Minimization of the probabilistic \(p\)-frame potential
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Publication:651067
DOI10.1016/j.jspi.2011.09.001zbMath1229.62069arXiv1101.0140OpenAlexW2098598867MaRDI QIDQ651067
Martin Ehler, Kasso A. Okoudjou
Publication date: 8 December 2011
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.0140
Directional data; spatial statistics (62H11) Characterization and structure theory for multivariate probability distributions; copulas (62H05)
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Cites Work
- Unnamed Item
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- Random tight frames
- A quantitative notion of redundancy for finite frames
- Frame theory in directional statistics
- Distributions of positive mass, which maximize a certain generalized energy integral
- Wavelet bi-frames with few generators from multivariate refinable functions
- On the existence of equiangular tight frames
- A distribution-free M-estimator of multivariate scatter
- Spherical codes and designs
- Grassmannian frames with applications to coding and communication
- \(p\)-frames in separable Banach spaces
- Finite normalized tight frames
- Equal-norm tight frames with erasures
- Designs, groups and lattices
- On multivariate compactly supported bi-frames
- Convolutional frames and the frame potential
- The Kadison–Singer Problem in mathematics and engineering
- Universally optimal distribution of points on spheres
- Generalized welch bound equality sequences are tight frames
- Statistical analysis for the angular central Gaussian distribution on the sphere
- Ten Lectures on Wavelets
- Lower bounds on the maximum cross correlation of signals (Corresp.)
- Continuous and Discrete Wavelet Transforms
- Frame potential and finite abelian groups
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
- Definitions for spherical designs
- Quantized frame expansions with erasures
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