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Degeneracy and Redundancy in Active Inference [PDF]
Cerebral Cortex, 2020 The notions of degeneracy and redundancy are important constructs in many areas, ranging from genomics through to network science. Degeneracy finds a powerful role in neuroscience, explaining key aspects of distributed processing and structure-function ...
Thomas Parr +2 more
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Gate-Tunable Subband Degeneracy in Semiconductor Nanowires [PDF]
Proceedings of the National Academy of Sciences of the United States of AmericaDegeneracy and symmetry have a profound relation in quantum systems. Here, we report gate-tunable subband degeneracy in PbTe nanowires with a nearly symmetric cross-sectional shape.
Zhan Cao, Hao Zhang, Dong Liu
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Densities of degeneracies and near-degeneracies
Physical Review A, 1993The eigenvalues of a quantum system depending on two parameters become degenerate at isolated points in the parameter space, which are called diabolical points because of their double-cone structure. Varying one parameter produces near-degeneracies termed avoided crossings. Some results on the density of these objects in parameter space can be obtained
, Wilkinson, , Austin
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SIAM Journal on Scientific and Statistical Computing, 1984
At some point in many applications a decision must be made about the rank of a matrix. The decision is frequently complicated by the fact that the matrix in question is contaminated with errors. This paper surveys some of the more commonly used methods for approximating rank, with particular attention being paid to the effects of errors.
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At some point in many applications a decision must be made about the rank of a matrix. The decision is frequently complicated by the fact that the matrix in question is contaminated with errors. This paper surveys some of the more commonly used methods for approximating rank, with particular attention being paid to the effects of errors.
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International Journal of Mathematics, 1996
Let \(X_r\) be the degeneracy locus of rank \(r\) of a morphism \(\varphi\) of vector bundles over a smooth irreducible variety \(X\), and \({\mathcal I}_{X_r}\) the ideal sheaf of \(X_r\). We quote from the author's introduction: Our aim is to study the cohomology of \({\mathcal I}_{X_r}\). In particular we want to know if \(H^1 ({\mathcal I}_{X_r})=0\
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Let \(X_r\) be the degeneracy locus of rank \(r\) of a morphism \(\varphi\) of vector bundles over a smooth irreducible variety \(X\), and \({\mathcal I}_{X_r}\) the ideal sheaf of \(X_r\). We quote from the author's introduction: Our aim is to study the cohomology of \({\mathcal I}_{X_r}\). In particular we want to know if \(H^1 ({\mathcal I}_{X_r})=0\
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Interdimensional degeneracies, near degeneracies, and their applications
The Journal of Chemical Physics, 1986Recently developed approximation methods for quantum mechanical problems which treat the spatial dimension D as an expansion parameter offer approximations to energy levels at arbitrary D. Rather than simply being a detour to the D=3 case, there is physical interest in nonphysical values of D due to degeneracies between states in different dimensions ...
D. J. Doren, D. R. Herschbach
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Twisted Cubic: Degeneracy Degree and Relationship with General Degeneracy
2010Fundamental matrix, drawing geometric relationship between two images, plays an important role in 3-dimensional computer vision. Degenerate configurations of space points and two camera optical centers affect stability of computation for fundamental matrix.
Tian Lan, Yihong Wu 0002, Zhanyi Hu
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