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Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5274 (67 self)
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long time, ‘variational ’ problems have been identified mostly with the ‘calculus of variations’. In that venerable subject, built around the minimization of integral functionals, constraints were relatively simple and much of the focus was on infinitedimensional function spaces. A major theme
Infinitedimensional
"... hyperkähler manifolds associated with Hermitiansymmetric affine coadjoint orbits ..."
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hyperkähler manifolds associated with Hermitiansymmetric affine coadjoint orbits
INVERTIBILITY IN INFINITEDIMENSIONAL SPACES
"... Abstract. An interesting result of Doyle and Hocking states that a topological nmanifold is invertible if and only if it is a homeomorphic image of the nsphere Sn. We shall prove that the sphere of any infinitedimensional normed space is invertible. We shall also discuss the invertibility of othe ..."
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Cited by 1 (0 self)
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Abstract. An interesting result of Doyle and Hocking states that a topological nmanifold is invertible if and only if it is a homeomorphic image of the nsphere Sn. We shall prove that the sphere of any infinitedimensional normed space is invertible. We shall also discuss the invertibility
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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Cited by 504 (2 self)
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Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k
Mean shift: A robust approach toward feature space analysis
 In PAMI
, 2002
"... A general nonparametric technique is proposed for the analysis of a complex multimodal feature space and to delineate arbitrarily shaped clusters in it. The basic computational module of the technique is an old pattern recognition procedure, the mean shift. We prove for discrete data the convergence ..."
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Cited by 2370 (37 self)
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A general nonparametric technique is proposed for the analysis of a complex multimodal feature space and to delineate arbitrarily shaped clusters in it. The basic computational module of the technique is an old pattern recognition procedure, the mean shift. We prove for discrete data
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