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Page 7473 of Mathematical Reviews Vol. , Issue 99k [page]

1999 Mathematical Reviews  
Summary: “A general notion of pseudo-convolution based on pseudo-arithmetical operations is recalled. The idempotents with respect to pseudo-convolutions are investigated.  ...  A complete char- acterization of idempotents with respect to pseudo-convolutions based on the generalized Sugeno integral is given.  ... 

Page 202 of Mathematical Reviews Vol. , Issue 2001A [page]

2001 Mathematical Reviews  
(YU-NOVI-IM; Novi Sad) Pseudo-convolution based on idempotent operation as limit of g-convolution.  ...  Then, it is proved that a pseudo- convolution, whose core is a pseudo-integral based on a max- 28 MEASURE AND INTEGRATION 202 or min-decomposable measure, can be obtained as the limit of g-convolutions  ... 

Generalized real analysis and its applications

Endre Pap
2008 International Journal of Approximate Reasoning  
The real semirings serve as a base for pseudo-additive measures, pseudo-integrals, pseudo-convolutions which form the pseudo-analysis.  ...  In this paper there are stressed some of the advantages of a generalized real analysis (called pseudo-analysis) based on some real operations which are taken instead of the usual addition and product of  ...  Observe that in Definition 6 we have integral based on sup-measure as the limit value and the second operation for the integration is a pseudo-multiplication.  ... 
doi:10.1016/j.ijar.2007.05.015 fatcat:kutp2emp3zer7aerj6rthxd77e

Quasiclassical and Quantum Systems of Angular Momentum. Part I. Group Algebras as a Framework for Quantum-Mechanical Models with Symmetries [article]

J. J. Sławianowski, V. Kovalchuk, A. Martens, B. Gołubowska, and E. E. Rożko
2010 arXiv   pre-print
We investigate some problems of composed systems and the quasiclassical limit obtained as the asymptotics of "large" quantum numbers, i.e., "quickly oscillating" functions on groups.  ...  Even within this Schrödinger framework the algebras of operators related to group algebras are a very useful tool.  ...  The support within the framework of Institute internal programme 203 is also greatly acknowledged.  ... 
arXiv:1007.4121v4 fatcat:dfs5f7wxl5fzjjkzxd4cahjp4u

Minkowski type inequality for fuzzy and pseudo-integrals

B. Daraby, F. Rostampour, A. Rahimi
2017 Tbilisi Mathematical Journal  
In this paper, a Minkowski type inequality for fuzzy and pseudo-integrals is studied. The established results are based on the classical Minkowski's inequality for integrals.  ...  One of the famous mathematical inequality is Minkowski's inequality. It is an important inequality from both mathematical and application points of view.  ...  Based on this structure there where developed the concepts of ⊕-measure (pseudo-additive measure), pseudo-integral, pseudo-convolution, pseudo-Laplace transform and etc. ([7, 12, 27] ).  ... 
doi:10.1515/tmj-2017-0054 fatcat:iqhxckzmobbadipsfqrgki6cvq

GAN-Based Projector for Faster Recovery With Convergence Guarantees in Linear Inverse Problems

Ankit Raj, Yuqi Li, Yoram Bresler
2019 2019 IEEE/CVF International Conference on Computer Vision (ICCV)  
, as confirmed by experiments on compressed sensing, super-resolution, and inpainting.  ...  Our method learns a network-based projector for use in the PGD algorithm, eliminating expensive computation of the Jacobian of G.  ...  However, in [24] , the operator A is integrated into training the GAN, limiting it to a particular inverse problem.  ... 
doi:10.1109/iccv.2019.00570 dblp:conf/iccv/RajLB19 fatcat:bop37m6m4fdrrjeh4anobb553q

An algebra of pseudo-differential operators and quantum mechanics in phase space

A. Grossmann, Guy Loupias, Elias M. Stein
1968 Annales de l'Institut Fourier  
It is based on some known results reviewed in Sect. 5. Sect. 7 introduces the algebra of pseudo-differential operators in phase space. They are C 00 functions with « regular <( asymptotic behaviour.  ...  Such statements have a vague resemblance to the words one hears about the classical limit of quantum mechanics.  ...  (and convolution).  ... 
doi:10.5802/aif.305 fatcat:5v4lfvrhqjgcxfr2kamh47zg2i

Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras [article]

Alexander Neshitov, Victor Petrov, Nikita Semenov, Kirill Zainoulline
2016 arXiv   pre-print
of finitely generated projective modules of certain Hecke-type algebra H which depends on the root datum of G, on the torsor E and on the formal group law of the theory h.  ...  Consider a twisted form E/B of the variety of Borel subgroups G/B over k.  ...  Our arguments are essentially based on the Bruhat decomposition of G stated using the G-orbits on the product G/H × k G/H and the resolution of singularities (8) .  ... 
arXiv:1505.07083v4 fatcat:h743bzkl7jd3ngzb4qbc4rupii

Coherence and strictification for self-similarity [article]

Peter Hines
2015 arXiv   pre-print
Based on Saavedra's theory of units, we first demonstrate that strict self-similarity cannot simultaneously occur with strict associativity -- i.e. no monoid may have a strictly associative (semi-)monoidal  ...  and non-strict self-similarity, and hence monoid analogues of many categorical properties.  ...  We will abuse notation slightly; based on the monoid isomorphism End(x) ∼ = C(S, S), we treat the semi-monoidal tensor ¡ equally as an operation on C(S, S) = F S (x, x) and denote the (unique) associativity  ... 
arXiv:1304.5954v2 fatcat:fqvszthkfrh5fopsmmef32qgum

Smoothing the Geometry of Probabilistic Box Embeddings

Xiang Li, Luke Vilnis, Dongxu Zhang, Michael Boratko, Andrew McCallum
2019 International Conference on Learning Representations  
We build on the Box Lattice model of Vilnis et al. (2018) , which showed promising results in modeling soft-inclusions through an overlapping hierarchy of sets, parameterized as high-dimensional hyperrectangles  ...  We demonstrate increased or matching performance on WordNet hypernymy prediction, Flickr caption entailment and a MovieLens-based market basket dataset.  ...  Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect those of the sponsor.  ... 
dblp:conf/iclr/LiVZBM19 fatcat:cdmwxwwoc5dsjetnwutgoyrsj4

An Introduction to Deep Morphological Networks [article]

Keiller Nogueira and Jocelyn Chanussot and Mauro Dalla Mura and Jefersson A. dos Santos
2021 arXiv   pre-print
Overcoming this, non-linear operations, such as morphological ones, may preserve such properties of the objects, being preferable and even state-of-the-art in some applications.  ...  The recent impressive results of deep learning-based methods on computer vision applications brought fresh air to the research and industrial community.  ...  [25] proposed a convolutional network that aggregates pseudo-morphological operations.  ... 
arXiv:1906.01751v2 fatcat:feodzexqtbhmpayxrskgwsygim

Trumpets: Injective Flows for Inference and Inverse Problems [article]

Konik Kothari, AmirEhsan Khorashadizadeh, Maarten de Hoop, Ivan Dokmanić
2021 arXiv   pre-print
They retain many of the advantages of the standard flows such as training based on maximum likelihood and a fast, exact inverse of the generator.  ...  We demonstrate that Trumpets can be trained orders of magnitudes faster than standard flows while yielding samples of comparable or better quality.  ...  ACKNOWLEDGEMENTS MVdH gratefully acknowledges support from the Department of Energy under grant DE-SC0020345, the Simons Foundation under the MATH + X program, and the corporate members of the Geo-Mathematical  ... 
arXiv:2102.10461v1 fatcat:b6ct3l2vn5axlgl5fxieozynbe

Pseudo regular elements in a normed ring

Richard Arens
1992 Pacific Journal of Mathematics  
We present some conditions which imply pseudo regularity, and some that prevent it. For example, if the non-zero elements of the spectrum of / are bounded away from zero, then / is pseudo regular.  ...  °oo I*/(OI<# < °o for a pseudo regular element / of L ι (Z), then the spectrum is bounded away from 0.  ...  The situation based on the action of L ι (Z) on L 2 (Z). A u e L ι (Z) works on an element / in L 2 (Z) by sending it into u * / in L 2 (Z) . So we are defining uf as u * / in this situation.  ... 
doi:10.2140/pjm.1992.154.1 fatcat:2rj56bue3vcebbh72kcrn2gkve

Betweenness relations in probabilistic metric spaces

Richard Moynihan, Berthold Schweizer
1979 Pacific Journal of Mathematics  
Conditions under which some or all of the properties of metric betweenness are satisfied are determined and the relationships among the different concepts are investigated.  ...  Four distinct versions of the betweenness concept for probabilistic metric spaces are defined and studied.  ...  ., there exists a nontrivial idempotent in the semigroup (J + f τ). Proof. Clearly (ii) implies (i) on letting F = G = H.  ... 
doi:10.2140/pjm.1979.81.175 fatcat:bco7m4bezbei3dlg35rcwtz2uu

The Maslov dequantization, idempotent and tropical mathematics: A brief introduction [article]

G. L. Litvinov
2005 arXiv   pre-print
Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant ħ tends to zero taking imaginary values  ...  This paper is a brief introduction to idempotent and tropical mathematics.  ...  Some basic ideas Idempotent mathematics is based on replacing the usual arithmetic operations with a new set of basic operations (such as maximum or minimum), that is on replacing numerical fields by idempotent  ... 
arXiv:math/0507014v1 fatcat:t3sqllou2vfphg7isscmiw7ihq
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