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The 3D signals and the orthogonal projections representation were obtained by means of Volocity Software v5.2.1 PerkinElmer-Improvisionon, Lexington, MA, USA).
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The MDS Reference Maps and Projections representations that we developed and used in the context of this study were particularly useful to drive our analysis.
However, the non-adaptive projection representation for the natural images by conventional CS (CCS) framework may lead to an inefficient compression performance when comparing to the classical image compression standards such as JPEG and JPEG 2000.
The three-dimensional HbpR A-domain model and the 2-HBP pdb-files were submitted to gramm with the following parameters: Matching mode = generic; grid step = 1.7; repulsion = 20.0; Attraction double range = 0.0; Potential range type = atom_radius; black white projection; representation = all; 1000 output matches, angle for rotation = 10.
The technique of quantum operator of projection on projective representations, which describes elementary vibration modes, is used to determine the shapes of the normal modes analytically in different points of the Brillouin zone, including k ≠ 0. The shapes of the normal vibrational modes are computed in the K, M, and Г points of the Brillouin zone.
There are several different approaches for finding motifs such as profiles, consensuses, projection, graph representations, clustering, and tree-based [ 2, 13, 14].
First paragraph of the Section General approaches for motif finding: "…There are several different approaches for finding motifs such as profiles, consensuses, projection, graph representations, clustering, and tree-based[ 2, 13, 14]." In Section General approaches for motif finding, subtitle Graph changed to Graph representations.
In this paper, we propose a new supervised DR method called Optimized Projections for Sparse Representation based Classification (OP-SRC), which is based on the recent face recognition method, Sparse Representation based Classification (SRC).
Besides, Yao et al. present a novel deep semantic-preserving and ranking-based hashing architecture, which jointly learns projections from image representations to hash codes and classification [73].
To improve the performance of CRC, this paper proposes a new dimensionality reduction method called Optimized Projection for Collaborative Representation based Classification (OP-CRC), which has the direct connection to CRC.
The proposed formulation incorporates the local grain-to-grain orientation correlations by combining local or macroscopic statistical information, and finds a natural interpretation through the well-known stereographic projection (pole-figure) representation.
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