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Dataset Distillation with Neural Characteristic Function: A Minmax Perspective
Computer Vision and Pattern RecognitionDataset distillation has emerged as a powerful approach for reducing data requirements in deep learning. Among various methods, distribution matching-based approaches stand out for their balance of computational efficiency and strong performance. However,
Shaobo Wang +6 more
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Implementation and Computation of a Value for Generalized Characteristic Function Games
ACM Transactions on Economics and Computation, 2014 Tomasz Michalak +2 more
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1989
The characteristic function (CF, defined below) is very useful in many areas of mathematics, not only probability and statistics. Usually, this term is used for what we have called the indicator function and our CF is called a bilateral Fourier transform; needless to say, there is also variation in notation. We begin this lesson with some remarks about
Hung T. Nguyen, Gerald S. Rogers
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The characteristic function (CF, defined below) is very useful in many areas of mathematics, not only probability and statistics. Usually, this term is used for what we have called the indicator function and our CF is called a bilateral Fourier transform; needless to say, there is also variation in notation. We begin this lesson with some remarks about
Hung T. Nguyen, Gerald S. Rogers
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Characteristic Functions of Functions
Nature, 1968BECAUSE the expense of computing Fourier transforms is much less than it used to be, the definition of statistical distributions by means of their characteristic functions (CFs) is of increased practical value. I shall outline a formal process for expressing the characteristic function of a function g(X) in terms of the CF of X, denoted by φ, together ...
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Functional Characteristics of a Multilingual Processor
IEEE Transactions on Computers, 1971This paper describes the functional characteristics of the Standard Computer MLP-900 processor. This microprogrammable processor is designed for general-purpose emulation of a wide variety of known processors as well as being adaptable to new general-purpose and special-purpose applications.
Harold W. Lawson Jr., Burton K. Smith
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The characteristic functions of functions
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1968Abstract The characteristic functions of various functions of a real or vector random variable are expressed in terms of the characteristic function of that variable. In the examples there is special emphasis on the stable distributions that have real characteristic functions.
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Abstract Characteristic Function
Complex Analysis and Operator Theory, 2010This paper is concerned with (a very large class of) \(n\)-tuples of commuting operators on a Hilbert space which have an analytic model consisting of multiplication operators on a domain in \(\mathbb{C}^n\), as developed in [\textit{C.-G. Ambrozie}, \textit{M. Engliš} and \textit{V. Müller}, J. Oper. Theory 47, No. 2, 287--302 (2002; Zbl 1019.47015)].
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On the theory of characteristic functions
Russian Mathematical Surveys, 2004The paper gives a representation theorem (sufficient and necessary conditions) for characteristic functions in probability theory. The theorem is based on the representation theorem for completely monotonic functions.
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An Inequality for a Multidimensional Characteristic Function
Theory of Probability & Its Applications, 1992See the review Zbl 0732.60017.
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Characteristic Functions in Statistics
National Mathematics Magazine, 1942Not ...
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