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tensor.bib
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%%%ANCIENT
@article{hitchcock-rank-1927,
title={Multiple invariants and generalized rank of a p-way matrix or tensor},
author={Hitchcock, F. L.},
journal={J. Math. Phys},
volume={7},
number={1},
pages={39--79},
year={1927}
}
@article{hitchcock-sum-1927,
title={The expression of a tensor or a polyadic as a sum of products},
author={Hitchcock, F. L.},
journal={J. Math. Phys},
volume={6},
number={1},
pages={164--189},
year={1927}
}
@article{cattell-mfac-1944,
title={``Parallell proportional profiles'' and other principles for determining the choice fo factors by rotation},
author={Cattell, R.B.},
journal={Psychometrika},
volume={9},
number={4},
pages={267-283},
year={1944}
}
@article{cattell-three-1952,
author = {Cattell, R.B.},
title = {The three basic factor-analytic research designs and their interrelations and derivatives},
journal = {Psychological Bulletin},
year = 1952,
volume = {49},
number = 5,
pages = {499--520}
}
@book{bellman-dyn-program-1957,
author = {Bellman, R. E.},
title = {Dynamic programming},
publisher = {Princeton University Press},
year = {1957}
}
%%% 1960
@article{smolyak-1963,
author={Smolyak, S. A.},
title={Quadrature and interpolation formulas for tensor products of certain class of functions},
journal={Dokl. Akad. Nauk SSSR},
volume={148},
number={5},
pages={1042--1053},
year={1963},
note={Transl.: Soviet Math. Dokl. 4:240-243, 1963}
}
@article{smolyak-1963rus,
author={Смоляк, С. А.},
title={Квадратурные и интерполяционные формулы на тензорных произведениях некоторых классов функций},
journal={Докл. АН СССР},
volume={148},
number={5},
pages={1042--1053},
year={1963},
language={russian},
}
@article{tucker-factor-1963,
author = {Tucker, L.R.},
title = {Implications of factor analysis of three-way matrices for measurement of change},
journal = {Problems in measuring change},
year = {1963},
pages = {122--137}
}
@article{tucker-factor-1964,
author = {Tucker, L. R.},
title = {The extension of factor analysis to three-dimensional matrices},
journal = {Contributions to mathematical psychology},
year = {1964},
pages = {109--127}
}
@article{Tucker,
author={Tucker, L. R.},
title={Some mathematical notes on three-mode factor analysis},
journal={Psychometrika},
volume="31",
pages="279-311",
year="1966",
doi={10.1007/BF02289464}
}
@article{strassen-gaussian-1969,
author = {Strassen, V.},
title = {Gaussian elimination is not optimal},
journal = {Numerische Mathematik},
year = {1969},
volume = {13},
number = {4},
pages = {354--356},
publisher = {Springer}
}
%%% 1970
@article{harshman-parafac-1970,
author={Harshman, R. A.},
title={Foundations of the {PARAFAC} procedure: models and conditions for an explanatory multimodal factor analysis},
journal={UCLA Working Papers in Phonetics},
volume="16",
pages="1-84",
year="1970",
}
@article{cc-parafac-1970,
author={Caroll, J. D. and Chang, J. J},
title={Analysis of individual differences in multidimensional scaling via n-way generalization of {Eckart--Young} decomposition},
journal="Psychometrika",
volume="35",
pages="283-319",
year="1970",
doi={10.1007/BF02310791}
}
@article{kruskal-1977,
title={Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics},
author={Kruskal, J.B.},
journal={Linear Algebra Appl.},
volume={18},
number={2},
pages={95--138},
year={1977},
doi={10.1016/0024-3795(77)90069-6}
}
%%% 1980
@article{tuckerals-1980,
title={Principal component analysis of three-mode data by means of alternating least squares algorithms},
author={Kroonenberg, P.M. and de Leeuw, J.},
journal={Psychometrika},
volume={45},
number={1},
pages={69--97},
year={1980},
}
@article{bini-bilinear-1980,
author = {Bini, D.},
title = {Relations between exact and approximate bilinear algorithms. {Applications}},
journal = {Calcolo},
year = {1980},
volume = {17},
number = {1},
pages = {87--97},
publisher = {Springer}
}
@article{appellof-chrom-1981,
author = {Appellof, C. J. and Davidson, E. R.},
title = {Strategies for analyzing data from video fluorometric monitoring of liquid chromatographic effluents},
journal = {Analytical Chemistry},
year = {1981},
volume = {53},
number = {13},
pages = {2053--2056},
publisher = {American Chemical Society}
}
@book{kroonenberg-3mode-1983,
author = {Kroonenberg, P.M.},
title = {Three-mode principal component analysis: Theory and applications},
publisher = {DSWO press},
year = {1983},
}
@book{coppi-multiway-1989,
author = {Coppi, R. and Bolasco, S.},
title = {Multiway data analysis},
address={Amsterdam, Netherlands},
publisher = {North-Holland Publishing Co.},
year = {1989},
}
@article{baye-dvr-1986,
author = {Baye, D. and Heenen, P.-H.},
title = {Generalised meshes for quantum mechanical problems},
year = {1986},
journal = {J. Phys. A: Math. Gen.},
volume = {19},
number = {11},
pages = {2041-2059},
doi = {10.1088/0305-4470/19/11/013},
area = {quantum mechanics, discretization, dvr},
}
%%% 1990
@article{buhmann-radial-1990,
title={Multivariate cardinal interpolation with radial-basis functions},
author={Buhmann, M.D.},
journal={Constr. Approx.},
volume={6},
number={3},
pages={225--255},
year={1990},
}
@article{henrion-diag-1993,
author = {Henrion, R.},
title = {Body diagonalization of core matrices in three-way principal components analysis: Theoretical bounds and simulation},
journal = {J. Chemometrics},
year = {1993},
volume = {7},
pages = {477--477},
publisher = {Wiley}
}
@incollection{vanloan-approx-kron-prod-1993,
author = {van Loan, C. F. and Pitsianis, N.},
title = {Approximation with {K}ronecker products},
booktitle = {Linear algebra for large scale and real-time applications ({L}euven, 1992)},
pages = {293--314},
year = 1993,
volume = {232},
series = {NATO Adv. Sci. Inst. Ser. E Appl. Sci.},
address = {Dordrecht},
mrclass = {65F10},
mrnumber = {MR1250183 (94j:65051)}
}
@article{henrion-nway-1994,
author = {Henrion, R.},
title = {N-way principal component analysis: theory, algorithms and applications},
journal = {Chemometrics and intelligent laboratory systems},
year = {1994},
volume = {25},
number = {1},
pages = {1--23},
publisher = {Elsevier}
}
@article{smilde-multicomp-1994,
author = {Smilde, A. K. and Tauler, R. and Henshaw, J. M. and Burgess, L. W. and Kowalski, B. R.},
title = {Multicomponent determination of chlorinated hydrocarbons using a reaction-based chemical sensor. 3. Medium-rank second-order calibration with restricted {Tucker} models},
journal = {Analytical Chemistry},
year = 1994,
volume = {66},
number = 20,
pages = {3345--3351},
publisher = {American Chemical Society}
}
@article{launey-skp-1994,
author = {De Launey, Warwick and Seberry, Jennifer},
title = {The strong {Kronecker} product},
journal = {J. of Combin. Theory, Ser. A},
volume = {66},
number = {2},
pages = {192--213},
year = {1994},
doi = {10.1016/0097-3165(94)90062-0},
area = {tensors},
}
@article{har-1990,
author = {Hastad, J.},
title = {Tensor rank is {NP}--complete},
journal = {J. of Algorithms},
year = {1990},
volume = {11},
number = {4},
pages = {644--654},
doi = {10.1016/0196-6774(90)90014-6},
area = {tensors},
}
@article{Bungartz-Converg-of-CT-Lapl-94,
author = {Bungartz, H.-J. and Griebel, M. and R\"{o}schke, D. and Zenger, C.},
title = {Pointwise convergence of the combination technique for {Laplace's equation}},
journal = {East-West J. Numer. Math},
year = {1994},
volume = {2},
pages = {21-45}
}
@article{bro-parafac-1997,
author="Bro, Richard",
title={{PARAFAC: Tutorial} and applications},
journal="Chemometrics and Intelligent Lab. Syst.",
volume="38",
number="2",
pages="149-171",
year="1997",
doi={10.1016/S0169-7439(97)00032-4}
}
@article{ali-krylov-1996,
title={{Tensor-Krylov} methods for large nonlinear equations},
author={Bouaricha, A.},
journal={Comp. Optimization Appl.},
volume={5},
number={3},
pages={207--232},
year={1996}
}
@article{comon-quantics-1996,
author = "P. Comon and B. Mourrain",
title = "Decomposition of quantics in sums of powers of linear forms",
journal = "Signal Processing",
volume = "53",
number = "2",
pages = "93 - 107",
year = "1996",
doi = "10.1016/0165-1684(96)00079-5",
}
@article{sloan-quasi-MC-1998,
title={When are {quasi-Monte Carlo} algorithms efficient for high dimensional integrals},
author={Sloan, I.H. and Wozniakowski, H.},
fjournal={Journal of Complexity},
journal={J. of Complexity},
volume={14},
number={1},
pages={1--33},
year={1998},
publisher={Elsevier}
}
@phdthesis{bro-food-1998,
author = {Bro, R.},
title = {Multi-way analysis in the food industry: models, algorithms, and applications},
year = 1998,
school={K{\o}benhavns UniversitetK{\o}benhavns Universitet, Det Biovidenskabelige Fakultet for F{\o}devarer, VeteFaculty of Life Sciences, Institut for F{\o}devarevidenskabDepartment of Food Science, Kvalitet og TeknologiQuality \& Technology}
}
@article{bro-parafac2-1999,
author = {Bro, R. and Andersson, C.A. and Kiers, H.A.L.},
title = {{PARAFAC2-Part II.} Modeling chromatographic data with retention time shifts},
journal = {Journal of Chemometrics},
year = {1999},
volume = {13},
number = {3-4},
pages = {295--309},
}
@article{leurgans-multmod-1992,
author = {Leurgans, S. and Ross, R.T.},
title = {Multilinear models: applications in spectroscopy},
journal = {Statistical Science},
year = 1992,
volume = {7},
number = 3,
pages = {289--310},
publisher = {Institute of Mathematical Statistics}
}
@article{kiers-3step-1998,
author = {Kiers, H.A.L.},
title = {A three-step algorithm for {CANDECOMP/PARAFAC} analysis of large data sets with multicollinearity},
journal = {Journal of Chemometrics},
year = {1998},
volume = {12},
number = {3},
pages = {155--171},
area = {tensors},
}
@article{rokhlin-gauss-1998,
author = {Rokhlin, V. and Yarvin, N.},
title = {Generalized {Gaussian} quadratures in singular value decompositions of integral operators},
journal = {SIAM J. Sci. Comput.},
year = {1998},
volume = {20},
number = {2},
pages = {699-718},
doi = {http://dx.doi.org/10.1137/S1064827596310779},
area = {tensors, multipole},
}
@inproceedings{lathauwer-mult-1998,
author = {de Lathauwer, L. and de Moor, B.},
booktitle = {Institute of mathematics and its applications conference series},
pages = {1--16},
title = {From matrix to tensor: {Multilinear} algebra and signal processing},
volume = {67},
year = {1998}
}
@article{andersson-nway-1999,
author = {Andersson, C.A. and Henrion, R.},
title = {A general algorithm for obtaining simple structure of core arrays in {N-way PCA} with application to fluorometric data},
journal = {Computational Statistics and Data Analysis},
year = {1999},
volume = {31},
number = {3},
pages = {255--278},
}
@article{paatero-engine-1999,
author = {Paatero, P.},
title = {The multilinear engine: a table-driven, least squares program for solving multilinear problems, including the n-way parallel factor analysis model},
journal = {Journal of Computational and Graphical Statistics},
year = {1999},
pages = {854--888},
publisher = {American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America}
}
@article{shub-newton-1999,
author={Dedieu, J. P. and Shub, M.},
title={Newton's method for overdetermined systems of equations},
journal={Math. Comput.},
volume={69},
number={281},
pages={1099-1115},
year={1999}
}
%%% 2000
@inproceedings{comon-2000,
author="Comon, P.",
title={Tensor decomposition: state of the art and applications},
booktitle={IMA Conf. Math. in Sig. Proc., Warwick, UK},
year="2000"
}
@article{lathauwer-svd-2000,
author={de Lathauwer, L. and de Moor, B. and Vandewalle, J.},
title={A multilinear singular value decomposition},
journal="SIAM J. Matrix Anal. Appl.",
volume="21",
pages="1253--1278",
year="2000",
doi={10.1137/s0895479896305696}
}
@article{lathauwer-rank1-2000,
author={de Lathauwer, L. and de Moor, B. and Vandewalle, J.},
title={On best rank-$1$ and {rank-($R_1, R_2, ..., R_N$)} approximation of high-order tensors},
journal={SIAM J. Matrix Anal. Appl.},
volume="21",
pages="1324-1342",
year="2000"
}
@article{bebe-2000,
title={Approximation of boundary element matrices},
author={Bebendorf, M.},
journal={Numer. Math},
volume={86},
number={4},
pages={565--589},
year={2000},
publisher={Springer},
issn={0029-599X},
doi={10.1007/pl00005410}
}
@article{sidiropoulos-nway-2000,
author = {Sidiropoulos, N.D. and Bro, R. and Giannakis, G.B.},
title = {Parallel factor analysis in sensor array processing},
journal = {IEEE transactions on Signal Processing},
year = {2000},
volume = {48},
number = {8},
pages = {2377--2388},
}
@article{buhmann-radial-2000,
title={Radial basis functions},
author={Buhmann, M.D.},
journal={Acta Numerica},
volume={9},
number={1},
pages={1--38},
year={2000},
}
@article{andersson-nwaytoolbox-2000,
author = {Andersson, C.A. and Bro, R.},
title = {{The N-way Toolbox for MATLAB}},
journal = {Chemometrics and Intelligent Laboratory Systems},
year = {2000},
volume = {52},
number = {1},
pages = {1--4},
publisher = {Elsevier}
}
%%% 2001
@article{GGT-Sparse-Grids-DM-2001,
author = {Garcke, J. and Griebel, M. and Thess, M.},
title = {Data mining with sparse grids},
journal = {Computing},
year = {2001},
volume = {67},
number = {3},
pages = {225-253}
}
@article{kiers-3way-2001,
author = {Kiers, H.A.L. and Van Mechelen, I.},
title = {Three-way component analysis: Principles and illustrative application},
journal = {Psychological methods},
year = {2001},
volume = {6},
number = {1},
pages = {84--110},
publisher = {American Psychological Association}
}
@techreport{nielsen-lm-2001,
author={Nielsen, H. B.},
title={Damping parameter in Marquardt's method},
institution={TU Inform. Math. Model.},
address={Denmark},
year={1999},
number={{}},
url={www.imm.dtu.dk/~hbn/publ/TR9905.ps}
}
%%%2001
@article{kolda-ortho-2001,
title={Orthogonal tensor decompositions},
author={Kolda, Tamara G.},
journal = {SIAM J. Matrix Anal. Appl.},
volume={23},
number={1},
pages={243--255},
year={2001},
doi = {10.1137/S0895479800368354},
}
@article{zhang-rank1-2001,
author={Zhang, T. and Golub, G. H.},
title={Rank-one approximation to high-order tensors},
journal={SIAM J. Matrix Anal. Appl.},
year={2001},
volume={23},
pages={534-550}
}
%%%2002
@article{beylkin-2002,
author="Beylkin, G. and Mohlenkamp, M. J.",
title="{Numerical operator calculus in higher dimensions}",
journal="Proc. Nat. Acad. Sci. USA ",
volume="99",
number="16",
pages="10246-10251",
year="2002",
doi="10.1073/pnas.112329799"
}
@article{ilghiz-2002,
author="Ibraghimov, I.",
title="{Application of the three-way decomposition for matrix compression}",
journal="Numer. Linear Algebra Appl.",
volume="9",
number="6-7",
pages="551-565",
year="2002",
doi="10.1002/nla.297"
}
@article{yeredor-acdc-2002,
title={{Non-orthogonal joint diagonalization in the least-squares sensewith application in blind source separation}},
author={Yeredor, A.},
journal={IEEE Trans. on Signal Proc.},
volume={50},
number={7},
pages={1545--1553},
year={2002}
}
@article{vasilescu-tensorfaces-2002,
author = {Vasilescu, M.A.O. and Terzopoulos, D.},
title = {Multilinear analysis of image ensembles: {Tensorfaces}},
journal = {Lecture Notes in Computer Science},
year = {2002},
pages = {447--460},
publisher = {Springer}
}
@article{chen-blind-2002,
author = {Chen, B. and Petropulu, A.P. and de Lathauwer, L.},
title = {Blind identification of convolutive {MIMO} systems with 3 sources and 2 sensors},
journal = {EURASIP Journal on Applied Signal Processing},
year = {2002},
volume = {5},
pages = {487--496},
}
@article{ghk-h-exp-2002,
title={$\mathcal{H}$-{M}atrix approximation for the operator exponential with applications},
author={Gavrilyuk, I. P. and Hackbusch, W. and Khoromskij, B. N.},
journal={Numerische Mathematik},
volume={92},
number={1},
pages={83--111},
year={2002},
doi={10.1007/s002110100360},
}
%%%2003
@article{zhang-mals-2003,
author={Wang, J.-H. and Hopke, P. K. and Hancewicz, T. M. and Zhang, S. L.},
title={Application of modified least squares regression to spectroscopic image analysis},
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year={2003},
volume={476},
pages={93-109}
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@article{blaser-matmul-2003,
author = {Blaser, M.},
title = {On the complexity of the multiplication of matrices of small formats},
journal = {Journal of Complexity},
year = {2003},
volume = {19},
number = {1},
pages = {43--60}
}
@article{andersen-pracfac-2003,
author = {Andersen, C. M. and Bro, R.},
title = {Practical aspects of {PARAFAC} modeling of fluorescence excitation-emission data},
journal = {J. Chemometrics},
year = {2003},
volume = {17},
pages = {200--215}
}
@article{landry-highperftensor-2003,
author = {Landry, W.},
title = {Implementing a high performance tensor library},
journal = {Scientific Programming},
year = {2003},
volume = {11},
number = {4},
pages = {273--290},
publisher = {IOS Press}
}
@Article{Gerstner-adapt-SG-2003,
author="Gerstner, T. and Griebel, M.",
title="Dimension--Adaptive Tensor--Product Quadrature",
journal="Computing",
volume="71",
number="1",
pages="65--87",
year="2003",
doi="10.1007/s00607-003-0015-5",
}
@inProceedings{Hegland-adapt-SG-2003,
author = "M. Hegland ",
title = "Adaptive sparse grids",
journal = "ANZIAM J.",
volume = "44",
pages = "C335--C353",
year = 2003,
booktitle = "Proc. of 10th Computational Techniques and Applications Conference CTAC-2001",
editor = "K. Burrage and Roger B. Sidje",
}
%%%2004
@article{beylkin-quantum-2004,
author="Beylkin, G. and Fann, G. and Gan, Z. and Harrison, R. and Yanai, T.",
title="{Multiresolution quantum chemistry: basic theory and initial applications}",
journal=" J. Chem. Phys.",
volume="121",
number="23",
pages="11587-11598",
year="2004",
doi="10.1063/1.1791051"
}
@article{grasedyck-kron-2004,
author={Grasedyck, L.},
title={Existence and computation of low {Kronecker-rank} approximations for large systems in tensor product structure},
journal={Computing},
volume={72},
pages={247-265},
year={2004}
}
@article{miwakeichi-eeg-2004,
author = {Miwakeichi, F. and Martinez-Montes, E. and Valdes-Sosa, P.A. and Nishiyama, N. and Mizuhara, H. and Yamaguchi, Y.},
title = {Decomposing {EEG} data into space--time--frequency components using parallel factor analysis},
journal = {NeuroImage},
year = {2004},
volume = {22},
number = {3},
pages = {1035--1045},
publisher = {Elsevier}
}
@article{lathauwer-schur-2004,
author={de Lathauwer, L. and de Moor, B. and Vandewalle, J.},
title={Computing of canonical decomposition by means of a simultaneous generalized {Schur} decomposition},
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volume="26",
pages="295-327",
year="2004",
}
@ARTICLE{PeterSchwab-parabolic-2004,
author = {von Petersdorff, T. and Schwab, Ch.},
title = {Numerical solution of parabolic equations in high dimensions},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
year = {2004},
volume = {38},
pages = {93-127},
number = {01},
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url = {http://dx.doi.org/10.1051/m2an:2004005}
}
@article{griebel-sparsegrids-2004,
author={Bungatrz, H.-J. and Griebel, M.},
title={Sparse grids},
journal={Acta Numerica},
year={2004},
volume={13},
number={1},
pages={147--269},
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}
@book{smilde-book-2004,
author = {Smilde, A.K. and Bro, R. and Geladi, P.},
title = {Multi-way analysis with applications in the chemical sciences},
publisher = {Wiley},
year = {2004}
}
@article{lathauwer-red-2004,
author = {De Lathauwer, L. and Vandewalle, J.},
title = {Dimensionality reduction in higher-order signal processing and {rank-($R_1, R_2,..., R_N$)} reduction in multilinear algebra},
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@article{Maday-eim-2004,
author = "M. Barrault and Y. Maday and N. C. Nguyen and A. T. Patera",
title = "An ``empirical interpolation'' method: application to efficient reduced-basis discretization of partial differential equations",
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volume = "339",
number = "9",
pages = "667 - 672",
year = "2004",
doi = "10.1016/j.crma.2004.08.006",
}
%%%2005
@article{beylkin-expsum-2005,
title = {On approximation of functions by exponential sums},
author = {Beylkin, Gregory and Monz{\'o}n, Lucas},
journal = {Appl. Comput. Harm. Anal.},
volume = {19},
number = {1},
pages = {17--48},
year = {2005},
doi = {10.1016/j.acha.2005.01.003},
}
@article{acar-chatroom-2005,
author = {Acar, E. and Camtepe, S.A. and Krishnamoorthy, M.S. and Yener, B.},
title = {Modeling and multiway analysis of chatroom tensors},
journal = {ISI},
year = {2005},
volume = {3495},
pages = {256--268},
}
@article{beckmann-fmri-2005,
author = {Beckmann, C. F. and Smith, S. M.},
title = {Tensorial extensions of independent component analysis for multisubject {FMRI} analysis},
journal = {Neuroimage},
year = {2005},
volume = {25},
number = {1},
pages = {294--311},
}
@article{muti-filter-2005,
author = {Muti, D. and Bourennane, S.},
title = {Multidimensional filtering based on a tensor approach},
journal = {Signal Processing},
year = {2005},
volume = {85},
number = {12},
pages = {2338--2353},
}
@article{gourvenec-cubatch-2005,
author = {Gourv{\'e}nec, S. and Tomasi, G. and Durville, C. and Di Crescenzo, E. and Saby, CA and Massart, DL and Bro, R. and Oppenheim, G.},
title = {{CuBatch, a MATLAB{\textregistered} interface for n-mode data analysis}},
journal = {Chemometrics and Intelligent Laboratory Systems},
year = 2005,
volume = {77},
pages = {122--130},
publisher = {Elsevier}
}
@article{VJunk-QMC-for-FP-2005,
author = {Venkiteswaran, G. and Junk, M.},
title = {A {QMC} approach for high dimensional {Fokker-Planck} equations modelling polymeric liquids},
journal = {Mathematics and Computers in Simulation},
volume = {68},
number = {1},
pages = {43 - 56},
year = {2005},
doi = {DOI: 10.1016/j.matcom.2004.09.002}
}
@article{hackbra-expsum-2005,
author = {Hackbusch, W. and Braess, D.},
title = {Approximation of {$\frac{1}{x}$} by exponential sums in {$[1,\infty]$}},
journal = {IMA J. Numer. Anal.},
pages = {685-697},
number = {4},
volume = {25},
year = {2005},
area = {tensors,quadratures},
}
@article{beylkin-high-2005,
author={Beylkin, G. and Mohlenkamp, M. J.},
title="{Algorithms for numerical analysis in high dimensions}",
journal="SIAM J. Sci. Comput. ",
volume="26",
number="6",
pages="2133-2159",
year="2005"
}
@article{GHK-ten_inverse_ellipt-2005,
author = {Gavrilyuk, I. P. and Hackbusch, W. and Khoromskij, B. N.},
title = {Tensor-product approximation to the inverse and related operators in high-dimensional elliptic problems},
journal = {Computing},
number = {74},
pages = {131-157},
year = {2005},
doi={10.1007/s00607-004-0086-y},
}
@article{Yserentant-Sparse-Grids-Schroedinger-2005,
author = {Yserentant, H.},
doi = {10.1007/s00211-005-0581-x},
fjournal = {Numerische Mathematik},
journal = {Numer. Math.},
number = {2},
pages = {381--389},
title = {Sparse grid spaces for the numerical solution of the electronic {Schr\"odinger} equation},
volume = {101},
year = {2005}
}
@book{griebel-sparsegrids-2005,
title={Sparse grids and related approximation schemes for higher dimensional problems},
author={Griebel, M.},
year={2005},
publisher={SFB 611}
}
%%%2006
@article{mahoney-cur-2006,
author={Drineas, P. and Kannan, R. and Mahoney, M. W.},
title={Fast {Monte Carlo} algorithms for matrices {III}: {Computing} a compressed approximate matrix decomposition},
journal={SIAM J Comput},
volume={36},
number={1},
pages={184-206},
year={2006},
doi={10.1137/S0097539704442702}
}
@article{sun-window-2006,
author = {Sun, J. and Papadimitriou, S. and Yu, P.S.},
title = {Window-based tensor analysis on high-dimensional and multi-aspect streams},
journal = {Proc. ICDM2006},
year = {2006},
}
@article{morup-waveeg-2006,
author = {{M{\o}rup, M. and Hansen, L.K. and Herrmann, C.S. and Parnas, J. and Arnfred, S.M.}},
title = {Parallel factor analysis as an exploratory tool for wavelet transformed event-related {EEG}},
journal = {NeuroImage},
year = {2006},
volume = {29},
number = {3},
pages = {938--947},
publisher = {Elsevier}
}
@article{hu-ALS-2006,
author = {Hu, L.Q. and Wu, H.L. and Ding, Y.J. and Fang, D.M. and Xia, A. and Yu, R.Q.},
title = {Alternating asymmetric trilinear decomposition for three-way data arrays analysis},
journal = {Chemometrics and Intelligent Laboratory Systems},
year = 2006,
volume = {82},
pages = {145--153},
area = {tensors},
}
@article{bro-review-2006,
author = {Bro, R.},
title = {Review on multiway analysis in chemistry --- 2000-2005},
journal = {Critical reviews in analytical chemistry},
year = {2006},
volume = {36},
number = {3},
pages = {279--293},
publisher = {CRC Press, Inc, 2000 Corporate Blvd, NW, Boca Raton, FL, 33431, USA,}
}
@article{khor-rstruct-2006,
title={Structured {rank-$(r_1,\ldots,r_d)$} decomposition of function-related operators in {$\mathbb{R}^d$}},
author={Khoromskij, B. N.},
journal={Comput. Methods Appl. Math},
year={2006},
volume={6},
number={2},
pages={194-220}
}
@article{tensortoolbox-2006,
author={Bader, B. W. and Kolda, T. G.},
title={{Algorithm 862: MATLAB} tensor classes for fast algorithm prototyping},
journal="ACM T. Math. Soft.",
volume="32",
number="4",
year="2006"
}
@article{khor-low-rank-kron-P1-2006,
author = {Hackbusch, W. and Khoromskij, B. N.},
title = {Low-rank {Kronecker-product} approximation to multi-dimensional nonlocal operators. {I}. {Separable} approximation of multi-variate functions},
journal = {Computing},
year = {2006},
volume = {76},
number = {3-4},
pages = {177--202},
doi={10.1007/s00607-005-0144-0}
}
@article{khor-low-rank-kron-P2-2006,
author = {Hackbusch, W. and Khoromskij, B. N.},
title = {Low-rank {Kronecker-product} approximation to multi-dimensional nonlocal operators. {II}. {HKT} representation of certain operators},
journal = {Computing},
year = {2006},
volume = {76},
number = {3-4},
pages = {203--225},
doi={10.1007/s00607-005-0145-z}
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@article{wang-high-dim-finance-2006,
title={Why are high-dimensional finance problems often of low effective dimension?},
author={Wang, X. and Sloan, I. H.},
journal={SIAM J. Sci. Comput.},
volume={27},
number={1},
pages={159--183},
year={2006},
}
@article{liu-anova-2006,
title={Estimating mean dimensionality of analysis of variance decompositions},
author={Liu, R. and Owen, A.B.},
journal={Journal of the American Statistical Association},
volume={101},
number={474},
pages={712--721},
year={2006},
publisher={ASA}
}