Results 41 to 50 of about 11,668,875 (322)
On Sketching Quadratic Forms [PDF]
Information Technology Convergence and Services, 2015 We undertake a systematic study of sketching a quadratic form: given an n x n matrix A, create a succinct sketch sk(A) which can produce (without further access to A) a multiplicative (1+ε)-approximation to xT A x for any desired query x ∈ Rn.
Alexandr Andoni +5 more
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On the Rank of Universal Quadratic Forms over Real Quadratic Fields
Documenta Mathematica, 2018 We study the minimal number of variables required by a totally positive definite diagonal universal quadratic form over a real quadratic field Q( √ D) and obtain lower and upper bounds for it in terms of certain sums of coefficients of the associated ...
V. Blomer, Vítězslav Kala
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Optimal strong approximation for quadratic forms [PDF]
Duke mathematical journal, 2015 For a non-degenerate integral quadratic form $F(x_1, \dots , x_d)$ in $d\geq5$ variables, we prove an optimal strong approximation theorem. Let $\Omega$ be a fixed compact subset of the affine quadric $F(x_1,\dots,x_d)=1$ over the real numbers.
Naser T. Sardari
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Some remarks on duality and optimality of a class of constrained convex quadratic minimization problems [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper the duality and optimality of a class of constrained convex quadratic optimization problems have been studied. Furthermore, the global optimality condition of a class of interval quadratic minimization problems has also been ...
Roy Sudipta +2 more
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Toward a genealogy of modernism: Herder, Nietzsche, history [PDF]
, 2006 A positive definite quadratic form is called perfect, if it is uniquely determined by its arithmetical minimum and the integral vectors attaining it.
Zusi, P.
core +3 more sources
Flexible results for quadratic forms with applications to variance components estimation [PDF]
, 2015 We derive convenient uniform concentration bounds and finite sample multivariate normal approximation results for quadratic forms, then describe some applications involving variance components estimation in linear random-effects models.
Lee H. Dicker, Murat A. Erdogdu
semanticscholar +1 more source
Group and round quadratic forms
, 2017 We offer some elementary characterisations of group and round quadratic forms. These characterisations are applied to establish new (and recover existing) characterisations of Pfister forms. We establish "going-up" results for group and anisotropic round
O'Shea, James
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, 2016 Let $-d$ be a a negative discriminant and let $T$ vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $-d$.
A Earnest +24 more
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State Space Modeling with Non-Negativity Constraints Using Quadratic Forms
Mathematics, 2021 State space model representation is widely used for the estimation of nonobservable (hidden) random variables when noisy observations of the associated stochastic process are available.
Ourania Theodosiadou, George Tsaklidis
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Yang-Mills theories and quadratic forms [PDF]
, 2015 A bstractWe show that the Hamiltonian of (N=1$$ \mathcal{N}=1 $$, d = 10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4$$ \mathcal{N}=4 $$, d = 4) theory. We find a similar quadratic form structure for
S. Ananth, L. Brink, Mahendra Mali
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