Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Luke Oeding"'
Autor:
Ran Cheng, Uday S. Goteti, Harrison Walker, Keith M. Krause, Luke Oeding, Michael C. Hamilton
Publikováno v:
Frontiers in Neuroscience, Vol 15 (2021)
We explore the use of superconducting quantum phase slip junctions (QPSJs), an electromagnetic dual to Josephson Junctions (JJs), in neuromorphic circuits. These small circuits could serve as the building blocks of neuromorphic circuits for machine l
Externí odkaz:
https://doaj.org/article/25254a0173654ec58360e1fbd29174a6
Publikováno v:
Frontiers in Neuroscience, Vol 11 (2017)
A Brain-Computer Interface (BCI) is a setup permitting the control of external devices by decoding brain activity. Electroencephalography (EEG) has been extensively used for decoding brain activity since it is non-invasive, cheap, portable, and has h
Externí odkaz:
https://doaj.org/article/f4ca0829d5254645a98ac41cafbc7efa
Autor:
Pedro Macias Marques, Luke Oeding
Publikováno v:
Le Matematiche, Vol 64, Iss 2, Pp 155-176 (2009)
We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian. We find necessary and sufficient conditions for the case of the Grassmanian of symplec
Externí odkaz:
https://doaj.org/article/fda66c2180f54054a23cd1d21cb1d15a
Autor:
Frédéric Holweck, Luke Oeding
Publikováno v:
Journal of Algebra. 593:622-650
We find expressions of the polynomials defining the dual varieties of Grassmannians Gr ( 3 , 9 ) and Gr ( 4 , 8 ) both in terms of the fundamental invariants and in terms of a generic semi-simple element. We restrict the polynomial defining the dual
Autor:
Dalton Bidleman, Luke Oeding
Restricted secant varieties of Grassmannians are constructed from sums of points corresponding to $k$-planes with the restriction that their intersection has a prescribed dimension. We study dimensions of restricted secant of Grassmannians and relate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edbdf1182f69c94d196b539f856ddbb7
Autor:
Luke Oeding, Hamza Jaffali
We review supervised learning and deep neural network design for learning membership on algebraic varieties. We demonstrate that these trained artificial neural networks can predict the entanglement type for quantum states. We give examples for detec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cb9b732a5c677939f07b0da0d41455f
http://arxiv.org/abs/1908.10247
http://arxiv.org/abs/1908.10247
Publikováno v:
Portugaliae Mathematica. 73:71-90
In 2013, Abo and Wan studied the analogue of Waring's problem for systems of skew-symmetric forms and identified several defective systems. Of particular interest is when a certain secant variety of a Segre-Grassmann variety is expected to fill the n
Publikováno v:
Mathematics in Computer Science. 8:147-156
We briefly review previous work on the invariant theory of 3 × 3 × 3 arrays. We then recall how to generate arrays of arbitrary size $${m_1 \times \cdots \times m_k}$$ with hyperdeterminant 0. Our main result is an explicit formula for the 3 × 3
Autor:
Luke Oeding, Claudiu Raicu
Publikováno v:
Collectanea Mathematica. 65:303-330
We determine the minimal generators of the ideal of the tangential variety of a Segre–Veronese variety, as well as the decomposition into irreducible $${GL}$$ -representations of its homogeneous coordinate ring. In the special case of a Segre varie
Autor:
Luke Oeding
Publikováno v:
Advances in Mathematics. 231(3-4):1308-1326
The hyperdeterminant of a polynomial (interpreted as a symmetric tensor) factors into several irreducible factors with multiplicities. Using geometric techniques these factors are identified along with their degrees and their multiplicities. The anal