Results 261 to 270 of about 795,089 (287)

Epistemic representation, informativeness and the aim of faithful representation

Synthese, 2012
In 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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Computing faithful representations for nilpotent Lie algebras [PDF]

Journal of Algebra, 2009
We describe various methods to determine a faithful representation of small dimension for a finite-dimensional nilpotent Lie algebra over an arbitrary field.
Dietrich Burde, Bettina Eick
exaly   +2 more sources

Towards Faithful and Meaningful Interpretable Representations.

CoRR, 2020
Interpretable 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 Representation of Separable Distributions

Neural Computation, 1997
A 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, David G. Grier, Jack D. Cowan   +2 more
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Faithful representation of nonmonotonic patterns of inference

Minds and Machines, 1992
Recently, 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, 1984
Cet 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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Faithful Representation of a Family of Sets by a Set of Intervals

SIAM Journal on Computing, 1975
Let $Q = \{ q_1 ,q_2 , \cdots ,q_m \} $ be a family of finite, nonempty sets, and $S = \cup_{q_i \in Q} \{ q_i \} $.
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Faithful Representations of Semigroup Crossed Products by Endomorphisms

International Journal of Mathematics and Computer Science
Given a cyclically ordered free Abelian group G, a unital C^*-algebra A, and a semigroup homomorphism alpha from P(G) into the semigroup Endo(A), we characterize faithful representations of crossed product Ax_{alpha} P(G) by endomorphisms.
Rosjanuardi, Rizky, Gozali, Sumanang M., Albania, Imam N.   +2 more
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Faithful Representations of Graphs by Islands in the Extended Grid

2010
We 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, Pavol Hell, Jan Kratochvíl, Tomás Vyskocil   +3 more
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Faithful Representations of Finitely Generated Metabelian Groups

Canadian Journal of Mathematics, 1975
In [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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