Bullock, Micah G., McLaney, Jacob E.
Binary Parseval frames share many structural properties with real and complex ones. On the other hand, there are subtle differences, for example that the Gramian of a binary Parseval frame is characterized as a symmetric idempotent whose range contai
Externí odkaz:
http://arxiv.org/abs/1712.04424
Autor:
Bodmann, Bernhard G., George, Craig J.
Publikováno v:
Involve 12 (2019) 301-319
We study the minimum mean-squared error for 2-means clustering when the outcomes of the vector-valued random variable to be clustered are on two touching spheres of unit radius in $n$-dimensional Euclidean space and the underlying probability distrib
Externí odkaz:
http://arxiv.org/abs/1710.09693
We present new connections among anomalous diffusion (AD), normal diffusion (ND) and the Central Limit Theorem. This is done by defining a point transformation to a new position variable, which we postulate to be Cartesian, motivated by consideration
Externí odkaz:
http://arxiv.org/abs/1708.00074
Autor:
Bodmann, Bernhard G., Haas IV, John I.
This paper is concerned with achieving optimal coherence for highly redundant real unit-norm frames. As the redundancy grows, the number of vectors in the frame becomes too large to admit equiangular arrangements. In this case, other geometric optima
Externí odkaz:
http://arxiv.org/abs/1707.03528
Publikováno v:
Molecular Physics, 116(19-20), 2599-2612 (2018)
The development of supersymmetric (SUSY) quantum mechanics has shown that some of the insights based on the algebraic properties of ladder operators related to the quantum mechanical harmonic oscillator carry over to the study of more general systems
Externí odkaz:
http://arxiv.org/abs/1701.02767