Results 1 to 10 of about 525,025 (272)
Journal of Fourier Analysis and Applications, 2011 We introduce probabilistic frames to study finite frames whose elements are chosen at random. While finite tight frames generalize orthonormal bases by allowing redundancy, independent, uniformly distributed points on the sphere approximately form a ...
Ehler, Martin
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Tight Reference Frame–Independent Quantum Teleportation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We give a tight scheme for teleporting a quantum state between two parties whose reference frames are misaligned by an action of a finite symmetry group.
Dominic Verdon, Jamie Vicary
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ETFT: Equiangular Tight Frame Transformer for Imbalanced Semantic Segmentation [PDF]
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
Seonggyun Jeong, Yong Seok Heo
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Constructions of biangular tight frames and their relationships with equiangular tight frames
, 2017 We study several interesting examples of Biangular Tight Frames (BTFs) - basis-like sets of unit vectors admitting exactly two distinct frame angles (ie, pairwise absolute inner products) - and examine their relationships with Equiangular Tight Frames ...
Cahill, Jameson +3 more
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Scalable g-frame in Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2023 Tight frames and g-frames are extremely useful in applications. A scalable frame was recentlyintroduced as a frame with the property of generating a tight frame by rescaling its frame vectors.
Amir Khosravi, Mohammad Reza Farmani
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On the Volume of Sections of the Cube
Analysis and Geometry in Metric Spaces, 2021 We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate ...
Ivanov Grigory, Tsiutsiurupa Igor
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Hadamard equiangular tight frames
Applied and Computational Harmonic Analysis, 2021 An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. They are often represented as the columns of a short, fat matrix. In certain applications we want this matrix to be flat, that is, have the property that all of its entries have modulus one.
Matthew Fickus +3 more
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Supervised dual tight frame learning with deep thresholding network for phase retrieval
IET Image Processing, 2022 Data‐driven tight frames are popular for solving imaging inverse problems. However, the imaging quality is limited by the representation ability of single tight frame and thresholds tuned manually.
Baoshun Shi, Qiusheng Lian, Yueming Su
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Estimation of q for ℓ q $\ell _{q}$ -minimization in signal recovery with tight frame
Journal of Inequalities and Applications, 2023 This study aims to reconstruct signals that are sparse with a tight frame from undersampled data by using the ℓ q $\ell _{q}$ -minimization method. This problem can be cast as a ℓ q $\ell _{q}$ -minimization problem with a tight frame subjected to an ...
Kaihao Liang +2 more
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Unitary extension principle on zero-dimensional locally compact groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this article, we obtain methods for constructing step tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension.
Lukomskii, Sergei Feodorovich +1 more
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