404 research outputs found

    UAE: Brief Review of Education in the United Arabic Emirates

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    EC84-408 Grain as Food

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    Extension Circular 84-408: This circular talks about various cereal grains. Most of these grains are important to Nebraska’s economy

    Geometry of Linear Neural Networks: Equivariance and Invariance under Permutation Groups

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    The set of functions parameterized by a linear fully-connected neural network is a determinantal variety. We investigate the subvariety of functions that are equivariant or invariant under the action of a permutation group. Examples of such group actions are translations or 90∘90^\circ rotations on images. For such equivariant or invariant subvarieties, we provide an explicit description of their dimension, their degree as well as their Euclidean distance degree, and their singularities. We fully characterize invariance for arbitrary permutation groups, and equivariance for cyclic groups. We draw conclusions for the parameterization and the design of equivariant and invariant linear networks, such as a weight sharing property, and we prove that all invariant linear functions can be learned by linear autoencoders.Comment: 24 pages, 2 figures, comments welcome

    EC84-408 Grain as Food

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    Extension Circular 84-408: This circular talks about various cereal grains. Most of these grains are important to Nebraska’s economy

    The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices

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    We study multivariate Gaussian models that are described by linear conditions on the concentration matrix. We compute the maximum likelihood (ML) degrees of these models. That is, we count the critical points of the likelihood function over a linear space of symmetric matrices. We obtain new formulae for the ML degree, one via Schubert calculus, and another using Segre classes from intersection theory. We settle the case of codimension one models, and characterize the degenerate case when the ML degree is zero.Comment: 21 pages and 1 figur

    Redescrição do tipo de equinoparyphium singularis (Lutz, 1924) comb. para Stephanoprora singularis (Lutz, 1924) (Trematoda, Equinostomatidae)

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    Os autores redescrevem e apresentam figuras originais do exemplar tipo de Stephanoprora singularis (Lutz, 1924) propondo uma nova combinação: Equinoparyphium singularis (Lutz, 1924) comb. n.The authors redescribe and present original figures of the type of S. singularis (Lutz, 1924) proposing a new combination: Equinoparyphium singularis (Lutz, 1924) n. comb
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