This geometric approach has been mathematically studied in several works, see, e.g., Hamaker and Solmon [16], Kayalar and Weinert =-=[22]-=-, Bauschke, Borwein and Lewis [2] and Deutsch and Hundal [11] which consider, in various settings, the connection between the angles among the ...
Therefore it is impossible to find a state for a quantum D-polytope with definite values of all the angles between its (D-1)-faces. Moreover, the adjacent relations of the (D-1)-faces are not prescribed a priori. Thus Eq. (39) might not even be a true dihedral angle of the D-...
Results are obtained with \(q=3\) and \(\xi =0.8\). The distance between each pair of configurations was computed by the Euclidean metric with periodic boundary conditions on the vectors of the dihedral angles. Full size imageFigure 4...
Moreover, SMILES strings do not capture the structural information of molecules, such as the bond lengths and angles between atoms. Another molecular representation that can be used for RNNs is molecular graphs [103], [104]. A major advantage of molecular graph representations is that they ...
(b) In 1-vs-all SVM classification, the PESS distance between the query and each of the fold-level hyperplanes (dotted lines) is computed, and the query is assigned to the fold that gives the best score (dark gray arrow), based on signed distance from the fold’s hyperplane. (c) ...
Its elements s i are distances between individual components of compared vectors. To correctly calculate the similarity vector s¯ the circularity of the angular data must be taken into account. The distance s i between two angles ϕ and ψ is given as [94] si=180−|180−|ϕ−ψ...
Knowledge graph embedding by translating on hyperplanes. AAAI2014.(TransH) Lin Y, Liu Z, Sun M, et al. Learning entity and relation embeddings for knowledge graph completion. AAAI2015.(TransR/CTransR) Ji G, He S, Xu L, et al. Knowledge graph embedding via dynamic mapping matrix. ACL...
The lightworks framework uses the reduced set of five LP for symmetric and balanced laminates and ply angles of 0\(^\circ\), 90\(^\circ\) and ±45\(^\circ\). The constraint formulation is based on hyperplanes given in Werthen and Dähne (2018), which are linear and therefore easy ...
Activity Recognition using Dynamic Subspace Angles (PDF) Octavia Camps, Mario Sznaier (Northeastern University), Binlong Li (Northeastern University), Teresa Mao (Northeastern University), Mustafa Ayazoglu (Northeastern University) Actom Sequence Models for Efficient Action Detection (PDF) Adrien Gaidon ...
No need to pick one particular inequality in advance, or to go for ad-hoc modifications of CHSH (for lower detector efficiency) like Larsson’s. All there is, are the boundary hyperplanes of the “local polytope”. For a small number of possible outcomes there is a short list of generalis...