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Faithful representations of limit groups II
Groups, Complexity, Cryptology, 2013 Benjamin Fine, Gerhard Rosenberger
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Epistemic representation, informativeness and the aim of faithful representation
Synthese, 2012In this paper, I take scientific models to be epistemic representations of their target systems. I define an epistemic representation to be a tool for gaining information about its target system and argue that a vehicle’s capacity to provide specific information about its target system—its informativeness—is an essential feature of this kind of ...
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Faithful Representations of Lie Algebras
The Annals of Mathematics, 1949The object of this paper is to give a new proof of the theorem that every Lie algebra over a field K of characteristic zero, has a faithful representation. The first proof of this result, at least when K is algebraically closed, is due to Ado (1). Later Cartan (2) gave a simpler and entirely different proof for the case when K is the field of either ...
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Faithful Representation of Separable Distributions
Neural Computation, 1997A geometric approach to data representation incorporating information theoretic ideas is presented. The task of finding a faithful representation, where the input distribution is evenly partitioned into regions of equal mass, is addressed. For input consisting of mixtures of statistically independent sources, we treat independent component analysis ...
Juan K. Lin +2 more
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Faithful representation of nonmonotonic patterns of inference
Minds and Machines, 1992Recently, John Bell has proposed that a specific conditional logic, C, be considered as a serious candidate for formally representing and faithfully capturing various (possibly all) formalized notions of nonmonotonic inference. The purpose of the present paper is to develop evaluative criteria for critically assessing such claims.
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Representations of Rings with Faithful Monoform Modules
Journal of the London Mathematical Society, 1984Cet article a la même motivation que celle d'un article précédent de l'A. [Commun. Algebra 9, 23-45 (1981; Zbl 0469.16004)], à savoir l'étude d'une classe d'anneaux caractérisés par un théorème de densité analogue au théorème de densité de Jacobson. Un anneau R est dit anneau m-dense de transformations linéaires si c'est un sous- anneau de l'anneau des
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Towards Faithful and Meaningful Interpretable Representations.
CoRR, 2020Interpretable representations are the backbone of many black-box explainers. They translate the low-level data representation necessary for good predictive performance into high-level human-intelligible concepts used to convey the explanation. Notably, the explanation type and its cognitive complexity are directly controlled by the interpretable ...
Kacper Sokol, Peter A. Flach
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Faithful Shape Representation for 2D Gaussian Mixtures
2007 IEEE International Conference on Image Processing, 2007It has been recently discovered that a faithful representation for the shape of some simple distributions can be constructed using invariant statistics [1,2]. In this paper, we consider the more general case of a Gaussian mixture model. We show that the shape of generic Gaussian mixtures can be represented without any loss by the distribution of the ...
Mireille Boutin
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Faithful Representations of Graphs by Islands in the Extended Grid
2010We investigate embeddings of graphs into the infinite extended grid graph. The problem was motivated by computation on adiabatic quantum computers, but it is related to a number of other well studied grid embedding problems. Such problems typically deal with representing vertices by grid points, and edges by grid paths, while minimizing some objective ...
Michael D. Coury +3 more
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Faithful Representations of Finitely Generated Metabelian Groups
Canadian Journal of Mathematics, 1975In [3] Remeslennikov proves that a finitely generated metabelian group G has a faithful representation of finite degree over some field F of characteristic zero (respectively, p > 0) if its derived group G’ is torsion-free (respectively, of exponent p).
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