Doubly transitive equiangular tight frames that contain regular simplices
Linear Algebra and its ApplicationsAn equiangular tight frame (ETF) is a finite sequence of equal norm vectors in a Hilbert space that achieves equality in the Welch bound, and so has minimal coherence. The binder of an ETF is the set of all subsets of its indices whose corresponding vectors form a regular simplex. An ETF achieves equality in Donoho and Elad's spark bound if and only if
Matthew Fickus, Evan C. Lake
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Construction of approximately equiangular tight frames and their applicatios
, 2015 Frames are considered a natural extension of orthonormal bases to overcomplete span ning systems. In the signal processing community, frames have mainly become popular due to wavelets; however, many other frame families have been employed in numerous applications, including source coding, robust transmission, code ...
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ETFT: Equiangular Tight Frame Transformer for Imbalanced Semantic Segmentation
SensorsSemantic segmentation often suffers from class imbalance, where the label ratio for each class in the dataset is not uniform. Recent studies have addressed the issue of class imbalance in semantic segmentation by leveraging the neural collapse phenomenon in conjunction with an Equiangular Tight Frame (ETF).
Seonggyun Jeong, Yong Seok Heo
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Random subsets of structured deterministic frames have MANOVA spectra. [PDF]
Proc Natl Acad Sci U S A, 2017 Haikin M, Zamir R, Gavish M.
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$k$-Homogeneous Equiangular Tight Frames
We consider geometric and combinatorial characterizations of equiangular tight frames (ETFs), with the former concerning homogeneity of the vector and line symmetry groups and the latter the matroid structure. We introduce the concept of the bender of a frame, which is the collection of short circuits, which in turn are the dependent subsets of frame ...
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The entanglement criteria based on equiangular tight frames
Journal of Physics A: Mathematical and TheoreticalAbstract Finite tight frames play an important role in miscellaneous areas, including quantum information theory. Here we apply a class of tight frames, equiangular tight frames, to address the problem of detecting the entanglement of bipartite states.
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Quantum Process Fidelity Bounds from Sets of Input States. [PDF]
Phys Rev A (Coll Park), 2018 Mayer K, Knill E.
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Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices. [PDF]
Proc Natl Acad Sci U S A, 2013 Monajemi H +4 more
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Estimating fiber orientation distribution from diffusion MRI with spherical needlets. [PDF]
Med Image Anal, 2018 Yan H +4 more
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Characterization of the structural and functional changes in the myocardium following focal ischemia-reperfusion injury. [PDF]
Am J Physiol Heart Circ Physiol, 2008 Ojha N +8 more
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