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CLASSIC EXAMPLE: MEAN.vs. MEDIAN
"... Q: Is it realistic to believe we don’t know (µ, σ2), but we know e.g. the shape of the tails of the distribution? A: The model is assumed to be approximately true, e.g. symmetric and unimodal (past experience). Q: Are statistical methods which are good under the model reasonably good if the model is ..."
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Q: Is it realistic to believe we don’t know (µ, σ2), but we know e.g. the shape of the tails of the distribution? A: The model is assumed to be approximately true, e.g. symmetric and unimodal (past experience). Q: Are statistical methods which are good under the model reasonably good if the model is only approximately true?
ALGEBRAIC GEOMETRY
"... Algebraic geometry is the mathematical study of geometric objects by means of algebra. Its origins go back to the coordinate geometry introduced by Descartes. A classic example is the circle of radius 1 in the plane, which is ..."
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Cited by 513 (6 self)
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Algebraic geometry is the mathematical study of geometric objects by means of algebra. Its origins go back to the coordinate geometry introduced by Descartes. A classic example is the circle of radius 1 in the plane, which is
Intrinsic and extrinsic motivations: Classic definitions and new directions.
 Contemporary Educational Psychology,
, 2000
"... Intrinsic and extrinsic types of motivation have been widely studied, and the distinction between them has shed important light on both developmental and educational practices. In this review we revisit the classic definitions of intrinsic and extrinsic motivation in light of contemporary research ..."
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Cited by 635 (8 self)
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Intrinsic and extrinsic types of motivation have been widely studied, and the distinction between them has shed important light on both developmental and educational practices. In this review we revisit the classic definitions of intrinsic and extrinsic motivation in light of contemporary research
ON A CLASSIC EXAMPLE IN THE NONNEGATIVE INVERSE EIGENVALUE PROBLEM
, 2008
"... This paper presents a construction of nonnegative matrices with nonzero spectrum τ =(3+t, 3 − t, −2, −2, −2) for t>0. The result presented gives a constructive proof of a result of Boyle and Handelman in this special case. This example exhibits a surprisingly fast convergence of the spectral gap ..."
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Cited by 2 (2 self)
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This paper presents a construction of nonnegative matrices with nonzero spectrum τ =(3+t, 3 − t, −2, −2, −2) for t>0. The result presented gives a constructive proof of a result of Boyle and Handelman in this special case. This example exhibits a surprisingly fast convergence of the spectral gap
(1) A classic example: Latin ‘change’
"... singular plural NOM vicēs ACC vicem vicēs GEN vicisDAT vicibus ABL vice vicibus Questions: • What units are affected? see Part A • How do gaps arise? see Part B • How are they maintained/enforced/learned? rest of conference? Part A: Synchronic typology (2) Three componen ..."
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singular plural NOM vicēs ACC vicem vicēs GEN vicisDAT vicibus ABL vice vicibus Questions: • What units are affected? see Part A • How do gaps arise? see Part B • How are they maintained/enforced/learned? rest of conference? Part A: Synchronic typology (2) Three components of an inflectional paradigm form 1 value x form 2 value y form 3 value z morphology morphosyntax
Discovery of Grounded Theory
, 1967
"... Abstract: This paper outlines my concerns with Qualitative Data Analysis ’ (QDA) numerous remodelings of Grounded Theory (GT) and the subsequent eroding impact. I cite several examples of the erosion and summarize essential elements of classic GT methodology. It is hoped that the article will clarif ..."
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Cited by 2637 (13 self)
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Abstract: This paper outlines my concerns with Qualitative Data Analysis ’ (QDA) numerous remodelings of Grounded Theory (GT) and the subsequent eroding impact. I cite several examples of the erosion and summarize essential elements of classic GT methodology. It is hoped that the article
Active Contours without Edges
, 2001
"... In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, MumfordShah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize an energy ..."
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Cited by 1206 (38 self)
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of the image, as in the classical active contour models, but is instead related to a particular segmentation of the image. We will give a numerical algorithm using finite differences. Finally, we will present various experimental results and in particular some examples for which the classical snakes methods
"GrabCut”  interactive foreground extraction using iterated graph cuts
 ACM TRANS. GRAPH
, 2004
"... The problem of efficient, interactive foreground/background segmentation in still images is of great practical importance in image editing. Classical image segmentation tools use either texture (colour) information, e.g. Magic Wand, or edge (contrast) information, e.g. Intelligent Scissors. Recently ..."
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Cited by 1130 (36 self)
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The problem of efficient, interactive foreground/background segmentation in still images is of great practical importance in image editing. Classical image segmentation tools use either texture (colour) information, e.g. Magic Wand, or edge (contrast) information, e.g. Intelligent Scissors
The genetical evolution of social behaviour
 I. J. Theor. Biol.
, 1964
"... A genetical mathematical model is described which allows for interactions between relatives on one another's fitness. Making use of Wright's Coefficient of Relationship as the measure of the proportion of replica genes in a relative, a quantity is found which incorporates the maximizing p ..."
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Cited by 932 (2 self)
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and possibility of limited selfsacrifices. Special cases of the model are used to show (a) that selection in the social situations newly covered tends to be slower than classical selection, (b) how in populations of rather nondispersive organisms the model may apply to genes affecting dispersion, and (c) how
Algorithms for Quantum Computation: Discrete Logarithms and Factoring
, 1994
"... A computer is generally considered to be a universal computational device; i.e., it is believed able to simulate any physical computational device with a cost in computation time of at most a polynomial factol: It is not clear whether this is still true when quantum mechanics is taken into consider ..."
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Cited by 1111 (5 self)
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of steps which is polynomial in the input size, e.g., the number of digits of the integer to be factored. These two problems are generally considered hard on a classical computer and have been used as the basis of several proposed cryptosystems. (We thus give the first examples of quantum cryptanulysis.)
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