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Diagonal subalgebras of bigraded algebras and embeddings of blowups of projective spaces
 AMERICAN JOURNAL OF MATH
, 1997
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POINCARÉ COMPLEX DIAGONALS
, 2006
"... Abstract. Let M be a Poincaré duality space of dimension d ≥ 4. In this paper we describe a complete obstruction to realizing the diagonal map M → M×M by a Poincaré embedding. The obstruction group depends only on the fundamental group and the parity of d. 1. ..."
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Abstract. Let M be a Poincaré duality space of dimension d ≥ 4. In this paper we describe a complete obstruction to realizing the diagonal map M → M×M by a Poincaré embedding. The obstruction group depends only on the fundamental group and the parity of d. 1.
On orthogonal matrices with constant diagonal
 Linear Algebra Appl
, 1982
"... On orthogonal matrices with constant diagonal In connection with the problem of finding the best projections of kdimensional spaces embedded in ndimensional spaces Hermann Konig asked: Given mER and nEN, are there n X n matrices C={c,,), i, i = 1,...,n, such that c,, = m for all i, │C'ii│=l f ..."
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On orthogonal matrices with constant diagonal In connection with the problem of finding the best projections of kdimensional spaces embedded in ndimensional spaces Hermann Konig asked: Given mER and nEN, are there n X n matrices C={c,,), i, i = 1,...,n, such that c,, = m for all i, │C
Diagonal subschemes and vector bundles
, 2006
"... We study when a smooth variety X, embedded diagonally in its Cartesian square, is the zero scheme of a section of a vector bundle of rank dim(X) on X ×X. We call this the diagonal property (D). It was known that it holds for all flag manifolds SLn/P. We consider mainly the cases of proper smooth v ..."
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We study when a smooth variety X, embedded diagonally in its Cartesian square, is the zero scheme of a section of a vector bundle of rank dim(X) on X ×X. We call this the diagonal property (D). It was known that it holds for all flag manifolds SLn/P. We consider mainly the cases of proper smooth
DIAGONAL SUBALGEBRAS OF BIGRADED ALGEBRAS AND EMBEDDINGS OF BLOWUPS OF PROJECTIVE SPACES
"... Diagonal subalgebras of bigraded algebras and embeddings of blowups of projective spaces ..."
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Diagonal subalgebras of bigraded algebras and embeddings of blowups of projective spaces
BLOCK DIAGONAL LINEAR DISCRIMINANT ANALYSIS WITH SEQUENTIAL EMBEDDED FEATURE SELECTION
"... Model selection and feature selection are usually considered two separate tasks. For example, in a Linear Discriminant Analysis (LDA) setting, a modeling assumption is typically made first (e.g., a full or a diagonal covariance matrix can be chosen) and then with this model the feature subset provid ..."
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Model selection and feature selection are usually considered two separate tasks. For example, in a Linear Discriminant Analysis (LDA) setting, a modeling assumption is typically made first (e.g., a full or a diagonal covariance matrix can be chosen) and then with this model the feature subset
AN ALGORITHM FOR FINDING THE OPTIMAL EMBEDDING OF A SYMMETRIC MATRIX INTO THE SET OF DIAGONAL MATRICES∗
"... Abstract. We investigate two twosided optimization problems that have their application in atomic chemistry and whose matrix of unknowns Y ∈ Rn×p (n ≥ p) lies in the Stiefel manifold. We propose an analytic optimal solution of the first problem, and show that an optimal solution of the second probl ..."
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of C = {Y ∈ Rn×p: Y T Y = Ip, Y TΛY = ∆} for Λ and ∆ diagonal and we address the problem how an arbitrary smooth function over C can be minimized. We find that a slight modification of C is a Riemannian manifold for which geometric objects can be derived that are required to make an optimization over
Admissibility and controllability of diagonal volterra equations with scalar inputs
 J. Differential Equations
"... This paper studies Volterra evolution equations from the point of view of control theory, in the case that the generator of the underlying semigroup has a Riesz basis of eigenvectors. Conditions for admissibility of the system’s control operator are given in terms of the Carleson embedding propertie ..."
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This paper studies Volterra evolution equations from the point of view of control theory, in the case that the generator of the underlying semigroup has a Riesz basis of eigenvectors. Conditions for admissibility of the system’s control operator are given in terms of the Carleson embedding
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