نتایج جستجو برای: generalized inner biderivation

تعداد نتایج: 245105  

Journal: :CoRR 2015
David Lopez-Paz Léon Bottou Bernhard Schölkopf Vladimir Vapnik

Distillation (Hinton et al., 2015) and privileged information (Vapnik & Izmailov, 2015) are two techniques that enable machines to learn from other machines. This paper unifies the two into generalized distillation, a framework to learn from multiple machines and data representations. We provide theoretical and causal insight about the inner workings of generalized distillation, extend it to un...

Journal: :Appl. Math. Lett. 2005
Jinyan Fan

The main purpose of this paper is to extend the conventional separation theorems concerning the convex subset of Rm to generalized separation theorems concerning the convex subset of Rm × Sn. This is accomplished by the introduction of the generalized inner product in Rm × Sn. Then we derive the famous Farkas' lemma in nonlinear semidefinite programming, which may be very important for the anal...

2007
Carlos Grandón Gilles Chabert Bertrand Neveu

This paper deals with systems of parametric equations over the reals, in the framework of interval constraint programming. As parameters vary within intervals, the solution set of a problem may have a non null volume. In these cases, an inner box (i.e., a box included in the solution set) instead of a single punctual solution is of particular interest, because it gives greater freedom for choos...

2005
Xizhe Zhang Tianyang Lv Zhengxuan Wang

The iteration of complex function can generate beautiful fractal images. This paper presents a novel method based on the iteration of the distance ratio with two points, which generates a generalized Mandelbrot set according to distance ratio convergence times. This paper states the definition of distance ratio and its iteration. Then taking the complex function f(z)=z+c for example, it discuss...

2014
Joris Bierkens Onno van Gaans

We call (T (t))t≥0 an abstract delay semigroup. This notion is introduced in more detail in Section 2. The semigroup thus obtained is rarely a contraction semigroup. In this paper we will show that under very mild conditions, we may change the inner product on E into an equivalent inner product, such that the delay semigroup becomes a (generalized) contraction semigroup. A contraction semigroup...

2005
Michael Skeide

After discussing some basic facts about generalized module maps, we use the representation theory of the algebra Ba(E) of adjointable operators on a Hilbert B–module E to show that the quotient of the group of generalized unitaries on E and its normal subgroup of unitaries on E is a subgroup of the group of automorphisms of the range ideal BE of E in B. We determine the kernel of the canonical ...

Journal: :bulletin of the iranian mathematical society 0
vladimir pavlovic university of nis, faculty of sciences and mathematics aleksandar s. cvetkovi' c department of mathematics and informatics, faculty of mechancial engineering, university of belgrade

given a mapping $f:xto x$ we naturally associate to it a monotonic map $gg_f:exp xto exp x$ from the power set of $x$ into itself, thus inducing a generalized topology on $x$. in this paper we investigate some properties of generalized topologies which are defined by such a procedure.

2006
Lou Burnard

This paper presents an update on the current state of development of the Text Encoding Initiative’s Guidelines for Electronic Text Encoding and Interchange. Since the last major edition in 2002, which saw the conversion of the Guidelines into XML, there has been substantial activity on adding new content in areas of particular interest to historical corpus builders. The TEI has also reinvented ...

Journal: :bulletin of the iranian mathematical society 2011
a. ghaffari

2008
Marina Chugunova Dmitry Pelinovsky

We address the count of isolated and embedded eigenvalues in a generalized eigenvalue problem defined by two self-adjoint operators with a positive essential spectrum and a finite number of isolated eigenvalues. The generalized eigenvalue problem determines spectral stability of nonlinear waves in a Hamiltonian dynamical system. The theory is based on the Pontryagin’s Invariant Subspace theorem...

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