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Optimization of symmetric tensor computations

2015 IEEE High Performance Extreme Computing Conference (HPEC), 2015
For applications that deal with large amounts of high dimensional multi-aspect data, it is natural to represent such data as tensors or multi-way arrays. Tensor computations, such as tensor decompositions, are increasingly being used to extract and explain properties of such data. An important class of tensors is the symmetric tensor, which shows up in
Jonathon Cai   +3 more
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The Most Likely Optimal Symmetric RVLC

IEEE Transactions on Communications, 2015
For each alphabet size up to 30, a symmetric reversible variable length code (RVLC) is determined which is most likely to be optimal in average codeword length. It is shown that these codes are optimal for more than half of all the possible sources.
Sayed Jalal Zahabi   +1 more
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Symmetric Block Designs and Optimal Equidistant Codes

Problems of Information Transmission, 2020
In this paper, it is shown that any symmetric block design with parameters \((v, k, \lambda)\) generates optimal ternary and quaternary constant-weight equidistant codes, whose parameters are uniquely determined by the parameters of the block design.
Leonid A. Bassalygo   +2 more
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Fundamental Domains for Symmetric Optimization: Construction and Search

SIAM Journal on Optimization, 2021
Symmetries of a set are linear transformations that map the set to itself. A fundamental domain of a symmetric set is a subset that contains at least one representative from each of the symmetric equivalence classes (orbits) in the set. This paper contributes a novel polynomial algorithm for constructing minimal polytopic fundamental domains of ...
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Globally Optimal Grouping for Symmetric Boundaries

2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06), 2006
Many natural and man-made structures have a boundary that shows certain level of bilateral symmetry, a property that has been used to solve many computer-vision tasks. In this paper, we present a new grouping method for detecting closed boundaries with symmetry.
Joachim S. Stahl, Song Wang 0002
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