29 Publications (Page 1 of 2)
2021
Toward Learning in Neuromorphic Circuits Based on Quantum Phase Slip Junctions.Cheng, Ran⋅Cheng, Ran⋅Goteti, Uday S⋅Goteti, Uday S⋅Walker, Harrison⋅Walker, Harrison⋅Krause, Keith M⋅Krause, Keith M⋅Oeding, Luke⋅Oeding, Luke⋅Hamilton, Michael C and Hamilton, Michael CFrontiers in neuroscience, vol. 15, pp. 765883, 2021.
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2019
Homotopy techniques for tensor decomposition and perfect identifiabilityHauenstein, Jonathan D⋅Oeding, Luke⋅Ottaviani, Giorgio and Sommese, Andrew JJournal für die reine und angewandte Mathematik (Crelles Journal), vol. 2019, (no. 753), pp. 22, 2019-08-01.
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Learning Algebraic Models of Quantum EntanglementJaffali, Hamza and Oeding, Luke2019-08-27.
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2018
Hyperdeterminants from the $E_8$ DiscriminantHolweck, Frédéric and Oeding, Luke2018-10-13.
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2017
A New Generation of Brain-Computer Interfaces Driven by Discovery of Latent EEG-fMRI Linkages Using Tensor DecompositionDeshpande, Gopikrishna⋅Deshpande, Gopikrishna⋅Rangaprakash, D⋅Rangaprakash, D⋅Oeding, Luke⋅Oeding, Luke⋅Cichocki, Andrzej⋅Cichocki, Andrzej⋅Hu, Xiaoping P and Hu, Xiaoping PFrontiers in neuroscience, vol. 11, pp. 246, 2017-00-00.
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Symmetrization of principal minors and cycle-sumsHuang, Huajun⋅Huang, Huajun⋅Huang, Huajun⋅Huang, Huajun⋅Oeding, Luke⋅Oeding, Luke⋅Oeding, Luke and Oeding, LukeLinear and Multilinear Algebra, vol. 65, (no. 6), pp. 1219, 6/3/2017.
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The quadrifocal varietyOeding, LukeLinear Algebra and its Applications, vol. 512, Jan 1, 2017.
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The quadrifocal varietyOeding, LukeLinear Algebra and Its Applications, vol. 512, pp. 330, 2017-01-01.
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2016
Are all Secant Varieties of Segre Products Arithmetically Cohen-Macaulay?Oeding, Luke2016-03-29.
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Border Ranks of MonomialsOeding, Luke2016-08-08.
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Computations and equations for Segre-Grassmann hypersurfacesDaleo, Noah⋅Hauenstein, Jonathan and Oeding, LukePortugaliae Mathematica, vol. 73, (no. 1), pp. 90, 20160000.
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Decomposing tensors into framesOeding, Luke⋅Oeding, Luke⋅Robeva, Elina⋅Robeva, Elina⋅Sturmfels, Bernd and Sturmfels, BerndAdvances in Applied Mathematics, vol. 73, pp. 153, February 2016.
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Equations for the Fifth Secant Variety of Segre Products of Projective SpacesOeding, Luke⋅Oeding, L.⋅Oeding, L.⋅Sam, Steven V⋅Sam, S.V. and Sam, S.V.Experimental Mathematics, vol. 25, (no. 1), pp. 99, 1/2/2016.
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2015
The Quadrifocal VarietyOeding, Luke2015-01-06.
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2014
Computations and Equations for Segre-Grassmann hypersurfacesDaleo, Noah S⋅Hauenstein, Jonathan D and Oeding, Luke2014-08-09.
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Homotopy techniques for tensor decomposition and perfect identifiabilityHauenstein, Jonathan D⋅Oeding, Luke⋅Ottaviani, Giorgio and Sommese, Andrew J2014-12-31.
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Tangential varieties of Segre–Veronese varietiesOeding, Luke and Raicu, ClaudiuCollectanea Mathematica, vol. 65, (no. 3), pp. 330, 20140900.
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The 3 × 3 × 3 Hyperdeterminant as a Polynomial in the Fundamental Invariants for $${{SL_3(\mathbb{C}) \times SL_3(\mathbb{C}) \times SL_3(\mathbb{C})}}$$ S L 3 ( C ) × S L 3 ( C ) × S L 3 ( C )Bremner, Murray⋅Hu, Jiaxiong and Oeding, LukeMathematics in Computer Science, vol. 8, (no. 2), pp. 156, 20140600.
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The ideal of the trifocal varietyAholt, Chris and Oeding, LukeMathematics of Computation of the American Mathematical Society, vol. 83, (no. 289), pp. 2574, September 1, 2014.
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2013
Eigenvectors of tensors and algorithms for Waring decompositionOeding, Luke and Ottaviani, GiorgioJournal of Symbolic Computation, vol. 54, pp. 35, July 2013.
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2012
Hyperdeterminants of polynomialsOeding, LukeAdvances in Mathematics, vol. 231, (no. 3-4), pp. 1326, October-November 2012.
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2011
Set-theoretic defining equations of the tangential variety of the Segre varietyOeding, LukeJournal of Pure and Applied Algebra, vol. 215, (no. 6), pp. 1527, 2011.
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Set-theoretic defining equations of the variety of principal minors of symmetric matricesOeding, LukeAlgebra & Number Theory, vol. 5, (no. 1), pp. 109, 2011-08-22.
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Tangential varieties of Segre-Veronese varietiesOeding, Luke and Raicu, Claudiu2011-11-26.
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Toward a Salmon ConjectureBates, Daniel J and Oeding, LukeExperimental Mathematics, vol. 20, (no. 3), pp. 370, 9/1/2011.
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