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Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes

Michel Grabisch, Jean-Luc Marichal, Radko Mesiar, Endre Pap
2011 Information Sciences  
In this second part of our state-of-the-art overview on aggregation theory, based again on our recent monograph on aggregation functions, we focus on several construction methods for aggregation functions  ...  and on special classes of aggregation functions, covering the well-known conjunctive, disjunctive, and mixed aggregation functions.  ...  Acknowledgment The authors gratefully acknowledge the support of following projects: bilateral project between Slovakia and Serbia SK-SRB-19, the internal research project  ... 
doi:10.1016/j.ins.2010.08.040 fatcat:l6k5bkwhxfeqhablxc6jgdtobq

Efficient Algorithms for Constructing an Interpolative Decomposition [article]

Rishi Advani, Sean O'Hagan
2022 arXiv   pre-print
In this work, we introduce two optimized algorithms to construct an interpolative decomposition along with numerical evidence that they outperform the current state of the art.  ...  This enables it to preserve matrix properties such as sparsity and non-negativity. It also helps save space in memory.  ...  This paper is a continuation of work done with Madison Crim as undergraduate research fellows at ICERM.  ... 
arXiv:2105.07076v2 fatcat:tinp3ihk2rhkzemd355aeki7eu

Generalized continuous and left-continuous t-norms arising from algebraic semantics for fuzzy logics

Carles Noguera, Francesc Esteva, Lluís Godo
2010 Information Sciences  
The unsolved problem of describing the structure of left-continuous t-norms is presented together with a fistful of construction-decomposition techniques that apply to some distinguished families of t-norms  ...  Then we move to the general non-continuous case corresponding to left-continuous t-norms and MTL-chains.  ...  Acknowledgments We want to thank Vicenzo Marra for his helpful comments on group theory and the anonymous referees for their many comments and remarks that helped us improving much the first  ... 
doi:10.1016/j.ins.2009.12.011 fatcat:gt2fmpoj7jgcxnhot7d4asmwee

Non-normal Recurrent Neural Network (nnRNN): learning long time dependencies while improving expressivity with transient dynamics [article]

Giancarlo Kerg, Kyle Goyette, Maximilian Puelma Touzel, Gauthier Gidel, Eugene Vorontsov, Yoshua Bengio, Guillaume Lajoie
2019 arXiv   pre-print
This ensures eigenvalues with unit norm and thus stable dynamics and training. However this comes at the cost of reduced expressivity due to the limited variety of orthogonal transformations.  ...  A recent strategy to circumvent the exploding and vanishing gradient problem in RNNs, and to allow the stable propagation of signals over long time scales, is to constrain recurrent connectivity matrices  ...  Acknowledgments We would like to thank Tim Cooijmans, Sarath Chandar, Jonathan Binas, Anirudh Goyal, César Laurent and Tianyu Li for useful discussions.  ... 
arXiv:1905.12080v2 fatcat:y4cc6vm6cfhdrloy5ht6tx5nva

Improved Differential Privacy for SGD via Optimal Private Linear Operators on Adaptive Streams [article]

Sergey Denisov, Brendan McMahan, Keith Rush, Adam Smith, Abhradeep Guha Thakurta
2022 arXiv   pre-print
Motivated by recent applications requiring differential privacy over adaptive streams, we investigate the question of optimal instantiations of the matrix mechanism in this setting.  ...  We prove fundamental theoretical results on the applicability of matrix factorizations to adaptive streams, and provide a parameter-free fixed-point algorithm for computing optimal factorizations.  ...  In particular Thomas pointed us to the Speyer's argument of the lower bound; Zach discussed several of the technical arguments with the authors; Jon provided helpful insights into alternate proofs of Theorem  ... 
arXiv:2202.08312v2 fatcat:4jwgmhm3mfderhnskbnbredypm

Ground-state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks

Ido Niesen, Philippe Corboz
2018 Physical review B  
Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice.  ...  In particular, contrary to the equivalent square lattice model, we demonstrate that on the triangular lattice the one-dimensional Haldane phase does not reach all the way up to the two-dimensional limit  ...  This work is part of the Delta-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).  ... 
doi:10.1103/physrevb.97.245146 fatcat:lyyp5xs4r5bkle2f6wsjxndcga

A Householder-based algorithm for Hessenberg-triangular reduction [article]

Zvonimir Bujanović, Lars Karlsson, Daniel Kressner
2018 arXiv   pre-print
The QZ algorithm for computing eigenvalues and eigenvectors of a matrix pencil A - λ B requires that the matrices first be reduced to Hessenberg-triangular (HT) form.  ...  Even though the new algorithm requires more floating point operations than the state of the art algorithm, extensive experiments on both real and synthetic data indicate that it is still competitive, even  ...  Acknowledgments This research was conducted using the resources of High Performance Computing Center North (HPC2N).  ... 
arXiv:1710.08538v2 fatcat:qjekci3ebjgjtkus2nne2h7fqe

My introduction to copulas

Fabrizio Durante, Giovanni Puccetti, Matthias Scherer, Steven Vanduffel
2017 Dependence Modeling  
In addition to his monograph An Introduction to Copulas, Roger has authored or co-authored eleven books published by the Mathematical Association of America.  ...  He has served on the editorial boards of two MAA journals and several of their book series.  ...  The authors would like to thank Roger Nelsen for accepting to give this interview and his valuable time.  ... 
doi:10.1515/demo-2017-0006 fatcat:26zzb3p3gbarvnbuvyqgfw76k4

Between World Borders

James Tavares
2019 Canadian Journal of Children s Rights / Revue canadienne des droits des enfants  
This paper explores from a critical mad studies perspective, the under-investigated relationship between madness and constructions of childhood.  ...  This paper asserts the sanist move to only consider the shared phenomenological conscious experiences of populations at large is a form of cognitive injustice that ignores the multiplicity of realities  ...  Therefore, for mad children's art to fully be a meaningful and agentive means of communicating different states of being, they must be given the freedom to design not as a means to become normative, or  ... 
doi:10.22215/cjcr.v6i1.1919 fatcat:fksn6tvitfbvvb4nhyora4exna

High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere

Francis X. Giraldo
2006 Journal of Computational Physics  
Finally, the DG methods required less computing time than the SE method due to the local nature of the mass matrix. Published by Elsevier Inc.  ...  This leads to a full mass matrix which, unlike for continuous Galerkin (CG) methods such as the spectral element (SE) method presented in Giraldo and Warburton [A nodal triangle-based spectral element  ...  Acknowledgements I gratefully acknowledge the support of the Office of Naval Research through program element PE-0602435N. I thank Tim Warburton for providing me the cubature data files.  ... 
doi:10.1016/ fatcat:bzvbrm4btfe6pkebczn2lmzs3m

Pseudospectra of rectangular matrices

T. G. Wright
2002 IMA Journal of Numerical Analysis  
Pseudospectra of rectangular matrices vary continuously with the matrix entries, a feature that eigenvalues of these matrices do not have.  ...  Some properties of eigenvalues and pseudospectra of rectangular matrices are explored, and an efficient algorithm for the computation of pseudospectra is proposed.  ...  We are also grateful to Dan Boley and Paul Van Dooren for their advice about control theory.  ... 
doi:10.1093/imanum/22.4.501 fatcat:ly6bxpdhu5ftjg4uhh4wbzrdme

Without Precedent: The Watts Towers

Thomas Harrison
2010 California Italian Studies  
Rodia's lot would have been the triangular one at the far left. Courtesy of The Benjamin and Gladys Thomas Air Photo Archives (Spence Collection).  ...  , " Whitfield 1996) , the custodians of a particular image of the city (county and state officials) clash with the defenders of a particular notion of art.  ... 
doi:10.5070/c312008893 fatcat:geq26aibz5fanl36afx3gyah6q

Disorientations: John Singer Sargent and Queer Phenomenology

Anne Pasek
2013 EMAJ: Electronic Melbourne Art Journal  
Art history has long struggled to find a method to account for the diverse expressions of queer desire across the heterogeneous landscape of history.  ...  While there has been a surge of research on the lives, artworks, and audiences of artists that trouble the heterosexual norm, the wider impact of this scholarship is often limited to singular biographies  ...  and suggestive style that left the door open for other audiences to pursue independent conclusions.' 66 Sargent scholars have continued to do just that.  ... 
doi:10.38030/emaj.2013.7.2 fatcat:b3wojcjjfjdg3ppgejthc4iasu

Rational Krylov algorithms for eigenvalue computation and model reduction [chapter]

Axel Ruhe, Daniel Skoogh
1998 Lecture Notes in Computer Science  
It is shown how Rational Krylov can be used to nd a reduced order model of a large linear dynamical system.  ...  In Electrical Engineering, it is important that the reduced model is accurate over a wide range of frequencies, and then Rational Krylov with several shifts comes to advantage.  ...  and K, bringing one of them to triangular form.  ... 
doi:10.1007/bfb0095373 fatcat:vfslcsnsnfh7led2tefdddvqxe

Quasi-Autoregressive Residual (QuAR) Flows [article]

Achintya Gopal
2020 arXiv   pre-print
The current state of the art results are built upon residual flows as these can model a larger hypothesis space than coupling layers.  ...  Compared to the standard residual flow approach, this simplification retains many of the benefits of residual flows while dramatically reducing the compute time and memory requirements, thus making flow-based  ...  We thank Aaron Key (Bloomberg Quant Research) for discussions about normalizing flows and the plots in the paper.  ... 
arXiv:2009.07419v1 fatcat:rmcgj6n7czhuhi3uxztxzaiqe4
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