Symmetric nonnegative matrix factorization (SNMF) has demonstrated to be a powerful method for data clustering. However, SNMF is mathematically formulated as non-convex optimization problem, making it sensitive the initialization of variables. Inspired by ensemble clustering that aims seek better result from set results, we propose self-supervised (S <sup xmlns:mml="http://www.w3.org/1998/Math/...

in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...

Complex symmetric matrices arise from many applications, such as chemical exchange in nuclear magnetic resonance and power systems. Singular value decomposition (SVD) reveals a great deal of properties of a matrix. A complex symmetric matrix has a symmetric SVD (SSVD), also called Takagi Factorization, which exploits the symmetry [3]. Let A be a complex symmetric matrix, its Takagi factorizatio...

The authors use symmetry arguments to show a higher-order Van Hove singularity in mirror-symmetric twisted trilayer graphene, which is tuned by varying the twist angle and perpendicular electric field gating.

Symmetric quadrature mirror lters (QMF's) ooer several advantages for wavelet-based image coding. Symmetry and odd-length contribute to eecient boundary handling and preservation of edge detail. Symmetric QMF's can be obtained by mildly relaxing the lter bank orthogonality conditions. We describe a computational algorithm for these lter banks which is also symmetric in the sense that the analys...

The first infinite families of symmetric designswere obtained fromfinite projective geometries, Hadamardmatrices, and difference sets. In this paper we describe two general methods of constructing symmetric designs that give rise to the parameters of all other known infinite families of symmetric designs. The method of global decomposition produces an incidence matrix of a symmetric design as a...

1. The orientation of symmetric objects is irrelevant Hold this page to a mirror. OTTO in OTTO DIED seems unreversed. However, the illiterate mirror reflects all words equally. OTTO only appears to be unchanged because of its vertical symmetry. This becomes manifest as you position a mirror beneath OTTO DIED. Since OTTO is not horizontally symmetric, its horizontal reflection is asymmetric. Jus...

In this paper, we develop some results based on Relational model (Klimova, et al. 2012) which permits a decomposition of logarithm of expected cell frequencies under a log-linear type model. These results imply plain answers to several questions in the context of analyzing of contingency tables. Moreover, determination of design matrix and hypothesis-induced matrix of the model will be discusse...

We investigated human sensitivity to vertical mirror symmetry in noise patterns filtered for narrow bands of variable orientations. Sensitivity is defined here as the amount of spatial phase randomization corresponding to 75% correct performance in a 2AFC detection task. In Experiment 1, sensitivity was found to be high for tests patterns of all orientations except those parallel to the axis of...