Decoupling multivariate functions using tensor decompositions

Philippe Dreesen; Mariya Ishteva; Joannes Schoukens

Decoupling multivariate functions using tensor decompositions

Philippe Dreesen, Mariya Ishteva, Joannes Schoukens

Elektriciteit

Onderzoeksoutput: Meeting abstract (Book)

Samenvatting

We present a method to decompose a set of multivariate real functions into linear combinations of univariate functions in linear forms of the input variables [3]. The procedure collects ﬁrst-order information by evaluating the Jacobian matrix of the function in a set of points. A tensor decomposition of the tensor constructed from the Jacobian matrices provides the decoupled representation.

Originele taal-2	English
Titel	86th Annual Meeting of the International Association of Applied Mathematics and Mechanics
Status	Published - 23 mrt. 2015
Evenement	GAMM 2015 - Annual meeting - Grand Hotel Tiziano, Lecce, Italy Duur: 23 mrt. 2015 → 27 mrt. 2015

Seminar

Seminar	GAMM 2015 - Annual meeting
Land/Regio	Italy
Stad	Lecce
Periode	23/03/15 → 27/03/15

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title = "Decoupling multivariate functions using tensor decompositions",

abstract = "We present a method to decompose a set of multivariate real functions into linear combinations of univariate functions in linear forms of the input variables [3]. The procedure collects ﬁrst-order information by evaluating the Jacobian matrix of the function in a set of points. A tensor decomposition of the tensor constructed from the Jacobian matrices provides the decoupled representation.",

keywords = "multivariate functions",

author = "Philippe Dreesen and Mariya Ishteva and Joannes Schoukens",

year = "2015",

month = mar,

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language = "English",

booktitle = "86th Annual Meeting of the International Association of Applied Mathematics and Mechanics",

note = "GAMM 2015 - Annual meeting ; Conference date: 23-03-2015 Through 27-03-2015",

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TY - CHAP

T1 - Decoupling multivariate functions using tensor decompositions

AU - Dreesen, Philippe

AU - Ishteva, Mariya

AU - Schoukens, Joannes

PY - 2015/3/23

Y1 - 2015/3/23

N2 - We present a method to decompose a set of multivariate real functions into linear combinations of univariate functions in linear forms of the input variables [3]. The procedure collects ﬁrst-order information by evaluating the Jacobian matrix of the function in a set of points. A tensor decomposition of the tensor constructed from the Jacobian matrices provides the decoupled representation.

AB - We present a method to decompose a set of multivariate real functions into linear combinations of univariate functions in linear forms of the input variables [3]. The procedure collects ﬁrst-order information by evaluating the Jacobian matrix of the function in a set of points. A tensor decomposition of the tensor constructed from the Jacobian matrices provides the decoupled representation.

KW - multivariate functions

M3 - Meeting abstract (Book)

BT - 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics

T2 - GAMM 2015 - Annual meeting

Y2 - 23 March 2015 through 27 March 2015

ER -

Decoupling multivariate functions using tensor decompositions

Samenvatting

Seminar

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